Different complex word problems require different combinations of cognitive skills

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Different complex word problems require different combinations of cognitive skills. / Strohmaier, Anselm R.; Reinhold, Frank; Hofer, Sarah et al.
In: Educational Studies in Mathematics, Vol. 109, No. 1, 01.01.2022, p. 89-114.

Research output: Journal contributionsJournal articlesResearchpeer-review

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Strohmaier AR, Reinhold F, Hofer S, Berkowitz M, Vogel-Heuser B, Reiss K. Different complex word problems require different combinations of cognitive skills. Educational Studies in Mathematics. 2022 Jan 1;109(1):89-114. doi: 10.1007/s10649-021-10079-4

Bibtex

@article{ef731df2ee7c48db96eb113c9ff1213a,
title = "Different complex word problems require different combinations of cognitive skills",
abstract = "Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N = 1282 undergraduate students solving six mathematical word problems from the Programme for International Student Assessment (PISA). Previous results had indicated substantial variability in the contribution of individual cognitive skills to the correct solution of the different tasks. Here, we exploratively reanalyzed the data to investigate which task characteristics may account for this variability, considering verbal, arithmetic, spatial, and general reasoning skills simultaneously. Results indicate that verbal skills were the most consistent predictor of successful word problem solving in these tasks, arithmetic skills only predicted the correct solution of word problems containing calculations, spatial skills predicted solution rates in the presence of a visual representation, and general reasoning skills were more relevant in simpler problems that could be easily solved using heuristics. We discuss possible implications, emphasizing how word problems may differ with regard to the cognitive skills required to solve them correctly.",
keywords = "Arithmetic skills, General reasoning skills, Spatial skills, Verbal skills, Word problems, Educational science",
author = "Strohmaier, {Anselm R.} and Frank Reinhold and Sarah Hofer and Michal Berkowitz and Birgit Vogel-Heuser and Kristina Reiss",
note = "Funding: Leuphana Universit{\"a}t L{\"u}neburg",
year = "2022",
month = jan,
day = "1",
doi = "10.1007/s10649-021-10079-4",
language = "English",
volume = "109",
pages = "89--114",
journal = "Educational Studies in Mathematics",
issn = "0013-1954",
publisher = "Springer Nature B.V.",
number = "1",

}

RIS

TY - JOUR

T1 - Different complex word problems require different combinations of cognitive skills

AU - Strohmaier, Anselm R.

AU - Reinhold, Frank

AU - Hofer, Sarah

AU - Berkowitz, Michal

AU - Vogel-Heuser, Birgit

AU - Reiss, Kristina

N1 - Funding: Leuphana Universität Lüneburg

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N = 1282 undergraduate students solving six mathematical word problems from the Programme for International Student Assessment (PISA). Previous results had indicated substantial variability in the contribution of individual cognitive skills to the correct solution of the different tasks. Here, we exploratively reanalyzed the data to investigate which task characteristics may account for this variability, considering verbal, arithmetic, spatial, and general reasoning skills simultaneously. Results indicate that verbal skills were the most consistent predictor of successful word problem solving in these tasks, arithmetic skills only predicted the correct solution of word problems containing calculations, spatial skills predicted solution rates in the presence of a visual representation, and general reasoning skills were more relevant in simpler problems that could be easily solved using heuristics. We discuss possible implications, emphasizing how word problems may differ with regard to the cognitive skills required to solve them correctly.

AB - Mathematical word problem solving is influenced by various characteristics of the task and the person solving it. Yet, previous research has rarely related these characteristics to holistically answer which word problem requires which set of individual cognitive skills. In the present study, we conducted a secondary data analysis on a dataset of N = 1282 undergraduate students solving six mathematical word problems from the Programme for International Student Assessment (PISA). Previous results had indicated substantial variability in the contribution of individual cognitive skills to the correct solution of the different tasks. Here, we exploratively reanalyzed the data to investigate which task characteristics may account for this variability, considering verbal, arithmetic, spatial, and general reasoning skills simultaneously. Results indicate that verbal skills were the most consistent predictor of successful word problem solving in these tasks, arithmetic skills only predicted the correct solution of word problems containing calculations, spatial skills predicted solution rates in the presence of a visual representation, and general reasoning skills were more relevant in simpler problems that could be easily solved using heuristics. We discuss possible implications, emphasizing how word problems may differ with regard to the cognitive skills required to solve them correctly.

KW - Arithmetic skills

KW - General reasoning skills

KW - Spatial skills

KW - Verbal skills

KW - Word problems

KW - Educational science

UR - http://www.scopus.com/inward/record.url?scp=85109313452&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/1c0cb729-ac73-3dd6-a558-12e775715629/

U2 - 10.1007/s10649-021-10079-4

DO - 10.1007/s10649-021-10079-4

M3 - Journal articles

AN - SCOPUS:85109313452

VL - 109

SP - 89

EP - 114

JO - Educational Studies in Mathematics

JF - Educational Studies in Mathematics

SN - 0013-1954

IS - 1

ER -

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