This study focuses on pre-service teachers' experimentation with a game-modding process in a constructionist setting whilst they experimented with randomness embedded in wider socio-scientific issues that call for decision making under uncertainty. In this process, participants created 39 different game mods. Our observations of the participants…

Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…

A literature review establishes a working definition of recreational mathematics: a type of play which is enjoyable and requires mathematical thinking or skills to engage with. Typically, it is accessible to a wide range of people and can be effectively used to motivate engagement with and develop understanding of mathematical ideas or concepts.…

This paper brings together general principles for teaching inquiry across disciplines with those generally employed in mathematics classrooms. It describes some broad principles of teaching inquiry to first-year writing students and shows how these can be employed in the context of a course on game theory in popular culture. Although undergraduate…

Online teaching allows students to discuss their work and learn from varied media, gain nonhomogenous perspectives through global collaboration, and tackle challenging, relevant, real-world problems. In this article, the author describes ways that real-world applications encourage student exploration, how nonhomogenous perspectives challenge the…

In this article I explore some of the underlying mathematics of Poke´mon battles and describe ways that teachers at the secondary level could explore concepts of mathematical game theory in this context. I discuss various ways of representing and analyzing a Poke´mon battle using game theory and conclude with an example of applying concepts of…

The aim of this study is twofold. The first is to investigate the ability of secondary school students to understand the different distribution schemes and thus, indirectly, to contribute to the educational discussion and approach to be used for distribution problems so as to lessen reliance on the ubiquitous cross-multiplication rule in…

Ever had a roommate? Then you know that it can be difficult to share housekeeping duties. This article uses game theory to analyze situations in which there is a task to be done and two people who might do it. We then use our analysis to consider what game theory tells us about the gendered division of household labor.

The article reports and discusses a long-term qualitative study of forty 8-10-year-old students who regularly played a math game during math lessons for 9 weeks. The goal was to explore the relations between (i) some of the "pedagogical principles" that underlie the game and (ii) the "playing practice" in terms of what actually takes place when…

The traveler's dilemma is a generalization of the prisoner's dilemma which shows clearly a paradox of game theory. In the traveler's dilemma, the strategy chosen by analysis and theory seems obviously wrong intuitively. Here we develop a measure of evolutionary stability and show that the evolutionarily stable equilibrium is in some sense not very…

The assessment of knowledge and learning progress in the context of game-based learning requires novel, noninvasive, and embedded approaches. In the present paper, we introduce a mathematical framework which relates the (problem solution) behavior of a learner in the game context to the learner's available and lacking competencies. We argue that a…

Prisoner's Dilemma is a common game theory scenario in which two players must choose between acting cooperatively or out of pure self-interest. What a player decides affects not only his own outcome but also that of the other player. "Friend or Foe," a TV game show that has appeared on the cable Game Show Network (GSN), places pairs of contestants…