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In this chapter I revisit some themes found in Jeremy Kilpatrick’s seminal paper, “Problem Formulating: Where Do Good Problems Come From?” (Kilpatrick, 1987), and I discuss how his ideas have influenced and stimulated other scholars, including myself, to consider problem posing as a focal topic. The chapter is organized in accord with one of Kilpatrick’s core assertions; namely, that problem formulating should be viewed both as an instructional goal and as a means of instruction. I consider both views, discussing Kilpatrick’s treatment of mathematical problem posing as a strategic topic of interest for a broad audience, including scholars and practitioners.

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Problem Formulating as a Gateway to Problem Posing: A Retrospective Look

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  • 发表日期：

    2026年

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  • Edward A. Silver

摘要

In this chapter I revisit some themes found in Jeremy Kilpatrick’s seminal paper, “Problem Formulating: Where Do Good Problems Come From?” (Kilpatrick, 1987), and I discuss how his ideas have influenced and stimulated other scholars, including myself, to consider problem posing as a focal topic. The chapter is organized in accord with one of Kilpatrick’s core assertions; namely, that problem formulating should be viewed both as an instructional goal and as a means of instruction. I consider both views, discussing Kilpatrick’s treatment of mathematical problem posing as a strategic topic of interest for a broad audience, including scholars and practitioners.