Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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
Enabling students’ participation in algebraic reasoning with ‘learning models’ as tools for theoretical work
Stockholms universitet, Humanistiska fakulteten, Institutionen för de humanistiska och samhällsvetenskapliga ämnenas didaktik.ORCID-id: 0000-0003-0764-5728
Stockholms universitet, Naturvetenskapliga fakulteten, Institutionen för matematikämnets och naturvetenskapsämnenas didaktik.ORCID-id: 0000-0002-0252-7223
Stockholms universitet, Naturvetenskapliga fakulteten, Institutionen för matematikämnets och naturvetenskapsämnenas didaktik.
Stockholms universitet, Naturvetenskapliga fakulteten, Institutionen för matematikämnets och naturvetenskapsämnenas didaktik.ORCID-id: 0000-0001-8549-9880
Visa övriga samt affilieringar
2019 (Engelska)Ingår i: NOFA7 Abstracts, 2019Konferensbidrag, Muntlig presentation med publicerat abstract (Refereegranskat)
Abstract [en]

The issue for this paper is to discuss conditions for students’ participation in theoretical classroom discussions. In order to develop students’ ability to reason and solve problems algebraically Lins and Kaput (2004) argue that it is important to introduce algebra early in mathematics education. In line with this, researchers working within the sociocultural tradition argue that this may start as early as in first grade (Lins & Kaput, 2004). The so-called Davydov programme (e.g. Schmittau, 2005) is referred to as a promising alternative type of teaching, enhancing young students’ capability to reason algebraically. Central to the Davydov programme is the concept of ’learning model’. Such models (not to be confused with mathematical models) are used to enable students’ elaboration of mathematical phenomena. The characteristics of a learning model is that it materialises central theoretical aspects of a content. Further, it creates specific conditions necessary for students to understand and elaborate on each other’s arguments. However, there are many demanding issues related to the design of such learning models that needs to be further developed. In this paper we address the following research question: What in students’ classroom discussions can be taken as signs of emergent ability to reason algebraically? In this paper we use data from two learning studies conducted in 2017–2018. One in grade 1 (age 7) with three iteratively designed and revised lessons, and one in grade 5 (age 11) with four iteratively designed and revised lessons. We focus especially on how students use learning models as tools to enforce and maintain a collective reasoning indifferent communicative situations. To identify possible algebraic reasoning we have analyzed the communicative situations by drawing upon Toulmin’s (2003) model of argumentation with claim, data, warrant and backing. The tentative results indicate that the ability to work with the learning models not only facilitated an individual student to clarify and substantiate his or her arguments, but also enabled other students to follow and elaborate on the reasoning. This paper also contributes with examples of tasks and especially how to set the tasks in motion to enable students’ theoretical work.

Ort, förlag, år, upplaga, sidor
2019.
Nyckelord [en]
Algebraic reasoning, learning activity, Davydov curriculum
Nationell ämneskategori
Didaktik
Forskningsämne
didaktik
Identifikatorer
URN: urn:nbn:se:su:diva-171424OAI: oai:DiVA.org:su-171424DiVA, id: diva2:1341020
Konferens
NOFA7​, Nordic Conference on​ Teaching and Learning in Curriculum Subjects, Stockholm, Sweden, 13–15 May, 2019
Projekt
Developing algebraic reasoning capability
Forskningsfinansiär
Skolforskningsinstitutet, 2016/151Tillgänglig från: 2019-08-07 Skapad: 2019-08-07 Senast uppdaterad: 2019-09-23Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Sök vidare i DiVA

Av författaren/redaktören
Eriksson, IngerFred, JennyNordin, Anna-KarinNyman, MartinWettergren, Sanna
Av organisationen
Institutionen för de humanistiska och samhällsvetenskapliga ämnenas didaktikInstitutionen för matematikämnets och naturvetenskapsämnenas didaktik
Didaktik

Sök vidare utanför DiVA

GoogleGoogle Scholar

urn-nbn

Altmetricpoäng

urn-nbn
Totalt: 120 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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