MEMORANDUM #1 Date: REVISED February 22, 2013 FROM: Gary Resnick, Ph.D., and Pamela Kelley, Ph.D. TO: Sherri Killins, Commissioner and Jennifer Louis, Project Manager, Massachusetts Early Education and Care RE: Massachusetts Common Metric Project: Memorandum #1 (REVISED), Identify Common Items within Domains ---------------------------------------------------------------------------------------------------------------Executive Summary 1. An investigation into the extent of conceptual alignment across the three instruments (WSS, GOLD, and COR) suggests a moderate-to-high degree of alignment. In other words, the test developer’s domains were found to be relatively comparable across the three instruments, and there appeared to be good coverage of similar items across all three instruments. For example, of the total 407 items, 75% matched on all three instruments, while only 25% were partial matches (i.e. matched on two or less of the three instruments). This finding supports the plan to move forward with more in-depth analyses. 2. Each instrument was tested separately for internal consistency and reliability by domain. The results suggest a high degree of reliability on all three instruments, with WSS and GOLD having very high reliability (domain alpha coefficients of .93 or greater), while COR was somewhat lower with a wider range (domain alpha coefficients of 0.79 to 0.95). These results suggest that the items used to measure the developer domains were consistent and all tap the same underlying construct. 3. Each instrument was tested separately to assess the extent to which scores were normally distributed. Normally distributed scores can be one indicator of how well an instrument measures or distinguishes between different levels of children’s’ ability. The results were mixed. For example, for WSS, large groups of children had high scores, creating a “ceiling effect” which may indicate the test is not effective at identifying children at different levels of ability for a given developmental domain. For GOLD, normal distributions appeared more consistent, however, a pattern was observed in which scores were clustered in the center of the distribution, suggesting that the test may not distinguish children with particularly low or high ability levels. The COR showed a mixture of both of these distribution patterns. These results suggest that the full range of children’s abilities may not be fully represented by these test domains. Massachusetts EEC Common Metric Project Memorandum #1 2 4. The assessments were also tested for their ability to distinguish between children’s ability levels by age group. Age group differences in which younger children are rated consistently lower on a test than older children indicate that the test detects maturational differences. Also tested was the interaction effects between age and quartile groups to determine whether younger or older children hold their positions across skill levels. Our testing found mixed results. On the one hand there were significant age differences in the expected developmental progression for many subdomains on all three tests. On the other hand, the age group differences do not consistently hold up across different ability level groups. For example, on the WSS Social Studies subdomain, three-year olds and fiveyear olds in the lowest ability quartile for their age group had similar scores. These types of mixed findings were evident for at least two subdomains across all three assessments. 5. There are two recommendations that we can make based on the level of missing data found in the dataset, which far exceeds the convention for the amount of missing data “allowed” to continue the sophisticated analyses planned in the next phases of this project. First, the factor analytic analyses should be considered preliminary due to the amount of missing data, and there is concern that there may be enough cases to properly explore some subgroups of the population. A second suggestion is that it would be useful to discuss these missing data issues and potential strategies for improving the quality of future assessment data. The following memorandum describes the first set of tasks completed under the Common Metric Project. The project comprises a descriptive study of three criterion-referenced child assessment tools in use by early education and care providers within the Commonwealth of Massachusetts. The Massachusetts Department of Early Education and Care made these tools available, along with the training, to allow providers to assess their children’s strengths and challenges, to assist with educational programming. However, these tools may also provide aggregate information programmatically on children’s progress in the five developmental domains, in order to benchmark developmental growth. To do so, it would be important to devise a common metric so that children on the various tests can be compared. Further, the common metric would be norm-referenced, allowing for comparing groups of children of different ages with their peers. This project will assess the feasibility of developing a statistical methodology to answer the question of what are the baseline skills, knowledge and abilities of children entering preschool and kindergarten, using descriptive analytic methods. To do this, the project is focused on determining the commonalities among Teaching Strategies GOLD, High Scope Child Observation Record, and Work Sampling System assessments tools in measuring five key developmental domains. This memorandum is the first of three and represents early analytic work examining the three tests conceptually and empirically. In this memorandum, we cover the following key areas: 1. 2. 3. 4. Determine Alignment of Items and Developmental Domains across the Assessments Explore Distributions for Test Developer Domain Score Distributions Describe Internal Consistency Reliability of Test Developer Domain Scores Assess Developmental Differences and Progression by Ages and Quartiles, by test Massachusetts EEC Common Metric Project Memorandum #1 3 The purpose of these tasks is to explore how each test defines key domains of development1, and, based on data collected by MA EEC, determining the distributions of the domain or sub-domain scores. The first task focuses on determining the extent to which the items and domains or sub-domains of development from each of the three assessments are aligned with each other, and how they correspond to the five larger domains of development typically considered as key areas of young children’s early skills. The second task is designed to understand the distribution of sub-domain scores for each test and whether the scores meet the assumptions of normality required for more extensive factor analyses. The third task is to describe how well the items from each test are highly correlated as intended to measure the test developer’s domains or sub-domains of development. That is, we will report on the internal consistency form of reliability for each of the tests key sub-scales. The final task is to determine whether scores from the three tests show the expected progression across ages and across groups of children at the lower and higher ends of the distribution. In this task, we would expect that a test with good measurement properties would be able to distinguish younger from older children as well as children within age groups who are operating below or above their peer group. All analyses were conducted using those developmental domains or sub-domains designed by the test developer, to determine whether scores on these domains reflect meaningful distinctions in children’s abilities and development. The results will help to determine the feasibility of conducting the exploratory and confirmatory factor analyses in the next phases of this project. Analytic Methods and Procedures The assessment instruments referred to in this report include the following: Teaching Strategies Gold (GOLD), the Child Observation Record (COR), and Work Sampling System (WSS). The WSS includes five separate but related assessments: Preschool 3 (P3), Preschool 4 (P4), Head Start 3 (HS3), Head Start 4 (HS4), and Kindergarten (K). The Work Sampling System (WSS), Teaching Strategies GOLD (GOLD), and Child Observation Record (COR) use ordinal rating scales to measure children’s progress. The WSS is based on a three-point scale, the COR uses a six-point scale, and GOLD uses a nine-point scale. For the Common Metric Project, the individual item ratings were summed to create raw scores for each subdomain and domain and a total score was then calculated by summing the domain scores. 1 Domains of development are defined as those areas of development in which test items are grouped. Assessments typically group items into a number of domains according to the test developer’s conceptual framework. Although some tests group individual items into sub-domains, which are then grouped into larger domains, this was not consistently done. If they are done, and when appropriate, we will use the word ‘sub-domain” to denote groupings of items. We also make a distinction between the test developer’s domains of development and those generally accepted to be the five key developmental domains, in order to determine the alignment between the test items across the three tests and their expected relationship to these theoretical domains. Massachusetts EEC Common Metric Project Memorandum #1 4 To address missing data, scores were imputed based on valid cases. That is, a set of decision rules were made whereby a certain number of missing items would be tolerated and a score could be imputed prorated based on the number of valid items. In most situations, if a given case was missing one, two or sometimes three items, a score for that sub-domain could still be generated. If more than the threshold number of missing items occurred, then that case was considered missing. I. Alignment of Items and Developmental Domains across the Assessments Question: To What Extent Do the Developmental Domains and Items Match Across the Three Assessments? A. Alignment of Developmental Domains The first phase of the project focuses on determining the extent to which the three assessments are conceptually aligned. Qualitative and quantitative methods were used to examine the domains, including reviewing the instruments themselves, studying the publisher’s technical support documentation, and counting the number of domains and items within domains. A summary of each assessment is provided below: COR consists of 34 items organized into 6 major domains: 1) initiative, 2) social relations, 3) creative representation, 4) movement and music, 5) language and literacy, and 6) mathematics and science. GOLD consists of 66 items organized into 9 major domains: 1) social-emotional, 2) physical, 3) language, 4) cognitive, 5) literacy, 6) mathematics, 7) science and technology, 8) social studies, and 9) the arts. A tenth domain, English language acquisition, is included to assess language skills for English Language Learners. WSS: the P3 (49 items), P4 (55 items), and K (66 items) assessments are organized into 7 major domains: 1) personal and social development, 2) language and literacy, 3) mathematical thinking, 4) scientific thinking, 5) social studies, 6) the arts, and 7) physical development and health. The HS3 (54 items) and HS4 (59 items) assessments are organized into 10 major domains: 1) physical development and health, 2) social and emotional development, 3) approaches to learning, 4) logic and reasoning, 5) language development, 6) literacy and knowledge skills, 7) mathematics knowledge and skills, 8) science knowledge and skills, 9) creative arts expression, and 10) social studies knowledge and skills. Table 1 summarizes the content of each of the three tests according to the domains listed by the test developer (shaded blue), and within the larger categories of the five key developmental domains drawn from the child development literature and used by the National Massachusetts EEC Common Metric Project Memorandum #1 5 Education Goals Panel (shaded pink).2 These five domains are as follows: 1) social-emotional, 2) language and literacy, 3) cognitive and general knowledge, 4) approaches to learning, and 5) physical development and health. The boundaries between these domains and constructs within them are somewhat artificial, as noted by other experts in the field.3 For example using vocabulary was categorized under language and literacy; however, because it is also relevant to understanding science and general knowledge, it could also have been categorized under cognitive and general knowledge.4 Thus, the five domains are presented here for heuristic purposes only as opposed to child development theory-building.5 Further, some domains, such as language and literacy, have longstanding research supporting their conceptual and operational definitions, while other domains, such as approaches to learning, are less well-defined and in some cases may overlap with cognitive, language and social domains.6 The key distinction in defining approaches to learning is to identify those behaviors that convey a child’s effort and engagement in classroom learning, particularly learning related to attention and persistence (focused, enduring, goal-directed learning), as well as competence motivation (initiative for effectiveness in learning).7 In this project, we use this definition of approaches to learning to classify test items and determine the degree to which the items match, with the understanding that some of the distinctions will be arbitrary, for all domains and perhaps especially for approaches to learning. For the purposes of this project the above five key developmental domains are referred to as the Common Metric Domains to distinguish them from the Test Developer’s Domains. Table 1. Common Metric Domains: Domain Recoding Scheme8 WSS (All Versions) Gold COR Social-Emotional Common Metric Domain 2 See Kagan, S. L., Moore, E., & Bredekamp, S. (Eds.), 1995. Reconsidering children's early development and learning: Toward common views and vocabulary. Report of the National Education Goals Panel, Goal 1 Technical Planning Group. Washington, DC: U.S. Government Printing Office. 3 National Research Council. (2008). Child-Level Outcomes and Measures. In Early Childhood Assessment: Why, What, and How. Committee on Developmental Outcomes and Assessments for Young Children, C.E. Snow and S.B. Van Hemel, Editors. Board on Children, Youth, and Families, Board on Testing and Assessment, Division of Behavioral and Social Sciences and Education. Washington, DC: The National Academies Press. 4 Ibid., 58. 5 Ibid., 58. 6 Ibid., 59 7 McDermott, P. A., Rikoon, S. H., Waterman, C., & Fantuzzo, J. W. (2012). The Preschool Learning Behaviors Scale: Dimensionality and external validity in Head Start. School Psychology Review, 41, 66-81. 