초등학교 3학년 학생의 수학적 문제 해결에서의 표상과 표상의 정교화 과정 분석 = An Analysis of Third Graders` Representations and Elaborating Processes of Representations in Mathematical Problem Solving

참고문헌 (Reference)

1 김선화, "표현의 문제에 대한 수학교육적 고찰 : 함수 영역을 중심으로" 서울대학교 대학원 1992

2 김남균, "초등학교 수학 교수-학습에서의 수학적 상징화에 관한 연구" 한국교원대학교 2002

3 "초등학교 교육과정 해설(Ⅳ) - 수학, 과학, 실과" 1999

4 "수학 학습에서의 표현 및 표상에 관한 연구 : 표상 모델 개발을중심으로" 1997

5 "the use of diagrams as tools for thinking The roles of representation in school mathematics" National Council of Teachers of Mathematics : 77 ~ 89,

6 "Working group on representations and mathematics visualization Teaching and Learning of Mathematics 16" 16 (4) 10 ~ 20, 1998

7 "Using a translation model for curriculum development and classroom instruction" 449 ~ 463, 2002

8 Bruner, Jerome S, "Toward a theory of instruction" Belknap Press Belknap Press of Harvard University Press, 1966

9 "The use of symbols and diagrams as indicators of mathematical cognition" 34 (5) 406 ~ 432, 2003

10 "The teaching of thinking and problem solving Handbook of percepion and cognition" 409 ~ 449, 1994

11 "The role of representations in developing mathematical understanding Theory into Practice 40" 40 (2) 118 ~ 127, 2001

12 "The micro- developmen of young children's problem solving strategies when tackling addition tasks Psychology of Mathematics Education 25" 25 (4) 391 ~ 399, 2001

13 "System of representations and the development of mathematical concepts The roles of representation in school mathematics pp National Council of Teachers of Mathematics" 1 ~ 23, 2001

14 "Representations in the mathematics classroom The culture of the mathematics classroom pp" 308 ~ 343, 1997

15 "Representation in mathematical learning and problem solving Handbook of international research in mathematics education" pp 197-218, 2002

16 "Representation as a vehicle for solving and communicating Mathematics Teaching in the Middle School 9" 9 (1) 38 ~ 43, 2003

17 "Representation and abstraction in young children's numerical reasoning The roles of representation in school mathematics pp National Council of Teachers of Mathematics" 24 ~ 34, 2001

18 "Preschoolers' developing knowledge of the pan balance From new representation to transformed problem solving" 31 ~ 93, 1993

19 "Pedagogical considerations concerning the problem of representation Problems of representation in the teaching and learning of mathematics pp" 109 ~ 122, 1987

20 "National Council of Teachers of Mathematics Principles and standards for school mathematics National Council of Teachers of Mathematics" 2000

21 "Key components of models and modeling Symbolizing and communicating in mathematics classrooms pp" 361 ~ 383, 2000

22 "It’s not just" 2002

23 Langrall,Swarford, "Grade 6 students' pre-instructional use ofequations to describe and represent problem situations" 31 89 ~ 112, 2000

24 "Geometry problem solving of Korean middle school students An analysis of representation and transfer The University of Pittsburgh" 1988

25 "From representations to symbolizing Comments on semiotics and mathematical learning Symbolizing and communicating in mathematics classrooms pp" 17 ~ 36, 2000

26 Izsak, A, "Exploring the use of new representations as a resource for teacher learning" 103 (1) 18-27, 2003

27 Lenchner, George, "Creative problem solving in school mathematics" Houghton Mifflin Co. 1983

28 "An important process for teaching and learning mathematics" 7 (5) 88 ~ 292, 2001

29 "An argument to include representation in standards 2000" 2001

30 "A versatile theory of visualization andsymbolization in mathematics Paper presented at the Commission Internationale pour l'?" 1994

31 "A models and modeling perspective on the role of small group learning activities" 317 ~ 336, 2003