Abstract

The purpose of this paper is to research the factors and the effects of immediacy in mathematics teaching and learning and mathematical problem solving. The factors of immediacy are visualization, functional fixedness and representatives. In special, students can apprehend immediately the clues and solution using the visual representation because of its properties of finiteness and concreteness. But the errors sometimes originate from visual representation which come from limitation of the visual representation. It suggests that students have to know conceptual meaning of the visual representation when they use the visual representation. And this phenomenon is the same in functional fixedness and representatives which are the factors of immediacy The methods which overcome the errors of immediacy is that problem solvers notice the limitation of the factors of immediacy and develop the meta-cognitive ability. And it means we have to emphasize the logic and the intuition in mathematical teaching and learning. Clearly, we can't solve all mathematical problems using only either the logic or the intuition.

주제어

#즉각성   #시각화   #기능적 고착화   #대표성   #수학 문제해결  

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1. Hwang, Sun-Wook ; Shim, Sang-Kil 2010. "A Study on Students' Responses to Non-routine Problems Using Numerals or Figures" 한국수학교육학회지. 시리즈 A: 수학교육, 49(1): 39~51  원문보기 상세보기