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  • Instructional interventions and teacher moves to support student learning of logical principles in mathematical contexts
Title: Instructional interventions and teacher moves to support student learning of logical principles in mathematical contexts
This study explores how instructional interventions and teacher moves might support students’ learning of logic in mathematical contexts. We conducted an exploratory teaching experiment with a pair of undergraduate students to leverage set-based reasoning for proofs of conditional statements. The students initially displayed a lack of knowledge of contrapositive equivalence and converse independence in validating if a given proof-text proves a given theorem. However, they came to conceive of these logical principles as the teaching experiment progressed. We will discuss how our instructional interventions played a critical role in facilitating students’ joint reflection and modification of their reasoning about contrapositive equivalence and converse independence in reading proofs.  more » « less
Award ID(s):
1954768
PAR ID:
10464331
Author(s) / Creator(s):
; ; ; ;
Editor(s):
Cook, S.; Katz, B.; Moore-Russo, D.
Date Published:
Journal Name:
Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education
ISSN:
2474-9346
Page Range / eLocation ID:
694-701
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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