Technology and games are the areas where learners are most interested in today's world. If these two can be brought together within the framework of learning objectives, they can be an advantage for teachers and students. This study aims to investigate the learning environment supported by game and simulation. The games were used to evaluate the basic probability knowledge of the prospective teachers, to demonstrate the role of problem solving in the formation of the mathematical knowledge, and to enable discussing mathematical ideas in a worksheet. Simulations were used for visualization and a large number of experiments. The sampling of the study, by which case study research is adopted, is comprised of 40 prospective teachers at a state university in Turkey. The data were collected by introducing nine open-ended questions by means of games, worksheets and simulation activities. The questions asked relevant to the games include making predictions about the fairness of the games, playing the games in small numbers and in big numbers and the observation of the scores, calculation of the winning probabilities of the gamers both experimentally and theoretically, and their comparisons. The process of finding out the probability information underlying the games by the prospective teachers was analyzed qualitatively by means of worksheets, simulations and in-class observation, and the ways of thinking, intuitions, estimations, strategies, and opinions about the learning situation of the participants were tried to be determined. The results obtained put forward that the learning situation that was set up simultaneously contributed to the knowledge of probability and probability teaching of the prospective teachers; and that the candidates’ opinions about the learning situation are positive.

中文翻译：

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教学游戏和基于仿真的概率

技术和游戏是学习者对当今世界最感兴趣的领域。如果可以在学习目标的框架内将这两者结合在一起，则对教师和学生来说将是一个优势。这项研究旨在调查游戏和模拟支持的学习环境。这些游戏被用来评估准教师的基本概率知识，展示问题解决在数学知识形成中的作用，并能够在工作表中讨论数学思想。模拟用于可视化和大量实验。该研究的样本（采用案例研究）由土耳其国立大学的40名准教师组成。通过游戏介绍了9个开放性问题来收集数据，工作表和模拟活动。与游戏有关的问题包括做出有关游戏公平性的预测，以小数目和大数目进行游戏以及观察分数，通过实验和理论计算游戏玩家的获胜概率以及进行比较。通过工作表，模拟和课堂观察以及定性，直觉，估计，策略和对学习状况的看法的方法，定性地分析了准教师发现游戏潜在信息的过程。试图确定参与者。提出的结果表明，同时建立的学习环境有助于未来教师的概率知识和概率教学。并且考生对学习情况的看法是积极的。