Articles with "proof construction" as a keyword



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Fostering empirical examination after proof construction in secondary school geometry

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Published in 2017 at "Educational Studies in Mathematics"

DOI: 10.1007/s10649-016-9731-6

Abstract: In contrast to existing research that has typically addressed the process from example generation to proof construction, this study aims at enhancing empirical examination after proof construction leading to revision of statements and proofs in… read more here.

Keywords: proof; geometry; empirical examination; proof construction ... See more keywords
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Embodied truths: How dynamic gestures and speech contribute to mathematical proof practices

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Published in 2019 at "Contemporary Educational Psychology"

DOI: 10.1016/j.cedpsych.2019.01.012

Abstract: Abstract Grounded and embodied theories of cognition suggest that both language and the body play crucial roles in grounding higher-order thought. This paper investigates how particular forms of speech and gesture function together to support… read more here.

Keywords: dynamic gestures; proof construction; mathematical proof; gestures speech ... See more keywords
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Learning trajectory of geometry proof construction: Studying the emerging understanding of the structure of Euclidean proof

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Published in 2023 at "Eurasia Journal of Mathematics, Science and Technology Education"

DOI: 10.29333/ejmste/13160

Abstract: This paper presents a learning trajectory of geometry proof (LTGP) for Indonesian prospective mathematics teachers (PMTs) during their first year of studies at an Indonesian university. The trajectory aims at PMTs’ progression of their understanding… read more here.

Keywords: proof construction; proof; understanding structure; geometry ... See more keywords