Kindergarten Mathematics Running Record Tool Administration User Guide Domains: Counting and Cardinality—CC Operations and Algebraic Thinking—OA Number and Operation in Base Ten—NBT Institute for Learning 2013 1 Overview of the Kindergarten Mathematics Running Record Tool The Kindergarten Mathematics Running Record Formative Tool (KMRR) is an oral interview tool that is individually administered to students three times during the school year. The administration windows are October, January, and April. The tool is designed with three sections. The sections are focused on the three numeracy domains of Tennessee’s kindergarten standards for mathematical content. The three domains include the following: Counting and Cardinality (CC) Operations and Algebraic Thinking (OA) Number and Operation in Base Ten (NBT) The Design Structure of the Tool Within each of the three domains assessed by the KMRR, the interview items are organized into cycles. The cycles are: o intentionally designed to provide students with a variety of opportunities to demonstrate their understanding of concepts within a particular domain. o developmental in nature and successive cycles build on the previous cycle and provide multiple chances for students to answer similar interview items. o directly associated with an increase in the size of number and quantity with which students work. For example, in the Counting and Cardinality domain, the first cycle has numbers 0 – 5, the second cycle has numbers to 10, and the third cycle has numbers to 20. Institute for Learning 2013 o cummulative and are designed to help determine if students meet the standards by the end of the year. The KMRR is designed as an individual student interview. Three documents are needed to administer that tool. The documents include the following: Administration User Guide (this document) Teacher Directions Student Display Book Student Documentation Sheet The Administration User Guide contains overview information about the KMRR tool including adminisration guidance and standards alignment. The Teacher Directions include scripted teacher prompts for each item. The script ensures standard administration of the tool by all kindergarten teachers. Use of the script will prevent teachers from inadvertently guiding students to the correct answer. The Teacher Directions also indicate the accurate response that needs to be heard from the student to award credit. These directions also specify additional support that can be provided to students should the student not be able to respond to the prompt. During the tool the Teacher Directions indicate times when materials such as manipulatives, the Student Display Book, or crayons and paper are needed. After students respond to each tool item, the results are recorded by the teacher on the Student Documentation Sheet. Teachers will use a fresh documentation sheet for each student during every administration (e.g., one student will have three documentation sheets at the end of the year, one from each administration). At the end of the year, the teacher uses the Summative Rubric to determine if the student has met the standards, is approaching the standards, or shows little/no evidence of the standards. 2 How to Use the Tool The first administration of the tool is in October. The second administration is in the middle of the year, January. The final adminstration of the tool is in April or May. The three sections of the tool include the following: Counting and Cardinality Operations and Algebraic Thinking Number and Operation in Base Ten BEGIN the assessment with the Counting and Cardinality domain assessment and follow the steps below: 1. Ask the first interview item in the first cycle of this section of the assessment. 2. Continue asking interview items in the order they are provided. Note: Though it may be tempting to skip one or more of the domains out of concern for students’ readiness, it is important that each student be given the opportunity to answer items from all three domains. (Note, that each domain does not have to be administered in one sitting. I.e., teachers may choose to do the Operations and Algebraic Thinking domain on a different day than the Counting and Cardinality domain due to time, student/teacher fatigue, etc.) Document student responses to each item whether the response is correct or incorrect and indicate if the student does not give a response. Remember that the tool is not over until the student has missed three consecutive items* in each of the three sections. *As with any running record tool, teachers should exercise discretion and professional judgment when administering to students. Some examples where teachers may need to be flexible when administering the Kindergarten Mathematics Running Record may include: 3. After each item, record the student response on the Teacher Documentation Sheet. 4. Continue asking interview items and recording student responses until the student incorrectly answers three consecutive items in a cycle*. 5. When the student incorrectly answers three consecutive items* in a cycle, move to the next section of the assessment, the Operations and Algebraic Thinking domain. 6. Continue with steps 1-5 for the Operations and Algebraic Thinking domain of the assessment. 7. After the Operations and Algebraic Thinking assessment, continue steps 1-5 for the Number and Operation in Base Ten assessment. Institute for Learning 2013 Using two consecutive errors as a guidline to stop a cycle instead of three. Stopping the running record early in the best interest of the student. Asking one or two additional questions even after the student has made three consecutive errors. On second and third administrations, beginning at a cycle where the student had some difficulty. If the student performed well, start at the next cycle. Adding on to particular questions to provide more insight into the student’s thinking and ability (e.g., if the tool asks the student to write the number 3, the teacher could additionally ask the student to write 4 and 5; if the tool asks the student to start counting from 6, the teacher could additionally ask the student to start counting from 3). 3 Domains Example Student A - Admin #1 Counting and Cardinality Operations and Algebraic Thinking In Cycle 1: Student incorrectly answers question #2 and #6 (non-consecutive) In Cycle 1: Student correctly answers all questions Complete Cycle 1 in Counting and Cardinality domain Continue to Cycle 2 in Operations and Algebraic Thinking domain Continue to Cycle 2 in Counting and Cardinality domain In Cycle 2: Student correctly answers all questions Continue to Cycle 3 in Operations and Algebraic Thinking domain In Cycle 3: Student incorrectly answers #4, #5, and #6 (consecutive) Institute for Learning 2013 In Cycle 2: Student incorrectly answers question #1 and #5 (non-consecutive) Complete Cycle 2 in Operations and Algebraic Thinking domain Number and Operations in Base Ten In Cycle 1: Student incorrectly answers questions #1, #4, and #5 (Three non-consecutive) Continue to Cycle 2 in Number and Operations in Base Ten In Cycle 2: Student misses questions #4, 5, and 6 (consecutive) End of Assessment *Note: When readministering items, it is important not to alter the item. By readministrating the items as written, student understanding will be measured multiple times. If the item asks for the student to write the number 3, the student may write 3 accurately during the first administration and then write 3 as a reversal during the second administration. If this particular item was altered during the second administration by asking a student to write the number 4, his or her performance from the first and second administration is not comparable. With this in mind, the teacher may want to follow up with the student after the assessment and ask him or her to write additional numbers. 