Abstract ▼ AI-Helper

The purpose of this study is to investigate the pedagogy of probability and statistics by using the Dice Game in the mathematics class activity. This article presents several areas in the statistics curriculum where important concepts can be dealt with in a hands-on way. These areas include probabil...

The purpose of this study is to investigate the pedagogy of probability and statistics by using the Dice Game in the mathematics class activity. This article presents several areas in the statistics curriculum where important concepts can be dealt with in a hands-on way. These areas include probability as decision making, experimental versus theoretical probability, expected value, and optimization. For this purpose, two research questions were established as follows: 1. How is the important concepts guidance of the probability and statistics area in mathematical activity learning using dice game? 2. What is the optimal strategy for playing the dice game? To answer these two research questions, this article explains the rules for dice game and the Diense' theory, gives examples helped understanding of students, develops the probability theory, and identifies optimal strategy for playing the game. And this article introduces the important concepts of the probability and statistics area in mathematical activity learning using dice game. Optimal strategy for playing the game is developed in the context of fair six-sided dice and the generalized to fair s-sided dice. The results abtained from this study were as follows: (1) Sometimes the important concepts of the probability and statistics are presented as a formula that students do not intuitively understand. For many students a approach using dice game to the probability and statistics can be very meaningful. The dice game has been used successfully in a variety of educational situations as an activity that not only introduces students to concepts in probability, statistics, and simulation but also fosters student interest in these concepts. (2) The probability and statistics are characterized by one of the application science related to the real life and thought that the statistics has some features different from the mathematics but belong to it. Therefore In processing for solving real problem students must be foster statistical thought.