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ERIC Number: ED660965
Record Type: Non-Journal
Publication Date: 2024
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Comprehending and Applying the First Isomorphism Theorem
Marios Ioannou
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (46th, Gold Coast, Australia, Jun 30-Jul 4, 2024)
This qualitative study aims to investigate novice undergraduate mathematics students' first encounter with the First Isomorphism Theorem, which is, more often than not, the pinnacle of a typical introductory course in Group Theory. Several studies have reported on the challenges that this mathematical result poses to inexperienced mathematicians, mostly due to the numerous prerequisite abstract concepts. For the analysis of student responses, there has been used the Commognitive Theoretical Framework. This study suggests that the major challenges are due to the comprehension of the notions of kernel, image and isomorphism, and the application of FIT as a routine in the context of proofs.
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia (MERGA)
Identifiers - Location: United Kingdom
Grant or Contract Numbers: N/A
Author Affiliations: N/A