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http://dx.doi.org/10.7468/mathedu.2020.59.1.47

A study on the understanding of mathematics preservice teachers for discrete probability distribution  

Lee, Bongju (Kyungpook National University)
Yun, Yong Sik (Jeju National University)
Rim, Haemee (Kongju National University)
Publication Information
The Mathematical Education / v.59, no.1, 2020 , pp. 47-62 More about this Journal
Abstract
Understanding the concept of probability distribution becomes more important. We considered probabilities defined in the sample space, the definition of discrete random variables, the probability of defined discrete probability distribution, and the relationship between them as knowledge of discrete probability distribution, and investigated the understanding degree of the mathematics preservice teachers. The results are as follows. Firstly, about 70% of preservice teachers who participated in this study expressed discrete probability distribution graphs in ordered pairs or continuous distribution. Secondly, with regard to the two factors for obtaining discrete probability distributions: probability for each element in the sample space and the concept of random variables that convert each element in the sample space into a real value, only 13% of the preservice teachers understood and addressed both factors. Thirdly, 39% of the preservice teachers correctly responded to whether different probability distributions can be defined for one sample space. Fourthly, when the probability of each fundamental event was determined to obtain the probability distribution of the discrete random variables defined in the undefined sample space, approximately 70% habitually calculated by the uniform probability. Finally, about 20% of preservice teachers understood the meaning and relationship of binomial distribution, discrete random variables, and sample space. In relation, clear definitions and full explanations of concept need to be provided from textbooks and a program to improve the understanding of preservice teachers need to be developed.
Keywords
discrete probability distribution; mathematics preservice teacher; teacher knowledge;
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