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    수학교수 -학습에서 생성 모델의 역할  :  비와 비율 지도를 중심으로

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    참고문헌 (Reference)

    1 Educational Corporation,나온교육연구소, "신문 속의 분수" 2004

    2 교육인적자원부, "수학 6-가" 2002

    3 Britannica Educational Corporation,나온교육연구소, "백분율은 백을좋아해" 2004

    4 Encyclopedia Britannica Educational Corporation, "늘었다 줄었다" 2004

    5 Kamii, "Young Children Continue to Reinvent Arithmetic-3rd Grade -" 1994

    6 Freudenthal, "Weeding and Sowing: Preface to a Science of Mathematics Education" 1978

    7 Middelton,J.A., "Using bar representations as a model for connecting concepts of rational number" 1998

    8 Treffers, "Three dimension a model of goal and theory description in mathematics instruction-The Wiskobas Project" 1987

    9 Van Reeuwijk, "The role of realistic situations in developing tools for" 1995

    10 Beishuizen, "The empty number line as a new model" 1999

    1 Educational Corporation,나온교육연구소, "신문 속의 분수" 2004

    2 교육인적자원부, "수학 6-가" 2002

    3 Britannica Educational Corporation,나온교육연구소, "백분율은 백을좋아해" 2004

    4 Encyclopedia Britannica Educational Corporation, "늘었다 줄었다" 2004

    5 Kamii, "Young Children Continue to Reinvent Arithmetic-3rd Grade -" 1994

    6 Freudenthal, "Weeding and Sowing: Preface to a Science of Mathematics Education" 1978

    7 Middelton,J.A., "Using bar representations as a model for connecting concepts of rational number" 1998

    8 Treffers, "Three dimension a model of goal and theory description in mathematics instruction-The Wiskobas Project" 1987

    9 Van Reeuwijk, "The role of realistic situations in developing tools for" 1995

    10 Beishuizen, "The empty number line as a new model" 1999

    11 Van den Heuvel-Panhuizen, "The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage" 2003

    12 Van Ameron, "Reinvention of Early Algebra" 2002

    13 Goffrey,Treffers, "Rational analysis of realistic mathematics education-the wiskobas program" 1985

    14 Encyclopaedia Britannica Educational Corp, "Per sense" Britannica 1997

    15 solving systems of equations, "Paper presented at the annual AERAconference in San Fransisco at the symposium 1-11" 1995

    16 van den Brink, "Numbers in contextual frameworks" 1984

    17 Brendefur,M.A,Shafer, "More or Less" 1998

    18 Doorman, "Modelling motion for the learning of calculus and kinematics" 2003

    19 Gravemeijer,K.P.E., "Instructional design for reform in mathematics education" 1997

    20 Cobb, "Information-processing psychology and mathematics education-A constructivist perspective" 1987

    21 Doorman, "How to guide students? A reinvention course on modeling movement" 2001

    22 Streefland, "Fractions in Realistic Mathematics Education" 1991

    23 The commission on youth protection, "Fraction Times" 1998

    24 Gravemeijer,Stephan, "Emergent models as an instructional design heuristic" 2002

    25 Gravemeijer,K.P.E., "Emergent modeling as the basis for an instructional sequence on data analysis" 2002

    26 Freudenthal, "Didactical phenomenology of mathematical structures" 1983

    27 Treffers, "Didactical background of a mathematics program for primary education" 1991

    28 Gravemeijer, "Developmental research as a research method" 1998

    29 Beishuizen, "Development of mathematical strategies and procedures up to 100" 1997

    30 Gravemeijer,Rainero,Vonk, "Developing realistic mathematics education" 1994

    31 Lesh, "Conceptual analysis of mathematical ideas and problem solving processes" 1985

    32 Schoenfeld, Alan H, "Cognitive science and mathematics education" Lawrence Erlbaum Associates 1987

    33 Lave, J, "Cognition in practice" 1998

    34 Empson,Levi, "Children's Mathematics : Cognitively Guided Instruction" 1999

    35 Dienes, "Building Up Mathematics" 1960

    36 Cobb,Wood T,Yackel E, "A constructivist alternative to the representational view of mind in mathematics education" 1992

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