Bridging the gap between mathematical conjecture and proof through computer-supported cognitive conflicts

Chun Yi Lee, Ming Puu Chen

研究成果: 雜誌貢獻文章

3 引文 斯高帕斯(Scopus)

摘要

In many mathematical problems, students can feel that the universality of a conjecture or a formula is validated by their experiment and experience. In contrast, students generally do not feel that deductive explanations strengthen their conviction that a conjecture or a formula is true. In order to cope up with students' conviction based only on empirical experience and to create a need for deductive explanations, we developed a problem-solving activity with technology support intended to cause cognitive conflict. In this article, we describe the process conducted for this activity that led students to contradictions between conjectures and findings. The teacher could create familiar problem-solving situations and use students' naïve inductive approaches to make students think mathematically and establish the necessity for proof via computer support.

原文英語
頁(從 - 到)1-10
頁數10
期刊Teaching Mathematics and its Applications
27
發行號1
DOIs
出版狀態已發佈 - 2008 三月

ASJC Scopus subject areas

  • Mathematics(all)

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