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Titlebook: Epistemological Foundations of Mathematical Experience; Leslie P. Steffe Book 1991 Springer-Verlag New York Inc. 1991 Lernen.Mathematica.M

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书目名称Epistemological Foundations of Mathematical Experience
编辑Leslie P. Steffe
视频video
丛书名称Recent Research in Psychology
图书封面Titlebook: Epistemological Foundations of Mathematical Experience;  Leslie P. Steffe Book 1991 Springer-Verlag New York Inc. 1991 Lernen.Mathematica.M
描述On the 26th, 27th, and 28th of February of 1988, a conference was held on the epistemological foundations of mathematical experience as part of the activities of NSF Grant No. MDR-8550463, Child Generated Multiplying and Dividing Algorithms: A Teaching Experiment. I had just completed work on the book Construction of Arithmetical Meanings and Strategies with Paul Cobb and Ernst von Glasersfeld and felt that substantial progress had been made in understanding the early numerical experiences of the six children who were the subjects of study in that book. While the book was in preparation, I was also engaged in the teaching experiment on mUltiplying and dividing algorithms. My focus in this teaching experiment was on investigating the mathematical experiences of the involved children and on developing a language through which those experiences might be expressed. However, prior to immersing myself in the conceptual analysis of the mathematical experiences of the children, I felt that it was crucial to critically evaluate the progress that we felt we had made in our earlier work. It was toward achieving this goal that I organized the conference. When trying to understand the mathemati
出版日期Book 1991
关键词Lernen; Mathematica; Mathematik/Lernmethoden; algebra; arithmetic; awareness; epistemology; experience; func
版次1
doihttps://doi.org/10.1007/978-1-4612-3178-3
isbn_softcover978-0-387-97600-6
isbn_ebook978-1-4612-3178-3Series ISSN 1431-7532
issn_series 1431-7532
copyrightSpringer-Verlag New York Inc. 1991
The information of publication is updating

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,7. The capacity , and the Painlevé Problem,ent notions of rationality. In particular, rationality is sometimes wittingly, more often unthinkingly, equated with logic, and the nurturance of rationality is correspondingly equated with the teaching of valid logical rules. I wish to argue that logic cannot be a valid explication of rationality a
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Roy Streit,Robert Blair Angle,Murat Efean and frequently do discover mathematical properties and invent mathematical rules through experience and practice, substantially independently from direct instruction. Further, it will be argued that a crucial role of repetitive experience is that it can cause the construction and reorganization o
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