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Hypothetical learning trajectory on informal hypothesis testing in a probability context
Örebro University, Sweden. (Matematikdidaktik)ORCID iD: 0000-0002-6827-5508
2023 (English)In: Statistics Education Research Journal, E-ISSN 1570-1824, Vol. 22, no 2, article id 11Article in journal (Refereed) Published
Abstract [en]

A design experiment where students in Grade 5 (11–12 years old) play the Color Run game constitutes the context for investigating how students can be introduced to informal hypothesis testing. The result outlines a three-step hypothetical learning trajectory on informal hypothesis testing. In the first step, students came to favor sample space reasoning over idiosyncratic reasoning when the sample space was changed between color runs. In the second and third steps, students used degrees of variation in the distribution of the mode across samples to infer whether an unknown sample space was uniform. Students’ reasoning disclosed the logic: the larger the variation, the greater the reason for rejecting a uniform sample space.

Place, publisher, year, edition, pages
IASE/ISI , 2023. Vol. 22, no 2, article id 11
Keywords [en]
Statistics education research; Informal statistical inference; Hypothesis testing; Inferentialism; Reasons, Sample-space
National Category
Didactics
Research subject
Mathematics, Mathematical Education
Identifiers
URN: urn:nbn:se:lnu:diva-123466DOI: 10.52041/serj.v22i2.425Scopus ID: 2-s2.0-85169068968OAI: oai:DiVA.org:lnu-123466DiVA, id: diva2:1786219
Available from: 2023-08-08 Created: 2023-08-08 Last updated: 2024-09-03Bibliographically approved

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Nilsson, Per

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