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Teaching Logic for Social Justice: How Students’ Reasoning About Axioms and Definitions Can Support Their Reasoning Around Prisons and Abolition (Poster 11)

Fri, April 10, 11:45am to 1:15pm PDT (11:45am to 1:15pm PDT), Los Angeles Convention Center, Floor: Level Two, Poster Hall - Exhibit Hall A

Abstract

Mathematics education is implicated in and can reinforce societal inequities via harmful disciplinary practices, such as decontextualizing data or treating one's conclusions as objective. While some scholarship in the K-12 context describes possibilities for using math to understand and resist social injustices, this work predominantly utilizes statistics and computation, leaving proof unexplored despite its significant role throughout K-16 mathematics. I propose that proof instruction can be modified in service of teaching math for social justice while subverting harmful disciplinary practices. In this design-based research study, I explore how undergraduate math students can use skills from logic to discuss prisons and abolition. I develop a local instructional theory that accounts for cross-disciplinary parallels in students’ reasoning about assumptions and definitions.

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