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ERIC Number: EJ999481
Record Type: Journal
Publication Date: 2013-Jun
Pages: 21
Abstractor: As Provided
Reference Count: N/A
ISSN: ISSN-0732-3123
Teachers' Conceptions of Tangent Line
Paez Murillo, Rosa Elvira; Vivier, Laurent
Journal of Mathematical Behavior, v32 n2 p209-229 Jun 2013
In order to study the conceptions, and their evolutions, of the tangent line to a curve an updating workshop which took place in Mexico was designed for upper secondary school teachers. This workshop was planned using the methodology of cooperative learning, scientific debate and auto reflection (ACODESA) and the conception-knowing-concept model developed mainly by Balacheff. In order to initiate the conceptions reorganization, an initial activity was made in the graphic frame; it seems optimal to start the debates without leading participants to failure. The mathematical core of the workshop was formed by an algebraic method to find tangents to algebraic curves which is close to Descartes' method. The ACODESA methodology allowed some intense debates mainly concerning the local character of a tangent, generating the teachers' cognitive unbalance which is a starting point for the refinement or transformation of their conceptions. On the other hand, the conception-knowing-concept model allows to understand the conceptions of participants and to analyze the evolution of their knowings. (Contains 11 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Mexico