A systematic investigation of the link between rational number processing and algebra ability.
Recent research suggests that fraction understanding is predictive of algebra ability; however, the relative contributions of various aspects of rational number knowledge are unclear. Furthermore, whether this relationship is notation-dependent or rather relies upon a general understanding of ration...
| Publicado en: | British Journal of Psychology Vol. 109; no. 1; pp. 99 - 118 |
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| Autores principales: | , |
| Formato: | Artículo |
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Wiley-Blackwell
Feb2018
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=127113120&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 127113120 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 00071269 BJP jtl: British Journal of Psychology issn: 00071269 maglogo: Y pubinfo: dt: Feb2018 vid: 109 iid: 1 pid: 480 pub: Wiley-Blackwell artinfo: ui: 127113120 10.1111/bjop.12244 ppf: 99 ppct: 19 formats: fmt: – @attributes: type: T – @attributes: type: P size: 191KB tig: atl: A systematic investigation of the link between rational number processing and algebra ability. aug: au: Hurst, Michelle Cordes, Sara affil: Department of Psychology, Boston College su: College students Learning Health occupations students Mathematics sug: subj: College students Learning Health occupations students Mathematics keyword: algebra decimals fractions numerical magnitude knowledge procedural knowledge algebra decimals fractions numerical magnitude knowledge procedural knowledge ab: Recent research suggests that fraction understanding is predictive of algebra ability; however, the relative contributions of various aspects of rational number knowledge are unclear. Furthermore, whether this relationship is notation-dependent or rather relies upon a general understanding of rational numbers (independent of notation) is an open question. In this study, college students completed a rational number magnitude task, procedural arithmetic tasks in fraction and decimal notation, and an algebra assessment. Using these tasks, we measured three different aspects of rational number ability in both fraction and decimal notation: (1) acuity of underlying magnitude representations, (2) fluency with which symbols are mapped to the underlying magnitudes, and (3) fluency with arithmetic procedures. Analyses reveal that when looking at the measures of magnitude understanding, the relationship between adults' rational number magnitude performance and algebra ability is dependent upon notation. However, once performance on arithmetic measures is included in the relationship, individual measures of magnitude understanding are no longer unique predictors of algebra performance. Furthermore, when including all measures simultaneously, results revealed that arithmetic fluency in both fraction and decimal notation each uniquely predicted algebra ability. Findings are the first to demonstrate a relationship between rational number understanding and algebra ability in adults while providing a clearer picture of the nature of this relationship. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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