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高危四年级学生在分数排序中的错误模式。

Error Patterns in Ordering Fractions Among At-Risk Fourth-Grade Students.

作者信息

Malone Amelia S, Fuchs Lynn S

机构信息

1 Department of Special Education, Vanderbilt University, Nashville, TN, USA.

出版信息

J Learn Disabil. 2017 May/Jun;50(3):337-352. doi: 10.1177/0022219416629647. Epub 2016 Aug 3.

DOI:10.1177/0022219416629647
PMID:26966153
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5018237/
Abstract

The three purposes of this study were to (a) describe fraction ordering errors among at-risk fourth grade students, (b) assess the effect of part-whole understanding and accuracy of fraction magnitude estimation on the probability of committing errors, and (c) examine the effect of students' ability to explain comparing problems on the probability of committing errors. Students ( N = 227) completed a nine-item ordering test. A high proportion (81%) of problems were completed incorrectly. Most (65%) errors were due to students misapplying whole number logic to fractions. Fraction-magnitude estimation skill, but not part-whole understanding, significantly predicted the probability of committing this type of error. Implications for practice are discussed.

摘要

本研究的三个目的是

(a)描述有风险的四年级学生在分数排序方面的错误;(b)评估部分-整体理解和分数大小估计准确性对犯错概率的影响;(c)检验学生解释比较问题的能力对犯错概率的影响。学生(N = 227)完成了一项包含九个项目的排序测试。很大一部分(81%)问题回答错误。大多数(65%)错误是由于学生将整数逻辑错误地应用于分数。分数大小估计技能而非部分-整体理解能显著预测犯此类错误的概率。文中讨论了对实践的启示。

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引用本文的文献

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Learn Individ Differ. 2018 Jan;61:151-157. doi: 10.1016/j.lindif.2017.11.018.
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The Role of Domain-General Cognitive Abilities and Decimal Labels in At-Risk Fourth-Grade Students' Decimal Magnitude Understanding.一般领域认知能力和十进制标签在四年级高危学生对小数大小理解中的作用。
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本文引用的文献

1
Error Patterns with Fraction Calculations at Fourth Grade as a Function of Students' Mathematics Achievement Status.四年级分数计算中的错误模式与学生数学成绩状况的关系
Elem Sch J. 2017 Sep;118(1):105-127. doi: 10.1086/692914.
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Competence with fractions predicts gains in mathematics achievement.分数能力预测数学成绩的提高。
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Early predictors of high school mathematics achievement.高中数学成就的早期预测因素。
Psychol Sci. 2012 Jul 1;23(7):691-7. doi: 10.1177/0956797612440101. Epub 2012 Jun 14.
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Representations of the magnitudes of fractions.分数大小的表示。
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Comparing the magnitude of two fractions with common components: which representations are used by 10- and 12-year-olds?比较具有公共成分的两个分数的大小:10 岁和 12 岁的儿童使用哪些表示方法?
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Learn Disabil Q. 2008;31(2):79-92.
10
Parts and 'holes': gaps in rational number sense among children with vs. without mathematical learning disabilities.部分与“漏洞”:有数学学习障碍与无数学学习障碍儿童在有理数概念理解上的差距
Dev Sci. 2008 Sep;11(5):681-91. doi: 10.1111/j.1467-7687.2008.00717.x.