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    유사 문제 해결에서 구조적 유사성, 분석적 활동 그리고 비교 활동의 역할 = The Roles of Structural Similarity, Analytic Activity and Comparative Activity in Stage of Similar Mathematical Problem Solving Process

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

    It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teaching-learning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.
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    It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of ...

    It is the aim of this paper to find the requisites for the target problem solving process in reference to the base problem and to search the roles of those. Focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process, we tried to find the roles of them. We observed closely how four students solve the target problem in reference to the base problem. And so we got the following conclusions. The insight of structural similarity prepare the ground appling the solving method of base problem in the process solving the target problem. And we knew that the analytic activity can become the instrument which find out the truth about the guess. Finally the comparative activity can set up the direction of solution of the target problem. Thus we knew that the insight of structural similarity, the analytic activity and the comparative activity are necessary for similar mathematical problem to solve. We think that it requires the efforts to develop the various programs about teaching-learning method focusing on the structural similarity, analytic activity and comparative activity in stage of similar mathematical problem solving process. And we also think that it needs the study to research the roles of other elements for similar mathematical problem solving but to find the roles of the structural similarity, analytic activity and comparative activity.

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    참고문헌 (Reference)

    1 교육과학기술부, "초등학교 교육과정 해설(Ⅳ):수학,과학,실과" 교육과학기술부 2007

    2 이종희, "중학생을 대상으로 한 대수 문장제 해결에서의 유추적 전이" 한국수학교육학회 42 (42): 353-368, 2003

    3 박현정, "중학생들이 수학 문장제 해결 과정에서 구성하는 유사성 분석" 대한수학교육학회 16 (16): 115-138, 2006

    4 이종희, "중학생들의 유추에 의한 수학적 문제 해결 과정 : 사상의 명료화를 중심으로" 한국수학교육학회지 16 : 245-267, 2003

    5 전영배, "유사 문제 해결에서 구조적 유사성의 인식" 한국수학교육학회 50 (50): 1-12, 2011

    6 Polya,G, "어떻게 문제를 풀 것인가" 천재교육 1997

    7 Polya,G, "수학과 개연추론 Ⅰ권 : 수학에서의 귀납과 유추" 교우사 2003

    8 Bassok,M, "Two types of reliance on correlations between content and structure in reasoning about word problems in Mathematical reasoning: Anaogies, metaphors, and images" Erlbaum 221-246, 1997

    9 Lobato,J, "Transfer reconceived: How 'sameness' is produced in mathematical activity" University of California, Berkeley 1997

    10 Greeno, J. G, "Transfer of situated learning in Transfer on trial: Intelligence, cognition, and instruction" Ablex 99-167, 1993

    1 교육과학기술부, "초등학교 교육과정 해설(Ⅳ):수학,과학,실과" 교육과학기술부 2007

    2 이종희, "중학생을 대상으로 한 대수 문장제 해결에서의 유추적 전이" 한국수학교육학회 42 (42): 353-368, 2003

    3 박현정, "중학생들이 수학 문장제 해결 과정에서 구성하는 유사성 분석" 대한수학교육학회 16 (16): 115-138, 2006

    4 이종희, "중학생들의 유추에 의한 수학적 문제 해결 과정 : 사상의 명료화를 중심으로" 한국수학교육학회지 16 : 245-267, 2003

    5 전영배, "유사 문제 해결에서 구조적 유사성의 인식" 한국수학교육학회 50 (50): 1-12, 2011

    6 Polya,G, "어떻게 문제를 풀 것인가" 천재교육 1997

    7 Polya,G, "수학과 개연추론 Ⅰ권 : 수학에서의 귀납과 유추" 교우사 2003

    8 Bassok,M, "Two types of reliance on correlations between content and structure in reasoning about word problems in Mathematical reasoning: Anaogies, metaphors, and images" Erlbaum 221-246, 1997

    9 Lobato,J, "Transfer reconceived: How 'sameness' is produced in mathematical activity" University of California, Berkeley 1997

    10 Greeno, J. G, "Transfer of situated learning in Transfer on trial: Intelligence, cognition, and instruction" Ablex 99-167, 1993

    11 Bassok,M, "Transfer of domain-specific problem-solving procedures" 16 (16): 522-533, 1990

    12 Gentner, D, "The roles of similarity in transfer: Separating retrievability from inferential soundness" 25 (25): 524-575, 1993

    13 Dooren, W. V, "The impact of preservice teachers' content knowledge on their evaluation of students' strategies for solving arithmetic and algebra word problems" 33 (33): 319-351, 2002

    14 Wagner,J.F, "The Construction of similarity: context sensitivity and the transfer of mathematical knowledge" University of California 2003

    15 Chinnappan,M, "Schemas and mental model in geometry problem solving" 36 (36): 201-217, 1998

    16 Clfareill,V, "Representation processes in mathematical problem solving" 1993

    17 NCTM, "Principles and standards for school mathematics" NCTM 2000

    18 Bassok, M, "Pragmatic knowledge and conceptual structure: Determinants of transfer between quantitative domains in Transfer on trial: Intelligence, cognition, & instruction" Ablex 68-98, 1993

    19 Lawson, M. J, "Knowledge connectedness in geometry problem solving" 31 (31): 26-43, 2000

    20 Chi, M. T. H, "Expertise in problem solving in Advances in the psychology of human intelligence" Erlbaum 7-75, 1982

    21 Reed,S.K, "A schema-based theory of transfer in Transfer on trial: Intelligence, cognition, and instruction" Ablex 39-67, 1993

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