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Martin, Taylor; Petrick Smith, Carmen; Forsgren, Nicole; Aghababyan, Ani; Janisiewicz, Philip; Baker, Stephanie – Journal of the Learning Sciences, 2015
The struggle with fraction learning in kindergarten through Grade 12 in the United States is a persistent problem and one of the major stumbling blocks to succeeding in higher mathematics. Research into this problem has identified several areas where students commonly struggle with fractions. While there are many theories of fraction learning,…
Descriptors: Mathematics Instruction, Mathematical Concepts, Fractions, Educational Games
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