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Independent study workbooks for proofs in group theory
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 theor...
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2015
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Online Access: | https://hdl.handle.net/2134/17921 |
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author | Lara Alcock Gavin Brown Clare Dunning |
author_facet | Lara Alcock Gavin Brown Clare Dunning |
author_sort | Lara Alcock (1384308) |
collection | Figshare |
description | 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. |
format | Default Article |
id | rr-article-9368300 |
institution | Loughborough University |
publishDate | 2015 |
record_format | Figshare |
spelling | rr-article-93683002015-01-01T00:00:00Z Independent study workbooks for proofs in group theory Lara Alcock (1384308) Gavin Brown (281874) Clare Dunning (7157930) Undergraduate mathematics Textbooks Reading comprehension Task design Proof comprehension Study habits 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. 2015-01-01T00:00:00Z Text Journal contribution 2134/17921 https://figshare.com/articles/journal_contribution/Independent_study_workbooks_for_proofs_in_group_theory/9368300 CC BY-NC-ND 4.0 |
spellingShingle | Undergraduate mathematics Textbooks Reading comprehension Task design Proof comprehension Study habits Lara Alcock Gavin Brown Clare Dunning Independent study workbooks for proofs in group theory |
title | Independent study workbooks for proofs in group theory |
title_full | Independent study workbooks for proofs in group theory |
title_fullStr | Independent study workbooks for proofs in group theory |
title_full_unstemmed | Independent study workbooks for proofs in group theory |
title_short | Independent study workbooks for proofs in group theory |
title_sort | independent study workbooks for proofs in group theory |
topic | Undergraduate mathematics Textbooks Reading comprehension Task design Proof comprehension Study habits |
url | https://hdl.handle.net/2134/17921 |