Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Visa-att-uppgifter på gymnasiet: Hur bevisar och förklarar elever på gymnasiet matematiska påståenden?
Karlstad University.
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Proofs in the Swedish secondary school : How do students prove and explain mathematical propositions? (English)
Abstract [sv]

I den här uppsatsen undersöks en grupp gymnasieelevers förmågor när det gäller att lösa den typ av matematikuppgifter som kallas visa-att-uppgifter. Denna typ av uppgifter består i att verifiera matematiska påståenden. Uppgifter har valts från underområdena heltal, geometri och avancerade aktuella begrepp. Gymnasiets båda studieförberedande spår och två av inledande matematikkurserna är representerade.Undersökningen är kvasi-empirisk och bygger på elevers lösningar och dessa analyseras uti-från forskning på området. Främst används Balacheffs fyra utförandenivåer och de tre förmågorna begrepps-, resonemangs- och kommunikationsförmågan.Resultatet är en kvantitativ beskrivning av elevernas lösningar där nivåer och förmågor utgör variabler. En kvalitativ beskrivning utan specifik metod är också med.

Abstract [en]

In this thesis, a group of secondary school students’ competencies are investigated specific to a certain type of exercises called show-that-exercises. These exercises consist of demonstrating the correctness of mathematical propositions and have been chosen from the sub contents whole numbers, geometry and advanced concepts. Both secondary schools’ preparatory tracks and two of the first mathematic courses are represented.The survey is a quasi-empirical field experiment and rests on students’ solutions to exercises and these are analysed in accordance with research on the topic. Primarily Balacheffs’ four levels of proofs are used, and the three competencies key concepts, reasoning and communica-tion are in focus.The result is a quantitative description of the pupils’ solutions with the four levels and the three competencies as variables. A qualitative description without specific method is included.

Place, publisher, year, edition, pages
2019. , p. 21
Keywords [en]
reasoning competency, proving, communication competency, show-that, upper secondary school.
Keywords [sv]
resonemangsförmågan, bevis, kommunikationsförmågan, visa-att, gymnasiet.
National Category
Didactics
Identifiers
URN: urn:nbn:se:kau:diva-71531OAI: oai:DiVA.org:kau-71531DiVA, id: diva2:1296342
Subject / course
Teacher Education - Mathematics
Educational program
Teacher education
Supervisors
Examiners
Available from: 2019-04-30 Created: 2019-03-14 Last updated: 2019-04-30Bibliographically approved

Open Access in DiVA

Arkivfil(1145 kB)14 downloads
File information
File name FULLTEXT02.pdfFile size 1145 kBChecksum SHA-512
6562fe0af72b60443206439d2e4c881c12cf098f63f36089ef0a0675798b5f7d9c9056b0e207ee0e8961af482b8022d37ef4bd98ad7981155879141beedaa992
Type fulltextMimetype application/pdf

By organisation
Karlstad University
Didactics

Search outside of DiVA

GoogleGoogle Scholar
Total: 14 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 19 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf