Mathematical Problem-Posing Research: Thirty Years of Advances Building on the Publication of “On Mathematical Problem Posing”

In 1994, Ed Silver published a seminal paper entitled “On Mathematical Problem Posing.” Silver both helped to lay a foundation for problem-posing research and pointed out key directions that problem-posing research could explore. This chapter provides a brief review of the problem-posing literature in the past three decades, showing that there have been marked advances in problem-posing research. We not only provide a review of the advances in problem-posing research, but also of the impact of Silver’s seminal paper on problem-posing research. The chapter ends with a discussion of three specific areas of research on mathematical problem posing (one of these areas is Problem-Posing-Based Learning [P-PBL]) that are ripe for progress and could significantly move the entire field forward.