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ID 46414
file
creator
Hayata, Toru
Uegatani, Yusuke
NDC
Education
abstract
The purpose of this study is to identify and empirically corroborate a fundamental situation (Brousseau, 1997) for constructing “proof by contradiction.” We identified the four elements of a fundamental situation: i) obtaining strong conviction; ii) negating the given proposition naturally without being aware of the assumption; iii) finding a contradiction easily; and iv) noticing the origin of the contradiction. Based on this study, a new research question arises: How can students construct “proof by contradiction” using teacher support?
description
This work was partially supported by JSPS KAKENHI Grant Number 17H00147.
Place; Umeå, SWEDEN Date; 3-8 July, 2018
journal title
Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education
volume
Volume 3
start page
43
end page
50
date of issued
2018-07-12
publisher
PME
language
eng
nii type
Conference Paper
HU type
Conference Papers
DCMI type
text
format
application/pdf
text version
publisher
rights
Copyright © 2018 left to the authors. All rights reserved.
department
Attached Schools