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Arithmetic and algebraic knowledge in student learning of concepts
Södertörn University, Teacher Education, Mathematics Education.ORCID iD: 0000-0003-0417-2574
University of Gothenburg, Sweden.
2023 (English)In: Education and New Development 2023: Volume 1 / [ed] Mafalda Carmo, World Institute for Advanced Research and Science (WIARS), Portugal, Lisboa, Portugal: inSciencePress , 2023, Vol. 1, p. 3-7Conference paper, Published paper (Refereed)
Abstract [en]

Current research deals with students’ arithmetical and algebraical knowledge, with focus on a conceptual connection, and the relationship between two aspects of knowledge. The content in question is rational numbers, rational equations and problem-solving about proportion and ratio in grades 7, 8 and 9. The method contains three tests given to 400 students in grades 7–9. Tools for analysis were theories of generalizing arithmetic into algebra (Kieran, 2004) and the relationship between arithmetic and algebra in a conceptual context (Kaput, 2008). 

Current research shows that students’ knowledge of algebra and arithmetic often has a limited conceptual connection and a weak relationship. Their knowledge of arithmetic operations and solving rational equations use to be just procedural and rely on formulas learnt in a procedural way and often mixed up. The study also shows that students’ procedural strategies in finding formulas suitable for solving the equations, as well as carrying out the corresponding calculations, were often insufficient.  

The study pays attention to shortcomings in students' conceptualization of arithmetic operations with rational numbers and how to apply them solving rational equations. One reason for this is lack of continuity in instruction and learning.  

Place, publisher, year, edition, pages
Lisboa, Portugal: inSciencePress , 2023. Vol. 1, p. 3-7
Series
Education and New Developments 2023, ISSN 2184-044X, E-ISSN 2184-1489
Keywords [en]
Rational numbers and algebra, conceptual knowledge, students’ arithmetic and algebraic knowledge
National Category
Mathematics Didactics Educational Sciences
Research subject
Studies in the Educational Sciences
Identifiers
URN: urn:nbn:se:sh:diva-51945ISBN: 978-989-35106-3-6 (print)OAI: oai:DiVA.org:sh-51945DiVA, id: diva2:1781396
Conference
International Conference on Education and New Developments Lisbon, Portugal, June 24-26, 2023.
Funder
Södertörn UniversityAvailable from: 2023-07-08 Created: 2023-07-08 Last updated: 2023-12-05Bibliographically approved

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Karlsson, Natalia

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • 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
  • 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