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Lavie, Irit; Sfard, Anna – Journal of the Learning Sciences, 2019
Conceptualizing numbers as discursive constructs generated in, and for the sake of, communication, we investigated the development of the numerical discourse of Milo, a boy who was 2 years and 8 months old when we first met him and whom we then followed for 18 months. Our analyses of the child's evolving responses to the question "Where is…
Descriptors: Numbers, Discourse Analysis, Males, Preschool Children
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Kapur, Manu – Journal of the Learning Sciences, 2014
A total of 136 eighth-grade math students from 2 Singapore schools learned from either productive failure (PF) or vicarious failure (VF). PF students "generated" solutions to a complex problem targeting the concept of variance that they had not learned yet before receiving instruction on the targeted concept. VF students…
Descriptors: Foreign Countries, Grade 8, Mathematics Instruction, Failure
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Kapur, Manu; Bielaczyc, Katerine – Journal of the Learning Sciences, 2012
In this article, we describe the design principles undergirding "productive failure" (PF; M. Kapur, 2008). We then report findings from an ongoing program of research on PF in mathematical problem solving in 3 Singapore public schools with significantly different mathematical ability profiles, ranging from average to lower ability. In…
Descriptors: Foreign Countries, Problem Solving, Instructional Design, Direct Instruction
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Habgood, M. P. Jacob; Ainsworth, Shaaron E. – Journal of the Learning Sciences, 2011
The concept of "intrinsic motivation" lies at the heart of the user engagement created by digital games. Yet despite this, educational software has traditionally attempted to harness games as extrinsic motivation by using them as a sugar coating for learning content. This article tests the concept of "intrinsic integration" as…
Descriptors: Educational Games, Incentives, Student Motivation, Time on Task