Empirical Research in Understanding Probability
Empirical Research in Understanding Probability
复制标题
理解概率的实证研究
DOI：
10.1007/978-94-011-3532-0_3
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
H. Bentz
中科院分区：
文献类型：
--
作者：
M. Borovcnik;H. Bentz
从历史发展和哲学思想的分析，可以看出或然性的多面性。柯尔莫哥洛夫的公理结构并没有反映出思想的复杂性。悖论的丰富不仅发生在学科的历史发展中，也表现在个体的学习过程中。误解是理解和接受理论思想的障碍。概率思维的实证研究旨在从理论和个人的角度澄清和分类这种误解。我们从批判的角度提出了数学心理学和数学教学论的主要研究思想。我们解释被试对实验情境的反应的方法将是直觉和官方数学的补充，这特别有助于将想法转移到实际教学中。
The analysis of historical development and philosophical ideas has shown the multifaceted character of probability. Kolmogorov's axiomatic structure does not reflect the complexity of ideas. The abundance of paradoxes not only occurred in the historical development of the discipline, it is also apparent in the individual learning process. Misconceptions are obstacles to comprehending and accepting theoretical ideas. Empirical research on probabilistic thinking aims to clarify and classify such misconceptions from both the theoretical as well as the individual's perspective. We present major research ideas of psychology and didactics of mathematics from a critical perspective. Our method of interpreting subjects' responses to experimental situations will be a complementarity of intuitions and official mathematics which is especially helpful for transferring ideas to actual teaching.