Pizzas or no pizzas: An advantage of word problems in fraction arithmetic?

被引:2
|
作者
Mostert, T. M. M. [1 ]
Hickendorff, M. [1 ]
机构
[1] Leiden Univ, Inst Educ & Child Studies, POB 9555, NL-2300 RB Leiden, Netherlands
关键词
Word problems; Arithmetic; Mathematics education; Fractions; Primary school; Secondary school; INDIVIDUAL-DIFFERENCES; LEARNING FRACTION; WHOLE NUMBER; MATHEMATICS; KNOWLEDGE; REPRESENTATIONS; MODEL;
D O I
10.1016/j.learninstruc.2023.101775
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
Fractions are an important but notoriously difficult domain in mathematics education. Situating fraction arithmetic problems in a realistic setting might help students overcome their difficulties by making fraction arithmetic less abstract. The current study therefore investigated to what extent students (106 sixth graders, 187 seventh graders, and 192 eighth graders) perform better on fraction arithmetic problems presented as word problems compared to these problems presented symbolically. Results showed that in multiplication of a fraction with a whole number and in all types of fraction division, word problems were easier than their symbolic counterparts. However, in addition, subtraction, and multiplication of two fractions, symbolic problems were easier. There were no performance differences by students' grade, but higher conceptual fraction knowledge was associated with higher fraction arithmetic performance. Taken together this study showed that situating fraction arithmetic in a realistic setting may support or hinder performance, dependent on the problem demands.
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页数:10
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