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Convergence of sequences and series : interactions between visual reasoning and the learner's beliefs about their own role.

Alcock, L. J. and Simpson, A. P. (2004) 'Convergence of sequences and series : interactions between visual reasoning and the learner's beliefs about their own role.', Educational studies in mathematics., 57 (1). pp. 1-32.

Abstract

This paper examines part of a set of students who were followed during their first-term, first-year studies in formal definition-based real analysis at a British university. It explores the approaches to problems about convergence of sequences and series made by students who have a tendency to include visual imagery in their reasoning. We explore links between the students' mathematical behavior in solving these problems and their perception of their roles as learners. We develop a theory in which the tendency to visualize, coupled with the students' view of their role, can be used to account for their mathematical behavior.

Item Type:Article
Additional Information:
Keywords:Advanced mathematical thinking, Beliefs, Convergence, Definitions, Grounded theory, Proof, Real analysis, Representations, Sequences, Visualization.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1023/B:EDUC.0000047051.07646.92
Record Created:10 Jan 2007
Last Modified:08 Apr 2009 16:26

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