Uncovering the interplay between drawings, mental representations, and arithmetic problem-solving strategies in children and adults.
There is an ongoing debate in the scientific community regarding the nature and role of the mental representations involved in solving arithmetic word problems. In this study, we took a closer look at the interplay between mental representations, drawing production, and strategy choice. We used dual...
| Publicado en: | Memory & Cognition Vol. 53; no. 1; pp. 76 - 96 |
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| Autores principales: | , , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Jan2025
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| Materias: | |
| 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=182537770&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 182537770 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 0090502X MEG jtl: Memory & Cognition issn: 0090502X maglogo: N pubinfo: dt: Jan2025 vid: 53 iid: 1 pid: 237 pub: Springer Nature artinfo: ui: 182537770 10.3758/s13421-024-01523-w ppf: 76 ppct: 20 formats: fmt: – @attributes: type: T – @attributes: type: P size: 1.8MB tig: atl: Uncovering the interplay between drawings, mental representations, and arithmetic problem-solving strategies in children and adults. aug: au: Gros, Hippolyte Thibaut, Jean-Pierre Sander, Emmanuel affil: https://ror.org/043htjv09 CY Cergy Paris University, Paragraphe Lab, Gennevilliers, France https://ror.org/03k1bsr36 Université de Bourgogne, LEAD-CNRS UMR 5022, Dijon, France https://ror.org/01swzsf04 University of Geneva, IDEA Lab, Geneva, Switzerland su: Mental health Task performance Schools Problem solving Psychology Children Adults Cognitive testing Mathematics Research funding Conceptual models Drawing Strategic planning Medical coding Semantic memory Evaluation sug: subj: Mental health Task performance Schools Problem solving Psychology Children Adults Offices of Mental Health Practitioners (except Physicians) All Other Miscellaneous Schools and Instruction Elementary and Secondary Schools Cognitive testing Mathematics Research funding Conceptual models Drawing Strategic planning Medical coding Semantic memory Evaluation keyword: Context effects Mathematical cognition Mental models Psychology and Cognitive Sciences Psychology Context effects Mathematical cognition Mental models Psychology and Cognitive Sciences Psychology ab: There is an ongoing debate in the scientific community regarding the nature and role of the mental representations involved in solving arithmetic word problems. In this study, we took a closer look at the interplay between mental representations, drawing production, and strategy choice. We used dual-strategy isomorphic word problems sharing the same mathematical structure, but differing in the entities they mentioned in their problem statement. Due to the non-mathematical knowledge attached to these entities, some problems were believed to lead to a specific (cardinal) encoding compatible with one solving strategy, whereas other problems were thought to foster a different (ordinal) encoding compatible with the other solving strategy. We asked 59 children and 52 adults to solve 12 of those arithmetic word problems and to make a diagram of each problem. We hypothesized that the diagrams of both groups would display prototypical features indicating either a cardinal representation or an ordinal representation, depending on the entities mentioned in the problem statement. Joint analysis of the drawing task and the problem-solving task showed that the cardinal and ordinal features of the diagrams are linked with the hypothesized semantic properties of the problems and, crucially, with the choice of one solving strategy over another. We showed that regardless of their experience, participants' strategy use depends on their problem representation, which is influenced by the non-mathematical information in the problem statement, as revealed in their diagrams. We discuss the relevance of drawing tasks for investigating mental representations and fostering mathematical development in school. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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