数学教育の授業研究(3報)- まぐれ当りの効果について -

概要

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This report introduces a number of lectures given by the author since 2004, which are planned for education majors. In this paper a probability model is focussed to simulate a written test situation where the examinee may try to hit a right answer by chance.To understand how to form the probability model, an experiment is carried by using lottery consisting of four selections. Then the students form and calculate the experimental model which consists of 5 questions each of which has 4 selections.On the other hand a theoretical model is introduced by using bi-nominal distribution. To apply this model, it is compared to the experimental model using lottery.At first we deal the model from examinees view point, then it is reformed from a marker's view point, since some answers of the same score may contain right selection by chance. By means of this procedure the examinee's real ability can then be estimated. Students are expected to approach to the result step by step through effort and discussion, and a report is asked for as a result.