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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/13603

Title: Self-explanation training improves proof comprehension
Authors: Hodds, Mark
Alcock, Lara
Inglis, Matthew
Issue Date: 2014
Publisher: © National Council of Teachers of Mathematics
Citation: HODDS, M., ALCOCK, L. and INGLIS, M., 2014. Self-explanation training improves proof comprehension. Journal for Research in Mathematics Education, 45 (1), pp. 98 - 137.
Abstract: In this paper we report three experiments demonstrating that a simple booklet containing self explanation training, designed to focus students’ attention on logical relationships within a mathematical proof, can significantly improve their proof comprehension. Experiment 1 demonstrates that students who receive the training generate higher quality explanations and perform better (effect size d = 0.950) on a comprehension test. Experiment 2 demonstrates that self-explanation training increases students’ cognitive engagement and the frequency with which they move their attention around a proof. Experiment 3 demonstrates that a 15- minute in-lecture self-study intervention improves students’ proof comprehension, and that the effect persists over time. Thus we argue that ‘transition to proof’ courses should incorporate self-explanation training.
Description: Closed access. This article was published in the Journal for Research in Mathematics Education (JRME) [© National Council of Teachers of Mathematics] http://www.nctm.org . A file of supplementary materials is available from the author's personal website at http://homepages.lboro.ac.uk/~mamji/files/JRME_SelfExpl_SuppMat.pdf
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/13603
Publisher Link: http://www.nctm.org/Publications/journal-for-research-in-mathematics-education/2014/Vol45/Issue1/Self-Explanation-Training-Improves-Proof-Comprehension/
ISSN: 0021-8251
Appears in Collections:Closed Access (Mathematics Education Centre)

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File Description SizeFormat
JRME_SelfExpl_Paper.pdfAccepted version584.55 kBAdobe PDFView/Open
supplementary materials 3.pdfSupplementary material103.04 kBAdobe PDFView/Open

 

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