4 Considerations for the Next Administration The Running Record Tool Checklist Each time the tool is administered, the teacher determines which cycles need to be readministered from each of the domains. The teacher considers the number of items missed within a given cycle and the frequency of the missed items. Again, it is important to exercise judgment when determining where students should start for the next administration. Teachers might want to consider the following: An Running Record Tool Checklist has been provided for each domain of the tool. It appears at the bottom of each section and it is used to summarize the student responses from the focus domain. Following each administration of the tool, the teacher should note student placement on the tool checklist. If the student continues to struggle in class on particular concepts or skills If the student didn’t miss three in a row, but shows inconsistency with particular concepts or skills Ensuring the student has the opportunity to demonstrate mastery of all the Standards A student may meet the standard in one category but show no evidence in another category. Although the rubric is being used at the end of the school year, the teacher should use the rubric after each administration of the tool to identify the goals that students must achieve by the end of the school year. The tool checklist can also serve as a powerful tool to engage in conversations with parents, administrators, instructional coaches, and in PLCs. As an example, here are two possible scenarios: Scenario #1: During the first administration of the tool, a student incorrectly answers several items in Cycle 1 of the Counting and Cardinality domain, but does not miss three consecutive items until Cycle 2. The teacher may want to begin the second administration of the Counting and Cardinality domain by readministering all of Cycle 1 and then moving on to Cycle 2. Scenario #2: During the first administration of the tool, a student incorrectly answers one or two items in Cycle 1 of the Operations and Algebraic Thinking domain and then misses three consecutive items in cycle 2. The teacher may want begin the second administration of the Algebaric and Thinking domain with Cycle 2. (In this scenario, while the teacher may begin at Cycle 2, it may be beneficial to ask the one or two missed questions from Cycle 1 first.) Institute for Learning 2013 Helpful Hints: The department gathered valuable feedback through a small-scale pilot process and recommends the following in preparation for using the KMRR tool: Laminate or use sheet protectors for the student display sheets. Be sure pages that require color for a response are printed in color or are colored in by hand. Use a flip chart to display student display sheets Place teacher directions behind corresponding student display sheets in such a way that it is easy to read the question and scaffolding cues for each item. Create a portfolio for each student to track progress throughout the year. Average administration time is 15-30 minutes per student: be sure to have learning activities for other students; parent volunteers, teacher aides, etc. can provide support. 5 Kindergarten Mathematics Running Record Tool Domain: Counting and Cardinality (CC) Know number names and the count sequence. K.CC.A.1 Count to 100 by ones and by tens. K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1). K.CC.A.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects). Count to tell the number of objects. K.CC.B.4 Understand the relationship between numbers and quantities; connect counting to cardinality. K.CC.B.4a When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object. K.CC.B.4b Understand that the last number name said tells the number of objects counted. The number of objects is the same regardless of their arrangement or the order in which they were counted. K.OA.B.4c Understand that each successive number name refers to a quantity that is one larger. K.OA.B.5 Count to answer “how many?” questions about as many as 20 things arranged in a line, a rectangular array, or a circle, or as many as 10 things in a scattered configuration; given a number from 1–20, count out that many objects. Compare numbers. K.CC.C.6 Identify whether the number of objects in one group is greater than, less than, or equal to the number of objects in another group, e.g., by using matching and counting strategies. Compare two numbers between 1 and 10 presented as written numerals. Materials List for This Domain Student displays 20 counters: 10 each of two colors (These may include mathematical manipulatives.) Crayon and paper Teacher recording sheet Institute for Learning 2013 6 Kindergarten Mathematics Running Record Tool Domain: Operations and Algebraic Thinking (OA) Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from. K.OA.A.1 Represent addition and subtraction with objects, fingers, mental images, drawings, sounds (e.g., claps), acting out situations, verbal explanations, expressions, or equations. K.OA.A.2 Solve addition and subtraction word problems*, and add and subtract within 10, e.g., by using objects or drawings to represent the problem. *Progressions for the Common Core: Kindergarten students work with “add to” and “take from” result unknown situations and “put together/take apart” total unknown and both addends unknown situations. K.OA.A.3 Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1). K.OA.A.4 For any number from 1 to 9, find the number that makes 10 when added to the given number, e.g., by using objects or drawings, and record the answer with a drawing or equation. K.OA.A.5 Fluently add and subtract within 5. Materials List for This Domain Student displays 30 counters: 15 each of two colors (These may include mathematical manipulatives such as counters or crayons, blocks, marbles to match the context of the tool question.) Crayon and paper Teacher recording sheet Institute for Learning 2013 7 Kindergarten Mathematics Running Record Tool Domain: Number and Operation in Base Ten (NBT) Work with numbers 11–19 to gain foundations for place value. K.NBT.A.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones, e.g., by using objects or drawings, and record each composition or decomposition by a drawing or equation (e.g., 18 = 10 + 8); understand that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. Materials List for This Domain: Student displays Base Ten blocks: 2 tens and 15 ones (reproducible provided at the end of this document if these blocks are unavailable) Crayon and paper Teacher recording sheet Institute for Learning 2013 8