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Repeated Sampling with a Black Box to Make Informal Statistical Inference Accessible
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van Dijke-Droogers, Marianne; Drijvers, Paul; Bakker, Arthur – Mathematical Thinking and Learning: An International Journal, 2020
While various studies suggest that informal statistical inference (ISI) can be developed by young students, more research is needed to translate this claim into a well-founded learning trajectory (LT). As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation, and evaluation of the…
Descriptors: Statistical Inference, Grade 9, Sampling, Statistical Distributions
Grain Size and Parameter Recovery with TIMSS and the General Diagnostic Model
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Skaggs, Gary; Wilkins, Jesse L. M.; Hein, Serge F. – International Journal of Testing, 2016
The purpose of this study was to explore the degree of grain size of the attributes and the sample sizes that can support accurate parameter recovery with the General Diagnostic Model (GDM) for a large-scale international assessment. In this resampling study, bootstrap samples were obtained from the 2003 Grade 8 TIMSS in Mathematics at varying…
Descriptors: Achievement Tests, Foreign Countries, Elementary Secondary Education, Science Achievement
Reasoning about Shape as a Pattern in Variability
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Bakker, Arthur – Statistics Education Research Journal, 2004
This paper examines ways in which coherent reasoning about key concepts such as variability, sampling, data, and distribution can be developed as part of statistics education. Instructional activities that could support such reasoning were developed through design research conducted with students in grades 7 and 8. Results are reported from a…
Descriptors: Middle Schools, Grade 8, Cognitive Development, Sampling