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Title: Opportunities for reasoning and proving in mathematical tasks: A discursive perspective.
In this paper, we offer a novel framework for analyzing the Opportunities for Reasoning-and Proving (ORP) in mathematical tasks. By drawing upon some tenets of the commognitive framework, we conceptualize learning and teaching mathematics via reasoning and proving both as enacting reasoning processes (e.g., conjecturing, justifying) in the curricular-based mathematical discourse and as participation in the meta-discourse about proof, which is focused on the aspects of deductive reasoning. By cluster analysis performed on 106 tasks designed by prospective secondary teachers, we identify four types of tasks corresponding to four types of ORP: limited ORP, curricular-based reasoning ORP, logic related ORP, and fully integrated ORP. We discuss these ORP and the contribution of this framework in light of preparing beginning teachers to integrate reasoning and proving in secondary mathematics classrooms.  more » « less
Award ID(s):
1941720
PAR ID:
10406056
Author(s) / Creator(s):
; ;
Editor(s):
Lischka, A. E.; Dyer, E. B.; Jones, R. S.; Lovett, J. N.; Strayer, J.; Drown, S.
Date Published:
Journal Name:
Proceedings of the 44th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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