Four Mathematical Miniatures on Problem Posing

Lukas Baumanns ()
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Lukas Baumanns: University of Cologne, Faculty of Mathematics and Natural Sciences, Institute of Mathematics Education

A chapter in Problem Posing and Solving for Mathematically Gifted and Interested Students, 2023, pp 3-25 from Springer

Abstract: Abstract Understanding problem posing as an inherently mathematical activity has gained importance in recent years within mathematics education. Numerous empirical studies show a wide range of different problem-posing activities. This paper highlights the diversity of problem-posing activities based on considerations on subject-matter didactics. Based on definitions and conceptions of problem posing in mathematics education, four different problem-posing activities are first identified: 1) Problem posing as generating new problems, 2) problem posing as reformulating a given problem for problem solving, 3) problem posing as reformulating a given problem for investigation, and 4) problem posing as constructing tasks for others. Subsequently, each of these four problem-posing activities is illustrated by a mathematical miniature. In addition, the empirical research on each of these four problem-posing activities is summarized.

Keywords: Problem posing; Reformulation; Generation; Investigation; Problem solving (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-658-41061-2_1

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DOI: 10.1007/978-3-658-41061-2_1

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