Electronic Proceedings
of the 12th Asian Technology Conference in Mathematics
Abstract for 12680
Using Computer Multimedia to Dissolve
Cognitive Conflicts of
Mathematical Proof
Authors: Chun-Yi Lee, Ming-Puu Chen
Affiliations: National Taiwan Normal University
Keywords:
This paper exemplified the design of an instructional support by
means of computer-multimedia to dissolve studentsˇ¦ 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.
Full paper will appear at the second issue of eJMT
(http://ejmt.mathandtech.org)