Title: "Inventatorium: A Journey of "Satori" and Creativity in African American and Latino Adolescents" Ed.D. Candidate: LaNelle Y. Harvey, California State University, Los Angeles Research Question(s): How do African American and Latino students in a large urban setting respond to the Inventatorium, a weekly program designed to promote creativity in science, math, and technology? Sub questions: 1. Do fifth and six grade Latino and African American students who participated in the Inventatorium demonstrate gains in creativity as measured by the Figural TTCT? 2. How do Latino and African American students who participate in the Inventatorium demonstrate creative and problem solving processes and emotional connections to geometry and measurement concepts? 3. How do fifth and sixth graders who participate in the Inventatorium see themselves as scientists and mathematicians? 4. How do Latino and African American fifth and sixth graders view their own creativity as they participate in the Inventatorium? Conceptual Framework and/or Guiding Purpose of the Study: The conceptual framework that supports this study is the intersection of four practices in the Inventatorium (see Figure 3.1). Creativity is linked with critical thinking and has potential for use as a culturally relevant pedagogy (CRP), creative characteristics of African Americans, and student achievement. Ladson-Billings' (1995) study with a group of African American teachers led to the formation of a grounded theory of culturally relevant pedagogy. The theory is situated in three or propositions: "(1) students must experience academic success, (2) students must develop and/or maintain cultural competence, and(3) students must develop a critical consciousness thought through which they challenge the status quo of the current social order " (Ladson-Billings, 1995, p.158). The recognition of creativity in students (a process that can be empirically documented) and the basic construct of creativity are the basis for much discussion. Clark (1988) outlined an integrated concept of creativity that includes: “thinking (can be developed by deliberate conscious practice and measured); sensing (a state of talent in creation of new products or talent in a particular area); feeling (releases emotional energy from the creator); and intuition (high consciousness or high awareness of elements in the environment). Baldwin (1986) has added to the discussion through what she has identifies as Latino and African Americans’ special approach to creativity or method of exhibiting creativity, raises the level of discourse (Baldwin). Therefore, the Inventatorium is designed to tap into Latino and African American students’ creative characteristics: a special kind of perception; openness to experience and new ideas; gets excited and involved (able to express feelings); ability to improvise with commonplace materials and originality of ideas; problem solving and problem-centeredness. The nurturing of creativity as a form of culturally relevant pedagogy hopefully will engage students in meaningful learning and strengthen Latino and African American students’ achievement in STEMS. Relevant Theoretical and Empirical Literature: Creativity Creativity in students and adults is the potential to produce novel ideas that are high in quality. Cropley (1999, 2008) places an emphasis on production of novelty as the crucial aspect of creativity. Products can be tangible such as works of art, a machine or a design, a written document, or intangible such as solutions, plans, and strategies. Novelty should be task-appropriate and can be produced in the form of mere selfexpression or also satisfy technical, professional, aesthetic, or scholarly criteria. Finke, Ward, and Smith (1992) distinguished between two kinds of processes leading to novelty. To be effective, novelty must generate both novel cognitive structures: basic mental processes people use to make sense of information (retrieving, associating, synthesizing, transforming). They must also explore the creative implications of new structures (e.g., attribute finding, interpreting, inferring, shifting context, hypothesis testing, and searching for limitations (Cropley, 1999, 2006). Tang and Gero (2006) discuss the Geneplore model developed by Finke, Ward & Smith (1992) in identifying the cognitive processes involved in creative thinking. Essentially, in the generative process, the student creates mental representations or mental images (ideas) of a product in the preinventive stage. This is followed by the explorative processes through which the final product evolves or is completed. Baker & Digiovanni (2005) infer that the “one-size-fits all” of scripted programs and pacing plans are not conducive to promoting creativity and actually counters culturally relevant pedagogy. While not promoting a complete abandonment of long range planning, Baker & Digiovanni criticize that a strict adherence to a timeline leaves for minimal opportunity for individuality or creativity in lesson design or student participation within the lesson. Delpit (2003) would agree in describing the “ practice of treating students as products on an assembly line” as detrimental. She further describes the use of lesson planning based on scripted programs such as Open Court has designed “with no thought as to the emotional and intellectual growth…”(p.1) of diverse students. These researchers describe one feature of culturally relevant pedagogy that teachers introduce including complex materials that would promote creativity and the use of analysis. Torrance’s (1974) endorses nurturing creativity within the context of cultural diversity so that African American students could excel in STEM. Since at least the seventies, educators and theorists have examined the relationship between creativity and critical thinking. Whereas critical thinking is generally thought of as involving logical thinking and reasoning, creativity is accepted by theorists as the creation of something new or novel (Cropley, 1999; James,Lederman Gerard, & Vagt-Traore, 2004; Sternberg, 1999). Creative thinking and critical thinking are interrelated; however there are some differences as shown in Appendix B. Both creative and critical thinking involve higher level thinking skills (HOTS) the upper levels of Bloom’s Taxonomy; analysis, synthesis, and evaluation. Some of the skills associated with creativity are flexibility, originality, fluency, elaboration, brainstorming, modification, imagery, associative