8 Items are listed for the COR test while subdomains rather than items are listed for the GOLD and the WSS. Massachusetts EEC Common Metric Project Memorandum #1 Table 1. Common Metric Domains: Domain Recoding Scheme8 WSS (All Versions) Gold COR Personal and Social Development Social Emotional Social Relations Self-Control Self-Concept Interaction with Others Social Problem Solving Regulates own Emotions and Behaviors Establishes and Sustains Positive Relationships Participates Cooperatively and Constructively in Group Situations Relating to Adults Relating to Other Children Resolving Interpersonal Conflict Understanding and Expressing Feelings Approaches to Learning Common Metric Domain Approaches to Learning No Similar Domain9 Initiative Taking Care of Personal Needs Making Choices and Plans Solving Problems with Materials Initiating Play Initiative and Curiosity (HS) Persistence and Attentiveness (HS) Cooperation (HS) Language and Literacy Common Metric Domain Language and Literacy Language and Literacy10 Language and Literacy Listening/Receptive Language Speaking/Expressive Language Reading Writing Alphabet Knowledge (HS) Print Concepts and Conventions (HS) Engagement in English Listening to and Understanding Speech Using Complex Patterns of Speech Using Vocabulary Reading Writing Using Letter Names and Sounds Demonstrating Knowledge about Books Showing Awareness of Sounds in Words Literacy Activities (ELL/HS only) 9 Listens to and Understands Increasingly Complex Language Uses Language to Express Thoughts and Needs Comprehends and Responds to Books and Other Texts Demonstrates Emergent Writing Skills Demonstrates Knowledge of the Alphabet Demonstrates Knowledge of Print and its uses Uses Appropriate Conversation and Other Communication Skills Demonstrates Phonological Awareness English Language Acquisition Demonstrates Progress in Listening to and Understanding English Demonstrates Progress in Speaking English GOLD does not have the Approaches to Learning subdomain but there are individual items that fit the generally accepted definition of Approaches to Learning, as we will see from the results of the conceptual matching. 10 Language and literacy are separate subdomains on GOLD; however they were combined here to facilitate comparison. 6 Massachusetts EEC Common Metric Project Memorandum #1 Table 1. Common Metric Domains: Domain Recoding Scheme8 WSS (All Versions) Gold COR Cognitive and General Knowledge Common Metric Domain Mathematical Thinking Mathematical Processes Number and Operations Patterns, Relationships, Functions Geometry and Spatial Relations Measurement Scientific Thinking Inquiry/Scientific Skills and Method Conceptual Knowledge of the Natural/Physical World (HS only) Life Science (K only) Physical Science (K only) Earth Science (K only) Mathematics Uses Number Concepts and Operations Demonstrates Knowledge of Patterns Explores and Describes Spatial Relationships and Shapes Compares and Measures Science and Technology Uses Scientific Inquiry Skills Demonstrates Knowledge of the Characteristics of Living Things Demonstrates Knowledge of the Physical Properties of Objects and Materials Demonstrates Knowledge of Earth’s Environment Uses Tools and other Technology to Perform Tasks Logic and Reasoning (HS Only) Cognitive Reasoning and Problem Solving (HS Only) Symbolic Representation (HS Only) Social Studies Social Studies People, Past and Present People and Where they Live/Environment Self, Family and Community (HS Only) Demonstrates Knowledge About Self Shows Basic Understanding about People and How they Live Explores Change Related to Familiar People or Places Mathematics and Science Sorting Objects Counting Identifying Patterns Identifying Position and Direction Comparing Properties Identifying Sequence, Change, and Causality Identifying Natural and Living Things Identifying Materials and Properties No Similar Domain Demonstrates Positive Approaches to Learning Remembers and Connects Experiences Uses Classification Skills Uses Symbols and Images to Represent Something Not Present No Similar Domain 7 Massachusetts EEC Common Metric Project Memorandum #1 8 Table 1. Common Metric Domains: Domain Recoding Scheme8 WSS (All Versions) Gold Human Interdependence Citizenship and Government Demonstrates Simple Geographic Knowledge The Arts The Arts Expression and Representation (includes music, dance, art, drama) Understanding and Appreciation Explores the Visual Arts Explores Musical Concepts and Expression Explores Dance and Movement Concepts Explores Drama Through Actions and Language COR Creative Representation Making and Building Models Drawing and Painting Pictures Pretending Physical Development and Health Common Metric Domain Gross Motor Development Fine Motor Development Personal Health and Safety Demonstrates Gross Motor Manipulative Skills Demonstrates Fine Motor Strength Demonstrates Traveling Skills Demonstrates Balancing Skills Moving in Various Ways Moving with Objects Feeling and Expressing a Steady Beat Moving to Music Singing This table shows that, in general, the test developer’s domains across all three assessment tools are comparable, and as we can see from the items within each of these domains, there appears to be good coverage of similar items across all three tests. Further, when fitting the Test Developer Domains to the five key developmental domains there also appears to be reasonably good fit, with a few exceptions, such as the GOLD not having a subdomain corresponding to Approaches to Learning, as noted in Table 1. Minor inconsistencies were due primarily to assessments that combined domains, for example, language and literacy were treated as separate domains in GOLD, but were combined into one domain in COR. These analyses suggest that the three instruments appear to be aligned with regard to the developmental domains being assessed. Massachusetts EEC Common Metric Project Memorandum #1 9 B. Alignment of Items11 Using the same methods described above, individual items from each test were examined. The goal of this analysis was to determine the degree to which the items matched in their content. The criteria for determining a match was based on the item’s developmental objective, purpose and domain. Some items were determined to have the same developmental objective although they were worded differently, for example, “moves with some balance and control” from the WSS and “moving in various ways” from the COR were both coded as having the same objective (assessing gross motor skills) and domain (physical development and health). A match was defined as an item or objective that was included on all three instruments (COR, GOLD, and WSS).12 If an item or objective did not appear on all three instruments, it was not counted as a match. This is a very stringent requirement and thus serves as a conservative measure of the degree to which items likely correspond.13 There were a total of 407 items across the three assessment instruments (COR: n=34, GOLD: n=90), WSS: n=283): Of the total 407 items, 83 percent (n=339) matched across all the assessments instruments, while only 17 percent (n=68) were non-matches, including partial matches (i.e. matched on two of the three assessments). Of the 339 matching items, nearly 34 percent (n=115) were in cognitive domain, followed by 33 percent (n=111) language and literacy, 14 percent (n=48) physical development and health, 11 percent (n=28) social-emotional, and 8 percent (n=28) approaches to learning. Figure 1 presents the percentage of total matched items by domain: 11 The authors would like to acknowledge the contribution of Dr. Charles Bruner, Director of the Child and Family Policy Center, for his guidance in the alignment of relevant GOLD items within the approaches to learning domain. 12 While some differences exist between the five WSS instruments, particularly between the preschool and Head Start instruments, they will be treated as a single instrument for the purposes of simplifying the findings presented in this report. 13 It may be argued that if two of the three tests had similar items, then this could be sufficient to determine a match, but this was not applied here because the goal was to see how well all three tests matched in item content. Massachusetts EEC Common Metric Project Memorandum #1 10 When the five domains were examined individually, items matched across all three assessments in three of the five domains: physical health and development, language and literacy, and approaches to learning.14 In the remaining two domains, the majority of items matched across all three assessments: 71 percent of items in cognitive and general knowledge matched across all three assessments, followed by 65 percent in the social-emotional domain. Thus, complete item matches across all three assessments were found in three of the five domains, with 65 percent to 71 percent of items matching in the remaining two domains. See Appendix A in this memo for a more detailed table showing matches and non-matches by assessment instrument. Figure 2 presents a summary of the matching and non-matching items by domain for the 407 total items. In sum, these preliminary findings are suggestive of a moderate-to-high degree of alignment across the assessments items and support the plan to move forward with more in-depth analyses. The next two sections of this memorandum will outline two relevant data quality issues that will have implications for later data analyses, primarily those starting with Phase Two of the project. II. Exploring Distributions for Test Developer Domain Score Distributions All test developer domain scores were standardized and then transformed to T-Scores (i.e. mean of 50 and standard deviation of 10) to facilitate interpretation. T-scores show that, for a given subset of scores, children with a score of 50 was at the mean, whereas children with scores higher than 50 are rated higher in this developmental domain or sub-domain compared with their peers and children with scores less than 50 were rated lower in this developmental 14 These analyses incorporate the definition of approaches to learning presented earlier, based on the work of Paul McDermott. Based on this definition, the creative arts items were conceptually aligned to the cognitive and general knowledge domains. Massachusetts EEC Common Metric Project Memorandum #1 11 domain. T-scores were based on all children’s valid scores for a given developmental domain or sub-domain.15 Additionally, the T-scores were then grouped by quartiles, so that groups of children who were rated at the lowest quarter of the sample could be compared to children in the other groups, to determine whether the mean T-scores are significantly different. By comparing quartiles and age groups of children (three-, four- and five-year olds), we can determine whether there is an expected developmental progression in scores within and across developmental domains and sub-domain. Tables 2 through 5 display the descriptive statistics for each of the three assessments, showing average T-scores for each of the test developer’s domains. Since the WSS Head Start version has different domains from the WSS Preschool, they are displayed in different tables. Table 2. Work Sampling System Preschool (Ages 3, 4, 5) Descriptive Statistics by Domain I. Personal and Social Development3 II. Language and Literacy4 III. Mathematical Thinking5 IV. Scientific Thinking6 V. Social Studies7 VI. The Arts8 VII. Physical Development & Health9 Total Score10 N 1,653 M 50.0 SD 10.0 Med 48.7 Skewness1 -.102 1,155 829 1,032 800 901 930 50.0 50.0 50.0 50.0 50.0 50.0 10.0 10.0 10.0 10.0 10.0 10.0 48.2 45.3 45.4 46.3 47.5 46.8 -.089 .096 .174 .156 -.147 -.004 1,660 50.0 10.0 48.2 -.547 Normality Alpha .950 .952 .936 .936 .938 .929 .952 .930 Skewness close to 0.0 suggests a distribution that approaches normality. 2 Mean Cronbach’s alpha for P3, P4, and K 3Number of items: P3=13, P4=13, K=13; 4Number of items: P3=10, P4=12, K=12; 5Number of items: P3=7, P4=8, K=13; 6Number of items: P3=3, P4=3, K=7; 7Number of items: P3=5, P4=8, K=10; 8Number of items: P3=4, P4=4, K=4; 9Number of items: P3=7, P4=7, K=7; 10 Number of items: P3=49, P=55, K=66. 1 Table 3. Work Sampling System Head Start (Ages 3, 4) Descriptive Statistics by Domain I. Physical Development & Health3 II. Social and Emotional Development4 III. Approaches to Learning5 IV. Logic and Reasoning6 V. Language Development7 VI. Literacy Knowledge & Skills8 VII. Mathematics Knowledge & Skills9 VIII. Science Knowledge & Skills10 IX. Creative Arts 15 Skewness1 .026 N 1,148 M 50.0 SD 10.0 Med 44.3 Normality 1,148 50.0 10.0 46.6 -.027 1,149 1,142 798 1,145 50.0 50.0 50.0 50.0 10.0 10.0 10.0 10.0 48.1 51.1 51.8 51.0 -.021 .147 -.523 .141 1,145 50.0 10.0 49.4 .327 1,149 50.0 10.0 47.8 .270 1,146 50.0 10.0 46.2 .030 Alpha .950 .941 .935 .930 .903 .925 .940 .952 .929 T-scores were derived across all age groups of children, in order to determine whether the entire range of children’s abilities in a given domain is represented. Typically, standardized test scores are derived based on key age groups of children, to understand where a given child is located relative to the same age groups. However, in this early phase if the project we were more interested in looking at the underlying distribution across age groups in T-scores. Massachusetts EEC Common Metric Project Memorandum #1 12 Table 3. Work Sampling System Head Start (Ages 3, 4) Descriptive Statistics by Domain N Med Skewness1 M SD Normality 1,140 50.0 10.0 50.5 .217 1,151 50.0 10.0 48.5 .155 Alpha 11 Expression X. Social Studies Knowledge & Skills12 Total Score13 .940 .953 1 Skewness close to 0.0 suggests a distribution that approaches normality. 2 Mean Cronbach’s alpha for HS3 and HS4. 