수학과 평가 문항의 역량 및 표현 형식 특성 분석
Feature analysis for competency and representation type of mathematics assessments
6
조회
0
다운로드
1
인용
0
참고문헌
키워드
초록
본 연구의 목적은 수학과 교육과정에 기반한 평가 문항을 출제할 때 핵심적으로 고려되는 수학 역량 및 표현 형식특성을 규명하고, 수학과 평가 문항에서 수학 역량 및 표현 형식 특성이 나타나는 양상을 밝히는 것이다. 선행 연구분석 및 2차에 걸친 타당성 조사를 통해, 수학과 교육과정에 기반한 평가 문항의 특성으로 수학 역량 범주는 12가지, 표현 형식 범주는 8가지를 추출하고, 이 특성들로 구성된 문항 특성 분석틀을 개발하였다. 또한 문항 특성 분석틀을활용하여 2019년 국가수준 학업성취도 평가 문항을 분석한 결과, 중 고등학교의 수학 역량 및 표현 형식 특성에 대한출제 경향에 차이가 있음을 밝혔다.
Abstract
The purpose of this study is developed the Item Feature Analysis (IFA) frameworks for curriculum-based assessments, focusing on Math competency and representation in secondary schools and implemented the IFA in National Assessment of Educational Achievement. To conduct the study, previous studies were analyzed, and feasibility studies were conducted twice. As a result of the study, we structured the IFA framework based on the 2015 revised mathematics curriculum in Korea and developed a method to analyze the characteristics of the math items. The results of structuring the framework for math included two categories: math competency in the content aspects, and representation type in the formal aspects. Specifically, 12 features of math competency and 8 features of representation type were identified, and an item feature analysis framework composed of these features was developed. The math competency was developed based on the subject competency of 2015 national curriculum. Math assessments in high schools, which have been changed to the competency-based assessments, had more frequency of the feature of math competency compared to middle schools. In this study, implemented the IFA in National Assessment of Educational Achievement and explored the way of ensuring the validity. These have been proved as critical applications for ensuring the validity of curriculum-based student assessment as well as building a tool for assessment.
참고문헌 (29)
- AERA, "Standards for educational and psychological testing", AERA, ~ (2014)
- Baker, E. L., "Mathematical reasoning project quantitative analyses results : Grades 4, 8, and 11", UCLA, CRESST, ~ (2015)
- Baker, E. L., "Feature analysis approach: uses for national and international assessments", Presented to the Chilean Delegates (2019)
- Bruner, J. S., "Toward a theory of instruction" (1966), Belkapp Press
- Choi, K., "Feature Analysis: An Introduction", ~ (2019)
- CRESST, "ELA and Math features_tentative list", ~ (2020)
- A Study on the Development of National Assessment of Educational Achievement according to the 2015 Revised National Curriculum, "Dong, H. G.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation RRE 2018-4 (2018)
- Jang, H. W., "A study on the epresentations in mathematics learning", Doctor, pp.1997
- Jonassen, D. H., "Learning to Solve Problems : A Handbook for Designing Problem- Solving Learning Environments" (2011), Routledge
- 고호경, "고등학교 수리영역 시험의 난이도 예측 요인 분석", 한국학교수학회논문집, 10(1), pp.113~127 (2007), 한국학교수학회
- 김은현, "수학과 교과역량으로서의 정보처리 능력의 해석과 적용 : 2015 개정 중학교 수학 교과서를 중심으로", 수학교육, 59(4), pp.389~403 (2020), 한국수학교육학회[DOI]
- 권나영, "중등학교 수학교사의 평가에 대한 인식 조사", 수학교육, 59(4), pp.295~312 (2020), 한국수학교육학회[DOI]
- Lawshe, C. H., "A Quantitative Approach to Content Validity", Personnel Psychology, 28, pp.563~575 (1975)
- Study of Item Difficulty Prediction in College Scholastic Ability Test – the areas of Korean, Mathe, and English -, "Lee, J. S.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation RRE-2002-14 (2003)
- Lee, J. S., "Delphi method" (2006), kyoyookbook
- Analysis of the National Assessment of Educational Achievement (NAEA) 2019 results –High school mathematics-, "Lee, K. S.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation ORM 2020-27 (2020)
- A Study on the Development plan of National Assessment of Educational Achievement according to the 2015Revised National Curriculum, "Lee, M. E.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation CRE 2017-8 (2017)
- 이원석, "타당도 분석을 위한 평가적 접근 모형: 통합적 관점", 교육평가연구, 22(4), pp.1079~1099 (2009), 한국교육평가학회
- 이양미, "초등학교 3학년 학생의 수학적 문제 해결에서의 표상과 표상의 정교화 과정 분석", 수학교육, 44(4), pp.637~662 (2005), 한국수학교육학회
- Lesh, R., "Acquisition of Mathematics Concepts and Processes" (1983), Academic press
- Feature analysis qualitative and quantitative results for tests of mathematics and english language arts, Grades 4, 8, and 11, "Madni, A.", UCLA, CRESST, ~ (2015)
- Meyer, M. R., "The Role of Representation in School Mathematics", pp.238~250 (2001), National Council of Teachers of Mathematics
- , 2015
- 박지현, "수학과 교육과정 성취기준에 대한 중학생의 숙달도 분석", 수학교육학연구, 30(3), pp.553~573 (2020), 대한수학교육학회
- Analysis of the National Assessment of Educational Achievement (NAEA) 2019 results –Middle school mathematics-, "Park, J. H.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation ORM 2020-23-3 (2020)
- Feature analysis approach for improving validity of student assessments, "Park, J. H.", Korea Institute for Curriculum and Evaluation, ~, pp.Korea Institute for Curriculum and Evaluation RRE 2020-1 (2020)
- 2015 revised mathematics curriculum design development studyⅡ, "Park, K. M.", KOFAC, ~, pp.KOFAC BD15120005 (2015)
- 박문환, "대학수학능력시험 난이도 관련 변인 탐색", 수학교육학연구, 14(1), pp.71~88 (2004), 대한수학교육학회
- Seong, T., "Modern Fundamental Statistics : Understanding and Application" (2016), Hakjisa