Learning to reason from samples

Author:

Ben-Zvi Dani,Bakker Arthur,Makar Katie

Abstract

AbstractThe goal of this article is to introduce the topic of learning to reason from samples, which is the focus of this special issue of Educational Studies in Mathematics on statistical reasoning. Samples are data sets, taken from some wider universe (e.g., a population or a process) using a particular procedure (e.g., random sampling) in order to be able to make generalizations about this wider universe with a particular level of confidence. Sampling is hence a key factor in making reliable statistical inferences. We first introduce the theme and the key questions this special issue addresses. Then, we provide a brief literature review on reasoning about samples and sampling. This review sets the grounds for the introduction of the five articles and the concluding reflective discussion. We close by commenting on the ways to support the development of students’ statistical reasoning on samples and sampling.

Publisher

Springer Science and Business Media LLC

Subject

Education,General Mathematics

Reference56 articles.

1. Aberson, C. L., Berger, D. E., Healy, M. R., Kyle, D., & Romero, V. L. (2000). Evaluation of an interactive tutorial for teaching the Central Limit Theorem. Teaching of Psychology, 27(4), 289–291.

2. Bakker, A. (2004). Design research in statistics education: On symbolizing and computer tools. Utrecht, the Netherlands: CD Beta Press.

3. Bakker, A. (2007). Diagrammatic reasoning and hypostatic abstraction in statistics education. Semiotica, 164, 9–29.

4. Bakker, A., & Derry, J. (2011). Lessons from inferentialism for statistics education. Mathematical Thinking and Learning, 13(1–2), 5–26.

5. Bakker, A., & Frederickson, A. (2005). Comparing and distributing growing samples by hand and with a computer tool. In W. J. Masalski (Ed.), Technology-supported mathematics learning environments (pp. 75–91). Reston, VA: National Council of Teachers of Mathematics.

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