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Autor/inn/enMaffia, Andrea; Mariotti, Maria Alessandra
TitelFrom Action to Symbols: Giving Meaning to the Symbolic Representation of the Distributive Law in Primary School
QuelleIn: Educational Studies in Mathematics, 104 (2020) 1, S.25-40 (16 Seiten)Infoseite zur Zeitschrift
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ZusatzinformationORCID (Maffia, Andrea)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0013-1954
DOI10.1007/s10649-020-09944-5
SchlagwörterSymbols (Mathematics); Mathematics Instruction; Elementary School Mathematics; Arithmetic; Grade 2; Elementary School Students; Mathematics Achievement; Teacher Role; Scaffolding (Teaching Technique)
AbstractThe use of artifacts to introduce the distributive law of multiplication over addition in primary school is a diffused approach: it is possible to find pre-constructed learning trajectories in instructional materials. However, it is still unclear how the teacher might support his/her students in transitioning from concrete to symbolic representations of the distributive law. In the theoretical frame of the Theory of Semiotic Mediation, we report on a study where Laisant's table, an artifact embodying the rectangular model of multiplication, is used to introduce distributive law in second grade. Taking a microanalytical approach, we show how a group of students connects the representation provided by the artifact with the symbolic representation of the arithmetic property (as equivalence of numerical sentences). Two different semiotic chains are identified and presented, showing the continuity between the activity with the artifact and the mathematical signs emerging in following activities and promoted by tasks specifically designed. The role of the teacher in triggering and scaffolding this process is highlighted. (As Provided).
AnmerkungenSpringer. Available from: Springer Nature. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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