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Understanding Understanding Mathematics
Author(s) -
Michener Edwina Rissland
Publication year - 1978
Publication title -
cognitive science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.498
H-Index - 114
eISSN - 1551-6709
pISSN - 0364-0213
DOI - 10.1207/s15516709cog0204_3
Subject(s) - representation (politics) , computer science , management science , cognitive science , mathematics education , mathematics , psychology , engineering , politics , political science , law
In this paper we look at some of the ingredients and processes involved in the understanding of mathematics. We analyze elements of mathematical knowledge, organize them in a coherent way and take note of certain classes of items that share noteworthy roles in understanding. We thus build a conceptual framework in which to talk about mathematical knowledge. We then use this representation to describe the acquisition of understanding. We also report on classroom experience with these ideas.