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2 이양미, "초등학교 3학년 학생의 수학적 문제 해결에서의 표상과 표상의 정교화 과정 분석" 한국수학교육학회 44 (44): 637-662, 2005
3 장혜원, "수학학습에서의 표현 및 표상에 관한 연구-표상모델 개발을 중심으로" 서울대학교 대학원 1997
4 한국교육개발원, "수학과 문제해결력 신장을 위한 수업 방법 개선 연구" 한국교육개발원 1985
5 심은영, "다면적 표상 기반 전략훈련이 수학 문장제 해결에 미치는 영향" 국민대학교 대학원 2006
6 Haylock, D. W., "Understanding in mathematics : Making connections" 98 : 54-56, 1982
7 Greeno, J. G., "Understanding and procedural knowledge in mathematics instruction" 12 (12): 262-283, 1978
8 Kiczek, R. D., "Tracing the origins and extensions of Michael's representation. in: The roles of representation in school mathematics" National council of Teachers of Mathematics 2001
9 Bruner, J. S., "Toward a theory of instruction" Oxford University Press 1967
10 Vygotsky, L. S., "Thinking and speech. in: The collected works of L. S. Vygotsky" Plenum Press 39-243, 1987
1 김선화, "표현의 문제에 대한 수학 교육적 고찰-함수영역을 중심으로" 서울대학교 대학원 1992
2 이양미, "초등학교 3학년 학생의 수학적 문제 해결에서의 표상과 표상의 정교화 과정 분석" 한국수학교육학회 44 (44): 637-662, 2005
3 장혜원, "수학학습에서의 표현 및 표상에 관한 연구-표상모델 개발을 중심으로" 서울대학교 대학원 1997
4 한국교육개발원, "수학과 문제해결력 신장을 위한 수업 방법 개선 연구" 한국교육개발원 1985
5 심은영, "다면적 표상 기반 전략훈련이 수학 문장제 해결에 미치는 영향" 국민대학교 대학원 2006
6 Haylock, D. W., "Understanding in mathematics : Making connections" 98 : 54-56, 1982
7 Greeno, J. G., "Understanding and procedural knowledge in mathematics instruction" 12 (12): 262-283, 1978
8 Kiczek, R. D., "Tracing the origins and extensions of Michael's representation. in: The roles of representation in school mathematics" National council of Teachers of Mathematics 2001
9 Bruner, J. S., "Toward a theory of instruction" Oxford University Press 1967
10 Vygotsky, L. S., "Thinking and speech. in: The collected works of L. S. Vygotsky" Plenum Press 39-243, 1987
11 Pyke, C. L., "The use of symbol, words, and diagram as indicators of mathematical cognition : a casual model" 34 (34): 406-432, 2003
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14 Lesh, R., "Representations and Translations among Representations in mathematics learning and problem solving. in: Problems of representation in the teaching and learning of mathematics" Lawrence Erlbaum 1987
15 Goldin, G., "Representation and the psychology of mathematics education:PartⅡ. Special issue" 17 (17): 1998
16 Goldin, G., "Representation and the psychology of mathematics education:PartⅠ. Special issue" 17 (17): 1998
17 Diezmann, C. M., "Promoting the use of diagrams as tools for thinking. in: The roles of representation in school mathematics" National council of Teachers of Mathematics 2001
18 Friedlender, A., "Promoting multiple representation in algebra. in: The roles of representation in school mathematics" National council of Teachers of Mathematics 2001
19 National Council of Teachers of Mathematics, "Principles and Standards for school mathematics" Author 2000
20 Goldin, G. A., "Perspectives on representation in mathematical learning and problem solving. in: Handbook of international research in mathematics education, 2nd Edition" Routledge 2008
21 Schoenfeld, A. H., "Learning to think mathematically : problem solving, meta-cognition, and sense making in mathematics. in: Handbook of research on mathematics teaching and learning" Macmillan Publishing Company 1992
22 Mayer, R. E., "Learnable aspects of problem solving : some examples. in: Application of cognitive psychology : problem solving, education, and computing" Routledge 1987
23 Polya, G., "How to solve it? : A new aspect of mathematical method" Doubleday & Company 2004
24 Swarfford, J. O., "Grade 6 Students' Pre-instructional Use of Equations to Describe and Represent Problem Situations. in: The roles of representation in school mathematics" National council of Teachers of Mathematics 2000
25 Cobb, P., "From representation to symbolizing : Comments on semiotics and mathematical learning. in: Symbolizing and communicating in mathematics classroom" Lawrence Erlbaum Associates 2000
26 National Council of Teachers of Mathematics, "Curriculum and evaluation for school mathematics" Author 1989
27 Lesh, R., "Concrptual models and applied mathematical problem-solving research. in: Acquisition of mathematics concepts & processes" Academic Press 1983
28 Goldin, G. A., "Chapter 3 : Epistemology, Constructivism, and Discovery Learning in Mathematics. in: Constructivist views on the teaching and learning of mathematics" NCTM 1990
29 Dreyfus, T, "Advanced mathematical thinking process. in: Advanced mathematical thinking" Kluwer Academic 1991
30 Pugalee, D. K., "A comparison of verbal and written descriptions of students' problem solving process" 55 : 27-47, 2004
31 Izsák, ""We want a statement that is always true"; Criteria for good algebraic representations and the development of modeling knowledge" 34 (34): 191-227, 2003