3Number of items: HS3=7, HS4=7; 4Number of items: HS3=9, HS4=9; 5Number of items: HS3=4, HS4=4; 6Number of items: HS3=2, HS4=3; 7Number of items: HS3=7, HS4=7; 8Number of items: HS3=6, HS4=7; 9Number of items: HS3=7, HS4=8; 10Number of items: HS3=2, HS4=2; 11Number of items: HS3=5, HS4=5; 12 Number of items: HS3=5, HS4=7; 13 Number of items: HS3=56, HS4=59. Table 4. Child Observation Record (COR) Descriptive Statistics by Domain D1. Initiative (4 items) D2. Social Relations (4 items) D3. Creative Representation (3 items) D4. Movement and Music (5 items) D5. Language and Literacy (8 items) D6. Mathematics and Science (8 items) Total Score (32 items) N 258 261 M 50.0 50.0 SD 10.0 10.0 Med 50.1 50.1 Skewness1 -.123 -.272 290 50.0 10.0 52.1 -.495 245 50.0 10.0 51.2 -.254 Normality Alpha .890 .895 .794 .881 244 50.0 10.0 50.1 -.165 249 50.0 10.0 51.7 -.251 328 50.0 10.0 51.4 -.349 .910 .947 .969 1 Skewness close to 0.0 suggests a distribution that approaches normality. Table 5. Teaching Strategies GOLD Descriptive Statistics by Domain Social-Emotional (9 items) Physical (5 items) Language (8 items) Cognitive (10 items) Literacy (12 items) Mathematics (7 items) Science and Technology (5 items) Social Studies (4 items) The Arts (4 items) English Language Acquisition (2 items) Total Score (66 items) 1Skewness N 13,979 14,148 13,774 13,296 10,617 11,751 9,257 9,514 11,068 2,554 14,764 M 50.0 50.0 50.0 50.0 50.0 50.0 50.0 SD 10.0 10.0 10.0 10.0 10.0 10.0 10.0 50.0 50.0 50.0 10.0 10.0 10.0 50.0 10.0 Med 50.0 51.9 50.7 49.9 49.1 50.2 Skewness1 -0.051 -0.376 -0.276 -0.004 0.608 0.229 45.1 44.5 44.3 1.808 1.565 1.374 49.4 49.3 -0.078 0.482 Normality Alpha .970 .963 .975 .980 .968 .966 .961 .951 .962 .981 .924 close to 0.0 suggests a distribution that approaches normality. The descriptive statistics display the number of valid cases for each domain, within each test. We can see that the number of valid cases varied by domain, particularly for the WSS Massachusetts EEC Common Metric Project Memorandum #1 13 Preschool versions. This is expected because even within the same instrument, the data are not without some missing items for each subdomain for a large number of children. As a result, subdomain scores were imputed if they only had a few items missing, described later in the “Missing Cases and Data Imputation” section. Thus, in all analyses of subdomain and total scores for each instrument, the sample sizes will vary for each subdomain within a given test, in order to maximize the available information. The tables also show central tendency and variation, and because T-scores were calculated, they will all have the same means and standard deviations. However, the extent to which the median is similar to the mean is suggestive of whether the scores are normally distributed, and this is further assessed by the measures of skewness. A check mark for normality indicates whether, based on skewness, that the distributions of the domain scores approximate the normal distribution. III. Internal Consistency Reliability of Test Developer Domain Scores Finally, Tables 2 through 5 display the total Alpha coefficients for each of the domains. For the WSS the Alpha’s are extremely high, and in a narrow range from a low of 0.93 to a high of 0.95. The internal consistencies of the COR domains were somewhat lower with a wider range, from a low of 0.79 (Creative Representation) to 0.95 (Mathematics and Science). However, it should be noted that many of the COR domains consisted of three or four items. With so few items, one would expect lower levels of reliability, whereas, for the WSS, most of the domains were comprised of 10-12 items (with some notable exceptions). Reliability for the domains on the Teaching Strategies GOLD assessment was also very high, ranging from 0.92 to 0.98. Overall, these analyses suggest that the items that were used to measure a given domain were highly consistent and suggest that they are all tapping the same underlying construct. The normality of the domain scores suggest that the items that make up the domains of each test appear to distinguish between differences in children’s true ability distribution on the relevant developmental area. If the tests are able to measure children at different levels of ability, then these ability distributions should be shaped as normal distributions, with many children within one standard deviation above and below the mean while many fewer children are placed at each of the tails of the distribution. We expect test scores to be normally distributed. If the distribution of scores is not normal, then the test may be too hard or too easy for the range of children, and may not properly identify children’s true level of development, making it difficult to determine a common metric. Thus, the descriptive statistics for the domain scores suggest that the scores are normally distributed. However, the assumption of normality may not be entirely correct. When viewing histograms shown in Figure 3, below for the Work Sampling System, it was apparent that large groups of children have the same T-scores and that there was a sizeable group of children with the highest T-score possible for the domain (shown by red circles). These distributions suggest Massachusetts EEC Common Metric Project Memorandum #1 14 that the tests may not measure correspond to the normal distribution curve, which is superimposed against the number of cases for each T-score as a point of reference. Further, the large number of children at the top end of the distribution suggests that many children may have “maxed out” the ratings, indicative of a “ceiling effect.” Instead of forming a relatively smooth and normally distributed curve suggestive of an ability distribution, we have some scores that occur at higher frequencies. This would reflect more a stepped rather than continuous curve of scores across the distribution and suggests that the tests may not be able to identify children at different levels of the ability spectrum for a given developmental domain. Figure 3. Distributions of Work Sampling System Domain Scores. Massachusetts EEC Common Metric Project Memorandum #1 The above histograms show potential violations of normality for the WSS assessment. Below in Figure 4, we see the distribution of domain scores on the GOLD assessment. 15 Massachusetts EEC Common Metric Project Memorandum #1 Figure 4. Distributions of GOLD Domain Scores. 16 Massachusetts EEC Common Metric Project Memorandum #1 17 The distributions of scores on the GOLD sub-domains suggest that many appear to meet the assumptions of normality. The sub-domains of Social-Emotional (9 items), Physical (5 items), Language (8 items), Cognitive (10 items), Literacy (12 items), Mathematics (7 items) and English Language Acquisition (2 items) show, for the most part a normal distribution. The distributions of some scores, for example, Literacy and Mathematics, are skewed to the left, suggesting that more children are rated at the lower end of scores I is also noteworthy that English Language Acquisition shows a relatively normal distribution despite comprising only two items. However, the relatively high, narrow amplitudes of the normal curves indicate that few children scored at the tails of the distribution in most of the GOLD domains. This suggests that the test may do a good job of discriminating between children’s abilities at the center of the distribution but that there may be insufficient items at either the low end or the high end of the distribution to properly test children with significantly lower or higher abilities. Further, the following sub-domains show almost no variation and the distributions do not appear to be normal: Science and Technology (5 items), Social Studies (4 items), and The Arts (4 items). On Massachusetts EEC Common Metric Project Memorandum #1 18 these items the large majority of children, upwards of 70 percent, were rated at the low end of the distribution. Also for these sub-domains, not a single high score corresponding to a rating of 3/3 was recorded for any child. On these sub-domains, children received raw scores of only 1 or 2. Thus, it would be difficult to consider these four domains as adequately distinguishing ability levels of children on these developmental areas (Science and Technology, Social Studies, and The Arts. The next set of histograms (Figure 5) displays the distributions of domain scores for the COR assessment. Massachusetts EEC Common Metric Project Memorandum #1 Figure 5. Distributions of COR Domain Scores. 19 Massachusetts EEC Common Metric Project Memorandum #1 20 In Figure 5, we see that many of the COR domains correspond approximately to a normal distribution, particularly Creative Representation (3 items), Language and Literacy (8 items), and Mathematics and Science (8 items). Several of these domains still display the higher amplitude whereby most children are clustered at the center of the distribution. For the remaining three domains - Initiative (4 items), Social Relations (4 items), and Movement and Music (5 items) – scores correspond to a normal distribution except for a high number of cases at the high end of the distribution, similar to what was found with the WSS domains. These two “tails” are highlighted by red circles. It is especially noteworthy for the Social Relations domain that the largest percentage of all children were rated at the two upper T-scores, suggesting that many children hit the “ceiling” in terms of their skills on this domain. The same effect, to a lesser extent, was found for the Initiative and Movement and Music domains. Overall, this suggests that the full range of children’s abilities may not be fully represented by these test domains and that we must be careful about potential violations of normality when moving forward with the factor analyses for the second phase of this project. V. Developmental Differences Test Developer Domains, by Ages and Quartiles An important characteristic of developmental assessments is their ability to distinguish between different age groups of children, and between different skill levels within each age group. In order for a criterion-referenced assessment to be properly scaled, we would expect that children of different ages score in a predictable manner, with an age-related progression in average scores. Younger children should score lower on a test than will older children (assuming the test is designed to cover these age groups). Further, if we split the scores for a given developmental domain into four distinct groups according to their T-scores, in which children are placed within quartiles based on the total or subdomain scores. The quartile groups are indicative of children with different levels of abilities; those in the lowest 25 percent of cases have lower levels of skills relative to their peers in the three upper quartiles, and children with scores in the highest 25 percent are rated as being more advanced on the underlying developmental domain compared to their peers. Statistically significant differences by age group for a given subdomain within each instrument should show a linear progression, in order to distinguish maturational differences. Statistically significant cohort differences for a given subdomain identify children within age groups at different skill levels. To show that a test does a good job of distinguishing maturation (age) differences as well as skill level (quartile) differences, we would expect there to be main effects of age and quartile in the T-scores, but that there should not be significant interaction effects. That is, an interaction between age group and quartile would suggest that the younger or older children do not hold their positions across skill levels, in which younger children should be more likely represented within the lower quartiles of scores whereas older children should be represented within the higher quartiles of scores. Older children should show age-related changes compared to younger children because, as skills develop and become more highly Massachusetts EEC Common Metric Project Memorandum #1 21 integrated, children at higher skill levels show greater growth and development, compared with younger children. In order to explore age and quartile differences, a series of two-way ANOVAs were conducted with age and quartile group as the two independent variables and T-scores for each subdomain, for each instrument, were the dependent variables. The results of these analyses are summarized briefly here, with supporting tables and figures available in Appendix B. Table 6 summarizes the results of the two-way ANOVAs for the Work Sampling System, Preschool and Head Start versions. For the Preschool Version, only two subdomains revealed significant main effects of age; Language and Literacy and Social Studies. For these two subdomains, as would be expected, T-scores for the three year olds were significantly lower than scores for four year olds, which were, in turn, lower than scores for five year olds. However, for the total WSS score as well as five of the other domains – Personal and Social Development, Mathematical Thinking, Scientific Thinking, The Arts, and Physical Development and Health, no significant main effect was found for age. Thus, scores for the subdomains and the total score for the WSS do not consistently show the expected differences in maturation. The WSS-Preschool instrument did reveal the expected significant quartile differences for all of the subdomain and total scores, suggesting that subgrouping of scores correspond to meaningful differences in ability levels. Massachusetts EEC Common Metric Project Memorandum #1 22 Table 6. Summary of Age and Quartile Differences, Work Sampling System Total and Subdomain Scores. Age Quartile Age X Differences Differences Quartile Assessment and Domains Work Sampling System Preschool Version ns Q1 < Q2 < Q3 < Q4 ns WSS Language and Literacy 3<4<5 Q1 < Q2 < Q3 < Q4 ns WSS-Mathematical Thinking ns Q1 < Q2 < Q3 < Q4 p<.05 WSS-Scientific Thinking ns Q1 < Q2 < Q3 < Q4 p<.05 3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 WSS-The Arts ns Q1 < Q2 < Q3 < Q4 ns WSS-Physical Development and Health ns Q1 < Q2 < Q3 < Q4 p<.05 WSS-Total Score Work Sampling System Head Start Version16 ns Q1 < Q2 < Q3 < Q4 ns WSSHS Physical Development and Health 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSSHS Social and Emotional Development 3<4 Q1 < Q2 < Q3 < Q4 ns ns Q1 < Q2 < Q3 < Q4 ns WSSHS Logic and Reasoning 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSSHS Language Development 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSSHS Literacy Knowledge and Skills 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSSHS Mathematics Knowledge and Skills 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSSHS Science Knowledge and Skills ns Q1 < Q2 < Q3 < Q4 ns WSSHS Creative Arts Expression WSSHS Social Studies Knowledge and Skills 3<4 Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 ns WSSHS Total Score 3<4 Q1 < Q2 < Q3 < Q4 p<.05 WSS-Personal and Social Development WSS-Social Studies WSSHS Approaches to Learning However, there was also a number of significant age by quartile interaction effects. Through post-hoc comparisons of group means, these interaction effects indicate that the age groups do not always maintain the developmental progression across all ability groups (cohort). Ideally, we would not expect to find interaction effects, so that age groups are parallel across quartiles, with little intersection. Figure 6 illustrates these differences (additional figures are displayed in Appendix B). 