숫자 또는 도형을 사용하여 제시된 비정형적인 문제에서 학생들의 반응에 대한 연구A Study on Students' Responses to Non-routine Problems Using Numerals or Figures
- Other Titles
- A Study on Students' Responses to Non-routine Problems Using Numerals or Figures
- Authors
- 황선욱; 심상길
- Issue Date
- Feb-2010
- Publisher
- 한국수학교육학회
- Keywords
- numeral; figure; non-routine problem; intuition; representation; left brain and right brain; 숫자; 도형; 비정형적 문제; 직관; 표상; 좌뇌와 우뇌
- Citation
- 수학교육, v.49, no.1, pp.39 - 51
- Journal Title
- 수학교육
- Volume
- 49
- Number
- 1
- Start Page
- 39
- End Page
- 51
- URI
- http://scholarworks.bwise.kr/ssu/handle/2018.sw.ssu/14970
- ISSN
- 1225-1380
- Abstract
- The purpose of this article is to study students' responses to non-routine problems which are presented by using solely numerals or symbolic figures. Such figures have no mathematical meaning but just symbolical meaning. Most students understand geometric figures more concrete objects than numerals because geometric figures such as circles and squares can be visualized by the manipulatives in real life. And since students need not consider (unvisible) any operational structure of numerals when they deal with (visible) figures, problems proposed using figures are considered relatively easier to them than those proposed using numerals.
Under this assumption, we analyze students' problem solving processes of numeral problems and figural problems, and then find out when students' difficulties arise in the problem solving process and how they response when they feel difficulties. From this experiment, we will suggest several comments which would be considered in the development and application of both numerical and figural problems.
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