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

Chun Yi Lee, Ming Puu Chen

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalTeaching Mathematics and its Applications
Volume27
Issue number1
DOIs
Publication statusPublished - 2008 Mar

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student
Universality
Experiment
Conflict
experience
cause
Experience
experiment
teacher
Necessity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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