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ID 43852
file
creator
Uegatani, Yusuke
NDC
Mathematics
abstract
This paper proposes a new framework for describing the quality of mathematical activities under radical constructivism. It is based on Lakatos' philosophy of science, instead of his philosophy of mathematics. We focus on a structural similarity between mathematical problem-solving activities and scientific research programs. While Lakatos 'philosophy of mathematics is only a model of a progressive activity, the new framework can distinguish between progressive and degenerative activities. To show its usefulness, we provide a sample analysis. Based on the analysis, we hypothesize that the zig-zag process of solving a mathematical problem is driven by a hard core: A set of one's unrevised assumptions that one would like to continue to maintain. The necessity of further research with the proposed framework is suggested.
description
Place; Szeged, HUNGARY Date; 3-7 August, 2016
journal title
Proceedings of the 40th Conference of the International Group for the Psychology of Mathematics Education
volume
Volume 4
start page
291
end page
298
date of issued
2016-10-15
publisher
PME
isbn
9781365463457
language
eng
nii type
Conference Paper
HU type
Conference Papers
DCMI type
text
format
application/pdf
text version
publisher
rights
Copyright (c) 2016 left to authors (Standard Copyright License)
department
Attached Schools
Graduate School of Education