The Relationship of Cognitive Attributes of Mathematics and Science

다국어 초록 (Multilingual Abstract)

The purpose of this study is to diagnose students’ cognitive attributes in mathematics and science based on the Fusion model, one of several Cognitive diagnostic models. The Cognitive diagnostic model measures several attributes from a single item and analyzes the results based on the fields of education evaluation and measurement theory. The test, composed of multiple-choice problems in mathematics and science, was administered to the eighth graders in a middle school located in Seoul. Using this data, this study examined the correlation of cognitive attributes for mathematics and science and attempted to identify the attributes that influence achievements in mathematics and science through regression analysis. The results suggest a significant correlation of cognitive attributes for both mathematics and science, as well as several abilities in mathematics that can help in solving scientific problems.

참고문헌 (Reference)

1 Goldberg, H., 26 (26): 22-24, 1989

2 김선희, "수학 평가 결과의 분석을 위한 인지 진단 이론의 활용" 대한수학교육학회 10 (10): 259-277, 2008

3 Anderson, J. O., "Using large-scale assessment datasets for research in science and mathematics education: Programme for international student assessment (PISA)"

4 DiBello, L., "Unified cognitive/psychometric diagnostic assessment likelihood-based classification techniques, In Cognitively Diagnostic Assessment" Lawrence Erlbaum Associate 361-389, 1995

5 Tatsuoka, K. K., "Toward integration of item response theory and cognitive error diagnoses, In Diagnostic monitoring of skills and knowledge acquisition" Lawrence Erlbaum Associates 1990

6 Mullis, I. V. S., "TIMSS 2007 International Mathematics Report: Findings from IEA’s Trends in International Mathematics and Science Study at the Fourth and Eighth Grades" Boston College 2008

7 Mullis, I. V. S., "TIMSS 2007 Assessment Framework"

8 Hartz, S., "Skills Diagnosis: Theory and Practice. User Manual for Arpeggio software" ETS 2002

9 Tatsuoka, K. K., "Rule space: An approach for dealing with misconceptions based on item response theory" 20 (20): 345-354, 1983

10 Wilhelm, J., "Pre-service mathematics teachers become full participants in inquiry investigations" 37 (37): 793-804, 2006

11 Basson, I., "Physics and mathematics as interrelated fields of thought development using acceleration as an example" 33 (33): 678-690, 2002

12 Tatsuoka, K. K., "Patterns of Diagnosed Mathematical Content and Process Skills in TIMSS-R Across a Sample of 20 Countries" 41 (41): 901-926, 2004

13 OECD, "PISA 2006 Science Competencies for Tomorrow's World. Volume 1: Analysis" OECD 2007

14 Templin, J. L., "Measurement of psychological disorders using cognitive diagnosis models" 11 : 287-205, 2006

15 House, P. A., "Integrating Mathematics and Science in the light of current reforms in Reform in Math and Science Education: Issues for the Classroom" Eisenhower National Clearinghouse 1997

16 Reiss, M., "Enhancing the participation, engagement and achievement of young people in science and mathematics education: introduction" 9 : 239-241, 2011

17 Embretson, S., "Diagnostic testing by measuring learning processes: Psychometric considerations for dynamic testing, In Diagnostic monitoring of skills and knowledge acquisition" Lawrence Erlbaum Associates 1990

18 Rupp, A. A., "Diagnostic measurement: Theory, methods, and application" Guilford Press 2010

19 Sherrod, S. E., "Developing science and math integrated activities for middle school students" 40 (40): 247-257, 2009

20 김선희, "Assessing Cognitive Attributes in the 8th grade Geometry" 대한수학교육학회 19 (19): 531-543, 2009

21 Thissen, D., "Are Tests Comprising Both Multiple-Choice and Free-Response Items Necessarily Less Unidimensional than Multiple-Choice Tests? An Analysis of Two Tests" 31 (31): 113-123, 1994

22 Tatsuoka, K. K., "Architecture of knowledge structure and cognitive diagnosis: A statistical pattern recognition and classification approach, In Cognitively Diagnostic Assessment" Lawrence Erlbaum Associates 1995

23 Song, M. Y, "Analysis and score reporting basesd on cognitive diagnostic models using the National Assessment of Educational Achievement" KICE 2011

24 Dogan, E., "An international comparison using a diagnostic testing model: Turkish students' profile of mathematical skills on TIMSS-R" 2008

25 von Davier, M., "A general diagnostic model applied to language testing data(PR-05-16)"

26 Hartz, S., "A Bayesian framework for the Unified Model for assessing cognitive abilities: blending theory with practice" The University of Illinois at Urbana-Champaign 2002