16 There were no data for five-year olds. Thus, the comparisons were between the three- and four-year olds. Massachusetts EEC Common Metric Project Memorandum #1 23 Figure 6. WSS-Preschool Social Studies Subdomain, Age by Quartile Effects Average T-Score 65 55 45 Three-Year Olds Four-Year Olds Five-Year Olds 35 25 Q1 Q2 Q3 Q4 Quartile As we can see in Figure 6, three-year old children who were in the lowest quartile (Q1), had lower scores compared to four year olds, but five year olds in the lowest quartile also had scores similar to three-year olds. We would expect the five year olds to have higher scores even at the lowest ability levels. As we move from the first to the second quartile, we find that the five year olds have scores similar to the four-year olds and the three year olds in Q2 have the lowest scores. But at the third quartile, the five years show significantly higher scores while the threeand four-year olds have similar scores. But at the highest quartile, the five year old no longer hold this advantage over the other children and in fact show significantly lower scores compared to the three- and four-year olds. Thus, there seems little correspondence between ability levels as represented by the quartiles and children of different ages. As noted earlier and shown in Table 6, there were significant interaction effects for other sub-domains of the WSS-Preschool. Regarding scores on the Work Sampling System Head Start Version, there were significant age group differences on almost all subdomains, with the exception of Approaches to Learning and Science Knowledge and Skills. These differences were in the expected direction with the four-year olds showing higher T-scores compared with three-year olds. There were also significant quartile differences in the expected direction, but there were also a number of significant age by quartile interaction effects, suggesting that the scores do not align according age and skill level differences in the expected direction (Appendix B shows tables with the means as well as figures for the interaction effects). The interaction effects for the total WSSHead Start score show the general pattern in these results (Figure 7). Whereas three-year olds scored lower than four-year olds, as expected, at the bottom quartile (Q1) by the second quartile (Q2) the gap in scores between three- and four-year olds narrowed so that they were not significantly different. At the highest ability level (Q4) there were also non-significant differences, suggesting that the test does not distinguish between children at different developmental periods. Massachusetts EEC Common Metric Project Memorandum #1 24 Figure 7. WSS-Head Start Total Score, Age by Quartile Effects 65.0 Average T-Score 55.0 45.0 Three-Year Olds Four-Year Olds 35.0 25.0 Q1 Q2 Q3 Q4 Quartile Table 7 shows the results of the two-way ANOVAs for the Child Observation Record. For this instrument, data were available only for three and four year olds. Table 7. Summary of Age and Quartile Differences for Child Observation Record (COR) Total and Subdomain Scores. Age Quartile Assessment and Domains AgeXQuartile Differences Differences 3<4 Q1 < Q2 < Q3 < Q4 ns ns Q1 < Q2 < Q3 < Q4 ns COR Creative Representation 3<4 Q1 < Q2 < Q3 < Q4 ns COR Movement and Music 3<4 Q1 < Q2 < Q3 < Q4 p<.05 COR Language and Literacy ns Q1 < Q2 < Q3 < Q4 ns COR Mathematics and Science 3<4 Q1 < Q2 < Q3 < Q4 ns COR Total Score 3<4 Q1 < Q2 < Q3 < Q4 p<.05 COR Initiative COR Social Relations As we can see in Table 7, there were significant age and cohort differences for many of the subdomain scores as well as the total score, although there were no differences between three- and four-year olds for the subdomains of Social Relations and Language and Literacy. However, there were relatively few interaction effects, with the exception of the Movement and Music subdomain and the COR total score. Figure 8 illustrates the interaction effects in the COR. Massachusetts EEC Common Metric Project Memorandum #1 25 Figure 8. Child Observation Record (COR) Total Score, Age by Quartile Effects Average T-Score 65.0 55.0 45.0 Three-Year Olds 35.0 Four-Year Olds 25.0 Q1 Q2 Q3 Q4 Quartile COR total scores were lowest for three-year olds, compared to four-year olds, at the lowest quartile, as expected, and these differences narrowed in the two middle quartiles, and, at the highest quartile, the initial differences between three- and four-year olds were evident but were much smaller than those among children at the lowest quartile. These interaction effects suggest that, at the middle ability levels, there are no significant differences between the threeand four-year olds. Overall, the COR total score appears to do a better job of distinguishing age differences among those only at the lowest skill levels. Table 8 summarizes the results of the two-way analyses for the Teaching Strategies’ GOLD total and domain scores.17 As we can see, there were significant main effects of age for all subdomain scores, although for the Physical domain the one-year olds had lower scores than the two- and three-year olds, who were not significantly different from each other. These two age groups (2-3 year olds) were significantly different from the four- and five-year olds, who were also not significantly different from each other. For all domains, there were significant quartile differences as expected, but there were also significant age by quartile group interaction effects. These interaction effects are illustrated in Figure 9. 17 Four domains (English Acquisition, Science and Technology, Social Studies, and the Arts were excluded from these analyses due to small cell sizes and the previously discussed issues related to normality and variability. Massachusetts EEC Common Metric Project Memorandum #1 26 Table 8. Summary of Age and Quartile Differences, Teaching Strategies GOLD Total and Subdomain Scores. Assessment and Domains Age Differences Quartile Differences Age X Quartile Social Emotional 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Physical 1<2,3<4,5 Q1 < Q2 < Q3 < Q4 p<.05 Language 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Cognitive 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Literacy 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Mathematics 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Figure 9. Teaching Strategies GOLD Literacy Domain Score, Age by Quartile Effects Average T-Score 60.0 50.0 One-Year Olds Two-Year Olds Three-Year Olds Four-Year Olds Five-Year Olds 40.0 30.0 Q1 Q2 Quartile Q3 Q4 In Figure 9, the one-year olds in the lowest quartile were rated lower than the other children, as expected, although the differences between the children in the other age groups was not significant for children scoring in the lowest quartile. At the two middle quartiles, the age differences are not significant although the one-year olds actually had higher scores than their older peers at these ability levels. At the highest quartile (Q4), the one-year olds were significantly lower than the other ages, although the order of scores did not follow the expected developmental trend by age. While the four- and five-year olds in the highest quartile had significantly higher scores than the other age groups, the three-year old scores were lower than the two-year old scores. Thus, while some age differences within quartiles corresponded to expected differences, the scores on the Literacy domain do not show a consistent trend across the Massachusetts EEC Common Metric Project Memorandum #1 27 quartiles and, in the two middle quartiles, the five age groups are not highly distinguishable. These interaction effects suggest that the GOLD scores in general do not correspond to significant differences in age and ability levels. VI. Data Quality and Missing Data Question: Is the Quality of the Data Provided Sufficient for the Planned Analyses? A. Data Collection Time Points According to the publisher guidelines, each of the three assessments should include at least three periods of data collection to assess child progress. In the data files supplied by MA EEC, the data entry time points associated with these periods are labeled as follows: P1 (Summer 2011/2012), P2 (Fall 2012/2013), P3 (Winter 2012/2013), and P4 (Spring 2012/2013). Based on the files provided in November of 2012, only the P1 time point (Summer 2011-2012) contained data from all three instruments. Of the three assessment data files, only the GOLD file contained data for all three time points. (Note: the GOLD P3 data file was truncated and included scores for the social emotional domain only). Table 9 summarizes the data time points represented by the data files provided in November, 2012. Table 9. Common Metric Data by Time Point for Data files sent January, 2012a Instrument Spring 2011-2012 Summer 20112012 (P1) Fall 2012-2013 (P2) Winter 20122013 (P3) COR No Data Yes No Data No Data GOLD Yes Yes Yes No Data No Data Yes No Data No Data WSS a. Includes all age groups. In order to assess developmental change over time, we will need data from more than one time point and ideally for three time points (according to the test publishers) for each of the assessments. Further, when examining data from additional time points, it would be necessary to make sure that the assessment periods are consistent and do not overlap. For example, the data collection time periods and data entry deadlines for the fall and winter should be identified as distinct time periods. Nevertheless, the current dataset suggests that it would be impossible to measure change over time given the lack of additional data points. B. Missing Data In general, decisions about how to deal with missing data must take into account the amount of missing data, the type of missing data, and the reasons for the missing data. In Massachusetts EEC Common Metric Project Memorandum #1 28 examining the data files for the three assessments, there were many cases where only a few items were missing, probably due to random errors completing all the ratings and inputting the data into the online database. It was determined that these “missing at random” cases can be “recoverable.” The approach we used was a simple one: a) Assess each subdomain of an instrument separately for cases with missing items and then b) Apply a set of rules for determining the maximum of missing items given the number of possible items and prorate the subdomain score based on the number of valid items. For subdomains with three to six items, cases were assigned subdomain scores based on the number of valid items if no more than 1 item was missing. For subdomains with seven to fourteen items, cases were assigned valid subdomain scores if no more than 2 items were missing; and for subdomains with more than 15 items, cases were assigned subdomain scores if no more than 3 items were missing. For cases that met these criteria for each subdomain of a test, scores were derived based on the prorated raw scores from the valid items for a given subdomain. The argument for including up to three items with missing scores (for subdomains with more than 15 items) as part of a complete dataset was based on the likelihood that this minimal number of missing items can allow a valid score to be estimated from the remaining data without greatly affecting the subdomain average scores. This also assumes that the scores were missing at random and were not missing due to systematic reasons. The percentages of cases for each instrument that were imputed varied from 0.2 percent for the WSS Head Start instrument, to 3.5 percent for the COR, 3.8 percent for the WSS Preschool instrument, and 7 percent for Teaching Strategies GOLD.18 Even with this relatively modest imputation method, there were substantial numbers of missing cases for each instrument. Table 10 summarizes the number of valid and missing data by domain for each of the three assessments after the above imputation occurred. For all of the tests with the exception of the WSS-HS, overall there is a very high percentage of missing data across all domains. By way of comparison, across the three instruments, MA EEC provided NYU with an earlier data set comprising a total of 9,582 cases from the fall and winter of 2011-12. Upon initial examination of the data, NYU reported that 35 percent of fall cases and 29 percent of winter cases were immediately removed from further analysis because they contained only child demographic information, but no assessment or score data. The amount of missing data in the current dataset is similar to this level with a higher percentage of missing cases notably for the Teaching Strategies GOLD instrument and slightly lower levels for the other instruments. 18 These percentages were calculated as the harmonic means for the average percentage of imputed scores for all subdomain scores within an instrument, because valid and missing cases were not independent for subdomains. That is, a given case could have missing items in more than subdomain score and thus the average percentage imputed had to take into account the “weight” of missing cases for each subdomain. Massachusetts EEC Common Metric Project Memorandum #1 Table 10. Valid and Missing Cases by Assessment and Domain Valid N Missing N Total N Percent Missing 1,155 829 1,032 800 901 564 1,062 1,388 1,185 1,417 2,217 2,217 2,217 2,217 2,217 25.4% 47.9% 62.6% 53.5% 63.9% VI. The Arts VII. Physical Development & Health Total Score Work Sampling System Head Start (WSS) I. Physical Development & Health II. Social and Emotional Development III. Approaches to Learning IV. Logic and Reasoning 930 1,660 1,155 1,316 1,287 557 2,217 2,217 2,217 59.4% 58.1% 25.1% 1,148 1,148 1,149 1,142 6 6 5 12 1,154 1,154 1,154 1,154 0.5% 0.5% 0.4% 1.0% V. Language Development VI. Literacy Knowledge & Skills VII. Mathematics Knowledge & Skills VIII. Science Knowledge & Skills IX. Creative Arts Expression X. Social Studies Knowledge & Skills 798 1,145 1,145 1,149 1,146 1,140 356 9 9 5 8 14 1,154 1,154 1,154 1,154 1,154 1,154 30.8% 0.8% 0.8% 0.4% 0.7% 1.2% Total Score Teaching Strategies GOLD Social-Emotional Physical Language Cognitive Literacy Mathematics 1,151 3 1,154 0.3% 13,979 14,148 13,774 13,296 10,617 11,751 13,603 13,434 13,808 14,286 16,965 15,831 27,582 27,582 27,582 27,582 27,582 27,582 49.3% 48.7% 50.1% 51.8% 61.5% 57.4% Science and Technology Social Studies The Arts English Language Acquisition Total Score Child Observation Record (COR) D1. Initiative D2. Social Relations 9,257 9,514 11,068 2,554 14,764 18,325 18,068 16,514 25,028 12,818 27,582 27,582 27,582 27,582 27,582 66.4% 65.5% 59.9% 90.7% 46.5% 258 261 197 194 455 455 43.3% 42.6% D3. Creative Representation D4. Movement and Music D5. Language and Literacy D6. Mathematics and Science Total Score 290 245 244 249 328 165 210 211 206 127 455 455 455 455 455 36.3% 46.2% 46.4% 45.3% 27.9% Work Sampling System Preschool (WSS) I. Personal and Social Development II. Language and Literacy III. Mathematical Thinking IV. Scientific Thinking V. Social Studies 29 Massachusetts EEC Common Metric Project Memorandum #1 30 The high number of missing data for the GOLD may be due to the participation of the Boston school district in which they only completed the Social-Emotional Domain items. Still, this would not explain the almost 50 percent of cases missing from just this single domain. It also should be noted that the NYU analyses did not look at missing data at the same level of detail that we did (by sub-domain and using the same missing data criteria). The lack of complete data makes it difficult to determine whether the three assessment instruments can yield a common metric, in a number of ways. First, with a reduced number of cases, we cannot be sure that the full continuum of children’s abilities in a given domain is properly represented. That is, some subgroups of the population may not be represented in the data, especially those subgroups where children are at the lower or upper end of the ability distribution. As well, the potential violations of normality that we found may be due at least in part to the reduced number of valid cases, suggesting that if/when the missing data are “filled in” we might indeed find more of a normal distribution of scores. Finally, even though the number of valid cases appears large enough to override concerns about missing data, the analyses become more unstable the more that the sample is broken into different age groups and ability/skill levels. This is especially true for the two-way ANOVAs where some of the cell sizes are relatively small. It is possible that some of these analyses did not reach levels of