Influences on Problem Solving Practices of Emerging Mathematicians
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Mathematical problem solving research that focuses on the development of problem solving practices can provide mathematics educators the tools with which to foster the use of such practices in their students. This study hopes to identify influences on the development of emerging mathematiciansā problem solving technique. Emerging mathematicians from an undergraduate real analysis course and first-semester graduate course in linear algebra were invited to a sequence of two interviews, during which they completed problem solving tasks and reflected on their growth as mathematical problem solvers. In particular, they were asked to expound on formative experiences that affected the development of their problem solving strategies. Participants reported ways that both teaching mathematics and learning mathematics from skilled instructors influenced the way they solved novel problems.