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How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling

BACKGROUND: According to the self‐enhancement perspective, self‐efficacy and self‐concept are shaped by prior achievement and have a crucial impact on future development. Their role in improving performance on challenging tasks, such as mathematical modelling (i.e., solving realistic problems mathem...

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Detalles Bibliográficos
Autores principales: Holenstein, Mathias, Bruckmaier, Georg, Grob, Alexander
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9291159/
https://www.ncbi.nlm.nih.gov/pubmed/34228816
http://dx.doi.org/10.1111/bjep.12443
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author Holenstein, Mathias
Bruckmaier, Georg
Grob, Alexander
author_facet Holenstein, Mathias
Bruckmaier, Georg
Grob, Alexander
author_sort Holenstein, Mathias
collection PubMed
description BACKGROUND: According to the self‐enhancement perspective, self‐efficacy and self‐concept are shaped by prior achievement and have a crucial impact on future development. Their role in improving performance on challenging tasks, such as mathematical modelling (i.e., solving realistic problems mathematically), has barely been studied. AIMS: We investigated patterns of self‐efficacy and self‐concept and their predictive effects on mathematical modelling while taking into account school grades as measure of prior achievement and reasoning to reveal cognitive and motivational effects on achievement. SAMPLE: N = 279 secondary students in Grade 8 or 9 from 16 classes and 6 schools participated in the study. METHOD: The multi‐informant design consisted of teachers’ reports of school grades, students’ reports of self‐efficacy and self‐concept (questionnaire‐based), and assessment of students’ reasoning and mathematical modelling. RESULTS: Using random‐intercept models, we found that the predictive effect of self‐efficacy on mathematical modelling withstood taking the school‐classroom‐related nested structure into account, whereas self‐concept lost its predictive value. Further, self‐efficacy fully mediated the effect of school grades on mathematical modelling. CONCLUSIONS: In line with the self‐enhancement perspective on self‐efficacy, our findings highlight the strength of motivational effects on mathematical modelling. When we take the nested structure into account, our results indicate an impact of school grades via self‐efficacy on mathematical modelling independent of students’ cognitive level or classroom. Given the diverse challenges such complex tasks present, important pedagogical and didactical recommendations, such as targeting the enhancement of students’ self‐efficacy by teachers and educational decision makers, can be drawn.
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spelling pubmed-92911592022-07-20 How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling Holenstein, Mathias Bruckmaier, Georg Grob, Alexander Br J Educ Psychol Original Articles BACKGROUND: According to the self‐enhancement perspective, self‐efficacy and self‐concept are shaped by prior achievement and have a crucial impact on future development. Their role in improving performance on challenging tasks, such as mathematical modelling (i.e., solving realistic problems mathematically), has barely been studied. AIMS: We investigated patterns of self‐efficacy and self‐concept and their predictive effects on mathematical modelling while taking into account school grades as measure of prior achievement and reasoning to reveal cognitive and motivational effects on achievement. SAMPLE: N = 279 secondary students in Grade 8 or 9 from 16 classes and 6 schools participated in the study. METHOD: The multi‐informant design consisted of teachers’ reports of school grades, students’ reports of self‐efficacy and self‐concept (questionnaire‐based), and assessment of students’ reasoning and mathematical modelling. RESULTS: Using random‐intercept models, we found that the predictive effect of self‐efficacy on mathematical modelling withstood taking the school‐classroom‐related nested structure into account, whereas self‐concept lost its predictive value. Further, self‐efficacy fully mediated the effect of school grades on mathematical modelling. CONCLUSIONS: In line with the self‐enhancement perspective on self‐efficacy, our findings highlight the strength of motivational effects on mathematical modelling. When we take the nested structure into account, our results indicate an impact of school grades via self‐efficacy on mathematical modelling independent of students’ cognitive level or classroom. Given the diverse challenges such complex tasks present, important pedagogical and didactical recommendations, such as targeting the enhancement of students’ self‐efficacy by teachers and educational decision makers, can be drawn. John Wiley and Sons Inc. 2021-07-06 2022-03 /pmc/articles/PMC9291159/ /pubmed/34228816 http://dx.doi.org/10.1111/bjep.12443 Text en © 2021 The Authors. British Journal of Educational Psychology published by John Wiley & Sons Ltd on behalf of British Psychological Society https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
spellingShingle Original Articles
Holenstein, Mathias
Bruckmaier, Georg
Grob, Alexander
How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title_full How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title_fullStr How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title_full_unstemmed How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title_short How do self‐efficacy and self‐concept impact mathematical achievement? The case of mathematical modelling
title_sort how do self‐efficacy and self‐concept impact mathematical achievement? the case of mathematical modelling
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9291159/
https://www.ncbi.nlm.nih.gov/pubmed/34228816
http://dx.doi.org/10.1111/bjep.12443
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