statistical significance due to relatively low statistical power. There are two recommendations that we can make based on this level of missing data, which far exceeds the convention for the amount of missing data “allowed” to continue the sophisticated analyses we have planned in the next phases of this project. First, the factor analytic analyses should be considered preliminary due to the amount of missing data, and we are concerned we may not have enough cases to properly explore some subgroups of the population. A second suggestion is that it would be useful to discuss these missing data issues and potential strategies for improving the quality of future assessment data. Massachusetts EEC Common Metric Progress Memorandum APPENDIX A 31 Massachusetts EEC Common Metric Progress Memorandum REVISED Appendix Table A-1. Matches by Instrument and Common Metric Domain (N=407) Match Non-Match Total Items n % n % 10 14 4 3 3 34 10 14 4 3 3 34 100.0 100.0 100.0 100.0 100.0 100.0 0 0 0 0 0 0 0.0 0.0 0.0 0.0 0.0 0.0 42 25 8 10 5 90 42 19 8 10 5 84 100.0 76.0 100.0 100.0 100.0 93.3 0 6 0 0 0 6 0.0 24.0 0.0 0.0 0.0 6.7 10 19 9 7 4 49 10 14 5 7 4 40 100.0 73.7 55.6 100.0 100.0 81.6 0 5 4 0 0 9 0.0 26.3 44.4 0.0 0.0 18.4 12 23 9 7 4 55 12 15 5 7 4 43 100.0 65.2 55.6 100.0 100.0 78.2 0 8 4 0 0 12 0.0 34.8 44.4 0.0 0.0 21.8 12 22 9 7 4 54 12 17 5 7 4 45 100.0 77.3 55.6 100.0 100.0 83.3 0 5 4 0 0 9 0.0 22.7 44.4 0.0 0.0 16.7 13 26 9 7 4 59 13 18 5 7 4 47 100.0 69.2 55.6 100.0 100.0 71.2 0 8 4 0 0 12 0.0 30.8 44.4 0.0 0.0 20.3 12 34 12 18 100.0 52.9 0 16 0.0 47.1 COR Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total GOLD Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total WSS-P3 Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total WSS-P4 Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total WSS-HS3 Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total WSS-HS4 Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total WSS-K Language/Literacy Cognitive 32 Massachusetts EEC Common Metric Progress Memorandum Match Social Emotional Physical/Health Approaches to Learning Total Total Language/Literacy Cognitive Social Emotional Physical/Health Approaches to Learning Total Total Items n 9 7 4 66 111 163 57 48 28 407 Non-Match 5 7 4 46 % 55.6 100.0 100.0 69.7 n 4 0 0 20 % 44.4 0.0 0.0 30.3 111 115 37 48 28 339 100.0 70.6 64.9 100.0 100.0 83.3 0 48 20 0 0 68 0.0 29.4 35.1 0.0 0.0 16.7 33 Massachusetts EEC Common Metric Progress Memorandum REVISED Appendix Table A-2. Item Matches Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain 1 COR Language and Literacy Language and Literacy Q Listening to and understanding speech. 1 COR English Language Learners Language and Literacy HH Listening and understanding (ELL). 1 GOLD Language Language and Literacy 8a Comprehends Language. 1 GOLD Language Language and Literacy 8b Follows directions. 1 GOLD English Language Learners Language and Literacy 37 Demonstrates progress in listening to and understanding English (ELL). 1 GOLD Language/English Language Learners Language and Literacy S8a Comprehends Language (ELL). 1 GOLD Language/English Language Learners Language and Literacy S8b Follows directions (ELL). 1 WSS-P3 Language and Literacy Language and Literacy II-A2 Follows two-step directions. 1 WSS-P3 Language and Literacy Language and Literacy II-A1 Gains meaning by listening. 1 WSS-P4 Language and Literacy Language and Literacy II-A2 Follows two or three-step directions. 1 WSS-P4 Language and Literacy Language and Literacy II-A1 Gains meaning by listening. Language Development Language and Literacy V-A2 Follows two-step directions. Language Development Language and Literacy V-A1 Gains meaning by listening. English Language Learners Language and Literacy V-A3 For non-English speaking children, comprehends or understands the English language (ELL). Language Development Language and Literacy V-A2 Follows two- or three-step directions. Language Development Language and Literacy V-A1 Gains meaning by listening. Language/English Language Learners Language and Literacy V-A3 For non-English speaking children, comprehends or understands the English language (ELL). 1 1 1 1 1 1 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 Item ID Item 1 WSS-K Language and Literacy Language and Literacy II-A2 Follows directions that involve a series of actions. 1 WSS-K Language and Literacy Language and Literacy II-A1 Gains meaning by listening. 34 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain 2 COR Language and Literacy Language and Literacy R Using vocabulary. 2 GOLD Language and Literacy Language and Literacy 9a Uses and expanding expressive vocabulary. 2 GOLD Language/English Language Learners Language and Literacy S9a Uses an expanding expressive vocabulary (ELL). 2 WSS-P3 Language and Literacy Language and Literacy II-B2 2 WSS-P4 Language and Literacy Language and Literacy II-B2 Language Development Language and Literacy V-B2 Language Development Language and Literacy V-B2 2 2 WSSHS3 WSSHS4 Item ID Item Uses expanded vocabulary and language for a variety of purposes. Uses expanded vocabulary and language for a variety of purposes. Uses expanded vocabulary and language for a variety of purposes. Uses expanded vocabulary and language for a variety of purposes. Uses expanded vocabulary and language for a variety of purposes. 2 WSS-K Language and Literacy Language and Literacy II-B2 3 COR Language and Literacy Language and Literacy S Using complex patterns of speech. 3 COR Language/English Language Learners Language and Literacy GG Speaking and communicating (ELL). 3 GOLD Language Language and Literacy 9b Speaks clearly. 3 GOLD Language Language and Literacy 9c Uses conventional grammar. 3 GOLD Language Language and Literacy 9d Tells about another time or place. 3 GOLD Language Language and Literacy 10a Engages in conversations. 3 GOLD Language Language and Literacy 10b Uses social rules of language. 3 GOLD Language/English Language Learners Language and Literacy 38 Demonstrates progress in speaking English (ELL). 3 GOLD Language/English Language Learners Language and Literacy S9b Speaks clearly (ELL). 3 GOLD Language/English Language Learners Language and Literacy S9c Uses conventional grammar (ELL). 3 GOLD Language/English Language Learners Language and Literacy S9d Tells about another time or place (ELL). 3 GOLD Language/English Language Learners Language and Literacy S10a Engages in conversations (ELL). 35 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain 3 GOLD Language/English Language Learners Language and Literacy S10b 3 WSS-P3 Language and Literacy Language and Literacy II-B1 3 WSS-P3 Language and Literacy Language and Literacy II-B2 3 WSS-P4 Language and Literacy Language and Literacy II-B2 3 WSS-P4 Language and Literacy Language and Literacy II-B1 Language Development Language and Literacy V-B1 Language Development Language and Literacy V-B2 Language/English Language Learners Language and Literacy V-B3 Language Development Language and Literacy V-B1 Language Development Language and Literacy V-B2 Language/English Language Learners Language and Literacy V-B3 3 3 3 3 3 3 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 Item ID Item Uses social rules of language (ELL). Speaks clearly enough to be understood by most listeners. Uses expanded vocabulary and language for a variety of purposes. Uses expanded vocabulary and language for a variety of purposes. Speaks clearly enough to be understood without contextual clues. Speaks clearly enough to be understood by most listeners. Uses expanded vocabulary and language for a variety of purposes. For non-English speaking children, speaks or uses English (ELL). Speaks clearly enough to be understood without contextual clues. Uses expanded vocabulary and language for a variety of purposes. For non-English speaking children, speaks or uses English (ELL). 3 WSS-K Language and Literacy Language and Literacy II-B1 Speaks clearly and conveys ideas effectively. 3 WSS-K Language and Literacy Language and Literacy II-B2 Uses expanded vocabulary and language for a variety of purposes. 4 COR Language and Literacy Language and Literacy T 4 GOLD Language and Literacy Language and Literacy 15c Notices and discriminates smaller and smaller units of sound. 4 GOLD Literacy Language and Literacy 15a Notices and discriminates rhyme. 4 GOLD Literacy Language and Literacy 15b Notices and discriminates alliteration. 4 GOLD Literacy/English Language Learners Language and Literacy S15c Notices and discriminates smaller and smaller units of sound (ELL). 4 GOLD Literacy/English Language Learners Language and Literacy S15a Notices and discriminates rhyme (ELL). 4 GOLD Literacy/English Language Learners Language and Literacy S15b Notices and discriminates alliteration (ELL). Showing awareness of sounds in word. 36 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain Item ID Item 4 WSS-P3 Language and Literacy Language and Literacy II-A3 Shows beginning phonological awareness. 4 WSS-P4 Language and Literacy Language and Literacy II-A3 Demonstrates phonological awareness. Literacy Knowledge and Skills Language and Literacy VI-B1 Shows beginning phonological awareness. Literacy Knowledge and Skills Language and Literacy VI-B1 Demonstrates phonological awareness. 4 4 WSSHS3 WSSHS4 4 WSS-K Language and Literacy Language and Literacy II-A3 Demonstrates phonological awareness. 5 COR Language and Literacy Language and Literacy U Demonstrating knowledge about books. 5 GOLD Literacy Language and Literacy 17a Uses and appreciates books. 5 GOLD Literacy Language and Literacy 17b Uses print concepts. 5 GOLD Literacy/English Language Learners Language and Literacy S17a Uses and appreciates books (ELL). 5 GOLD Literacy/English Language Learners Language and Literacy S17b Uses print concepts (ELL). 5 GOLD Literacy Language and Literacy 18a Interacts during read-alouds and book conversations 5 GOLD Literacy/English Language Learners Language and Literacy S18a Interacts during read-alouds and book conversations (ELL). 5 WSS-P3 Literacy Language and Literacy II-C3 Comprehends and responds to stories read aloud. 5 WSS-P3 Language and Literacy Language and Literacy II-C1 Shows appreciation for books. 5 WSS-P4 Language and Literacy Language and Literacy II-C4 Comprehends and responds to stories read aloud. 5 WSS-P4 Language and Literacy Language and Literacy II-C1 Shows appreciation for books and reading. 5 WSS-P4 Language and Literacy Language and Literacy II-C2 Shows beginning understanding of concepts about print. Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books. Literacy Knowledge and Skills Language and Literacy VI-A2 Comprehends and responds to stories read aloud. Literacy/English Language Learners Language and Literacy V-C1 5 5 5 WSSHS3 WSSHS3 WSSHS3 For non-English speaking children, understands and responds to books, storytelling, and songs presented in English (ELL). 37 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 5 5 5 5 Tool WSSHS4 WSSHS4 WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books and reading. Literacy Knowledge and Skills Language and Literacy VI-A2 Comprehends and responds to stories read aloud. Literacy Knowledge and Skills Language and Literacy VI-D1 Shows beginning understanding of concepts about print. Literacy/English Language Learners Language and Literacy V-C1 For non-English speaking children, understands and responds to books, storytelling, and songs presented in Shows Englishinterest (ELL). in and knowledge about books and reading. 5 WSS-K Language and Literacy Language and Literacy II-C1 5 WSS-K Language and Literacy Language and Literacy II-C2 6 COR Language and Literacy Language and Literacy V 6 GOLD Literacy Language and Literacy 16b Uses letter-sound knowledge. 6 GOLD Literacy Language and Literacy 16a Identifies and names letters. 6 GOLD Literacy/English Language Learners Language and Literacy S16b Uses letter-sound knowledge (ELL). 6 GOLD Literacy/English Language Learners Language and Literacy S16a Identifies and names letters (ELL). 6 WSS-P3 Language and Literacy Language and Literacy II-C2 Shows interest in letters and words. 6 WSS-P4 Language and Literacy Language and Literacy II-C3 Begins to develop knowledge about letters. Literacy Knowledge and Skills Language and Literacy VI-C1 Shows interest in letters and words. Literacy Knowledge and Skills Language and Literacy VI-C1 Begins to develop knowledge about letters. Knows letters, sounds, and how they form words. 6 6 WSSHS3 WSSHS4 Shows some understanding of concepts about print. Using letter names and sounds. 6 WSS-K Language and Literacy Language and Literacy II-C3 7 COR Language and Literacy Language and Literacy W 7 GOLD Literacy Language and Literacy 18b Uses emergent reading skills. 7 GOLD Literacy/English Language Learners Language and Literacy S18b Uses emergent reading skills (ELL). 7 WSS-P3 Language and Literacy Language and Literacy II-C1 Shows appreciation for books. Reading. 38 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 7 7 7 Tool WSS-P4 WSSHS3 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Language and Literacy Language and Literacy II-C1 Shows appreciation for books and reading. Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books. Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books and reading. Shows interest in and knowledge about books and reading. 7 WSS-K Language and Literacy Language and Literacy II-C1 8 COR Language and Literacy Language and Literacy X 8 GOLD Literacy Language and Literacy 19b Writes to convey meaning. 8 GOLD Literacy Language and Literacy 19a Writes name. 8 GOLD Literacy/English Language Learners Language and Literacy S19b Writes to convey meaning (ELL). 8 GOLD Literacy/English Language Learners Language and Literacy S19a Writes name (ELL). 8 WSS-P3 Language and Literacy Language and Literacy II-D2 Uses scribbles and unconventional shapes to write. 8 WSS-P4 Language and Literacy Language and Literacy II-D2 Uses letter-like shapes, symbols, and letters to convey meaning. 8 WSS-P4 Language and Literacy Language and Literacy II-D3 Understands purposes for writing. Literacy Knowledge and Skills Language and Literacy VI-D1 Uses scribbles and unconventional shapes to write. Literacy Knowledge and Skills Language and Literacy VI-E1 8 8 WSSHS3 WSSHS4 Writing. Uses letter-like shapes, symbols, and letters to convey meaning Uses letter-like shapes, symbols, and letters to convey meaning. 8 WSS-K Language and Literacy Language and Literacy II-D2 8 WSS-K Language and Literacy Language and Literacy II-D3 Understands purposes for writing. 9 GOLD Comprehends and responds to books and other texts Language and Literacy 18c Retells stories. 9 GOLD Literacy/English Language Learners Language and Literacy S18c Retells stories (ELL). 9 COR Language and Literacy Language and Literacy U 9 WSS-P3 Language and Literacy Language and Literacy II-C3 Demonstrating knowledge about books. Comprehends and responds to stories read aloud. 39 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain Item ID Item 9 WSS-P3 Language and Literacy Language and Literacy II-C1 Shows appreciation for books. 9 WSS-P4 Language and Literacy Language and Literacy II-C4 Comprehends and responds to stories read aloud. 