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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/8869

Title: First year mathematics undergraduates’ settled images of tangent line
Authors: Biza, Irene
Zachariades, Theodossios
Keywords: Analysis
Tangent line
Concept image
Concept definition
Generalization
Transition to university studies
University entrance examination
Issue Date: 2010
Publisher: © Elsevier
Citation: BIZA, I. and ZACHARIADES, T., 2010. First year mathematics undergraduates’ settled images of tangent line. The Journal of Mathematical Behavior, 29 (4), pp. 218-229
Abstract: This study concerns 182 first year mathematics undergraduates’ perspectives on the tangent line of function graph in the light of a previous study on Year 12 pupils’ perspectives. The aim was the investigation of tangency images that settle after undergraduates’ distancing from the notion for a few months and after their participation in university admission examination. To this end we related the performances of the undergraduates and the pupils in the same questions of a questionnaire; we classified the undergraduates in distinct groups through Latent Class Analysis; and, we examined this classification according to the Analytical Local, Geometrical Global and Intermediate Local perspectives on tangency we had identified among pupils. The findings suggest that more undergraduates than pupils demonstrated intermediate perspectives on tangency. Also, the undergraduates’ settled images were influenced by persistent images about tangency and their prior experience in the context of preparation for and participation in the examination.
Description: This article was published in the serial, The Journal of Mathematical Behavior [© Elsevier]. The definitive version is available at: http://www.sciencedirect.com/science/article/pii/S0732312310000556
Version: Accepted for publication
DOI: 10.1016/j.jmathb.2010.11.001
URI: https://dspace.lboro.ac.uk/2134/8869
Publisher Link: http://www.sciencedirect.com/science/article/pii/S0732312310000556
ISSN: 0732-3123
Appears in Collections:Published Articles (Mathematics Education Centre)

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