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Article

전자저널 논문

2002; 12(4): 457-472

Published online November 30, 2002

Copyright © Korea Society of Education Studies in Mathematics.

A study on the algebraic thinking -From the perspective of 'process' and 'object' aspects-

과정-대상 측면에서 본 ‘대수적 사고’ 연구

김성준

Abstract

In this paper, we deal with the algebraic thinking from the perspective of ‘process’and ‘object’ aspects. Generally, mathematical concepts have come from the concrete process. We consider the origin of algebra as the arithmetic calculations. Also, the concept of school arithmetic is beginning from actions or procedures. However, in order to develop the alge- braic thinking and to apply this thinking, we have to see the history of algebraic thinking, and find this duality. Next we investigate various researches relating to the ‘process-object duality’. Theses studies suppose that the concept formation and thinking process should be started from the process-object duality. Finally, we reinterprete many difficulties in algebra - equals sign, variables, algebraic expressions, and linear equations, the principle of permanence of form- from the perspective of the process-object duality.

Keywordsprocess,object,algebraic thinking,process-object duality,과정,대상,대수적 사고,과정-대상의 이중성