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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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    https://www.riss.kr/link?id=A100768085

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    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.
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    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 pr...

    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.

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    참고문헌 (Reference)

    1 Hiebert, J., "어떻게 이해하지" 경문사 2004

    2 Doyle, W., "Work in mathematics classes : The context of students' thinking during instruction" 23 : 67-180, 1988

    3 Smith, M. S., "Selecting and creating mathematical tasks: From research to practice" 3 : 344-350, 1998

    4 National Council of Teachers of Mathematics, "Professional standards for teaching mathematics"

    5 Chapman, O., "Mathematical-task knowledge for teaching" 16 : 1-6, 2013

    6 Stein, M. K., "Mathematical tasks as a framework for reflection" 3 : 268-275, 1998

    7 Meyer, R. D., "Lesson Study Research and Practice in Mathematics Education: Learning Together" Springer 15-26, 2011

    8 Marx, R. W., "Learning from academic tasks" 88 (88): 207-219, 1988

    9 Hiebert, J., "Instructional tasks, classroom discourse, and students'learning in second-grade arithmetic" 30 : 393-425, 1993

    10 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" 2 : 50-80, 1996

    1 Hiebert, J., "어떻게 이해하지" 경문사 2004

    2 Doyle, W., "Work in mathematics classes : The context of students' thinking during instruction" 23 : 67-180, 1988

    3 Smith, M. S., "Selecting and creating mathematical tasks: From research to practice" 3 : 344-350, 1998

    4 National Council of Teachers of Mathematics, "Professional standards for teaching mathematics"

    5 Chapman, O., "Mathematical-task knowledge for teaching" 16 : 1-6, 2013

    6 Stein, M. K., "Mathematical tasks as a framework for reflection" 3 : 268-275, 1998

    7 Meyer, R. D., "Lesson Study Research and Practice in Mathematics Education: Learning Together" Springer 15-26, 2011

    8 Marx, R. W., "Learning from academic tasks" 88 (88): 207-219, 1988

    9 Hiebert, J., "Instructional tasks, classroom discourse, and students'learning in second-grade arithmetic" 30 : 393-425, 1993

    10 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" 2 : 50-80, 1996

    11 Stein, M. K., "Implementing standards-based mathematics instruction: A casebook for professional development" Teachers College Press 2000

    12 Stein, M. K., "Building student capacity for mathematical thinking and reasoning : An analysis of mathematical tasks used in reform classrooms" 33 (33): 455-488, 1996

    13 Artzt, A. F., "Becoming a reflective mathematics teacher" Lawrence Erlbaum Associates 2002

    14 Arbaugh, F., "Analyzing mathematical tasks: Catalyst for change?" 8 : 499-536, 2005

    15 Jones, D. L., "An examination of the levels of cognitive demand required by probability tasks in middle grades mathematics textbooks" 6 (6): 4-27, 2007

    16 Doyle, W., "Academic work" 53 (53): 159-199, 1983

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    연월일 이력구분 이력상세 등재구분
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    2013-01-01 등재 등재후보학술지 유지 (기타) KCI등재후보
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    2016 1.06 1.06 1.04
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    0.9 0.85 1.285 0.27
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