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Reading and Calculating in Word Problem Solving

Authors: Strohmaier, Anselm R.; Schons, Christian; Knabbe, Alina; Vogel, Markus;

Reading and Calculating in Word Problem Solving

Abstract

Word problem solving combines linguistic and mathematical processes, includingreading and calculating. However, it is still unclear how strongly these processesoverlap, e.g., if calculations occur parallel or serially during reading. Also, it is unclearhow much the mental representation created during reading and the mentalrepresentation in which calculations are integrated (e.g., Thevenot et al., 2007). In thepresent study, we present data from an experiment that investigated the overlapbetween reading and calculating based on the observation of eye movements duringword problem solving.We systematically varied three-line word problems by manipulating a) the lexicaldifficulty of two words which were irrelevant for calculations and b) the numericaldifficulty of the word problem which was irrelevant for reading. We analyzed the meanfixation duration, which can be interpreted as an indicator for the cognitive effortduring processing of visual information (Strohmaier et al., 2020). If processes ofreading and calculating occur serially and in delimited mental representations, themanipulation should only affect the mean fixation duration of the varied words andnumbers.Analyses of the pilot data from N = 17 undergraduate students show that numericaldifficulty influences the mean fixation duration on numbers, but also on the remainingtext. Effects of lexical difficulty showed similar trends, but were not significant.Based on these results and additional data, we argue that eye movements indicate thatcognitive processes of reading and calculating overlap during word problem solvingand occur in a shared mental representation.

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/dk/atira/pure/core/keywords/54907418X; name=Didactics of Mathematics, /dk/atira/pure/core/keywords/558306934; name=Educational science

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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