Graduate Students’ Pedagogical Mathematical Practices Used in Approximations of Teaching Practice Tasks
Page: 240
This research design uses Approximations of Practice (AoPs), simulated practices of responsive pedagogy for prospective teachers to respond to, which lead them to make relevant connections between advanced mathematics courses and teaching practices. Data were collected from students in a Master's level Mathematics for Teachers course. The curriculum and interviews focused on three mathematical content domains: probability, algebra, and analysis. The AoPs were written into a semi-structured interview to demonstrate real-world examples of how teachers may see this material arise in the classroom. The AoPs prompted the participants to interpret and respond to student thinking and structure whole class discussions about students’ strategies. Their responses were analyzed using Wasserman’s (2022) pedagogical mathematical practices (PMPs). We examined each response to the AoPs to identify the participants’ PMPs.