This chapter, and the research reported therein, grew out of efforts to understand what is entailed with introducing college mathematics students to the practice of proving, while co-enacting Inquiry-based Learning (IBL) pedagogies and Equity-oriented Instruction (EOI). Thus, the chapter is best situated within ongoing discussions of the “socio-political turn” in mathematics education (Adiredja & Andrews-Larsen, International Journal of Research in Undergraduate Mathematics Education 3(3), 444–465, 2017) and of the relationships between IBL, equity, and equitable teaching practices during the learning of advanced (i.e., post-Calculus) mathematics. Specifically, this chapter further examines challenges to what I have previously called E-IBL, Equity-oriented Inquiry-based Learning in the Introduction to Proof (ItP) classroom, by exploring the ways societal norms and practices may be enacted or intrude. This exploration will draw on Foucault’s characterizations of power and knowledge, Bourdieu’s notion of habitus, as well as critical ethnographic work, to demonstrate the utility of the microcosm construct.

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Microcosms in the Classroom: An Ethnographic Study of Equity in Inquiry-Based Introduction to Proof Courses

  • Stacy Brown

摘要

This chapter, and the research reported therein, grew out of efforts to understand what is entailed with introducing college mathematics students to the practice of proving, while co-enacting Inquiry-based Learning (IBL) pedagogies and Equity-oriented Instruction (EOI). Thus, the chapter is best situated within ongoing discussions of the “socio-political turn” in mathematics education (Adiredja & Andrews-Larsen, International Journal of Research in Undergraduate Mathematics Education 3(3), 444–465, 2017) and of the relationships between IBL, equity, and equitable teaching practices during the learning of advanced (i.e., post-Calculus) mathematics. Specifically, this chapter further examines challenges to what I have previously called E-IBL, Equity-oriented Inquiry-based Learning in the Introduction to Proof (ItP) classroom, by exploring the ways societal norms and practices may be enacted or intrude. This exploration will draw on Foucault’s characterizations of power and knowledge, Bourdieu’s notion of habitus, as well as critical ethnographic work, to demonstrate the utility of the microcosm construct.