thinking, attribute listing, metaphorical thinking, and forced relationships. The aim of creative thinking is to activate curiosity and promote divergence such as in invention building. Torrance (1974) would consider an effective environment for nurturing creativity to be one that brings about satori. Torrance describes satori as a burst of enlightenment. Baldwin (1985) describes satori as an a-ha experience. In Mihaly Csikszentmihalyi’s (1996) book on creativity, he interviews astronomer Vera Rubin. She describes the fun of discovery, “I just discovered something this spring that¹s enchanting and I remember how fun it was. I have enjoyed very much learning the details of each galaxy…So that¹s the story. And it¹s fun, great fun, to come upon something new” (Csikszentmihalyi, 1996, p.3-4). Wolfgang Pauli, a mathematical physicist, articulated the role of emotion and imagery, within in the unconscious region of the mind. He described concepts as being taken by images of powerful emotional content, which are not thought, but are seen pictorially, as it were, before the mind’s eye. Nobel Prize winning physicist Richard Feynman described the role of imagery as primary and often preceding formalist proofs. The mathematicians David Henderson and Daina Tamina believe that mathematics is a natural and deep part of human experience and that experiences of meaning in mathematics are accessible to everyone. Theorists have determined a relationship between creativity and academic achievement in math (Haylock, 1987; Mann, 2006). Creativity and critical thinking are inseparable aspects of rigorous thinking (Paul & Elder, 2006). As critical thinking is directly linked to math, creativity is an essential component of learning math. Since at least the seventies, educators and theorists have examined the relationship between creativity and critical thinking. Whereas critical thinking is generally thought of as involving logical thinking and reasoning, creativity is accepted by theorists as the creation of something new or novel (Sternberg, 1999; Cropley, 1999; Lederman Gerard, & Vagt-Traore, 2005). Unfortunately, Latino and African American students are disproportionately denied access to an environment that fosters creativity and critical thinking skills (Baldwin, 1982,). As a result, opportunity to participate in advanced classes in science, technology, engineering, and math (STEMS) is limited. Torrance’s (1974) endorses nurturing creativity within the context of cultural diversity so that urban area African American and Latino students could excel in STEM. Since at least the seventies, educators and theorists have examined the relationship between creativity and critical thinking. Whereas critical thinking is generally thought of as involving logical thinking and reasoning, creativity is accepted by theorists as the creation of something new or novel (Cropley, 1999; Lederman Gerard, & Vagt-Traore, 2005; Sternberg, 1999). Creative thinking and critical thinking are interrelated; however there are some differences as shown in Appendix B. Both creative and critical thinking involve higher level thinking skills (HOTS) the upper levels of Bloom’s Taxonomy; analysis, synthesis, and evaluation. Some of the skills associated with creativity are flexibility, originality, fluency, elaboration, brainstorming, modification, imagery, associative thinking, attribute listing, metaphorical thinking, and forced relationships. The aim of creative thinking is to activate curiosity and promote divergence such as in invention building. Researchers who have taken a creative-personality approach look for creative traits that can be measured or observed in an individual. Many researchers relate creativity to the trait, “openness to experience”, one of the five traits composing The Big Five model (Appendix ). This model was developed by a conglomerate of studies though empirical, data-driven research identifying the traits of human personality (Digman, 1990). Steinbert & Lubert, (1999) identified personality traits such as independence of judgement, self-confidence, attraction to complexity, aesthetics, and risk-taking. Clark’s (1988) concept of creativity looks at thinking, sensing, feeling, and intuition (Appendix C). Others such as Torrance, (1974) and Baldwin (1982) have identified several traits for the thinking creative individual often found among urban area, low socio economic, Latino and African American. Torrance (1971) discusses the failure of educational institutions to acknowledge these skills that are valued by a particular subculture. Torrance points out that many inner city children have skills that they have mastered to insure their social survival within the inner city community, but are not appreciated by the teachers. According to Torrance, a person who has skills that may make him/her appear gifted on the street—hustling, rapping, signifying, gang leadership, psyching out people, fighting, athletics, may appear rather untalented in a school dominated by a staff and values from a different culture. Over a period of six years, Torrance (1974) identified seventeen traits, which he calls “Creative positives” in urban area minority children. These creative positives (Appendix D) can be observed without the use of tests by engaging children in challenging activities in science, creative writing, visual arts, music, and performing arts. Ability to express feeling and emotions and emotional responsiveness, two of Torrance’s creative positives, are also identified as creative traits of African American students by Boykin (1983) and Shade (1982). Boykin (1983) calls emotional expressiveness, the affect, and describes it as integration of feelings with thought or action. In addition, problemsolving, originality of ideas, and high divergent thinking frequently appear as creative traits observable in African American children (Baldwin, 1982). Within the literature reviewed in creativity, most studies have focused on American African and Latino Learning styles. Baldwin (1982) discussed difficulties in understanding creative traits in Latino and African American children due to negative teacher perception. Torrance (1974) too, discussed teacher misperceptions of creative traits in minorities in urban areas, but also identified seventeen traits which he calls “Creative Positives” in minority children (P.3). These creative positives can be observed without the use of tests by engaging children in challenging activities in