Abstract
Histograms are widely used and appear easy to understand. Research nevertheless indicates that students, teachers and researchers often misinterpret these graphical representations. Hence, the research question addressed in this paper is: What are the conceptual difficulties that become manifest in the common misinterpretations people have when constructing or interpreting histograms? To identify these conceptual difficulties, we conducted a narrative systematic literature review and identified 86 publications reporting or containing misinterpretations. The misinterpretations were clustered and—through abduction—connected to difficulties with statistical concepts. The analysis revealed that most of these conceptual difficulties relate to two big ideas in statistics: data (e.g., number of variables and measurement level) and distribution (shape, centre and variability or spread). These big ideas are depicted differently in histograms compared to, for example, case-value plots. Our overview can help teachers and researchers to address common misinterpretations more generally instead of remediating them each individually.
| Original language | English |
|---|---|
| Pages (from-to) | 100291 |
| Number of pages | 26 |
| Journal | Educational Research Review |
| Volume | 28 |
| Early online date | 18 Sept 2019 |
| DOIs | |
| Publication status | Published - Sept 2019 |
Bibliographical note
Includes graphical abstract and video abstractKeywords
- statistics education
- histogram
- big ideas of statistics
- misconception
- statistical concepts
- statistical knowledge for teaching (SKT)
Fingerprint
Dive into the research topics of 'Conceptual difficulties when interpreting histograms: A review'. Together they form a unique fingerprint.Research output
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Using machine learning to understand students' gaze patterns on graphing tasks. Invited Paper - Refereed
Lyford, A. & Boels, L., Dec 2022, p. 1-6.Research output: Contribution to conference › Paper › Academic
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Eye tracking secondary school students’ strategies when interpreting statistical graphs
Boels, L. B. M. M., Bakker, A. & Drijvers, P. H. M., Jul 2019, Proceedings of the 43rd Conference of the International Group for the Psychology of Mathematics Education: Improving access to the power of mathematics. Graven, M., Venkat, H., Essien, A. A. & Vale, P. (eds.). Pretoria, South-Africa: PME, Vol. 2. p. 113-120 8 p.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
Open AccessFile -
Het FIzier gericht op… wat elke wiskundedocent zou moeten weten over histogrammen
Boels, L. B. M. M., Feb 2019, In: Euclides. 94, 4, p. 10-13 4 p.Translated title of the contribution :What every teacher should know about histograms Research output: Contribution to journal › Article › Professional
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Kleintje didactiek - histodot - een nieuw type grafiek
Boels, L. B. M. M., Mar 2019, In: Euclides. 94, 5, p. 31Translated title of the contribution :Little didactics - histodot - a new kind of graph Research output: Contribution to journal › Article › Professional
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Video: Designing embodied tasks for statistical literacy: Presentation at the mathematics education seminar
Boels, L., 2019Research output: Non-textual form › Digital or Visual Products › Academic
Open Access
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