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ERIC Number: EJ1049699
Record Type: Journal
Publication Date: 2015-Feb
Pages: 18
Abstractor: As Provided
ISSN: ISSN-0013-1954
The Visible and the Invisible: Mathematics as Revelation
Roth, Wolff-Michael; Maheux, Jean-François
Educational Studies in Mathematics, v88 n2 p221-238 Feb 2015
Mathematics educators have shown increasing interest in theorizing knowing and learning as something alive or as something that comes alive through the involvement of the body. Almost all current efforts attempt doing so by focusing on the body in which the otherwise invisible living being exhibits itself, thereby failing to consider everything that is available only in pure immanence. One advance, however, exists in the taking up of the ideas of mathematical philosopher G. Châtelet, who focuses attention on the virtual. In this study, we contribute to the further development of this line of work, linking it to the phenomenological studies of the role of the invisible in painting. The invisible and whatever precedes mathematical insight inherently cannot be the object of intention: doing mathematics becomes a revelation and mathematics is the revealed. We address two major shortcomings in previous work: (a) the integration of forces as immanent rather than external and (b) the passive-affective dimension, which allows the new to be received and which therefore is generative, transcending the limitations of agency, which only repeats forms that already exist. We develop and thereby contextualize our advance by means of an in-depth analysis of an episode where a second-grade student finds herself having made a square from tangram shapes.
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Publication Type: Journal Articles; Reports - Research
Education Level: Grade 2; Primary Education; Elementary Education; Early Childhood Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A