Mid Sweden University

miun.sePublications
Planned maintenance
A system upgrade is planned for 10/12-2024, at 12:00-13:00. During this time DiVA will be unavailable.
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
Interplay between modes in mathematics textbooks
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Mathematics, and Science Education (2023-).ORCID iD: 0000-0002-5981-3722
Umeå Universitet.ORCID iD: 0000-0003-3009-3159
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Mathematics, and Science Education (2023-). Umeå Universitet.
2023 (English)In: Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education / [ed] M. Ayalon, B. Koichu, R. Leikin, L. Rubel & M. Tabach, Haifa, Israel: PME , 2023, Vol. 1, p. 262-262Conference paper, Oral presentation with published abstract (Refereed)
Abstract [en]

The use of different modes (e.g., words, mathematical symbols, images) is central to encounter different perspectives of the same mathematical idea, and a combination of different modes generally contribute to a deeper understanding, than each mode separately (O'Halloran, 2005). At the same time, research has shown that combinations of modes, e.g., in mathematical textbooks, are challenging for students to interpret (Norberg, 2019). This on-going study contributes to the fields understanding of the complexity of interplay between modes by using Engebretsen’s (2012) theory of the necessity of balance between cohesion and tension to analyse how modes are used when introducing new mathematical ideas in textbooks.We have delimited our analysis to the introduction of equality and of subtraction in three commonly used textbooks for first grade students. Figure 1 shows an example of an introduction of equality. In this example, we identified one type of cohesion between the use of circles (images) in two groups, the numerals with an equal sign between (symbols), and the words “equal numbers” and “is equal to” in the yellow box. These modes address the same objects in the same way, that is, there is cohesion. At the same time, there are no symbols present in the exercise below. Students should only circle an equal number of objects found in the picture. Thus, there is a type of tension between the yellow box and the exercise since the different modes do not have the same role in these different parts. Further analysis will identify different types of cohesion and tension between modes, before examining how these are handled by students.

Place, publisher, year, edition, pages
Haifa, Israel: PME , 2023. Vol. 1, p. 262-262
National Category
Didactics
Identifiers
URN: urn:nbn:se:miun:diva-49524Scopus ID: 2-s2.0-85180786361ISBN: 978-965-93112-1-7 (print)OAI: oai:DiVA.org:miun-49524DiVA, id: diva2:1804351
Conference
The 46th Conference of the International Group for the Psychology of Mathematics Education, PME46, Haifa, Israel.
Projects
Funktionella läromedel i matematik
Funder
Swedish Institute for Educational ResearchAvailable from: 2023-10-12 Created: 2023-10-12 Last updated: 2024-01-09Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Scopushttps://www.igpme.org/publications/current-proceedings/

Authority records

Johansson, HelenaNorberg, MalinÖsterholm, Magnus

Search in DiVA

By author/editor
Johansson, HelenaNorberg, MalinÖsterholm, Magnus
By organisation
Department of Engineering, Mathematics, and Science Education (2023-)
Didactics

Search outside of DiVA

GoogleGoogle Scholar

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 61 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