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Title: Independent study workbooks for proofs in group theory
Authors: Alcock, Lara
Brown, Gavin
Dunning, Clare
Keywords: Undergraduate mathematics
Reading comprehension
Task design
Proof comprehension
Study habits
Issue Date: 2015
Publisher: © Springer International Publishing
Citation: ALCOCK, L., BROWN, G. and DUNNING, C., 2015. Independent study workbooks for proofs in group theory. International Journal of Research in Undergraduate Mathematics Education, 1 (1), pp.3-26.
Abstract: This paper describes a small-scale research project based on workbooks designed to support independent study of proofs in a first course on abstract algebra. We discuss the lecturers’ aims in designing the workbooks, and set these against a background of research on students’ learning of group theory and on epistemological beliefs and study habits in higher education. We organise our analysis of student responses around three emerging themes: 1) structured support provided by the workbooks, 2) productive forced study of lecture notes, and 3) engaging with proofs. Discussion of our data in terms of these themes suggests several considerations for the design of tasks for independent study of advanced mathematics.
Description: The final publication is available at Springer via http://dx.doi.org/10.1007/s40753-015-0009-7
Version: Accepted for publication
DOI: 10.1007/s40753-015-0009-7
URI: https://dspace.lboro.ac.uk/2134/17921
Publisher Link: http://dx.doi.org/10.1007/s40753-015-0009-7
ISSN: 2198-9745
Appears in Collections:Published Articles (Mathematics Education Centre)

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