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.
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.
|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|
|Date accepted:||No date available|
|Date deposited:||No date available|
|Date of first online publication:||July 2004|
|Date first made open access:||No date available|
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