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초등예비교사의 수학수업에서의 학습과제의 인지적 수준 분석

An analysis on the level of cognitive demands of mathematical tasks set up by pre-service elementary school teachers

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초록

본 연구는 초등예비교사가 수학수업에서 활용한 과제의특성을 살펴보았다. 이를 위해서 G교육대학교 3학년에 재학중인 2개반 학생들 중 4주간의 교육실습에서 수학수업을 배정받아 수업을 한 학생들 중 자신의 수업동영상, 수업계획서, 동영상 전사자료를 제출한 50명의 학생들을 연구대상으로 선정하였다. 수집된 자료를 바탕으로 예비교사가 수학수업시간에 활용한 과제의 출처, 과제의 수정여부, 수정방법, 과제의 인지적 요구 수준을 분석하였다.

Abstract

This study analyzed the characteristics of mathematical tasks including the level of cognitive demands set up by pre-service elementary school teachers. 50 pre-service teachers in G university of education who participated in their 4 weeks teaching practicum were selected as subjects. They planned and implemented mathematics lesson with their lesson plans. Lesson plans, video of their lessons, transcript of video were gathered and analyzed the characteristics of mathematical tasks used in their lesson. Through the analysis, several conclusions were drawn as follow. First, 78% of the subjects modified tasks in mathematics textbooks. Since modification or construction of mathematical tasks gives good chance for constructing mathematical task knowledge for teaching, more chance should be given to pre-service teachers to construct new tasks or modify tasks in mathematics textbooks. Second, types of modification done by pre-service teachers were categorized as number change(15.6%), situation change(78.1%) and material change(6.3%). As Chapman(2013) emphasized the importance of MtKT, pre-service teachers must have more MtKT by understanding the characteristics of mathematical tasks. Third, the level of cognitive demands required by mathematical tasks were relatively low. 74% of mathematical tasks was lower cognitive demands and only 26% was higher cognitive demands. The level of cognitive demands of tasks in mathematics textbooks tended to be lowered by the directions given right after the tasks were given. In this respect, the structure of mathematics textbooks need to be changed. *

참고문헌 (16)

  1. Arbaugh, F., "Analyzing mathematical tasks: Catalyst for change?", Journal of Mathematics Teacher Education, 8, pp.499~536 (2005)
  2. Artzt, A. F., "Becoming a reflective mathematics teacher" (2002), Lawrence Erlbaum Associates
  3. Chapman, O., "Mathematical-task knowledge for teaching", Journal of Mathematics Teacher Education, 16, pp.1~6 (2013)
  4. Doyle, W., "Academic work", Review of Educational Research, 53(2), pp.159~199 (1983)
  5. Doyle, W., "Work in mathematics classes : The context of students' thinking during instruction", Educational Psychologist, 23, pp.67~180 (1988)
  6. Hiebert, J., "어떻게 이해하지" (2004), 경문사
  7. Hiebert, J., "Instructional tasks, classroom discourse, and students'learning in second-grade arithmetic", American Educational Research Journal, 30, pp.393~425 (1993)
  8. Jones, D. L., "An examination of the levels of cognitive demand required by probability tasks in middle grades mathematics textbooks", Statistics Education Research Journal, 6(2), pp.4~27 (2007)
  9. Marx, R. W., "Learning from academic tasks", The Elementary School Journal, 88(3), pp.207~219 (1988)
  10. Meyer, R. D., "Lesson Study Research and Practice in Mathematics Education: Learning Together", pp.15~26 (2011), Springer
  11. National Council of Teachers of Mathematics, "Professional standards for teaching mathematics", National Council of Teachers of Mathematics, ~ (1991)
  12. Smith, M. S., "Selecting and creating mathematical tasks: From research to practice", Mathematics Teaching in the Middle School, 3, pp.344~350 (1998)
  13. Stein, M. K., "Mathematical tasks as a framework for reflection", Mathematics Teaching in the Middle School, 3, pp.268~275 (1998)
  14. 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)
  15. Stein, M. K., "Implementing standards-based mathematics instruction: A casebook for professional development" (2000), Teachers College Press
  16. Stein, M. S., "Instructional tasks and the development of student capacity to think and reason : An analysis of the relationship between teaching and learning in a reform mathematics project", Educational Research and Evaluation, 2, pp.50~80 (1996)

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