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Extending the ongoing discussion about the relationship between problem solving and problem posing, we consider problem posing as embedded in the activity of looking back at a problem. We analyze problems posed by secondary school mathematics teachers before and after they solved a problem and considered different solutions. We demonstrate that a familiarity with a solution increases the variety of the posed problems and discuss the mechanisms that lead to this increase. This provides some evidence for the important link between problem posing and problem solving. We suggest several future directions that may strengthen understanding of this link.

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Solving a Problem as a Catalyst for Problem Posing

  • 章节

  • 发表日期：

    2026年

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  • Dov Zazkis,
  • Rina Zazkis

摘要

Extending the ongoing discussion about the relationship between problem solving and problem posing, we consider problem posing as embedded in the activity of looking back at a problem. We analyze problems posed by secondary school mathematics teachers before and after they solved a problem and considered different solutions. We demonstrate that a familiarity with a solution increases the variety of the posed problems and discuss the mechanisms that lead to this increase. This provides some evidence for the important link between problem posing and problem solving. We suggest several future directions that may strengthen understanding of this link.