science, math, creative writing, visual arts, music, and performing arts. Shade (1982) compared perceptual differentiation in ninety-two African-American students and eighty-six European-American students and found African- Americans to be more field dependent, spontaneous, open-minded, and flexible than their European- American counterparts. Field dependence is associated with creative ability. Just as important is the environment. Csikszentmihalyi (1988) asserts that creative products result from a complex interaction between the person and the environment. A productive environment is one in which individuals are engaged in related creative activities. Studies focusing on the experiences of African American and Latino adolescents in an environment specifically designed to nurture creativity in STEM are limited. An in depth study of how environment, specifically the Inventatorium, can nurture creative ability is needed. An exploration of creativity as an alternative educational practice for culturally diverse students is also warranted. Furthermore, it is important to determine African American and Latino students’ perspectives on their experiences in that environment as the student voice is missing in the literature on creativity. Methods of Data Collection and Analysis: Methodological Overview This study will use a mixed methods design that is a more effective procedure for collecting and analyzing both quantitative and qualitative data at various stages of the research (Creswell. 2002). Mixed methods lend credence to a social inquiry in many ways. Some researchers feel that mixed methods is more thorough because neither quantitative nor qualitative methods independently are adequate for obtaining a more comprehensive portrait of a complex issue process (Creswell, 2002; Greene, Caracalla, and Graham 1989) In addition, a mixed methods approach provides triangulation, complementarily, development, initiation, and expansion (Greene et al, 1989). The purpose of triangulation is to provide stronger validity and less bias; triangulation is realized through the structure of a mixed methods design provided there are complementary strengths and non-overlapping weaknesses. Through complementarily, the researcher seeks to elaborate or clarify the results from one method with the results from another method. Development results from one method could shape subsequent methods or steps in the research process. Student responses and behavior might suggest that other assessments such as the Figural Torrance Test of Creative Thinking (TTCT): Thinking Creatively with Pictures is needed to determine the extent to which creativity is promoted. Initiation stimulates new research questions and challenges results that are often obtained through one method. In my case, in-depth interviews, student journals, and observations of students will provide new insights on how the Inventatorium may be a factor in nurturing students’ creativity and interest in STEMS. Expansion provides richness and detail to the study by exploring specific components of each method. In this study, a combination of the procedures mentioned above will broaden the breadth of the study and enlighten the debate on effective learning environments for Latino and African American students. Similar traits have been recognized in Latino students. Jalili (1988) identified the field dependent-cognitive style of Latinos similar to that of African American students(Shade, 1982). Additional traits observed in Latino students are conformity, peer-oriented learning, kinesthetic instructional resources, late morning and afternoon peak energy levels, and variety as opposed to routines. Griggs and Dunn (1965) recommend that teachers pair instructional and pedagogy to Latino students’ environmental and emotional preferences in promoting creativity in these students. Rationale for Using a Mixed Methods Approach: The rationale for using a mixed methods study is based on the notion that quantitative data yields closed-ended information, such as that found on performance instruments, while qualitative data consists of open-ended information that the researcher gathers through interviews with participants (Creswell, 2006) situating the study within the social and cultural context of the researcher and the participants (Creswell, 2009). Brown (2004), a social scientist, used the Cultural Diversity Awareness Instrument (CDAI) along with reflective journal reaction papers, field experiences and research projects to investigate the relationship between pedagogy for developing cultural sensitivity in teachers education for white perspective teachers and changes in resistance to cultural diversity which the education students may exhibit. Klieger and Yakobovitch (2011) used mixed methods to examine science teachers' perceptions of the effectiveness of the standards for teaching and learning, and the extent and level of difficulty in implementing science standards in different grades. The research combined qualitative and quantitative research methods in the form of questionnaires and observations to determine the extent of teacher implementation of the different standard. For this study, the quantitative data and results from administration of the Torrance test for Creativity (Torrance, 1962) will provide a general picture of the research problem, i.e., relationships among creative mental imagery processes and invention building as a result of creative mental imagery. Mental imagery is an experience of perceiving some object, event, or scene when they are not actually present to the senses. Also known as mental models or representations, a formal definition of mental imagery is an internal recreation or representation of a sensory perception or image (Polland, 1996). Mental imagery, more prominent in visual mode or visualization, plays a central role in creative thought. Qualitative methods will be used in this exploratory study to understand factors that contribute to academic achievement in STEM. This study is exploratory because little is known about the reactions of African American adolescents to an environment designed to nurture creativity or its relationship to the development of emotional connections to math and science and concepts. In conjunction with quantitative methods, qualitative methods are the best choice for this research because qualitative methods allow the participant-researcher to listen to the views of the research participants, while focusing on the natural