Using worked examples to promote explanations of fractions concepts: A formative pilot study

Amber Y. Wang, Robin F. Schumacher, Barbara J. Dougherty, Samantha Wavell, Joseph A. Dimino, Russell Gersten
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Abstract

This pilot study examined the feasibility of using worked examples as a mechanism to improve verbal explanations of fractions concepts among Grade 5 students with mathematics difficulties in a small-scale randomized controlled trial (RCT) before scaling up to a large-scale RCT. Students ( N = 49) were randomly assigned to a business-as-usual (BAU) comparison group and to two variants of intervention. One intervention condition received both correct and incorrect worked example solutions, the other received correct solutions only. On a measure of verbal explanations, intervention students significantly outperformed students in BAU. Furthermore, students who received both correct and incorrect solutions significantly outperformed students who received correct solutions only on verbal explanations. On fractions proficiency outcomes, results were not significant between intervention and BAU or between the two intervention groups; however, positive findings demonstrate promise for using worked examples to elicit and develop students’ verbal explanations of fractions concepts.
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利用工作实例促进分数概念的解释:形成性试点研究
本试验性研究探讨了在扩大到大规模随机对照试验(RCT)之前,在小规模随机对照试验(RCT)中使用工作示例作为一种机制来改进对有数学困难的五年级学生的分数概念的口头解释的可行性。学生(49 人)被随机分配到一个 "一切照旧"(BAU)对比组和两个不同的干预组。一种干预条件是同时接受正确和错误的工作示例解决方案,另一种干预条件是只接受正确的解决方案。在口头解释方面,接受干预的学生明显优于接受 BAU 的学生。此外,在口头解释方面,同时获得正确和错误解法的学生明显优于只获得正确解法的学生。在分数能力结果方面,干预组与 BAU 组之间或两个干预组之间的结果并不显著;但是,积极的研究结果表明,使用工作实例来激发和发展学生对分数概念的口头解释是有前景的。
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