Basic modelling of uncertainty: Young students’ mental models

被引：8

作者：

Eichler A. ^{[1
]}

Vogel M. ^{[2
]}

机构：

[1] University of Education Freiburg, Freiburg

[2] University of Education Heidelberg, Heidelberg

来源：

ZDM | 2012年 / 44卷 / 7期

关键词：

Mental Model; Data Generation; Complexity Level; Mental Simulation; Human Object;

D O I：

10.1007/s11858-012-0451-9

中图分类号：

学科分类号：

摘要：

This paper focuses on a research programme that aims to explore students’ mental models when acting within elementary situations of uncertainty before stochastics have been addressed in school. In order to frame our research, we begin by reporting briefly on the recent history of research in stochastics education. Then, we discuss the main aspects of our theoretical foundation concerning the research programme. Afterwards we restrict our discussion to an exploratory study aiming to further develop our theoretical framework, describing the development of tasks representing situations of uncertainty and the method of the exploratory study involving students of grade 4 and grade 6. Finally, from the perspective of theory development, we discuss the results of analysing students’ solutions gained through quantitative analysis of tests and qualitative analysis of written rationales and of interviews. We conclude our paper with a discussion of our research results and potential future research questions. © FIZ Karlsruhe 2012.

引用

页码：841 / 854

页数：13

共 31 条

[11] Johnson-Laird P.N., Mental models, (1983)
[12] Jones G.A., Langrall C.W., Mooney E.S., Research in probability, Second handbook of research on mathematics teaching and learning, pp. 909-956, (2007)
[13] Jones G.A., Langrall C.W., Thornton C.A., Mogill A.T., Students' probabilistic thinking in instruction, Journal for Research in Mathematics Education, 30, pp. 487-519, (1999)
[14] Jones G.A., Thornton C.A., An overview of research into the teaching and learning of probability, Exploring probability in school: Challenges for teaching and learning, pp. 65-92, (2005)
[15] Kahneman D., Thinking fast and slow, (2011)
[16] Kahneman D., Tversky A., Subjective probability: A judgment of representativeness, Cognitive Psychology, 3, pp. 430-454, (1972)
[17] Kintsch W., Comprehension: A paradigm for cognition, (1998)
[18] Mayring P., Qualitative Inhaltsanalyse, (2003)
[19] Mokros J., Russel S.J., Children's concepts of average and representativeness, Journal for Research in Mathematics Education, 26, 1, pp. 20-39, (1995)
[20] Piaget J., Inhelder B., The origin of the idea of chance in children, (1975)

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