setting or context, as in the Inventatorium in which participants engage in discussion. Qualitative research methods are unsurpassed for exploration of research problems that need a detailed understanding of the issue” (Creswell, 2007). The participant -researcher uses qualitative methods to empower participants” to share their stories and hear their voices” (Creswell, p.40). Qualitative methods are used because quantitative methods and statistical analysis do not always completely match the problem. The qualitative data and its analysis will refine and explain those statistical results from the Figural TTCT by exploring participants’ views in more depth. Qualitative research offers the opportunity to explore the directions that the participants and their experiences may take as well as to gain deeper understanding through natural interaction. This mixed methods study will use descriptive research methods that utilize elements of quantitative or qualitative research methodologies; however, descriptive studies cannot be used to show causal relationships. Descriptive statistics “tell what is,” and might be applied to questions such as: How successful is the Inventatorium in terms of developing creative abilities? It can involve collections of quantitative information that can be tabulated along a continuum in numerical form, such as scores on a Figural TTCT test. When in-depth, narrative descriptions of small numbers of cases are involved, the research uses description as a tool to organize data into patterns that emerge during analysis. Those patterns are useful in comprehending a study, more qualitative than quantitative, and its implications. The descriptive function of research is directly dependent on instrumentation for measurement and observation. Researchers may work for many years to perfect such instrumentation so that the resulting measurement will be accurate, reliable, and generalizable. Instruments such as the TTCT (Torrance, 1974) standardized tests for various purposes, and scores of thoroughly validated questionnaires are examples of some instruments that yield valuable descriptive data. Once the instruments are developed, they can be used to describe phenomena of interest to the researchers (AECT, 2001). In this design, qualitative data derived from African American students’ experiences with creativity while participating in the Inventatorium will follow-up the results of the Figural TTCT pre-test and help explain predictive relationships to the Figural TTCT post-test. Context for the Study: The Inventatorium The Inventatorium concept was established in 2010 by Dr. Gary Scott, a clinical professor University of Southern California, to identify and clarify a unique approach to the development of Science Technology Engineering and Math (STEM) learning processes. The concept and name of the Inventatorium were created to identify what Scott (2011) believes is a unique approach to the development of STEM learning processes. The Inventatorium was initially piloted as an after school program during the 2010-2011 school year in one urban elementary school. Only sixth graders were invited to attend during that time period. Only sixth graders were allowed to participate in the Inventatorium during the 2010-2011 school year. The principal and school supported the Inventatorium by providing a vacant room to house the project. The Inventatorium builds on students’ inherent curiosity and enjoyment in creating things that appeal to them by providing the materials and other resources for them to implement their ideas. The things students create encompass mathematical and scientific concepts that will emerge and be explored as part of their creative processes. The Inventatorium provides students an opportunity to invent, design, and build structures, mechanisms, and intriguing devices based on their interests and creativity. For the present study, the Inventatorium will take place each Wednesday for three hours after school. Participation in the Inventatorium will be based on a first come first serve basis until the goal of thirty participants is achieved. The Setting This study will take place in the Inventatorium, an after school program that is housed in a vacant classroom in a large urban school in central Los Angeles. Boykin Elementary School (a pseudonym) has approximately 1080 students enrolled in pre-k through sixth grade enrolled in the school. The ethnic makeup of the school is: 77.6% Hispanic, 22.2% African, and 0.2% Asian. The school is, overall, almost evenly split between females and males. At the school, there are no African American fifth or sixth grade students identified gifted. The school has three sixth grade classrooms and five fifth grade classrooms which students will be solicited for participation in the program. Each classroom will consist of approximately 32 students heterogeneously assigned. Sample A purposive convenience sample will be used for this study. Purposive sampling allows the researcher to select individuals for study because the sampling can purposefully inform an understanding of the research problem and central phenomenon to the study (Creswell, 2009). The sample for this study will consist of 10 fifth and sixth grade Latino and African American students selected from among those students who choose to participate in the Inventatorium beginning in fall 2011. Every fifth and sixth grade student will have an equal opportunity to participate in the Inventatorium but only those Latino and African American students who participate in the Inventatorium will be eligible to participate in the study. All Latino and African American students participating in the Inventatorium will receive a flyer inviting them to participate in the study. The first ten Latino and African American male and female students whose parents consent will participate in the study. None of the students who will participate in the Inventatorium or the study were previously involved in the Inventatorium. Instruments: Quantitative Data Collection The Figural TCTT: Thinking Creatively with Pictures. The quantitative phase of this study will employ a pretest-posttest design that focused on determining if participation results in improvement or development of creative abilities. All participants in the Inventatorium were assessed using the Figural TTCT: Thinking Creatively with Pictures (TTCT) during fall 2012 in order to establish baseline data related to each student’s measured level of