The Study of Learning and Teaching Process of Statistics in Mathematics Education: Based on Methodological Knowledge as Characteristics of Statistics

Abstract

 The purpose of this paper is to reveal the ideal statistics learning and teaching process.  It is not the same process as that of mathematics, such as algebra or geometry, but inherent in statistics.  The knowledge and competence of statistics is required in many daily situations.  It is, however, pointed out that statistics is taught so deterministically like mathematics that statistics is not learned appropriately.   

　　 For achieving this purpose, two problems are worked on.  The first is to reveal what should be learned in statistics domain based on characteristics of statistics.  The second is to reveal it based on analysis from the Shimada’s model of mathematical activities how learning should be carried out in statistics domain.  As a result, it was revealed that it was necessary for statistics concepts to be learned as methodological knowledge and that statistics concepts were learned throughout the statistical problem solving process.  Finally, the learning instruction that is inherent in the statistics domain is illustrated in the Fig. below.