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An Analysis of the Mathematical Tasks in the Korean Seventh Grade Mathematics Textbooks and Workbook

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The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student’s self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with “cognitive expectation”, “level of cognitive demand”, “and “response types”. Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117–142] to make them suitable for the function section at the seventh grade.

Abstract

The Korean mathematical curriculum has been changed three times during the resent five years. It led to changes in textbook system. In the 2007 revised mathematics curriculum, workbook was developed focusing on student’s self-oriented learning, effective practice in differentiated classroom, and mathematics problem solving considering individual difference. This paper examines the characteristics of the tasks and the way the tasks are organized in the textbooks and the workbook in accordance with the 2007 revised mathematics curriculum; comparing with the function section before and after the amendment. Researchers examine whether the textbook and workbook were accomplished the purpose with “cognitive expectation”, “level of cognitive demand”, “and “response types”. Researchers revised framework of [Son, J. W. & Senk, S. (2010). How reform curricula in the USA and Korea present multiplication and division of fraction. Educ. Stud. Math 74(2), 117–142] to make them suitable for the function section at the seventh grade.

참고문헌 (14)

  1. Cho, H, "An Analysis of the Mathematical Tasks in the Korean Seventh Grade Mathematics Textbooks and Workbook", KSME 2012 Spring Conference on Mathematics Education held at Seoul Nat’l University, pp.333~345 (2012)
  2. Doyle, W, "Academic work", Review of Educational Research, 53(2), pp.159~199 (1983)
  3. Jone, D. L, "An examination of the level of cognitive demand required by probability tasks in middle grades mathematics textbooks", Statistics Education Research Journal, 6(2), pp.4~27 (2007)
  4. Kang, J. E, "An international comparative study on statistics section presented in mathematics textbook in middle schools: cases in Korea, U.S. and Singapore", 석사, pp.2007
  5. Kim, S. H., "Analysis of cognitive demands of tasks as set up and implemented in elementary mathematics classrooms", Korea National University of Education (2005)
  6. Li, Y, "A comparison of problems that follow selected content presentations in American and Chinese mathematics textbooks", J. Res. Math. Educ, 31(2), pp.234~241 (2000)
  7. National Council of Teachers of Mathematics (NCTM), "Principles and standards for school mathematics" (2000), NCTM
  8. Son, J. W, "How reform curricula in the USA and Korea present multiplication and division of fraction", Educ. Stud. Math, 74(2), pp.117~142 (2010)
  9. Stein, M. K, "Building Student Capacity for Mathematical Thinking and Reasoning: An Analysis of Mathematical Tasks Used in Reform Classrooms", American Educational Research Journal, 33(2), pp.455~488 (1996)
  10. Stein, M. K, "Implementing standards-based mathematics instruction: a casebook for professional development" (2000), Teachers College Press
  11. 서보억, "중학교 수학익힘책 도입 과정에 대한 문헌 분석 및 개선 방안 탐색", 학교수학, 13(2), pp.287~305 (2011), 대한수학교육학회
  12. Ubuz, B, "Exploring the quality of the mathematical tasks in the new Turkish elementary school mathematics curriculum guidebook: the case of algebra", ZDM, (42), pp.483~491 (2010)
  13. Webb, N. L, "Research monograph No. 18: Alignment of science and mathematics standards and assessments in four states" (1999), National Institute for Science Education
  14. Webb, N. L, "An analysis of the alignment between mathematics standards and assessments for three states", the annual meeting of the American Educational Research Association (2002)

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