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March 18, 20260 citationsOpen Access

The relation between text comprehension and computation in mathematical word-problem solving

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ASAnselm R. StrohmaierCSChristian SchonsAKAlina Knabbe

Key Points

  • To explore the relationship between text comprehension and computation in solving mathematical word problems.
  • Participated 50 undergraduates solving 16 mathematical word problems.
  • Problems varied by numerical, lexical, and syntactic difficulty and question position.
  • Used eye-tracking to analyze visual attention during two solution phases.
  • Assessed abilities with standardized instruments.
  • Applied linear mixed models for data analysis.
  • Linguistic problem difficulty affected attention to text in the initial solution phase.
  • Mathematical problem difficulty influenced attention to numbers and text in the second phase.
  • Placing the question first decreased attention on text and numbers initially but increased it later.

Abstract

Background Mathematical word-problem solving involves both text comprehension and computation, but existing process models differ in their assumptions about whether these processes occur linearly or flexibly, and whether they are situated in integrated or separable mental representations. Aims Using eye-tracking, we investigated how the mathematical and linguistic problem difficulty and abilities of the solver and the position of the question affected the solution process, using three categories of effects that can be explained by some models, but not the others. Sample Participants were 50 undergraduate students. Methods Participants solved 16 three-line traditional mathematical word problems that were independently varied by numerical, lexical, and syntactic problem difficulty and by the position of the question in a within-subject design. Abilities were assessed with standardized instruments. By using eye tracking, visual attention on text and numbers was distinguished in two solution phases and analyzed using linear mixed models. Results Linguistic problem difficulty and abilities affected attention on text in the first solution phase, and mathematical problem difficulty and abilities affected attention on numbers and text in the second solution phase. Putting the question first lead to less attention on numbers and text during the first solution phase, but more attention in the second phase. Conclusions Our results concur with models that assume text comprehension precedes computation but occurs in a shared mental representation. However, findings regarding the question position indicate that some mathematical processes occur already in the first solution phase.

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Cite This Study

Strohmaier et al. (2025) studied this question.

synapsesocial.com/papers/69ba425c4e9516ffd37a2961https://doi.org/10.48548/pubdata-3123
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