A comparative analysis of the 2009-revised curriculum and 2015-revised curriculum on the definition and introduction of continuous probability distribution
Nam Gu Heo · The Mathematical Education · 2019
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.