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- W4382313632 abstract "Proof construction and proof validation are two situations of high importance in mathematical teaching and research. While both situations have usually been studied separately, the current study focuses on possible intersections. Based on research on acceptance criteria and validation strategies, 11 undergraduates’ proof construction processes are investigated in terms of the effective and non-effective validation activities that occur. By conducting a qualitative content analysis with subsequent type construction, we identified six different validation activities, namely reviewing, rating, correcting errors, reassuring, expressing doubts, and improving. Although some of these activities tend to be associated with successful or unsuccessful proving processes, their effectiveness depends primarily on their specific implementation. For example, reviewing is effective when accompanied by a knowledge-generating approach and based on structure- or meaning-oriented criteria to provide deeper understanding. Thus, the results suggest that difficulties in proof construction could be partly attributed to inadequate validation strategies or their poor implementation." @default.
- W4382313632 created "2023-06-28" @default.
- W4382313632 creator A5063030406 @default.
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- W4382313632 date "2023-06-01" @default.
- W4382313632 modified "2023-09-25" @default.
- W4382313632 title "Proof construction and in-process validation – Validation activities of undergraduates in constructing mathematical proofs" @default.
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- W4382313632 doi "https://doi.org/10.1016/j.jmathb.2023.101064" @default.
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