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Predicting adaptive expertise with rational number arithmetic
BACKGROUND: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9298780/ https://www.ncbi.nlm.nih.gov/pubmed/34747023 http://dx.doi.org/10.1111/bjep.12471 |
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author | McMullen, Jake Hannula‐Sormunen, Minna M. Lehtinen, Erno Siegler, Robert S. |
author_facet | McMullen, Jake Hannula‐Sormunen, Minna M. Lehtinen, Erno Siegler, Robert S. |
author_sort | McMullen, Jake |
collection | PubMed |
description | BACKGROUND: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and procedural knowledge of rational numbers, there are substantial individual differences in adaptive rational number knowledge. AIMS: We aimed to examine how a wide range of domain‐general and mathematically specific skills and knowledge predicted different aspects of rational number knowledge, including procedural, conceptual, and adaptive rational number knowledge. SAMPLE: 173 6(th) and 7(th) grade students from a school in the southeastern US (51% female) participated in the study. METHODS: At three time points across 1.5 years, we measured students’ domain‐general and domain‐specific skills and knowledge. We used multiple hierarchal regression analysis to examine how these predictors related to rational number knowledge at the third time point. RESULT: Prior knowledge of rational numbers, general mathematical calculation knowledge, and spontaneous focusing on multiplicative relations (SFOR) tendency uniquely predicted adaptive rational number knowledge, after taking into account domain‐general and mathematically specific skills and knowledge. Although conceptual knowledge of rational numbers and general mathematical achievement also predicted later conceptual and procedural knowledge of rational numbers, SFOR tendency did not. CONCLUSION: Results suggest expanding investigations of mathematical development to also explore different features of adaptive expertise as well as spontaneous mathematical focusing tendencies. |
format | Online Article Text |
id | pubmed-9298780 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-92987802022-07-21 Predicting adaptive expertise with rational number arithmetic McMullen, Jake Hannula‐Sormunen, Minna M. Lehtinen, Erno Siegler, Robert S. Br J Educ Psychol Original Articles BACKGROUND: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and procedural knowledge of rational numbers, there are substantial individual differences in adaptive rational number knowledge. AIMS: We aimed to examine how a wide range of domain‐general and mathematically specific skills and knowledge predicted different aspects of rational number knowledge, including procedural, conceptual, and adaptive rational number knowledge. SAMPLE: 173 6(th) and 7(th) grade students from a school in the southeastern US (51% female) participated in the study. METHODS: At three time points across 1.5 years, we measured students’ domain‐general and domain‐specific skills and knowledge. We used multiple hierarchal regression analysis to examine how these predictors related to rational number knowledge at the third time point. RESULT: Prior knowledge of rational numbers, general mathematical calculation knowledge, and spontaneous focusing on multiplicative relations (SFOR) tendency uniquely predicted adaptive rational number knowledge, after taking into account domain‐general and mathematically specific skills and knowledge. Although conceptual knowledge of rational numbers and general mathematical achievement also predicted later conceptual and procedural knowledge of rational numbers, SFOR tendency did not. CONCLUSION: Results suggest expanding investigations of mathematical development to also explore different features of adaptive expertise as well as spontaneous mathematical focusing tendencies. John Wiley and Sons Inc. 2021-11-08 2022-06 /pmc/articles/PMC9298780/ /pubmed/34747023 http://dx.doi.org/10.1111/bjep.12471 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-nc-nd/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by-nc-nd/4.0/ (https://creativecommons.org/licenses/by-nc-nd/4.0/) License, which permits use and distribution in any medium, provided the original work is properly cited, the use is non‐commercial and no modifications or adaptations are made. |
spellingShingle | Original Articles McMullen, Jake Hannula‐Sormunen, Minna M. Lehtinen, Erno Siegler, Robert S. Predicting adaptive expertise with rational number arithmetic |
title | Predicting adaptive expertise with rational number arithmetic |
title_full | Predicting adaptive expertise with rational number arithmetic |
title_fullStr | Predicting adaptive expertise with rational number arithmetic |
title_full_unstemmed | Predicting adaptive expertise with rational number arithmetic |
title_short | Predicting adaptive expertise with rational number arithmetic |
title_sort | predicting adaptive expertise with rational number arithmetic |
topic | Original Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9298780/ https://www.ncbi.nlm.nih.gov/pubmed/34747023 http://dx.doi.org/10.1111/bjep.12471 |
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