THE ROLE OF REPRESENTATION TYPES IN PATTERN ACTIVITIES
Öz
In that study the type of patterns, the role representation types in mathematics, especially in pattern activities were discussed and some activity examples are given for students which have potential to develop their algebraic thinking skill requiring translation between representations such as symbolic to figural.
Anahtar Kelimeler
Kaynakça
- Ainsworth S. (2006). DeFT:A conceptual framework for considering learning with multiple representation. Learning and Instruction, 16, 183-198.
- Bassarear, T. (2008). Mathematics for elementary school teachers. (5th edition). USA: Brooks/Cole.
- Cai, J & Lester F. K. (2005). Solution representations and pedagogical representations in Chinese and U. S. classrooms. Journal of Mathematical Behavior, 24, 221-237.
- Cathcart, W. G., Pothier, Y. M., Vance, J. H. & Bezuk, N. S. 2003. Learning mathematics in elementary and middle schools. (3rd Ed. ). N.J. : Merrill/Prentice Hall. Fennell, F. S. & Rowan, T. (2001). Representation: An important process. Teaching and Learning Mathematics, 7(5), 288-292.
- Fox, J. (2005). Child-initiated mathematical patterning in the pre-compulsory years.In Chick, H. L. & Vincent, J. L. (Eds.). Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education, (Vol. 2 , pp. 313-320). Melbourne: PME.
- Frobisher, L & Threlfall, J. (1999). Teaching and assessing patterns in number in the primary years. In A. Orton (Ed.). Pattern in the teaching and learning of mathematics (pp.84-103). London and New York: Casse.
- Goldin G. & Shteingold, N. (2001).Systems of Representations and the Development of Mathematical Concepts. In Cuoco, A.A & Curcio, F. R. (Eds.). The Roles of Representation in School Mathematics. (pp. 1-23 ). Va: Reston Virginia, NCTM
- Janvier, B. D. & Bednarz, N. (1987). Pedagogical considerations concerning the problem of representation. Problems of representation in the teaching and learning of mathematics. Editor: Claude Janvier. New Jersey: Lawrence Erlbaum Associates.
- Lesh, R., Post, T., & Behr, M. (1987). Representations and translations among representations in mathematics learning and problem solving. In C. Janvier (Ed.), Problems of representation in the teaching and learning of mathematics (pp. 33-40). Hillsdale, NJ: Lawrence Erlbaum.
- Lin, F-L., Yang, K-L &Chen, C-Y.(2004). The features and relationships of reasoning, proving and understanding proof in number patterns. International Journal of Science and Mathematics Education, 2, 227–256.