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http://dx.doi.org/10.7468/mathedu.2019.58.4.531

A comparative analysis of the 2009-revised curriculum and 2015-revised curriculum on the definition and introduction of continuous probability distribution  

Heo, Nam Gu (Daejeon Songchon Highschool)
Publication Information
The Mathematical Education / v.58, no.4, 2019 , pp. 531-543 More about this Journal
Abstract
Continuous probability distribution was one of the mathematics concept that students had difficulty. This study analyzed the definition and introduction of the continuous probability distribution under the 2009-revised curriculum and 2015-revised curriculum. In this study, the following subjects were studied. Firstly, definitions of continuous probability variable in 'Probability and Statistics' textbook developed under the 2009-revised curriculum and 2015-revised curriculum were analyzed. Secondly, introductions of continuous probability distribution in 'Probability and Statistics' textbook developed under the 2009-revised curriculum and 2015-revised curriculum were analyzed. The results of this study were as follows. First, 8 textbooks under the 2009-revised curriculum defined the continuous probability variable as probability variable with all the real values within a range or an interval. And 1 textbook under the 2009-revised curriculum defined the continuous probability variable as probability variable when the set of its value is uncountable. But all textbooks under the 2015-revised curriculum defined the continuous probability variable as probability variable with all the real values within a range. Second, 4 textbooks under the 2009-revised curriculum and 4 textbooks under 2015-revised curriculum introduced a continuous random distribution using an uniformly distribution. And 5 textbooks under the 2009-revised curriculum and 5 textbooks under the 2015-revised curriculum introduced a continuous random distribution using a relative frequency density.
Keywords
continuous probability variable; continuous probability distribution; textbook analysis; 2015-revised curriculum;
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Times Cited By KSCI : 4  (Citation Analysis)
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