Abstract
What do prospective elementary teachers (PTs) need to learn about the nature and practice of mathematics? What pedagogy is powerful in achieving those learning outcomes? This article focuses on ways to foster and model a classroom culture of doing mathematics with PTs. We describe ways to support them in solving problems, using and valuing precise language and notation, making sense of definitions, conjecturing, generalizing, and in communicating and justifying their mathematical thinking. We assert that participation in authentic mathematical practices provides PTs with the mathematical disposition and the tools to continue to learn mathematics long after they leave your classroom; it helps them to make sense of the Common Core State Standards (CCSS) for Mathematical Practice (CCSSI, 2010); and it supports them in embracing a culture of doing mathematics with children in their own mathematics classrooms. While our advice is situated in theory and supported by research, it is also practical. We use examples of classroom dilemmas and dialogue to illustrate our suggestions.
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