creativity. Borg and Gall (1989) classify the outcomes of educational research into the four categories of description, prediction, improvement, and explanation. Improvement is whether a certain technique does something to help students learn better and whether certain interventions such as the activities designed for the Inventatorium can improve student learning. The TTCT was also administered in June 2013 at the end of the study in order to determine any growth in creativity levels. Science/Math Motivation Questionnaire (SMMQ), a teacher adaptation of the Motivations for Reading Questionaire (MRQ), was used to assess for motivation. Students who are highly motivated will be more likely to be successful. The results on the SMMQ were adapted to evaluate students’ motivation to learn and achieve in STEM education. In Addition, an Assessment of Geometry Concepts was given as both a preand post-test. This is a teacher generated test which is a compilation of geometry concepts. This assessment was administered during fall 2012 in order to establish baseline data related to each student’s knowledge and comprehension of geometry concepts. The Assessment of Geometry Concepts was also administered in May 2012 in order to determine any growth in creativity levels. The assessment will be administered to the whole group. Qualitative Data Collection Qualitative data collection began in October 2012 and consist of focus Group interviews, observations, and examination of student work samples collected from all the participants. During observations, I will function as a participant observer while I facilitated the learning activities as a volunteer instructor in the Inventatorium, questioning the students regarding their projects/activities and responding to their questions. Interviews A semi-structured interview format was used during each focus group interview to look for shifts in responses over time. A limited set of questions was planned in advance, but the researcher wanted the flexibility to bring up probing questions during the interview as a result of students’ responses. Every attempt was made to keep unplanned questions within the framework of themes to be explored. The interview began with one of the structured questions (Appendix A). Depending on the students’ responses, the researcher utilized probing questions to delve deeper into the students’ responses. Questions will also be asked to clarify responses: (a) I not sure I understand, or (b) Help me understand this. Field notes were gathered during all interviews, which were also audio or videotaped. Field notes and tapes from interviews were transcribed as soon as possible following the interview sessions in order to assure fidelity of the process. Observations Observations during Inventatorium activities begin in October2012 and continued throughout the study. Observations were performed one time per week for 60 minutes each week. A total of sixteen weeks of observations were completed. During observations, I functioned as a participant observer while I facilitated the Inventatorium learning activities as a volunteer instructor, questioning the students regarding their projects/activities and responding to their questions. Field notes, and anecdotal records were gathered during each observation, which were also videotaped, so that the tapes could be reviewed to check for accuracy of field notes. I used shorthand to record some observations. Observations were recorded under the guise of “doing my work.” All field notes and tapes were transcribed as soon as possible after the observation in order to insure accuracy. Student artifacts/work samples In order to explore the actual creative outcomes of the Inventatorium, photographs of the student-created inventions from the Inventatorium were collected from the student participants in the study. These documents photographs of students’ original work reflected their growth in creativity, that is whether or not the students embed and identify some of their complete figures from the Figural TTCT into their designs. Growth was determined through students’ explanations of revisions and their ideas for completing their inventions. Student journals As part of their work in the Inventatorium, all students were required to maintain ajournal. These journals were used to record ideas, doodles, revisions, pictures of inventions, feelings (frustrations, challenges, successes), and descriptions of experiences in the Inventatorium. The students often received a prompt such as one of the questions listed above or free to choose their own focus. Journals were viewed periodically, but collected at the end of the study for evaluation. Student drawings Collucci (2011) recommends allowing those participating in a focus group to have fun. For example, in this study, students were asked to draw pre- and post- of how they viewed scientists or mathematicians. They were then asked to describe their drawings to other participants or to add words or narrative to the picture. During the post drawing sessions, participants were invited to explore what is similar and different in the pre- and post-drawings. Drawing paper and crayons including multicultural crayons that come in an assortment of skin tones were made available to allow participants’ choice in creating images. As a means of assessing change, if any, in student self-perceptions, participants were interviewed individually after completing the first drawing, but prior to the post drawing. To minimize bias on the part of the researcher, students were asked to describe their drawings and to explain their drawings as well as the background or motivation for their representations. Qualitative data analysis Qualitative data sources (transcriptions of interview and observation field notes, audio and/or videotapes, photographs of student-created inventions, and student journals) will be viewed individually and holistically as a group. Both open and axial coding will be used to analyze qualitative data. The open coding for each source of qualitative data collection will be completed separately. Several copies of the transcriptions of the interviews, journals and observations will be read and re-read several times to identify emerging themes. At the axial coding phase, I will then use a data display table similar to Dome et al, (2003) to format to organize the categories. I will color-code the categories to identify overlap and broad themes. The same color-coded process will be used to link categories from each of the data sources. Non-verbal language will also be coded. Data Source 1. Do fifth and six grade Latino and African American students who participated in the Inventatorium demonstrate gains in creativity as measured by the Figural TTCT? 2. How do Latino and American Proposed Analysis Artifacts: Self-Image Photos of Journals; Pictures; Inventions T-Tests Observations; Photographed Focus groups Inventions √ √ √ √ students who participate in the Inventatorium demonstrate creative and problem solving processes and emotional connections to geometry and measurement concepts? 3. How do fifth and sixth graders who participate in the Inventatorium see themselves as scientists and mathematicians? 4. How do Latino and African American fifth and sixth graders view their own creativity as they participate in the Inventatorium? √ √ Initial Analysis and Emerging Recommendations: Quantitative Data Both the Assessment of Geometry Concepts and The Figural Torrance Test of Creative Thinking (TTCT) pre-test was administered to all students involved in the Inventatorium regardless of involvement in this study. Analysis has not been completed as yet as my timeline for analysis of both tests (supervised by Dr. Scott, creator of the Inventatorium) must coincide with that of Dr. Scott’s. Anticipated period for analysis is July 2013. At that time the post-test would also have been administered and both the pre-and posttest analysis will be completed. Initial and informal observations of the Assessment of Geometry Concepts reveal limited knowledge or understanding of basic geometric concepts. Several responses of “I don’t know,” were noted on several of the students’ tests. Although concrete analysis will be needed before final conclusions can be made, students involved in both the Inventatorium and the study are developing skills in geometry. To what extent has yet to be determined. Qualitative Data Collection Procedures and Instruments Observations, including videotaping, were completed on a weekly basis. It became necessary to provide questions to assist the students in uncoving their creative talents. For example, students were provided directions for building a car using K’nex kits, then asked “to improve the performance of the car.” These directions were found to be ambiguous (by the researcher) and led to an abundance of variables and confusion in the students’ ability to determine “whose car was better.” First, the concept of performance had to be developed with the students, and then students needed guidance in developing criteria for measuring or analyzing the improvement. Two possible themes that are becoming more revealing are commitment and taskorientation; that is whether or not students are committed or task-oriented. Student journals As part of their work in the Inventatorium, all students were required to maintain a journal. Students Journals were viewed periodically, but collected at the end of the study for evaluation. Students are not showing a willingness to complete journals, so as mentioned above, using questions to set task-orientation became necessary. As participants worked on their inventions, students were provided choices of avenues they can take. These include, but are not limited to: Create ten designs that include three of the shapes from “Creative Invention in Mental Imagery,” then produce one of those designs as your invention. Record the drawings and ideas in your journal. Also include materials you need and your next steps. Improve something that has already been invented. Explain its purpose and how it is an improvement. Record the drawings and ideas in your journal. Also include materials you need and your next steps. Student drawings Students were asked to draw a pre- and post-view of themselves as scientists or mathematicians. Both the pre-view, interview, and interview have been completed. They were asked to describe their drawings to other participants or to add words or narrative to the picture. Several of the images reflected a Dr. Frankenstein character or a “nerd” as verbalized by the students. Very few of the images reflected self-images or how the students see themselves as explained by the students. This included skin tones, although the students were provided multicultural crayons. Some of the explanations for the perceptions included images reflected in textbooks and on television. Some students had difficulty viewing themselves as scientists or mathematicians whom they described as being “smart and discoveries.” Most of the post- views reflected a change in perceptions of mathematicians and scientists. Student drawings reflected their own culture and gender. Many of the students drew themselves as scientists or mathematicians. Students defined a thinker as someone who uses strategies and never gives up; these characteristics were also projected onto scientists and mathematicians. As students began to view themselves as thinkers and creative (one who comes up with something new or different), they draw themselves as scientists and mathematicians. Student artifacts/work samples In order to explore the actual creative outcomes of the Inventatorium, photographs of the student-created inventions from the Inventatorium were collected from all participants. Two themes that are emerging are originality and practicality. The journal focus questions as well as the closing discussion served as catalyst for students to revise and produce their inventions. Coding Both open and axial coding will be used to analyze the data. The open coding for each source of data collection will completed separately. Several copies of the transcriptions of the interviews and the observations will be read and re-read several times to identify emerging themes. At the axial coding phase, I will then use a data display table similar to Dome et al, (2003) to format to organize the categories. I color-coded the categories to identify overlap and broad themes. The same color-coded process will be used to linked categories from each of the qualitative data sources. Data Analysis/ Initial Findings Several broad themes are emerging from both the interviews and the drawings as the context for the reactions of these Inventatorium participants; Individuality/Independence, Task-Oriented/Commitment, Perseverance/Persistence, and Awareness linked by Environment. Environment is multi-faced: time, place, opportunity. As previously explained, a productive environment is one in which individuals are engaged in related creative activities Time, place, and opportunity are interrelated as environment is not just a place, but a place that provides opportunity and time to explore those opportunities or activities. Environment Csikszentmihalyi (1998) asserts that creative products result from a complex interaction between the person and the environment. Environment appeared as a theme during student interviews. This was revealed in student responses to “What experiences have you had with being creative?” and “How does what you do in the Inventatorium compare to what you do in your classroom?” Carol would like to see the Inventatorium extend to more days. R: Okay, what changes would you recommend for the Inventatorium?. C: More days. R: More days? What about activities? Anything different that you would like to bring into the Inventatorium? Sammy speaks of the opportunities to participate in creative activities that are not available during the regular classroom period, R: Okay, how does the classroom compare to what you do in the Inventatorium, is it the same, or how are they different? S: Well, what we do in the class,,, let me see,,, well basically it connects to what we do in the class. R: Not the same types of activities, but like with thinking and creating? S: No, the stuff we do in the Inventatorium, we didn’t really do in the class. Like the experiences we had in the Inventatorium. R: So you feel you had many opportunities in the Inventatorium to be creative? Linda also speaks of the opportunities for engaging in creative pursuits. Interestingly she views the regular classroom teacher’s being overwhelmed by the pacing plans and the number of standards. Apparently this negatively impacts the teacher’s ability to duplicate offer activities similar to those in the Inventatorium. R: Can you give an example? What experiences have you had with being creative before you joined the Inventatorium? L: Like (Pauses a while) with my sister’s hair. I wanted to curl her hair without using any heat, so I just wrapped her hair in this really weird way. R: Did it work? L: Yes, it was nice. R: Have you had any other experiences with creativity before you came to the Inventatorium; in the classroom, out of the classroom, at home? L: (Pauses a long while) No. L: I would recommend it because in the Inventatorium there’s more thinking involved and more time: R: Could you give an example? Could you explain that? L: For example when we were doing cars.. . you…no (struggling)…when we we’re inventing things, you had to come up with why you were inventing that thing, and it creates more thinking because you’re not just coming with something up, but you’re coming with the reasons why you made it. R: Okay, and so you don’t. feel you can do that in the classroom. You would like to do more of that in the classroom? L: Yes R: You had mentioned something about time, too. um. you felt you had more time in the Inventatorium, not in the classroom. L: Yes, in the Inventatorium we have more time, In the classroom, we have to go over many, many things, and sometimes we don’t have enough time if someone doesn’t understand something. I feel in the Inventatorium, I have more time to go through the processes. R: What processes? L: Thinking processes. Figuring things out. APPENDIX A 1. Protocol Questions for Interview 2. Why did you join the Inventatorium? 3. What did you expect from the Inventatorium? 4. Is the Inventatorium what you expected? 5. How would you describe creativity? 6. What experiences have you had with being creative? 7. Do you think of yourself as creative? 8. N you describe a time you were being creative? 9. What is your idea of a thinker? 10. Are you a thinker? 11. Can you give me an example? 12. Where has your ability to think been used? (Describe a time or an activity.) 13. Would you recommend that another student join the Inventatorium? Why or why not? 14. How does what you do in the Inventatorium compare to what you do in the classroom? 15. Have you been able to connect what you learned in the classroom to what you are doing in the Inventatorium? 16. Have you been able to connect anything you learned in the Inventatorium to what you are doing in the classroom? 17. What challenges if any have you faced in the Inventatorium? 18. How did you handle these challenges? 19. What successes, if any, have you had in the Inventatorium? 20. What helped you to succeed? What did you do? 21. What changes, if any, would you recommend for the Inventatorium? APPENDIX B: Similarities and Differences of Creative and Critical Thinking Graphic shows interrelationships as well as differences between creative and critical thinking. Note novelty and invention building as aspects of creative thinking. APPENDIX C: “Big Five” Factors or Five Factor Model (FFM) Openness – (inventive/curious vs. consistent/cautious). Appreciation for art, emotion, adventure, unusual ideas, curiosity, and variety of experience. Conscientiousness – (efficient/organized vs. easy-going/careless). A tendency to show self-discipline, act dutifully, and aim for achievement; planned rather than spontaneous behavior. Extraversion – (outgoing/energetic vs. solitary/reserved). Energy, positive emotions, urgency, and the tendency to seek stimulation in the company of others. Agreeableness – (friendly/compassionate vs. cold/unkind). A tendency to be compassionate and cooperative rather than suspicious and antagonistic towards others. Neuroticism – (sensitive/nervous vs. secure/confident). A tendency to experience unpleasant emotions easily, such as anger, anxiety, depression, or vulnerability. The Big Five factors and their constituent traits can be summarized as (OCEAN): The five broad factors were discovered and defined by several independent sets of researchers (Digman, 1990). Personality traits were identified through comprehensive, empirical, data-driven research measures of self-reporting and questionnaire data, peer ratings, and objective measures from experimental settings. (Wikipedia, the free encyclopedia) APPENDIX D: Torrance’s Creative Positives 1. Ability to express feelings and 10. Responsiveness to the concrete emotions 11. Responsiveness to the kinesthetic 2. Ability to improvise with commonplace materials 12. Expressiveness of gestures, "body language," etc. 3. Articulateness in role playing and storytelling 13. Humor 4. Enjoyment of and ability in the visual arts—drawing, painting, sculpture, etc. 5. Enjoyment of and ability in creative movement, dance, dramatics, etc. 