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수학 영역에서 창의적 산출물 개념의 구조 탐색 원문보기

  • 저자

    홍주연

  • 학위수여기관

    경상대학교 대학원

  • 학위구분

    국내박사

  • 학과

    수학교육학과

  • 지도교수

  • 발행년도

    2014

  • 총페이지

    viii, 105 p.

  • 키워드

    창의적 산출물 창의적 산출물 의미 척도 창의적 산출물 개념의 구조;

  • 언어

    kor

  • 원문 URL

    http://www.riss.kr/link?id=T13534299&outLink=K  

  • 초록

    This study has to do with creative products in mathematics. We discuss the theoretical background about the concept of creative products. We analyze the Taylor's creative product depending on developmental levels of creativity, Taylor's creative product inventory, Besemer and Treffinger's creative products analysis matrix, O'Quin and Besemer's creative products semantic scale and the structure of the concept of creative product, etc. The purpose of this study is to make creative products' semantic scale and to find the structure of the concept of creative products in mathematics. The exploratory factor analysis has been used to make creative products' semantic scale in mathematics and to find the valid number of factors. The confirmatory factor analysis is used to examine factor structure of the data set gathered. The analysis is performed by using the software program, SPSS 21.0, AMOS 18.0. Participants are 114 students from an university, who are major in mathematics education. Three creative products are chosen from mathematics-gifted class and science high school. First, we analyze the structural equation model of the concept of creative products on O'Quin and Besemer's study in the department of psychology. Through the confirmatory factor analysis, we confirm whether the structural equation model of the concept of creative products on O'Quin and Besemer's study is appropriate or not to use for the concept of creative products in mathematics. As a result of the confirmatory factor analysis, we confirm that it is not possible to use the hypothesized structural equation model of the concept of creative products: the value of is 353.195, 41 degrees of freedom. The RMSEA for the model is .172 , CFI is .781 and GFI is .790 which are not fit to limit and means the hypothesized structural equation model doesn't reflect reality of the data set gathered. Thus, it has become necessary to find a modified structure of the concept of creative products in mathematics. Second, the Creative product semantic scale in mathematics(MCPSS) has been developed based on the theoretical background through the exploratory factor analysis. The exploratory factor analysis is performed by using the Principal Components extraction, direct oblimin rotation. By using the three-factor format and orthogonal rotation, the three factors' cumulative percentage of variance is 37.316%(with eigenvalues of 11.167, 5.227, and 4.130). We decided to call the three factors novelty, resolution and elaboration & synthesis respectively based on advanced research, Besemer & Treffinger(1981), Besemer & O'Quin(1986, 1999), O'Quin & Besemer(1989) and Besemer(1998). By using the three-factor format in the first factor, novelty and orthogonal rotation, the three factors' cumulative percentage of variance is 56.372%(with eigenvalues of 6.233, 1.200, and 1.023). We call the factors subscales and the three factors are entitled to original, germinal and surprising, respectively. By using the two-factor format in the second factor, resolution and orthogonal rotation, the two factors' cumulative percentage of variance is 56.281%(with eigenvalues of 2.667 and 1.273). The two factors are designated by subscales, useful and valuable respectively. By using the three-factor format in the third factor, elaboration & synthesis and orthogonal rotation, the three factors' cumulative percentage of variance is 48.484%(with eigenvalues of 4.474, 1.738, and 1.060). We call the factors subscales and gives name organic, complex and well-crafted, respectively. The result of the exploratory factor analysis provides strong support for the construct validity of structure(the three factors and eight subscales) of the concept of creative products in mathematics and MCPSS. The structure of the concept of creative products in mathematics is composed of novelty, resolution, elaboration & synthesis as the three factors. Novelty considers newness in materials, processes, concepts, and methods of making the product. Resolution considers aspects of how well the product works or functions. Elaboration & synthesis describes stylistic components of the product. Making up three factors are eight subscales. These are, for novelty, original, germinal, and surprise; for resolution, valuable and useful; for elaboration & synthesis, organic, complex, well-crafted. The reliability of each of the subscales is assessed by using Cronbach's alpha. The mean alphas are found to be .879, .715, .792, respectively. The reliabilities of novelty, resolution, elaboration & synthesis and component subscales are judged to be reliable. MCPSS is an evaluation instrument designed to assess the creativity that is perceived to be manifested in mathematics products and formed as bi-polar adjective on 7-point scales and contained 33-items. Thus, we expect that MCPSS provide convenience to mathematics teachers who guide students to make creative products. Third, path diagram about structure of the concept of creative products in mathematics is founed through the exploratory factor analysis and confirmatory factor analysis. The path diagram about structure of the concept of creative products in mathematics include the three-factor covariances among the three factors which are .21, .44, .29, the eight regression coefficients between the dependent variables and the factor which indicate the power of explanation by subscales. The confirmatory factor analysis is to test the model by using the 257 data collected. CFA is used to estimate parameters and assess how well correlations that were reproduced, given the model specified, fit the set of correlations of the 257 data collected. Amos provides several fit indices, for this study , RMSEA, CFI, GFI are used. The value of is 40.683, 12 degrees of freedom. The RMSEA for the model is .097, CFI is .962 and GFI is .962 which are fit. The result shows that the three factor and eight subscales model are adequate to explain the data for creative products in mathematics.


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