중학교 수학 교과서에 제시된 기하영역의 수학 과제 분석
An analysis of mathematical tasks in the middle school geometry
1
조회
0
다운로드
35
인용
0
참고문헌
키워드
초록
The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the strand of geometry in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith(1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at high level and the rest at low level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.
Abstract
The purpose of this study was to examine and analyze the cognitive demand of the mathematical tasks suggested in the middle school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the strand of geometry in the textbooks. We adopted the framework for mathematical task analysis suggested by Stein & Smith(1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at high level and the rest at low level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures. In particular, the high level tasks were presented at the end of each chapter or unit for wrap up rather than as key resources.
참고문헌 (43)
- 권나영, "초․중등 수학과 교육과정 연구의 주제별 동향 분석", 수학교육, 50(4), pp.507~520 (2011), 한국수학교육학회
- 교육과학기술부, "수학교육 선진화 방안", 교육과학기술부 보도자료, ~ (2012)
- 교육인적자원부, "중학교 교육과정해설", 교육인적자원부, ~ (2007)
- 김구연, "The Analysis of Mathematics Curriculum Materials: Addition and Subtraction in Grade 3", 교육과정평가연구, 13(2), pp.59~78 (2010), 한국교육과정평가원
- 김민혁, "수학교사의 교과서 및 교사용 지도서 활용도 조사", 석사, 수학교육전공, pp.2012
- 박경미, "우리나라 수학교육의 문제점 진단을 위한 조사 연구", 수학교육, 50(1), pp.89~102 (2011), 한국수학교육학회
- 박선영, "국내외 수학교육 연구 동향 비교 분석", 수학교육, 50(3), pp.289~310 (2011), 한국수학교육학회
- 박경미, "중학교 수학" (2009), 두산동아
- 박경미, "중학교 수학" (2009), 두산동아
- 우정호, "중학교 수학 2" (2010), 두산동아
- 우정호, "중학교 수학 익힘책2" (2010), 두산동아
- 우정호, "중학교 수학 3" (2011), 두산동아
- 우정호, "중학교 수학 익힘책3" (2011), 두산동아
- 정상권, "중학교 수학 1" (2009), 금성출판사
- 정상권, "중학교 수학 익힘책 1" (2009), 금성출판사
- 정상권, "중학교 수학2" (2010), 금성출판사
- 정상권, "중학교 수학익힘책2" (2010), 금성출판사
- 박혜숙, "(중학교) 수학 3" (2011), 금성출판사
- 박혜숙, "(중학교) 수학 3" (2011), 금성출판사
- 최용준, "중학교 수학 1" (2009), 천재문화
- 최용준, "중학교 수학 익힘책1" (2009), 천재문화
- 최용준, "중학교 수학 2" (2010), 천재문화
- 최용준, "중학교 수학 익힘책2" (2010), 천재문화
- 최용준, "중학교 수학 3" (2011), 천재문화
- 최용준, "중학교 수학 익힘책 3" (2011), 천재문화
- 홍창준, "중학교 함수 단원의 수학과제 분석", 학교수학, 14(2), pp.213~232 (2012), 대한수학교육학회[DOI]
- Ball, D. L, "Reform by the book: What is-or might be-the role of curriculum materials in teacher learning and instructional reform?", Educational Researcher, 25(9), pp.6~8 (1996)
- Battista, M. T, "Highlights of research on learning school geometry, In Second handbook of research on mathematics teaching and learning", pp.91~108 (2007), Information Age
- Collopy, R, "Curriculum materials as a professional development tool: How a mathematics textbook affected two teachers' learning", Elementary School Journal, 103, pp.287~311 (2003)
- Doyle, W, "Academic work", Review of Educational Research, 53(2), pp.159~199 (1983)
- Henningsen, M, "Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning", Journal for Research in Mathematics Education, 28, pp.524~549 (1997)
- Hiebert, J, "Instructional, classroom discourse, and student's learning in second-grade arithmetic", American Educational Research Journal, 30, pp.393~425 (1993)
- National Council of Teachers of Mathematics, "Assessment Standards for school mathematics" (1995), National Council of Teachers of Mathematics
- National Council of Teachers of Mathematics, "Principles and standards for school mathematics" (2000), National Council of Teachers of Mathematics
- Rezat, S, "A Model of Textbook Use", Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education, 4, pp.409~416 (2006)
- Robitaille, D. F, "International studies of achievement in mathematics, In Handbook of Research on mathematics Teaching and Learning", pp.687~709 (1992), Macmillan
- Smith, M. S, "Selecting and creating mathematical: from research to practice", Mathematics Teaching in the Middle School, 3, pp.344~350 (1998)
- Stein, M. K, "The role of mathematics curriculum materials in large-scale urban reform, In Mathematics teachers at work: Connecting curriculum materials and classroom instruction", pp.37~55 (2009), Routledge
- Stein, M. K, "Building student capacity for mathematical thinking and reasoning. An analysis of mathematical used in reform classrooms", American Educational Research Journal, 33, pp.455~488 (1996)
- Stein, M. K, "How curriculum influences student learning, In Second handbook of research on mathematics teaching and learning", pp.319~369 (2007), Information Age
- Stein, M. K, "Mathematical tasks as a framework for reflection: From research to practice", Mathematics Teaching in the Middle School, 3, pp.268~275 (1998)
- Stein, M. K, "Implementing Standards-based mathematics instruction: A casebook for professional development" (2000), Teachers College Press
- Trafton, P. R, "Standards-based mathematics curriculum materials: A phrase in search of a definition", Phi Delta Kappan, 83(3), pp.259~264 (2001)