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
Att uppfatta noll: En fenomenografisk studie om elevers uppfattningar av det matematiska begreppet noll i förskoleklass och årskurs 1
Jönköping University, School of Education and Communication, HLK, Practice Based Educational Research, Mathematics Education Research. Jönköping University, School of Education and Communication, HLK, School Based Research.
Jönköping University, School of Education and Communication, HLK, Practice Based Educational Research, Mathematics Education Research. Jönköping University, School of Education and Communication, HLK, School Based Research.
2025 (Swedish)Independent thesis Basic level (professional degree), 10 credits / 15 HE creditsStudent thesisAlternative title
Perceiving Zero : A Phenomenographic Study of Students' Conceptions of the Mathematical Concept of Zero in Preschool and Year 1 (English)
Abstract [sv]

Detta examensarbete undersöker hur elever i förskoleklass och årskurs 1 uppfattar det matematiska begreppet noll. Studien utgår från en fenomenografisk ansats och använder variationsteori som teoretiskt ramverk för att analysera kvalitativt skilda sätt att uppfatta noll. Datainsamlingen har skett genom semistrukturerade intervjuer med elva elever från två skolor. Analysen resulterade i sex beskrivningskategorier som speglar variation av uppfattningar, från att se noll som en visuell form eller ”ingenting” till att uppfatta dess roll i det matematiska positionssystemet och som neutralt element i räkneoperationer. Fyra av beskrivningskategorierna kunde organiseras i ett hierarkiskt utfallsrum utifrån begreppslig komplexitet.  Resultatet visar att elever ofta växlar mellan olika uppfattningar beroende på sammanhang. Studien betonar vikten av att undervisningen stödjer denna begreppsliga utveckling genom att synliggöra variation och skapa kontraster, så att elever får möjlighet att urskilja kritiska aspekter av noll – vilket i sin tur kan lägga en grund för fortsatt matematiskt lärande.

Abstract [en]

This thesis investigates how students in preschool class and first grade perceive the mathematical concept of zero. The study is based on a phenomenographic approach and uses variation theory as a theoretical framework to analyze qualitatively different ways of understanding zero.  Data was collected through semi-structured interviews with eleven students from two schools. The analysis resulted in six descriptive categories reflecting variations in perception—ranging from viewing zero as a visual form or “nothing,” to recognizing its role in the positional number system and as a neutral element in arithmetic operations. Four of the categories were organized into a hierarchical outcome space based on conceptual complexity. The results show that students often shift between different perceptions depending on context. The study emphasizes the importance of instruction that supports conceptual development by highlighting variation and creating contrasts, enabling students to discern critical aspects of zero—thereby laying a foundation for continued mathematical learning.

Place, publisher, year, edition, pages
2025. , p. 36
Keywords [en]
zero, number sense, phenomenography, variation theory, preschool class, grade 1
Keywords [sv]
noll, taluppfattning, fenomenografi, variationtsteori, förskoleklass, årskurs 1
National Category
Mathematical sciences Mathematical Analysis
Identifiers
URN: urn:nbn:se:hj:diva-68317OAI: oai:DiVA.org:hj-68317DiVA, id: diva2:1966709
Subject / course
HLK, Mathematics for teaching and learnin
Supervisors
Examiners
Available from: 2025-06-12 Created: 2025-06-10 Last updated: 2025-10-13Bibliographically approved

Open Access in DiVA

fulltext(4430 kB)196 downloads
File information
File name FULLTEXT01.pdfFile size 4430 kBChecksum SHA-512
b931c3985bf7719b5eab9788c55230022ee9b37f37494541a99ea0a02cf3ad908faf74baf605fac3de285cc47a1c44b540b548db195c848165e3a5f5612f24f2
Type fulltextMimetype application/pdf

By organisation
Mathematics Education ResearchHLK, School Based Research
Mathematical sciencesMathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
Total: 199 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: 242 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