Abstract

This quasi-experimental study was designed to determine the effect of a thinking strategy approach through visual representation on the achievement and conceptual understanding in solving mathematical word problems in primary school. The experimental group (n = 96) was exposed to the treatment, while the control group (n = 97) received a conventional approach in teaching and learning mathematical problem solving. To control the variable difference, a pretest was given to both groups before teaching. After 10 weeks of instruction, both groups were given a posttests. Two types of instruments were used to collect the data: the achievement and the conceptual understanding tests. To determine differences between groups, pre and posttests were analyzed using multivariate analysis of variance (MANOVA) followed by univariate analysis of variance (ANOVA). MANOVA results showed a significant difference in overall achievement and understanding of the concept of mathematical word problem solving for the treatment groups as compared to the control group. The ANOVA test of the findings also found that there were significant differences between treatment and control groups. Results showed that students who were exposed to the approach of thinking strategies through visualization representation in mathematical word problem solving outperformed students in conventional classes in achievement and conceptual understanding in mathematical word problem solving. Effect size is high, and therefore the treatment effect is meaningful in practice.

Highlights

  • Problem solving is a major focus in the teaching and learning of mathematics and one of the components that should be emphasized in school mathematics (Ministry of Education, 2000, 2002)

  • multivariate analysis of variance (MANOVA) results showed a significant difference in overall achievement and understanding of the concept of mathematical word problem solving for the treatment groups as compared to the control group

  • Results showed that students who were exposed to the approach of thinking strategies through visualization representation in mathematical word problem solving outperformed students in conventional classes in achievement and conceptual understanding in mathematical word problem solving

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Summary

Introduction

Problem solving is a major focus in the teaching and learning of mathematics and one of the components that should be emphasized in school mathematics (Ministry of Education, 2000, 2002). In order to master mathematical word problem solving, they need the support of thinking strategies that will govern the interpretation and manipulation of information through language skills and visual capabilities in working memory (Geary, 2004). This is because mathematical word problems include worded items and their structure makes them difficult to solve. The problems need to be analyzed and interpreted as the basis for selection and decision making (Johnson, 2010; Lager, 2006) To achieve this goal, students need to be guided and exposed to strategic thinking and representation skills so that mathematical problem-solving skills can be achieved effectively (Kilpatrick & Swafford, 2002; Montaque, 2003; Hanich & Jordan, 2004; Powell et al, 2009). Many studies show that success in mathematical word problem solving is supported by visual reasoning to inspire ideas and allow a deeper understanding of a relationship (Stylianou, 2002; Knight, 2000: Parkinson & Redmond, 2002; Mohd Daud, 2002)

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