第10回算数・数学研修会

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1 , 18,,, pp ICME- The 9th In- ternational Congress on Mathematical Education, ICME ICME- Wittmann, Erich Ch. * , 10 (Wittmann, 2000)

2 Developing Mathematics Edu- cation in a Systemic Process ing (,2000) ing ( 1989a) 10 ( 1998a) 10

3 ( 1989b) 10 ( 1998b) 10 ( 1989c) 11 ( 1999a) 11 ( 1999b) (, 1999b), ( 1999c)

4 , ( 1999c) ( 1999d) ( ) ( 1999d) ( 1999d) (Galbraith & Haines 1997) ( )

5 ( )

6 ( ) ( )

7 E.) ( 1999d) ( ) ( 1970) 10 (1935 ) (1987) 1901 ( 34 ) Perry,J., The teaching of mathe- matics (Moore,E.H.), (Kline,F.) (Borel,

8 10 15 (Dewey, J.) (Bruner, J.) (Piaget, enactive representation iconic representation symbolic representation 1966) (Bruner

9 stage (Bruner 1963) (Bruner & 1963) (Dienes, Z. P.) (Dienes & 1977 pp.63-68) (Dienes & 1977) (Dienes& 1977 pp )

10 ( 6) OHP ( ) 1996 ( 1996)

11 (Bruner 1999) RME RME (1989) (Takahashi, Minato & Honma, 1993) Hans Freudenth OHP ( ) Mathematics Education ( RME) EIS Freudenthal Institute th Conference of the International Group for the

12 Psychology of Mathematics Education PME25 Summer Institute PSI RME RME RME RME (Gravemeijer, K., Cobb, P., Bowers, J. & Whitenack, J. 2000) (Gravemeijer, K., Cobb, P., Bowers, J. & Whitenack, J,2000) RME RME RME RME ( OHP 1996)

13 RME MiC RME The Mathematics in Context MiC (MiC 1998a) RME MiC ( 1996) MiC MiC OHP (MiC 1998a) MiC (MiC 1998b MiC 1998c)OHP wel- come.html ( ) x ( ) ( )

14 RME (MiC, 1998a) PSI RME Dr. Christos Mitsoullis

15 RME (2000) RME MiC ( 2002) 1883 Lucas, E. n 2

16 ( & 1994) ( 1989d) ( 1989d)

17 Britannica. MiC(1998b). Reflections on number. Cicago: Britannica. MiC(1998c). Triangles and beyond. Cicago: Britannica. (2002) Bruner,J.S.(1960) The process of edu & (1994) cation. Harvard Univ. Press: Cam- bridge. Bruner,J.S. & (1963) Bruner,J.S. & 1989a (1966) Bruner,J. (1999). 1989b 1989c Dienes,Z.P., & (1989d) (1977a) a Dienes,Z.P., & (1977b). 1998b. Galbraith,P.&Haines,C. (1997). Some 1999a mathematical characteristics of students entering applied mathe- 1999b matics degree courses. S.K. Houston,W.Blum,I.Huntley & N.T. Neill(Eds.), Teaching & Learning 1999c Mathematical Modeling (pp.77-89). 1999d Albion Publishing Limited: 1970 Hartonlls. Gravemeijer, K., Cobb, P., Bowers, J. & 1989 Whitenack, J. (2000). Symbolizing, Modeling, and Instructional Design. In P. Cobb, E. Yackel & K. (1996). McClain(Eds.), Symbolizing and Communicating in Mathematics Classrooms(pp ). Mahwah, NJ: Lawrence Erlbaum Associates MiC.(1998a). Teacher resource and implementation guide. Cicago: Takahashi,H., Minato,S.& Honma, M.

18 (1993). Formats and situations for solving mathematical story problems. In I.Hirabayashi & N.Nohda et al.(eds.) Proceedings of the 17th Conference of the International Group for the Psychology of Mathematics Education (pp ), Tsukuba: Japan. (2000) ( ) & ( ) 1987 pp Wittmann, Erich Ch.(2000) Developing Mathematics Education in a Systemic Process Wittmann, Erich Ch

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