Models of students’ conceptions about the tangent line

Biza, Irene (2008) Models of students’ conceptions about the tangent line. In: Proceedings of the 11th International Conference on Mathematics Education (ICME), Topic Study Group 2, Learning and Cognition in Mathematics: Student formation of mathematical conceptions, notions, strategies, and beliefs. UNSPECIFIED, Monterrey, Mexico.

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Abstract

The results presented in this paper are a part of a doctoral study nearing completion which focuses on students’ conceptions about tangent lines. The study explores the ways in which students who have studied tangents in school in different contexts (Euclidean Geometry, Analytic Geometry and Analysis): (i) perceive properties that are not generally valid as defining conditions of the concept and (ii) create new, often not-valid, properties out of the fusion of information from across the different contexts. Data was collected through a questionnaire administered to 182 first year mathematics undergraduates in Greece at the very beginning of their studies. Here I exemplify from the data analysis in the course of which several models of the tangent line have emerged based on the above properties.

Item Type: Book Section
Faculty \ School: Faculty of Social Sciences > School of Education and Lifelong Learning
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Depositing User: Pure Connector
Date Deposited: 12 Jan 2016 16:01
Last Modified: 24 Feb 2019 01:00
URI: https://ueaeprints.uea.ac.uk/id/eprint/56260
DOI:

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