To Örebro University

oru.seÖrebro universitets publikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Topic-specific characteristics of proof-related reasoning
Örebro universitet, Institutionen för naturvetenskap och teknik.ORCID-id: 0000-0002-8520-8200
2025 (engelsk)Inngår i: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, E-ISSN 1464-5211, Vol. 56, nr 4, s. 583-604Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Students’ difficulties with proofs are well documented. To remedy this, it is often recommended that reasoning and proving be focused on in all grades and content areas of school mathematics. However, proofs continue to have a marginal place in many classrooms, or are only given explicit attention in courses in Euclidean geometry. Geometry is also the most common topic for educational research on reasoning and proving. This paper compares what four other topics in secondary school mathematics – logarithms, primitive functions, definite integrals, and combinatorics – can offer in terms of opportunities to learn proof. The types and natures of reasoning in expository sections and students’ tasks in 11 Swedish and Finnish textbooks are analysed in search of similarities and differences between these topics. The results are accounted for with special focus on opportunities for reasoning about general cases. Finally, the findings are discussed in relation to mathematical aspects of the four analysed topics.

sted, utgiver, år, opplag, sider
Taylor & Francis, 2025. Vol. 56, nr 4, s. 583-604
Emneord [en]
combinatorics, integrals, logarithms, mathematics textbook, proof-related reasoning, upper secondary school
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:oru:diva-94445DOI: 10.1080/0020739X.2023.2255190ISI: 001069395400001OAI: oai:DiVA.org:oru-94445DiVA, id: diva2:1595092
Tilgjengelig fra: 2021-09-17 Laget: 2021-09-17 Sist oppdatert: 2026-01-07bibliografisk kontrollert

Open Access i DiVA

Fulltekst mangler i DiVA

Andre lenker

Forlagets fulltekst

Person

Bergwall, Andreas

Søk i DiVA

Av forfatter/redaktør
Bergwall, Andreas
Av organisasjonen
I samme tidsskrift
International Journal of Mathematical Education in Science and Technology

Søk utenfor DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 154 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf