字问题中数据顺序对整体划分为不相等部分的影响

Pub Date : 2018-12-31 DOI:10.7160/ERIESJ.2018.110403

J. Novotná, M. Chvál

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引用次数: 3

摘要

本文研究了14-16岁小学生“整体分成不等部分”应用题中数值数据的顺序对成绩和推理能力的影响。变量在两个单词问题中发生了变化，其中一个问题的上下文也发生了变化(心理变量)，而在后一个问题中，“if-clause”是否被使用(语言变量)。182名学生参与了这项实验。采用项目反应理论对这些解决方案进行定量分析和定性分析。数据表明，在不熟悉的环境中，学生的成功受到陈述中数字数据顺序的影响。在一个两层问题中研究了语句中“if-clause”的存在。在没有“if”的情况下，数值数据的顺序发挥了作用。实验结果对数学教学和试题设计具有重要意义。本文是Novotna(2018)论文的扩展版。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Impact of Order of Data in Word Problems on Division of a Whole into Unequal Parts

The paper investigates how the order of numerical data in word problems on division of a whole into unequal parts affects achievement and reasoning of 14-16-year old pupils. The variable was altered in two word problems, in one of which also the context was changed (psychological variable) and in the latter “if-clause” is or is not used (linguistic variable). 182 pupils were involved in the experiment. The solutions were analysed quantitatively using Item Response Theory as well as qualitatively. The data suggest that pupils’ success is affected by the order of numerical data in the statement in an unfamiliar context. The presence of “if-clause” in the statement was studied in a two-level problem. The order of numerical data played its role in case of formulations without “if”. The results of the experiment are of interest for mathematics education as well as for construction of tests. The paper is an extended version of the paper by Novotna (2018).

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