Mathematical Problem Posing pp 469-492 | Cite as

# A Review on Problem Posing in Teacher Education

## Abstract

Over the last two decades, researchers have shown increased interest in problem posing in mathematics professional development. In the context of teaching mathematics, problem posing can entail asking questions during classroom interactions to assess student understanding, modifying existing problems to adjust the difficulty level of a task, and creating problems to meet instructional objectives. In this chapter, we review the research conducted between 1990 and 2012 on problem posing in mathematics methods courses in elementary teacher education. Despite the range of foci, goals, and theoretical perspectives in the literature, we describe ways in which problem posing has been investigated in the preservice teacher population. Despite the paucity of empirical studies, we were able to group these studies into three distinct categories: (a) problem posing as a skill integral to the practice of teaching mathematics; (b) problem posing as an activity separate from teaching; and (c) problem posing as a tool to assess an outcome variable (for researchers) or as a tool for teaching or assessing the development of preservice teachers’ knowledge or beliefs. Implications for mathematics teacher educators that stem from the review of the literature are discussed.

## Keywords

Problem posing Elementary teacher training Mathematical knowledge for teaching Specialized content knowledge Knowledge of content and students Teacher educators’ view Mathematics methods course## References

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