2016 年 22 巻 1 号 p. 9-21
The purpose of this paper is to clarify a process of teaching and learning about data analysis and probability from the perspective of mathematical literacy. For this purpose, firstly it was pointed out that it was necessary to learn descriptive statistics and probability comprehensively while utilizing those as inferential statistics in order to learn statistics and probability as mathematical literacy. That was why to connect between statistics and probability positively. And I considered teaching and learning incorporating structureoriented mathematical processes into application-oriented processes as a form of teaching and learning to foster today’s mathematical literacy. Such process of a teaching and learning mathematics while utilizing mathematics for solving a problem of the real world matched Lesh’s “model elicit activity” and “model exploration activity”. In considering lesson based on those activities, it was clarified that a probability concept was developed as “validity” to evaluate and deny the statistics concept that was “means” of the data analysis. Furthermore, it was thought that such a process of the learning and teaching to connect statistics and probability could be realize by “refining models” to evaluate and deny models from a viewpoint of sharability with others and reusability in other situation.