sh.sePublikationer
Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • harvard-anglia-ruskin-university
  • apa-old-doi-prefix.csl
  • sodertorns-hogskola-harvard.csl
  • sodertorns-hogskola-oxford.csl
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Teaching and learning the multiplication table by using multiplicative structures: Variation and crutial patterns
Södertörns högskola, Lärarutbildningen, Matematikämnets didaktik.ORCID-id: 0000-0003-0417-2574
University of Gothenburg, Sweden.
2022 (Engelska)Ingår i: Education and New Developments 2022: Volyme 1 / [ed] Mafalda Carmo, Lisboa: inScience Press, 2022, Vol. 1, s. 45-49Konferensbidrag, Publicerat paper (Refereegranskat)
Abstract [en]

This paper examines and analyzes how students learn multiplication tables, specifically the role of multiplicative structures and how these are used as students learn to master the tables. The analysis is performed in the context of the generalization process related to the teaching activity focusing students’ perception of concepts. The theoretical approach applies Davydov’s concept of theoretical generalization as perception-conception-elementary concept (PCE model) and Vergnaud’s theory of multiplicative structures in three classes: mapping rule (MR), multiplicative comparison (MC), and Cartesian product (CP). For the methodological design, Marton’s variation theory has been chosen.

This study includes two teachers and 40 students in two Year 3 classes, followed two years later by one teacher and 25 students in one Year 5 class. The analysis of the outcome is based on documented classroom observations, one-on-one interviews with students and teachers’ reflections on students’ learning outcomes. The conclusion of the study is that the generalization of multiplication is a difficult process for students, especially in the classes MC and PC, and one that sometimes results in challenges to identifying multiplicative situations and relating these to the multiplication tables. This illustrates that teaching activities and teachers’ support are necessary conditions for students’ learning. The study also shows that multiplicative structures can help students to find and systematize crucial patterns in the multiplication table, allowing them to learn the multiplication table in a more efficient and structured manner. During the one-on-one interviews, students actively searched for and found structures and solutions that did not come up during lessons. This shows that multiplicative structures are a suitable didactic tool for identifying patterns in multiplication tables, thereby facilitating learning other than by rote.

Ort, förlag, år, upplaga, sidor
Lisboa: inScience Press, 2022. Vol. 1, s. 45-49
Serie
Education and new developments, ISSN 2184-044X, E-ISSN 2184-1489
Nyckelord [en]
Multiplicative structures, multiplication table, generalization, student’s perception, elementary basic concepts.
Nationell ämneskategori
Matematik Didaktik Pedagogik
Identifikatorer
URN: urn:nbn:se:sh:diva-49209DOI: 10.36315/2022v1end010ISBN: 978-989-53614-3-4 (tryckt)OAI: oai:DiVA.org:sh-49209DiVA, id: diva2:1668340
Konferens
Education and New Developments 2022, Madeira island, June 18-20, 2022.
Anmärkning

The project has been funded by School of Natural Sciences, Technology and Environmental Studies, Södertörn university 

Tillgänglig från: 2022-06-13 Skapad: 2022-06-13 Senast uppdaterad: 2024-05-21Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltextPublisher's full text

Person

Karlsson, Natalia

Sök vidare i DiVA

Av författaren/redaktören
Karlsson, Natalia
Av organisationen
Matematikämnets didaktik
MatematikDidaktikPedagogik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
isbn
urn-nbn

Altmetricpoäng

doi
isbn
urn-nbn
Totalt: 379 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • harvard-anglia-ruskin-university
  • apa-old-doi-prefix.csl
  • sodertorns-hogskola-harvard.csl
  • sodertorns-hogskola-oxford.csl
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf