Title | Using Computer Multimedia to Dissolve Cognitive Conflicts of Mathematical Proof |

Author | Chun-Yi LEE and Ming-Puu CHEN |

Volume | 1 |

Number | 2 |

This paper exemplified the design of an instructional support by means of computer-multimedia to dissolve students’ cognitive conflicts during the process of a mathematical proof problem, *the pasture problem*. Cognitive conflicts occur when there are expectations which are not fulfilled. *The pasture problem* provides cognitive conflicts and encourages students to explore and bridge the gap between conjectures and proofs. In the beginning of the problem-solving process, students made a conjecture concerning the solution of the *pasture problem* and proposed a reason why it was true. The reason was often rooted in common sense or based on previous learning. Through multimedia-represented cognitive conflicts, students are more capable of visualizing and accepting the new conjecture. Then, it led them to construct a new explanation for this new conjecture naturally. It is believed that through the multimedia-supported exploration students were guided to use deductive reasoning, construct reasons to support the new conjecture, and be motivated to solve the *pasture problem*.