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
Teachers and prospective teachers’ conceptions about averages
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.ORCID iD: 0000-0002-3768-0914
Stockholm University, Faculty of Science, Department of Mathematics and Science Education.
2021 (English)In: Journal of Adult Learning, Knowledge and Innovation, E-ISSN 2631-1348, Vol. 4, no 1, p. 1-8Article in journal (Refereed) Published
Abstract [en]

In this paper, we explore prospective teachers and teachers’ conceptions about averages. The results show that when talking about which of the averages that is easiest and hardest to explain, respectively, the two groups differ in their responses. When teachers’ motivations most often are based on pedagogical explanations, the prospective teachers indicate conceptions based on personal experiences, often linked to procedures. When studying the conceptions about which of the averages that is most and least useful, the results indicate that there is no difference between the two groups. Mean is considered most useful, similar to what has been reported in previous studies, and mode is considered least useful by both groups. Few of the respondents recognize the mathematical properties of averages, particularly that “usefulness” is linked to which data that is in focus. The implications of the results are discussed.

Place, publisher, year, edition, pages
2021. Vol. 4, no 1, p. 1-8
Keywords [en]
averages, conceptions, mean, median, mode, prospective teachers, teachers
National Category
Didactics
Research subject
Mathematics Education
Identifiers
URN: urn:nbn:se:su:diva-181512DOI: 10.1556/2059.03.2019.02OAI: oai:DiVA.org:su-181512DiVA, id: diva2:1429132
Available from: 2020-05-08 Created: 2020-05-08 Last updated: 2023-03-15Bibliographically approved
In thesis
1. Mean, median, and mode in school years 4–6: A study about aspects of statistical literacy
Open this publication in new window or tab >>Mean, median, and mode in school years 4–6: A study about aspects of statistical literacy
2023 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis explores different aspects of statistical literacy such as mathematical knowledge, context knowledge, use of words, and conceptions. The focus is on measures of central tendency: mean, median, and mode, and school years 4–6 (ages 10–13). The thesis contains of five papers and the phenomenon is studied in different contexts. In the first three papers, data is generated through a questionnaire answered by prospective teachers, teachers, and students in grade 6. In papers 4–5, second hand data is generated through textbook analysis where all tasks about the measures in seven different textbook series were analysed.

Papers 1–3 showed that all respondent groups, primarily express procedural knowledge. They sometimes mix up the definitions of mean and median. Mean appears to be the most familiar measure and different contexts appropriate for mean are suggested. Median and mode appear to be less familiar, especially median which according to the students only exists in a school context. All respondent groups show several ways to express the mean using different colloquial connotations. Median and mode on the other hand do not bring any connotations, leading to difficulties to express explanations. For mode, some students used a homonym that gives a wrong meaning to the concept.  This implies that the support for understanding mean, based on colloquial words, is not available for median or mode. 

The results from paper 4 show a high proportion of procedural tasks dealing with above all quantitative values for mode. Only one textbook definition of mode exemplified with qualitative values. In paper 5, tasks were examined out of mathematical properties related to input object, transformation, and output object. Here, tasks about both mean, median, and mode were examined. The results show that the distribution of the tasks was skew, meaning that students have different opportunities to learn various mathematical properties of the three concepts, something that was even more complex given that in many tasks, the mathematical properties in focus were implicit. 

Overall, statistical literacy according to the results generated in the five different studies, appear to be pre-dominantly about numbers and procedures. Very little attention seems to be on contextual knowledge, something that is crucial in statistical literacy.  

Place, publisher, year, edition, pages
Stockholm: Department of Teaching and Learning, Stockholm University, 2023. p. 103
Keywords
Mathematics teaching, statistical literacy, mathematics teachers, prospective teachers, students, text books, school years 4–6
National Category
Didactics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:su:diva-215493 (URN)978-91-8014-238-0 (ISBN)978-91-8014-239-7 (ISBN)
Public defence
2023-05-05, hörsal 9, hus D, Universitetsvägen 10 D and online via Zoom, public link is available at the department website, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2023-04-12 Created: 2023-03-15 Last updated: 2024-06-10Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Authority records

Landtblom, KarinSumpter, Lovisa

Search in DiVA

By author/editor
Landtblom, KarinSumpter, Lovisa
By organisation
Department of Mathematics and Science Education
Didactics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 288 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