2023-11-29T19:17:35Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00018633
2022-12-14T04:30:42Z
150:151
Proof problems with diagrams: An opportunity for experiencing proofs and refutations
Komatsu, Kotaro
Tsujiyama, Yosuke
Sakamaki , Aruta
Koike, Norio
It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics classrooms. This paper analyzes proof problems with diagrams as an appropriate task for this mathematical action, and illustrates, with a sequence of three lessons in the eighth grade, that a certain type of such problems can provide students with an opportunity to engage in this action.
Article
For the Learning of Mathematics. 34(1):36-42 (2014)
journal article
FLM Pub. Co
2014-03
application/pdf
For the Learning of Mathematics
1
34
36
42
0228-0671
AA10622771
https://soar-ir.repo.nii.ac.jp/record/18633/files/FLM_34_1_36.pdf
eng