Abstract

This study analyzed the relative importance of different cognitive abilities for solving complex mathematical word problems (CWPs)—a demanding task of high relevance for diverse fields and contexts. We investigated the effects of spatial, verbal, numerical, and general reasoning abilities as well as gender on CWP performance among N = 1282 first-year university engineering students. Generalized linear mixed models unveiled significant unique effects of spatial ability, β = 0.284, verbal ability, β = 0.342, numerical ability, β = 0.164, general reasoning, β = 0.248, and an overall gender effect in favor of male students, β = 0.285. Analyses revealed negligible to small gender effects in verbal and general reasoning ability. Despite a gender effect in spatial ability, d = 0.48, and numerical ability, d = 0.30—both in favor of male students—further analyses showed that effects of all measured cognitive abilities on CWP solving were comparable for both women and men. Our results underpin that CWP solving requires a broad facet of cognitive abilities besides mere mathematical competencies. Since gender differences in CWP solving were not fully explained by differences in the four measured cognitive abilities, gender-specific attitudes, beliefs, and emotions could be considered possible affective moderators of CWP performance.

Highlights

  • Word problems have been a vital part of mathematics education for centuries

  • This study investigated the effects of spatial ability, verbal and numerical abilities, general reasoning ability, and gender on Complex Word Problems (CWPs) performance among N = 1282 first-year university students in engineering-fields—where CWP solving can be considered of particular importance

  • As described throughout the “Introduction” section, we argue that different cognitive abilities—i.e., spatial, verbal, numerical, and general reasoning abilities—contribute to the solution of CWPs in mathematics

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Summary

Introduction

Word problems have been a vital part of mathematics education for centuries. With the shift towards more contextualized and functional modeling tasks, they saw a revival in Extended author information available on the last page of the article the mathematics classroom and in the assessment of mathematical competencies (Strohmaier 2020). Word problems are considered mathematical tasks in which relevant information is presented as text rather than in mathematical notion (Boonen et al 2016; Daroczy et al 2015; Verschaffel et al 2010). They require learners to integrate mathematical, linguistic, and visuo-spatial abilities (Boonen et al 2013). It is assumed that they interact during word problem solving, for example in constructing a visuo-spatial representation. We focus on Complex Word Problems (CWPs) which combine multiple forms of representations (e.g., symbols, graphs, pictures), irrelevant information, notable amounts of text, and functional real-world contexts (Strohmaier 2020)

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