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Title [sv]
Det naturliga språkets roll vid elevers lärande av det matematiska symbolspråket
Title [en]
The role of natural language when learning the symbolic language of mathematics
Abstract [en]
Many students have problems learning the symbolic language of mathematics. Research shows that the natural language (for example Swedish) is central to students? meaningful understanding of mathematical symbols. However, the few research frameworks that describe students? learning of the symbolic language have many limitations. There is psychological research regarding memory encoding that can help explain students? difficulties. Researchers from mathematics education and psychology will collaborate in this inter-disciplinary project and study both underlying cognitive processes and development of understanding of mathematical symbols in an educational context.We will statistically analyze experimental situations where students are given a presentation (oral or written) that contains mathematical symbols. The analysis takes into account students? previous experiences, both at macro scale, by comparing students at different educational levels, and at micro scale, by a longitudinal approach where changes in participants? understanding of a new symbol is studied over a few weeks.The purpose of this project is to create a model that describes and explains how students? understanding of mathematical symbols develops, particularly in relation to natural language. Such a model will give valuable information to understand students? difficulties in learning the symbolic language, and help to design measures to overcome these difficulties.
Publications (4 of 4) Show all publications
Wikström Hultdin, U. & Norqvist, M. (2024). Students’ reception of two alternative arrangements of mathematical symbols and words: differences in focus and text navigation. Journal of Mathematical Behavior, 75, Article ID 101159.
Open this publication in new window or tab >>Students’ reception of two alternative arrangements of mathematical symbols and words: differences in focus and text navigation
2024 (English)In: Journal of Mathematical Behavior, ISSN 0732-3123, E-ISSN 1873-8028, Vol. 75, article id 101159Article in journal (Refereed) Published
Abstract [en]

To engage with specialized subject content, students must develop adequate reading skills. In mathematics, this includes to integrate information from different semiotic resources. This study elucidates how differences in the structural connections between mathematical symbols and written language in mathematics texts can affect the reading process. With the help of eye-tracking techniques, we investigated differences in focus and navigation when 15-year-olds read task texts in two distinct designs: a traditional design with written language presented in lines and all connections based on semantics; and a design including a graphic emphasizing links between symbols and explanations. While the graphic design was found to facilitate fast interpretation of the symbol–language connections, the traditional design seemed to encourage global reading, involving more text parts. When designing texts for mathematics learning, structural connections may be chosen to adapt texts to various student groups and purposes.

Place, publisher, year, edition, pages
Elsevier, 2024
Keywords
Semiotic resources, Reading in mathematics, Text structure, Inter-semiotic connections, Eye-tracking, Representations
National Category
Educational Sciences Didactics
Research subject
didactics of mathematics
Identifiers
urn:nbn:se:umu:diva-225377 (URN)10.1016/j.jmathb.2024.101159 (DOI)2-s2.0-851939752522-s2.0-85193975252 (Scopus ID)
Funder
Swedish Research Council, 2017-03577
Available from: 2024-05-30 Created: 2024-05-30 Last updated: 2024-05-31Bibliographically approved
Bergqvist, E., Bergqvist, T., Vingsle, L., Wikström Hultdin, U. & Österholm, M. (2020). How mathematical symbols and natural language are integrated in textbooks. In: : . Paper presented at MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020..
Open this publication in new window or tab >>How mathematical symbols and natural language are integrated in textbooks
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2020 (English)Conference paper, Oral presentation only (Other academic)
Abstract [en]

In mathematical text and talk, natural language is a constant companion to mathematical symbols. The purpose of this study is to identify different types of relations between natural language and symbolic language in mathematics textbooks. Here we focus on the level of integration. We have identified examples of high integration (e.g., when symbols are part of a sentence), medium integration (e.g., when the shifts between natural and symbolic language occurs when switching to a new line), and low integration (e.g., when symbols and written words are connected by the layout).

National Category
Didactics
Identifiers
urn:nbn:se:umu:diva-168100 (URN)
Conference
MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020.
Funder
Swedish Research Council, 2017-03577
Available from: 2020-02-17 Created: 2020-02-17 Last updated: 2024-07-02Bibliographically approved
Bergqvist, E., Bergqvist, T., Vingsle, L., Wikström Hultdin, U. & Österholm, M. (2020). How mathematical symbols and natural language are used in teachers’ presentations. In: : . Paper presented at MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020..
Open this publication in new window or tab >>How mathematical symbols and natural language are used in teachers’ presentations
Show others...
2020 (English)Conference paper, Oral presentation only (Other academic)
Abstract [en]

In this study, we examine how the use of natural language varies, considering the symbolic language in procedural and conceptual aspects of mathematics.

National Category
Didactics
Identifiers
urn:nbn:se:umu:diva-168106 (URN)
Conference
MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020.
Funder
Swedish Research Council, 2017-03577
Available from: 2020-02-17 Created: 2020-02-17 Last updated: 2024-07-02Bibliographically approved
Bergqvist, E., Jonsson, B. & Österholm, M. (2020). The processing of mathematical symbols in working memory. In: : . Paper presented at MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020.
Open this publication in new window or tab >>The processing of mathematical symbols in working memory
2020 (English)Conference paper, Oral presentation only (Other academic)
Abstract [en]

This empirical study examines how different types of symbols, familiar and unfamiliar, are processed in working memory; phonologically and/or visuo-spatially.

National Category
Didactics
Identifiers
urn:nbn:se:umu:diva-168112 (URN)
Conference
MADIF-12, The twelfth Research Seminar in Mathematics Education by SMDF, Växjö, Sweden, January 14-15, 2020
Funder
Swedish Research Council, 2017-03577
Available from: 2020-02-17 Created: 2020-02-17 Last updated: 2020-02-20Bibliographically approved
Principal InvestigatorÖsterholm, Magnus
Coordinating organisation
Umeå University
Funder
Period
2018-01-01 - 2021-12-31
National Category
DidacticsLearning
Identifiers
DiVA, id: project:1572Project, id: 2017-03577_VR

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