9 WSS-P4 Language and Literacy Language and Literacy II-C1 Shows appreciation for books and reading. Literacy Knowledge and Skills Language and Literacy VI-A2 Comprehends and responds to stories read aloud. Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books. Literacy Knowledge and Skills Language and Literacy VI-A1 Shows appreciation for books and reading. Literacy Knowledge and Skills Language and Literacy VI-A2 Comprehends and responds to stories read aloud. 9 9 9 9 WSSHS3 WSSHS3 WSSHS4 WSSHS4 Shows interest in and knowledge about books and reading. Comprehends and responds to fiction and nonfiction text. 9 WSS-K Language and Literacy Language and Literacy II-C1 9 WSS-K Language and Literacy Language and Literacy II-C4 10 COR Science and Mathematics Cognitive and General Knowledge Y Sorting objects. 10 GOLD Cognitive Cognitive and General Knowledge 13 Uses classification skills. 10 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-C1 Sorts objects into subgroups that vary by one attribute. 10 WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-C1 Sorts objects into subgroups that vary by one or two attributes. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-D1 Sorts objects into subgroups that vary by one attribute. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-D1 Mathematical Thinking Cognitive and General Knowledge III-C1 10 10 WSSHS3 WSSHS4 Sorts objects into subgroups that vary by one or two attributes. Sorts objects into subgroups classifying and comparing according to a rule. 10 WSS-K 11 COR Science and Mathematics Cognitive and General Knowledge Z Identifying patterns. 11 GOLD Mathematics Cognitive and General Knowledge 23 Demonstrates knowledge of patterns. 11 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-C1 Sorts objects into subgroups that vary by one attribute. 11 WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-C1 Sorts objects into subgroups that vary by one or two attributes. 40 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 11 11 11 11 Tool WSS-P4 WSSHS3 WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Mathematical Thinking Cognitive and General Knowledge III-C2 Recognizes simple patterns and duplicates them. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-D1 Sorts objects into subgroups that vary by one attribute. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-D1 Sorts objects into subgroups that vary by one or two attributes. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-D2 Recognizes simple patters and duplicates them 11 WSS-K Mathematical Thinking Cognitive and General Knowledge III-C2 Recognizes, duplicates, and extends patterns. 11 WSS-K Mathematical Thinking Cognitive and General Knowledge III-C1 Sorts objects into subgroups classifying and comparing according to a rule. 12 COR Science and Mathematics Cognitive and General Knowledge BB Counting. 12 GOLD Mathematics Cognitive and General Knowledge 20a Counts. 12 GOLD Mathematics Cognitive and General Knowledge 20b Quantifies. 12 GOLD Mathematics Cognitive and General Knowledge 20c Connects numerals with their quantities. 12 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-B1 Shows curiosity and interest in counting and numbers. 12 WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-B1 Shows beginning understanding of number and quantity. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-A1 Shows curiosity and interest in counting and numbers. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-A1 Shows beginning understanding of number and quantity 12 12 WSSHS3 WSSHS4 12 WSS-K Mathematical Thinking Cognitive and General Knowledge III-B1 Shows understanding of number and quantity. 12 WSS-K Mathematical Thinking Cognitive and General Knowledge III-B2 Begins to understand relationships between quantities 13 COR Science and Mathematics Cognitive and General Knowledge CC Identifying position and direction. 13 GOLD Mathematics Cognitive and General Knowledge 21a Understands spatial relationships. 13 GOLD Mathematics Cognitive and General Knowledge 21b Understands shapes. 13 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-D1 Identifies several shapes. 41 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain Item ID Item 13 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-D2 13 WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-D2 13 WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-D1 Mathematics Knowledge and Skills Cognitive and General Knowledge VII-C1 Identifies several shapes. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-C2 Shows understanding of several positional words. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-C1 Mathematics Knowledge and Skills Cognitive and General Knowledge VII-C2 13 13 13 13 WSSHS3 WSSHS3 WSSHS4 WSSHS4 Shows understanding of several positional words. Shows understanding of and uses several positional words. Begins to recognize and describe the attributes of shapes. Begins to recognize and describe the attributes of shapes. Shows understanding of and uses several positional words. 13 WSS-K Mathematical Thinking Cognitive and General Knowledge III-D1 Recognize and describes some attributes of shapes. 13 WSS-K Mathematical Thinking Cognitive and General Knowledge III-D2 Shows understanding of and uses direction, location, and position words. 14 COR Science and Mathematics Cognitive and General Knowledge AA Comparing properties. 14 GOLD Mathematics Cognitive and General Knowledge 22 Compares and measures. 14 GOLD Science and Technology Cognitive and General Knowledge 28 Uses tools and other technology to perform tasks. 14 WSS-P3 Mathematical Thinking Cognitive and General Knowledge IV-A3 Makes comparisons among objects. 14 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-E1 Shows understanding of some comparative words. 14 WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-E2 Participates in measuring activities. 14 WSS-P3 Scientific Thinking Cognitive and General Knowledge IV-A1 14 WSS-P3 Scientific Thinking Cognitive and General Knowledge IV-A2 14 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A3 Makes comparisons among objects. 14 WSS-P4 Scientific Thinking Cognitive and General Knowledge III-E1 Orders, compares, and describes objects according to a single attribute. 14 WSS-P4 Scientific Thinking Cognitive and General Knowledge III-E2 Participates in measuring activities. Uses senses to observe and explore classroom materials and natural phenomena. Begins to use simple tools and equipment for investigation. 42 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain Item ID Item 14 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A1 Asks questions and uses senses to observe and explore materials and natural phenomena. 14 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A2 Uses simple tools and equipment for investigation. Logic and Reasoning Cognitive and General Knowledge IV-A1 Makes comparisons among objects. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-E1 Shows understanding of some comparative words. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-E2 Participates in measuring activities. Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Science Knowledge and Skills Cognitive and General Knowledge VIII-A1 Logic and Reasoning Cognitive and General Knowledge IV-A1 Makes comparisons among objects. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-E1 Orders, compares, and describes objects according to a single attribute Mathematics Knowledge and Skills Cognitive and General Knowledge VII-E2 Participates in measuring activities. Science Knowledge and Skills Cognitive and General Knowledge VIII-A1 Uses simple tools and equipment for investigation. Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 14 14 14 14 14 14 14 14 14 14 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 Uses senses to observe and explore classroom materials and natural phenomena. Begins to use simple tools and equipment for investigation. Asks questions and uses senses to observe and explore materials and natural phenomena. Orders, compares, and describes objects by size, length, capacity, and weight. Explores common instruments for measuring during work or play. Uses simple tools and equipment to extend the senses and gather data. 14 WSS-K Mathematical Thinking Cognitive and General Knowledge III-E1 14 WSS-K Mathematical Thinking Cognitive and General Knowledge III-E2 14 WSS-K Scientific Thinking Cognitive and General Knowledge IV-A2 14 WSS-K Scientific Thinking Cognitive and General Knowledge IV-B1 15 COR Science and Mathematics Cognitive and General Knowledge DD Identifying sequence, change, causality. 15 GOLD Science and Technology Cognitive and General Knowledge 24 Uses scientific inquiry skills. 15 WSS-P3 Scientific Thinking Cognitive and General Knowledge IV-A1 15 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A1 Identifies, describes, and compares properties of objects. Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. 43 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 15 15 Tool WSSHS3 WSSHS4 Developer’s Domain Common Metric Domain Item ID Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Scientific Thinking Cognitive and General Knowledge IV-A1 15 WSS-K 16 COR Science and Mathematics Cognitive and General Knowledge EE 16 GOLD Science and Technology Cognitive and General Knowledge 26 16 WSS-P3 Scientific Thinking Cognitive and General Knowledge IV-A1 16 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A1 Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 16 16 WSSHS3 WSSHS4 Item Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. Seeks information through observation, exploration, and descriptive investigations. Identifying materials and properties. Demonstrates knowledge of the physical properties of objects and materials. Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. 16 WSS-K Scientific Thinking Cognitive and General Knowledge IV-B1 16 WSS-K Scientific Thinking Cognitive and General Knowledge IV-D1 17 COR Initiative Cognitive and General Knowledge C 17 COR Creative Representation Cognitive and General Knowledge K 17 GOLD Cognitive Cognitive and General Knowledge 14b 17 WSS-P3 The Arts Cognitive and General Knowledge VI-A2 Participates in creative movement, dance, and drama. 17 WSS-P4 The Arts Cognitive and General Knowledge VI-A2 Participates in creative movement, dance, and drama. Creative Arts Expression Cognitive and General Knowledge IX-B1 Participates in creative movement, dance, and drama. Creative Arts Expression Cognitive and General Knowledge IX-D1 Creative Arts Expression Cognitive and General Knowledge IX-D1 Creative Arts Expression Cognitive and General Knowledge IX-B1 17 17 17 17 WSSHS3 WSSHS3 WSSHS4 WSSHS4 Identifies, describes, and compares properties of objects. Explores and identifies properties of rocks, soil, water, and air. Initiating play. "pretend play/pretend roles, child modifies play" Pretending. Engages in sociodramatic play. "plans/negotiates complex role play" Participates in dramatic play activities Engages in dramatic play Participates in creative movement, dance, and drama. 44 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain 17 WSS-K The Arts Cognitive and General Knowledge VI-A2 18 COR Movement and Music Cognitive and General Knowledge O Moving to music. 18 GOLD The Arts Cognitive and General Knowledge 35 Explores dance and movement concepts. 18 WSS-P3 The Arts Cognitive and General Knowledge VI-A2 Participates in creative movement, dance, and drama. 18 WSS-P4 The Arts Cognitive and General Knowledge VI-A2 Participates in creative movement, dance, and drama. Creative Arts Expression Cognitive and General Knowledge IX-B1 Participates in creative movement, dance, and drama. Creative Arts Expression Cognitive and General Knowledge IX-B1 Participates in creative movement, dance, and drama. The Arts Cognitive and General Knowledge VI-A2 Participates in creative movement, dance, and drama. 18 18 WSSHS3 WSSHS4 Item ID Item Participates in creative movement, dance, and drama. 18 WSS-K 19 COR Movement and Music Cognitive and General Knowledge N Feeling and expressing steady beat. 19 COR Movement and Music Cognitive and General Knowledge P Singing. 19 GOLD The Arts Cognitive and General Knowledge 34 Explores musical concepts and expression. 19 WSS-P3 The Arts Cognitive and General Knowledge VI-A1 Participates in group music experiences. 19 WSS-P4 The Arts Cognitive and General Knowledge VI-A1 Participates in group music experiences. Creative Arts Expression Cognitive and General Knowledge IX-A1 Participates in group music experiences. Creative Arts Expression Cognitive and General Knowledge IX-A1 Participates in group music experiences. The Arts Cognitive and General Knowledge VI-A1 Participates in group music experiences. 19 19 WSSHS3 WSSHS4 19 WSS-K 20 COR Creative Representation Cognitive and General Knowledge J Drawing and painting pictures. 20 COR Cognitive Cognitive and General Knowledge I Making and building models 20 GOLD Cognitive Cognitive and General Knowledge 14a Thinks Symbolically. 20 GOLD The Arts Cognitive and General Knowledge 33 Explores the visual arts. 45 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 20 20 Tool WSSHS3 WSSHS4 Developer’s Domain Common Metric Domain Item ID Creative Arts Expression Cognitive and General Knowledge IX-C1 Creative Arts Expression Cognitive and General Knowledge IX-C1 20 WSS-K The Arts Cognitive and General Knowledge VI-B1 20 WSS-P3 The Arts Cognitive and General Knowledge VI-B1 20 WSS-P4 The Arts Cognitive and General Knowledge VI-B1 20 WSS-P3 Language and Literacy Cognitive and General Knowledge II-D1 20 WSS-P3 The Arts Cognitive and General Knowledge VI-A3 20 WSS-P4 Language and Literacy Cognitive and General Knowledge II-D1 20 WSS-P4 The Arts Cognitive and General Knowledge VI-A3 Literacy Knowledge and Skills Cognitive and General Knowledge VI-E1 Creative Arts Expression Cognitive and General Knowledge IX-C2 Logic and Reasoning Cognitive and General Knowledge IV-B1 Logic and Reasoning Cognitive and General Knowledge IV-B1 Literacy Knowledge and Skills Cognitive and General Knowledge VI-E2 Creative Arts Expression Cognitive and General Knowledge IX-C2 20 20 20 20 20 20 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 Item Responds to artistic creations or events. Responds to artistic creations or events. Responds to artistic creations or events. Responds to artistic creations or events. Responds to artistic creations or events. Represents ideas and stories through pictures, dictation, and play. Uses a variety of art materials for tactile experience and exploration. Represents ideas and stories through pictures, dictation. Uses a variety of art materials for tactile experience and exploration. Represents ideas and stories through pictures, dictation, and play. Uses a variety of art materials for tactile experience and exploration. Represents ideas and stories through pictures, dictation, and play. Represents ideas and stories through pictures, dictation and play Represents ideas and stories through pictures, dictation and play Uses a variety of art materials for tactile experience and exploration. Represents ideas and stories through pictures, dictation, and play. Uses a variety of art materials to explore and express ideas and emotions. 20 WSS-K Language and Literacy Cognitive and General Knowledge II-D1 20 WSS-K The Arts Cognitive and General Knowledge VI-A3 21 COR Science and Mathematics Cognitive and General Knowledge FF Identifying natural and living things. 21 GOLD Science and Technology Cognitive and General Knowledge 27 Demonstrates knowledge of Earth's environment. 21 WSS-P3 Social Studies Cognitive and General Knowledge V-D1 Shows beginning awareness of their environment. 46 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 21 21 21 Tool WSS-P4 WSSHS3 WSSHS4 Developer’s Domain Common Metric Domain Item ID Social Studies Cognitive and General Knowledge V-D2 Shows awareness of the environment. Social Studies Knowledge and Skills Cognitive and General Knowledge X-B1 Shows beginning awareness of their environment. Social Studies Knowledge and Skills Cognitive and General Knowledge X-B2 Shows awareness of the environment. 21 WSS-K Scientific Thinking Cognitive and General Knowledge IV-D1 21 WSS-K Scientific Thinking Cognitive and General Knowledge IV-D2 22 COR Science and Mathematics Cognitive and General Knowledge FF 22 GOLD Science and Technology Cognitive and General Knowledge 25 22 WSS-P3 Scientific Thinking Cognitive and General Knowledge IV-A1 22 WSS-P4 Scientific Thinking Cognitive and General Knowledge IV-A1 Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Science Knowledge and Skills Cognitive and General Knowledge VIII-B1 Scientific Thinking Cognitive and General Knowledge IV-C1 22 22 WSSHS3 WSSHS4 Item Begins to observe and describe simple seasonal and weather changes. Explores and identifies properties of rocks, soil, water, and air. Identifying natural and living things. Demonstrates knowledge of the characteristics of living things Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. Uses senses to observe and explore classroom materials and natural phenomena. Asks questions and uses senses to observe and explore materials and natural phenomena. Observes and describes characteristics, basic needs, and life cycles of living things 22 WSS-K 23 COR Social Relations Social-Emotional E Relating to adults. 23 GOLD Social Emotional Social-Emotional 2a Forms relationships with adults. 23 GOLD Social Emotional Social-Emotional 1b Follows limits and expectations. 23 WSS-P3 Personal and Social Development Social-Emotional I-B1 Follows simple classroom rules and routines with guidance. 23 WSS-P3 Personal and Social Development Social-Emotional I-E1 Seeks adult help when needed to resolve conflicts. 23 WSS-P3 Personal and Social Development Social-Emotional I-D2 Interacts with familiar adults. 23 WSS-P4 Personal and Social Development Social-Emotional I-B1 Follows simple classroom rules and routines. 23 WSS-P4 Personal and Social Development Social-Emotional I-E1 Seeks adult help when needed to resolve conflicts. 47 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 23 23 23 23 23 23 23 Tool WSS-P4 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Personal and Social Development Social-Emotional I-D2 Interacts easily with familiar adults. Social and Emotional Development Social-Emotional II-C1 Follows simple classroom rules and routines with guidance. Social and Emotional Development Social-Emotional II-A4 Seeks adult help when needed to resolve conflicts. Social and Emotional Development Social-Emotional II-A2 Interacts with familiar adults. Social and Emotional Development Social-Emotional II-C1 Follows simple classroom rules and routines. Social and Emotional Development Social-Emotional II-A4 Seeks adult help when needed to resolve conflicts. Social and Emotional Development Social-Emotional II-A2 Interacts easily with familiar adults. 23 WSS-K Personal and Social Development Social-Emotional I-B1 Follows classroom rules and routines. 23 WSS-K Personal and Social Development Social-Emotional I-D2 Interacts easily with familiar adults. 23 WSS-K Personal and Social Development Social-Emotional I-E1 Seeks adult help and begins to use simple strategies to resolve conflicts. 24 COR Social Relations Social-Emotional F Relating to other children. 24 GOLD Social Emotional Social-Emotional 2c Interacts with peers. 24 GOLD Social Emotional Social-Emotional 2d Makes friends. 24 GOLD Social Emotional Social-Emotional 3a Balances needs and rights of self and others. 24 WSS-P3 Personal and Social Development Social-Emotional I-D3 Participates in the group life of the class. 24 WSS-P3 Personal and Social Development Social-Emotional I-D1 Interacts with one or more children. 24 WSS-P4 Personal and Social Development Social-Emotional I-D1 Interacts easily with one or more children. 24 WSS-P4 Personal and Social Development Social-Emotional I-D3 Participates in the group life of the class. Approaches to Learning Social-Emotional III-C1 Participates in the group life of the class. Social and Emotional Development Social-Emotional II-A1 Interacts with one or more children. 24 24 WSSHS3 WSSHS3 48 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 24 24 Tool WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Approaches to Learning Social-Emotional III-C1 Participates in the group life of the class. Social and Emotional Development Social-Emotional II-A1 Interacts easily with one or more children. 24 WSS-K Personal and Social Development Social-Emotional I-D3 Participates in the group life of the class. 24 WSS-K Personal and Social Development Social-Emotional I-D1 Interacts easily with one or more children. 25 COR Social Relations Social-Emotional G Resolving interpersonal conflict. 25 GOLD Social Emotional Social-Emotional 3b Solves social problems. 25 WSS-P3 Personal and Social Development Social-Emotional I-E1 Seeks adult help when needed to resolve conflicts. 25 WSS-P4 Personal and Social Development Social-Emotional I-E1 Seeks adult help when needed to resolve conflicts. Social and Emotional Development Social-Emotional II-A4 Seeks adult help when needed to resolve conflicts. Social and Emotional Development Social-Emotional II-A4 Seeks adult help when needed to resolve conflicts. Personal and Social Development Social-Emotional I-E1 Seeks adult help and begins to use simple strategies to resolve conflicts. 25 25 WSSHS3 WSSHS4 25 WSS-K 26 COR Social Relations Social-Emotional H Understanding and expressing feelings. 26 GOLD Social Emotional Social-Emotional 2b Responds to emotional cues. 26 GOLD Social Emotional Social-Emotional 1a Manages feelings. 26 WSS-P3 Personal and Social Development Social-Emotional I-D4 Shows empathy and caring for others. 26 WSS-P4 Personal and Social Development Social-Emotional I-D4 Shows empathy and caring for others. Social and Emotional Development Social-Emotional II-A3 Shows empathy and caring for others. Social and Emotional Development Social-Emotional II-A3 Shows empathy and caring for others. Personal and Social Development Social-Emotional I-D4 Shows empathy and caring for others. Initiative Physical Development and Health 26 26 WSSHS3 WSSHS4 26 WSS-K 27 COR D Taking care of personal needs. 49 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain 27 GOLD Social Emotional Physical Development and Health 1c Takes care of own needs appropriately. 27 GOLD Physical/Special Ed Physical Development and Health 1c1 Eating and drinking. 27 GOLD Physical/Special Ed Physical Development and Health 1c2 Toileting and personal hygiene. 27 GOLD Physical/Special Ed Physical Development and Health 1c3 Dressing. 27 GOLD Physical/Special Ed Physical Development and Health 1c4 Personal Safety. 27 WSS-P3 Physical Development and Health Physical Development and Health VII-C1 Begins to perform self-care tasks independently. 27 WSS-P3 Physical Development and Health Physical Development and Health VII-C2 Follows basic health and safety rules with reminders. 27 WSS-P4 Physical Development and Health Physical Development and Health VII-C1 Performs some self-care tasks independently. 27 WSS-P4 Physical Development and Health Physical Development and Health VII-C2 Follows basic health and safety rules. Physical Development and Health Physical Development and Health I-A1 Begins to perform self-care tasks independently. Physical Development and Health Physical Development and Health I-A2 Follows basic health and safety rules with reminders. Physical Development and Health Physical Development and Health I-A1 Performs self-care tasks independently. Physical Development and Health Physical Development and Health I-A2 Follows basic health and safety rules. 27 27 27 27 WSSHS3 WSSHS3 WSSHS4 WSSHS4 Item ID Item 27 WSS-K Physical Development and Health Physical Development and Health VII-C1 Performs self-care tasks competently. 27 WSS-K Physical Development and Health Physical Development and Health VII-C2 Shows beginning understanding of and follows health and safety rules. 28 COR Movement and Music Physical Development and Health L Moving in various ways. 28 COR Movement and Music Physical Development and Health M Moving with objects. 28 GOLD Physical Physical Development and Health 4 Demonstrates traveling skills. 28 GOLD Physical Physical Development and Health 5 Demonstrates balancing skills. 28 GOLD Physical Physical Development and Health 6 Demonstrates gross motor manipulative skills. 50 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# Tool Developer’s Domain Common Metric Domain Item ID Item 28 WSS-P3 Physical Development and Health Physical Development and Health VII-A1 Moves with some balance and control. 28 WSS-P3 Physical Development and Health Physical Development and Health VII-A2 Coordinates movements to perform simple tasks. 28 WSS-P4 Physical Development and Health Physical Development and Health VII-A1 Moves with balance and control. 28 WSS-P4 Physical Development and Health Physical Development and Health VII-A2 Coordinates movements to perform simple tasks. Physical Development and Health Physical Development and Health I-B1 Moves with some balance and control Physical Development and Health Physical Development and Health I-A2 Coordinates movements to perform simple tasks. Physical Development and Health Physical Development and Health I-B1 Moves with balance and control. Physical Development and Health Physical Development and Health I-B2 Coordinates movements to perform simple tasks. 28 28 28 28 WSSHS3 WSSHS3 WSSHS4 WSSHS4 28 WSS-K Physical Development and Health Physical Development and Health VII-A1 Moves with balance and control. 28 WSS-K Physical Development and Health Physical Development and Health VII-A2 Coordinates movements to perform tasks. 29 COR Movement and Music Physical Development and Health L Moving in various ways. 29 COR Movement and Music Physical Development and Health M Moving with objects. 29 GOLD Physical Physical Development and Health 7a Uses fingers and hands. 29 GOLD Physical Physical Development and Health 7b Uses writing and drawing tools. 29 WSS-P3 Physical Development and Health Physical Development and Health VII-B1 Uses strength and control to perform simple tasks. 29 WSS-P3 Physical Development and Health Physical Development and Health VII-B2 Uses eye-hand coordination to perform simple tasks. 29 WSS-P3 Physical Development and Health Physical Development and Health VII-B3 Explores the use of various drawing and art tools. 29 WSS-P4 Physical Development and Health Physical Development and Health VII-B1 Uses strength and control to perform simple tasks. 29 WSS-P4 Physical Development and Health Physical Development and Health VII-B2 Uses eye-hand coordination to perform tasks. 29 WSS-P4 Physical Development and Health Physical Development and Health VII-B3 Shows beginning control of writing, drawing, and art tools. 51 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 29 29 29 29 29 29 Tool WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Physical Development and Health Physical Development and Health I-C1 Uses strength and control to perform simple tasks. Physical Development and Health Physical Development and Health I-C2 Uses eye-hand coordination to perform simple tasks. Physical Development and Health Physical Development and Health I-C3 Explores the use of various drawing and art tools. Physical Development and Health Physical Development and Health I-C1 Uses strength and control to perform simple tasks. Physical Development and Health Physical Development and Health I-C2 Uses eye-hand coordination to perform tasks. Physical Development and Health Physical Development and Health I-C3 Shows beginning control of writing, drawing and art tools. 29 WSS-K Physical Development and Health Physical Development and Health VII-B1 Uses strength and control to accomplish tasks. 29 WSS-K Physical Development and Health Physical Development and Health VII-B2 Uses eye-hand coordination to perform tasks effectively. 29 WSS-K Physical Development and Health Physical Development and Health VII-B3 Uses writing and drawing tools with some control. GOLD Cognitive Approaches to Learning GOLD Cognitive Approaches to Learning GOLD Cognitive Approaches to Learning GOLD Cognitive Approaches to Learning GOLD Cognitive Approaches to Learning COR Initiative Approaches to Learning COR Initiative Approaches to Learning COR Initiative Approaches to Learning COR Initiative Approaches to Learning WSS-P3 Personal and Social Development Approaches to Learning WSS-P3 Personal and Social Development Approaches to Learning 30 30 30 30 30 30 30 30 30 30 30 11a 11b 11c 11d 11e A B C D I-C1 I-C2 Attends and engages Persists Solves problems Shows curiosity and motivation Shows flexibility and inventiveness in thinking Making choices and plans Solving problems with materials Initiating play Taking care of personal needs Shows eagerness and curiosity as a learner. Attends briefly, and seeks help when encountering a problem. 52 Massachusetts EEC Common Metric Progress Memorandum Match/ Objectiv e# 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 Tool Developer’s Domain Common Metric Domain WSS-P3 Personal and Social Development Approaches to Learning WSS-P3 Personal and Social Development Approaches to Learning WSS-P4 Personal and Social Development Approaches to Learning WSS-P4 Personal and Social Development Approaches to Learning WSS-P4 Personal and Social Development Approaches to Learning WSS-P4 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 WSSHS4 Personal and Social Development Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning Approaches to Learning WSS-K Personal and Social Development Approaches to Learning WSS-K Personal and Social Development Approaches to Learning WSS-K Personal and Social Development Approaches to Learning WSS-K Personal and Social Development Approaches to Learning Item ID I-C3 I-D3 I-C1 I-C2 I-C3 I-D3 III-A1 III-A2 III-B1 III-C1 III-A1 III-A2 III-B1 III-C1 I-C1 I-C2 I-C3 I-D3 Item Approaches play with purpose and inventiveness. Participates in the group life of the class. Shows eagerness and curiosity as a learner. Attends to tasks and seeks help when encountering a problem. Approaches tasks with flexibility and inventiveness. Participates in the group life of the class. Shows eagerness and curiosity as a learner. Approaches play with purpose and inventiveness. Attends briefly, and seeks help when encountering a problem. Participates in the group life of the class. Shows eagerness and curiosity as a learner. Approaches tasks with flexibility and inventiveness. Attends to tasks and seeks help when encountering a problem. Participates in the group life of the class. Shows eagerness and curiosity as a learner. Sustains attention to a task, persisting even after encountering difficulty Approaches tasks with flexibility and inventiveness. Participates in the group life of the class. 53 Massachusetts EEC Common Metric Progress Memorandum Appendix Table A-3. Item Non-Matches Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Tool Developer’s Domain Common Metric Domain Item ID Item GOLD Cognitive Cognitive and General Knowledge 12a Recognizes and recalls GOLD Cognitive Cognitive and General Knowledge 12b Makes connections GOLD Social-Emotional Social-Emotional 29 Demonstrates knowledge about self GOLD Social-Emotional Social-Emotional 30 Shows basic understanding of people and how they live GOLD Social-Emotional Social-Emotional 31 Explores change related to familiar people or places GOLD Cognitive Cognitive and General Knowledge 32 Demonstrates simple geographic knowledge Social and Emotional Development Social-Emotional II-B1 Demonstrates self-confidence. Social and Emotional Development Social-Emotional II-B2 Shows some self-direction. Social and Emotional Development Social-Emotional II-C2 Begins to use classroom materials carefully. Social and Emotional Development Social-Emotional II-C3 Manages transitions. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-B1 Shows interest in solving mathematical problems. Social Studies Knowledge and Skills Cognitive and General Knowledge X-A1 Begins to understand own physical characteristics and those of others. Social Studies Knowledge and Skills Cognitive and General Knowledge X-A2 Begins to understand family structures and roles. Social Studies Knowledge and Skills Cognitive and General Knowledge X-A3 Describes some jobs people do. Social Studies Knowledge and Skills Cognitive and General Knowledge X-A4 Shows awareness of group rules. Social and Emotional Development Social-Emotional II-B1 Demonstrates self-confidence. Social and Emotional Development Social-Emotional II-B2 Shows some self-direction. Social and Emotional Development Social-Emotional II-C2 Uses classroom materials carefully. WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS3 WSSHS4 WSSHS4 WSSHS4 54 Massachusetts EEC Common Metric Progress Memorandum Number 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 Tool WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 WSSHS4 Developer’s Domain Common Metric Domain Item ID Item Social and Emotional Development Social-Emotional II-C3 Manages transitions. Logic and Reasoning Cognitive and General Knowledge IV-A2 Begins to be aware of technology and how it affects life. Mathematics Knowledge and Skills Cognitive and General Knowledge VII-B1 Social Studies Knowledge and Skills Cognitive and General Knowledge X-A1 Social Studies Knowledge and Skills Cognitive and General Knowledge X-A2 Social Studies Knowledge and Skills Cognitive and General Knowledge X-A3 Social Studies Knowledge and Skills Cognitive and General Knowledge X-A4 Demonstrates awareness of rules. Social Studies Knowledge and Skills Cognitive and General Knowledge X-A5 Shows beginning awareness of what it means to be a leader. Social Studies Knowledge and Skills Cognitive and General Knowledge X-B1 Describes the location of things in the environment WSS-K Personal and Social Development Social-Emotional I-A1 Demonstrates self-confidence. WSS-K Personal and Social Development Social-Emotional I-A2 Shows initiative and self-direction. WSS-K Personal and Social Development Social-Emotional I-B2 Uses classroom materials purposefully and respectfully WSS-K Personal and Social Development Social-Emotional I-B3 Manages transitions and adapts to changes in routine WSS-K Mathematical Thinking Cognitive and General Knowledge III-A1 WSS-K Mathematical Thinking Cognitive and General Knowledge III-A2 WSS-K Mathematical Thinking Cognitive and General Knowledge III-E3 WSS-K Mathematical Thinking Cognitive and General Knowledge III-E4 WSS-K Mathematical Thinking Cognitive and General Knowledge III-F1 WSS-K Scientific Thinking Cognitive and General Knowledge IV-A3 WSS-K Social Studies Cognitive and General Knowledge V-A1 Begins to use simple strategies to solve mathematical problems. Identifies similarities and differences in personal and family characteristics Begins to understand family needs, roles, and relationships. Describes some people's jobs and what is required for them to perform them. Begins to use and explain strategies to solve mathematical problems. Uses words and representations to describe mathematical ideas Estimates and measures using nonstandard and standard units Shows awareness of time concepts Begins to collect data and make records using lists or graphs Forms explanations and communicates scientific information Identifies similarities and differences in people's characteristics, habits, and living patterns. 55 Massachusetts EEC Common Metric Progress Memorandum Number 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 Tool Developer’s Domain Common Metric Domain Item ID Item Demonstrates beginning awareness of state and country WSS-K Social Studies Cognitive and General Knowledge V-A2 WSS-K Social Studies Cognitive and General Knowledge V-A3 WSS-K Social Studies Cognitive and General Knowledge V-B1 WSS-K Social Studies Cognitive and General Knowledge V-B2 WSS-K Social Studies Cognitive and General Knowledge V-B3 Begins to be aware of technology and how it affects life. WSS-K Social Studies Cognitive and General Knowledge V-C1 Demonstrates awareness of the reasons for rules. WSS-K Social Studies Cognitive and General Knowledge V-C2 Shows beginning understanding of what it means to be a leader. WSS-K Social Studies Cognitive and General Knowledge V-D1 Expresses geographic thinking WSS-K Social Studies Cognitive and General Knowledge V-D2 Shows beginning awareness of the relationship between people and where they live. WSS-P3 Personal and Social Development Social-Emotional I-A1 Demonstrates self-confidence. WSS-P3 Personal and Social Development Social-Emotional I-A2 Shows some self-direction. WSS-P3 Personal and Social Development Social-Emotional I-B2 Begins to use classroom materials carefully. WSS-P3 Personal and Social Development Social-Emotional I-B3 Manages transitions. WSS-P3 Mathematical Thinking Cognitive and General Knowledge III-A1 Shows interest in solving mathematical problems. WSS-P3 Social Studies Cognitive and General Knowledge V-A1 Begins to understand own physical characteristics and those of others. WSS-P3 Social Studies Cognitive and General Knowledge V-B1 Begins to understand family structures and roles. WSS-P3 Social Studies Cognitive and General Knowledge V-B2 Describes some jobs people do. WSS-P3 Social Studies Cognitive and General Knowledge V-C1 Shows awareness of group rules. WSS-P4 Personal and Social Development Social-Emotional I-A1 Demonstrates self-confidence. WSS-P4 Personal and Social Development Social-Emotional I-A2 Shows some self-direction. Shows some awareness of time and how the past influences people's lives. Begins to understand how people rely on others for goods and services Describes some people's jobs and what is required to perform them. 56 Massachusetts EEC Common Metric Progress Memorandum Number 59 60 61 62 63 64 65 66 67 68 69 Tool Developer’s Domain Common Metric Domain Social-Emotional Item ID Item WSS-P4 Personal and Social Development I-B2 Uses classroom materials carefully. WSS-P4 Personal and Social Development I-B3 Manages transitions. WSS-P4 Mathematical Thinking Cognitive and General Knowledge III-A1 WSS-P4 Social Studies Cognitive and General Knowledge V-A1 WSS-P4 Social Studies Cognitive and General Knowledge V-B1 WSS-P4 Social Studies Cognitive and General Knowledge V-B2 WSS-P4 Social Studies Cognitive and General Knowledge V-B3 Begins to be aware of technology and how it affects life. WSS-P4 Social Studies Cognitive and General Knowledge V-C1 Demonstrates awareness of rules. WSS-P4 Social Studies Cognitive and General Knowledge V-C2 Shows awareness of what it means to be a leader. WSS-P4 Social Studies Cognitive and General Knowledge V-D1 Describes the location of things in the environment. WSS-P4 Social Studies Cognitive and General Knowledge V-D2 Shows awareness of the environment. Begins to use simple strategies to solve mathematical problems. Identifies similarities and differences in personal and family characteristics. Begins to understand family needs roles and relationships. Describes some people's jobs and what is required to perform them. 57 Massachusetts EEC Common Metric Progress Memorandum APPENDIX B 58 Massachusetts EEC Common Metric Progress Memorandum Table B1. Differences in Work Sampling System Domain Scores by Age and Quartile, Means and Sample Sizes19 Three-Year Olds Assessment and Domains WSS-Personal and Social Development N WSS Language and Literacy N WSS-Mathematical Thinking N WSS-Scientific Thinking N WSS-Social Studies N WSS-The Arts N WSS-Physical Development and Health N WSS-Total Score N WSSHS Physical Development and Health N WSSHS Social and Emotional Development N 19 Four-Year Olds Five-Year Olds Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 36.24 44.1 53.9 63.9 35.1 44.3 53.7 64.2 36.1 44.5 54 63.9 105 156 84 61 74 142 130 122 104 202 139 164 36.3 45.1 52.4 62.8 36.8 45.2 52.7 64 37.7 44.9 52.7 63.7 125 114 114 64 54 111 80 133 54 111 62 83 35.3 45.3 51.2 63.5 36.6 45.3 50.4 65.4 38.9 45.3 51.3 62.1 63 122 69 63 24 94 62 117 54 74 48 25 35.3 45.4 52.2 65.4 34.2 45.4 52.1 65.4 36.1 45.4 52.1 65.4 51 188 32 52 51 142 33 130 79 142 33 130 29.6 40.2 52.5 64.1 32.9 41.2 51.6 64.7 29.7 42.2 60.0 62.3 14 26.6 17 36 37.1 13 59 44.2 182 80 61.2 99 14 28.6 17 19 37.2 13 54 44.2 182 113 61.3 144 32 28.3 11 43 37.2 15 23 44.7 162 6 61.1 96 31.3 40.5 50.8 62.6 32.7 40.5 53 62.6 32.5 40.5 51.5 62.6 10 37.7 136 123 44.9 137 122 52.6 110 55 63.2 70 13 36.6 84 87 45.2 147 100 52.9 127 108 63.6 178 14 37.5 133 109 45.1 192 102 52.6 167 87 63.3 177 35.1 44.3 51.3 63.1 39.5 44.3 50.9 63.4 128 255 109 115 30 169 129 213 36.6 44.4 51.5 62.2 38.4 44.4 52.3 63.2 196 58 126 115 65 27 124 208 For the WSS-Head Start and COR, there were no data for five-year olds. Age X Quartile Age Differences Quartile Differences ns Q1 < Q2 < Q3 < Q4 ns 3<4<5 Q1 < Q2 < Q3 < Q4 ns ns Q1 < Q2 < Q3 < Q4 p<.05 ns Q1 < Q2 < Q3 < Q4 p<.05 3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 ns Q1 < Q2 < Q3 < Q4 ns ns Q1 < Q2 < Q3 < Q4 p<.05 ns Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 p<.05 3<4 Q1 < Q2 < Q3 < Q4 ns 59 Massachusetts EEC Common Metric Progress Memorandum WSSHS Approaches to Learning N WSSHS Logic and Reasoning N WSSHS Language Development N WSSHS Literacy Knowledge and Skills N WSSHS Mathematics Knowledge and Skills N WSSHS Science Knowledge and Skills N WSSHS Creative Arts Expression N WSSHS Social Studies Knowledge and Skills N WSSHS Total Score N COR Initiative N COR Social Relations N COR Creative Representation N COR Movement and Music N 34.6 43.6 52.6 62.5 35.4 43.6 52.6 62.5 155 76 50 123 48 37 53 219 34.0 42.5 51.1 64.5 37.7 45.4 51.1 63.8 148 109 272 76 64 65 217 191 33.5 46.1 54.7 60.4 37.5 45.8 54.7 61.7 116 136 81 63 40 66 52 152 35.9 45.5 54.6 62.7 38.2 47.2 53.7 63.4 196 165 30 94 58 94 49 199 36.6 46.4 51.7 62.4 39.4 46.4 52.1 64.3 195 173 137 101 87 71 144 186 28.4 38.1 47.8 64.8 28.4 38.1 47.8 65.0 57 76 382 93 4 36 315 186 37.7 46.3 51.5 62.7 38.5 46.3 52.1 63.2 206 198 83 120 69 160 97 213 38.3 47.2 50.5 62.7 39.7 47.8 51.2 63.4 218 37.3 219 35.2 44 35.5 47 166 46.4 168 44.8 50 46.7 46 133 51.3 134 54.1 13 53.6 13 84 63.8 87 60.5 10 62.5 12 68 40.1 68 39.3 2 36.5 7 120 46.7 120 46.6 44 46.6 43 152 51.8 153 54.6 36 54.9 40 198 63.9 201 62.9 59 62.8 53 35.7 48.8 53.5 61.9 39.5 48.6 54.2 62.8 64 17 24 13 4 32 61 51 37.5 47.6 54.4 61.3 42.3 48.5 54.6 61.7 69 14 7 14 13 26 28 59 ns Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 p<.05 3<4 Q1 < Q2 < Q3 < Q4 p<.05 3<4 Q1 < Q2 < Q3 < Q4 p<.05 3<4 Q1 < Q2 < Q3 < Q4 p<.05 ns Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 p<.05 3<4 Q1 < Q2 < Q3 < Q4 ns ns Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 p<.05 60 Massachusetts EEC Common Metric Progress Memorandum COR Language and Literacy N COR Mathematics and Science N COR Total Score N 36.2 46.4 54.1 60.4 37.4 47.0 54.3 62.7 53 30 11 6 4 18 48 55 35.5 45.8 54.4 59.4 38.8 47.8 54.8 61.8 53 32 17 6 8 31 37 64 35.8 46.3 54.7 60.4 40.0 48.4 54.5 62.4 73 45 25 14 9 38 56 68 ns Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 ns 3<4 Q1 < Q2 < Q3 < Q4 p<.05 61 Massachusetts EEC Common Metric Progress Memorandum Table B2. GOLD Differences in Assessment Domain Scores by Age and Quartile, Means and Sample Sizes. One-Year Olds Two-Year Olds Three-Year Olds Four-Year Olds Five-Year Olds Assessment and Domains Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Social Emotional 34.3 45.6 53.6 59.2 36.9 45.8 52.7 62.2 37.1 46.2 53.3 61.4 38.1 46.6 53.8 62.5 38.0 46.9 54.1 62.9 604 46 7 4 618 350 102 33 1,411 1,402 839 391 666 1,301 1,750 2,096 106 240 517 1,105 32.7 46.1 54.3 60.9 36.9 46.9 54.4 61.1 36.7 47.2 54.3 60.8 38.0 47.6 54.6 61.9 38.5 48.0 54.8 62.6 744 61 13 5 547 422 75 46 1,383 1,570 587 361 619 1,380 1,545 1,983 74 239 381 1,176 32.5 45.0 54.0 59.8 36.7 45.9 53.4 60.4 36.4 46.5 53.9 60.6 37.7 46.8 54.3 61.9 38.2 47.0 54.4 62.2 616 23 6 5 602 345 84 31 1,314 1,411 871 404 598 1,204 1,777 2,177 90 280 526 968 33.4 45.1 52.5 58.5 36.9 45.6 53.0 59.6 37.1 46.3 53.0 61.2 38.3 46.8 53.6 62.7 38.3 47.0 53.9 63.0 542 20 7 2 679 317 62 20 1,321 1,512 743 346 509 1,232 1,730 2,100 76 245 540 931 36.2 46.6 53.6 57.3 37.7 44.5 51.6 62.3 38.0 45.1 52.3 60.8 38.8 45.5 52.5 63.0 39.5 45.8 52.7 64.4 68 5 3 3 405 122 20 4 1,384 1,094 433 208 617 1,250 1,407 1,684 44 275 451 890 33.5 1 45.1 61.4 36.5 44.8 53.1 60.4 37.4 45.6 53.1 60.7 38.2 46.2 53.7 62.9 38.8 46.4 53.8 63.9 215 1 10 2 625 219 26 5 1,301 1,438 553 234 525 1,227 1,503 1,911 65 240 379 886 N Physical N Language N Cognitive N Literacy N Mathematics N 1 Excluded due to small cell count. 62 Age Differences Quartile Differences Age X Quartile 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 1<2,3<4,5 Q1 < Q2 < Q3 < Q4 p<.05 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 1<2<3<4<5 Q1 < Q2 < Q3 < Q4 p<.05 Massachusetts EEC Common Metric Progress Memorandum Figure B1. WSS Preschool interaction effects of age by quartile on assessment scores by domain 63 Massachusetts EEC Common Metric Progress Memorandum Figure B2. WSS Head Start interaction effects of age by quartile on assessment scores by domain 64 Massachusetts EEC Common Metric Progress Memorandum 65 Massachusetts EEC Common Metric Progress Memorandum Figure B3. COR interaction effects of age by quartile on assessment scores by domain 66 Massachusetts EEC Common Metric Progress Memorandum Figure B4. GOLD interaction effects of age by quartile on assessment scores by domain 67 Massachusetts EEC Common Metric Progress Memorandum 68