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ERIC Number: EJ1282674
Record Type: Journal
Publication Date: 2021
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1051-1970
Calculus Students' Deductive Reasoning and Strategies When Working with Abstract Propositions and Calculus Theorems
Case, Joshua; Speer, Natasha
PRIMUS, v31 n2 p184-201 2021
In undergraduate mathematics, deductive reasoning plays important roles in teaching and learning various ideas, and is primarily characterized by the concept of logical implication. This comes up whenever conditional statements are applied, i.e., one checks if a statement's hypotheses are satisfied and then makes inferences. In calculus, students must learn to work with such statements; however, most have not studied propositional logic. How do these students comprehend the abstract notion of logical implication, and how do they reason conditionally with calculus theorems? Study results indicate that students struggle with logical implication in abstract contexts, but perform better when working in calculus contexts. Findings indicate that some students use "example generating" strategies to successfully determine the validity of calculus implications. We discuss ways instructors might support students' use of such strategies, as well as further avenues of inquiry.
Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A