14. Richness in imagery of informal language 15. Originality of ideas in problemsolving 16. Problem-centeredness 6. Enjoyment of and ability in music, rhythm, etc. 17. Emotional responsiveness 7. Expressive speech 18. Quickness of warm-up. 8. Fluency and flexibility in nonverbal media 9. Enjoyment of and ability in small group activities, problem-solving, etc. Building upon Frank Riessman's suggestions concerning the "hidden" talents of minority children, Torrance spent six years on the identification, recognition, and reinforcement of what he has labeled the Creative Positives of African American children; especially those who live in low socioeconomic communities. Selected References: Association for Educational Communications and Technology. (2001). What is descriptive research? Retrieved from http://www.aect.org/edtech/ed1/41/4101.html Baldwin, A.Y. (1982). Understanding the challenge of creativity among African Americans. Journal of Secondary Gifted Education, 12, 1-17. Retrieved from ERIC database. (EJ624851) Baldwin, A. Y. (1985). Programs for the gifted and talented: Issues concerning minority populations. In E Horowitz & M. O'Brien (Eds.), The gifted and talented: Developmental perspectives (pp. 223-249). Washington DC: American Psychological Association. Baker P.B. & Digiovanni, L.W. (2005, July). Narratives on Culturally Relevant Pedagogy: Personal Responses to the Standardized Curriculum. Current Issues in Education [On-line],8(15). Retrieved July 7, 2013: from: http://cie.ed.asu.edu/volume8/number22/ Brown, W. (1994). Is there a fit between critical thinking theory and cognitive theory? In Keider, R. (Ed). Selected Papers from the Annual Conference of the Institute for the Study of Postsecondary Pedagogy (pp. 29-37). New Paltz, NY: Institute for the Study of Postsecondary Pedagogy. Clark, B. (1988). Growing up gifted (3rd ed.). Columbus: Merrill Colucci, E. (2007). ''Focus groups can be fun'': The use of activity-oriented questions in focus group discussions. Quality Health Research, 12, 166-176. doi:10.1177/1049732307308129 Creswell, J.W. (2002). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Upper Saddle River, NJ: Merrill Prentice Hall Creswell, J.W. (2007). Qualitative inquiry & research design: Choosing among five approaches. Thousand Oaks, CA: Sage. Creswell, J. W. (2009). Research Design: Qualitative, Quantitative, and Mixed Method Approaches (2nd edition). Thousand Oaks, CA: Sage Publications. Cropley, A.J. (1999). Creativity and cognition: Producing effective novelty. Roeper Review 21, 253-269. Retrieved from ERIC database. (EJ589520) Cropley, A.J. (2008). Defining and measuring creativity: Are creativity tests worth using? Roeper Review. 23, 72-79. Retrieved from ERIC database (EJ621381) Csikszentmihalyi, M. (1998). Finding Flow: The psychology of engagement with everyday life. Jacksonville: Basic Books. Delpit, L. (2003). Educators as “seed people’ growing a new future. Educational Researcher,32(7), 14-21.Digman, J.M. (1990). "Personality structure: Emergence of the five-factor model". Annual Review of Psychology, 41: 417–440. Dome, N., Prado-Olmos, P., Ulanoff, S. H., Ramos, R., and Vega- Castaneda, L. (2005). I don’t like not knowing how the world works: examining preserve teachers’ narrative reflections. Teacher Education Quarterly, 32(2), 63-83. Durden. T. (2008). Do your homework! Investigating the role of culturally relevant pedagogy in comprehensive school reform models serving diverse student populations. Urban Review: Issues and Ideas in Public Education, 40, 403-419. Retrieved from ERIC database (EJ816742) Finke, R. A., Ward, T. B., & Smith, S. M. (1992). Creative cognition: Theory, research, and applications. Cambridge, MA: MIT Press Haylock, D. W. (1987). A framework for assessing mathematical creativity in school children. Education Studies in Mathematics, 18(1), 59-74. Henderson, D.H. & Tamina, D. (2005). Experiencing geometry: Euclidian and noneuclidian with history. Upper Sadle River: Pearson Education Jalali, F. (1988). A cross-cultural comparative analysis of the learning styles and field independence/independence characteristics of selected fourth, fifth, and sixth grade students of Afro, Chinese, Greek, and Mexican heritage. (Doctoral dissertation). In Dissertation Abstracts International, 50(62), 344A. James, V., Lederman G., R., & Vagt-Traore, B. (2004). Enhancing creativity in the classroom. In M. Orey (Ed.), Emerging perspectives on learning, teaching, and technology. Retrieved from http://projects.coe.uga.edu/epltt/ Klieger, A. & Yakobovitch, A. (2010). Perception of science standards' effectiveness and their implementation by science teachers. Journal of Science Education and Technology, 20, 286-299 Retrieved from ERIC database (EJ925873). Ladson-Billings, G. (1995a). But that's just good teaching! The case for culturally relevant pedagogy. Theory Into Practice, 34(3), 159-165. Ladson-Billings, G.J. (1995b). Toward a critical race theory of education. Teachers College Record, 97, 47-68. Ladson-Billings, G. (1995c). New directions in multicultural education: complexities, boundaries, and critical race theory. In J. A. Banks & C. A. M. Banks (Eds.). Handbook of Research on Multicultural Education, (pp.50-65). San Francisco: Jossey-Bass . Mann, E. (2006). Creativity: An essential element in your mathematics classroom. National Association for Gifted Children. Retrieved http://www.education.com/reference/article/Ref_Creativity_Essential/ Paul, R., & Elder, L. (2006). Critical thinking: The nature of critical and creative thought. Journal of Developmental Education, 30(2), 34-35. Polland, M. (1996). Mental imagery in creative thinking in problem- solving. Unpublished doctoral dissertation. Claremont, CA: Claremont Graduate School. Retrieved from ERIC Shade, B.J. (1982). Is there an Afro-American cognitive style? An exploratory study In Burlew, A.K., Banks, W., McAdoo, H. D., Azibo, D. (Eds), African-American Psychology: Theory, Research, and Practice (pp. 256-259). Thousand Oakes: Sage Publications. Sternberg, R. J., & Lubart, T. I. (1999). The concept of creativity: Prospects and paradigms. In R. J. Sternberg (Ed.). Handbook of Creativity. Cambridge, England: Cambridge University Press. Torrance, E.P. (1974). Deficits are not differences. Teachers College Record, 75, 471478. Retrieved from http://www.tcrecord.org/Home.asp Torrance, E. P. (1979). The search for satori and creativity. Great Neck, NY: Creative Synergetic Associates, Ltd.