The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…

An educational lattice model is proposed for the investigation of the influence of the density and indirectly of the pressure on the chemical equilibrium of the ideal gas phase reaction A [equilibrium] 2B. The model can be introduced by a board game simulating a stochastic process. This game can also be used to set up a corresponding computer…

This study considers probability models as tools for both making informal statistical inferences and building stronger conceptual connections between data and chance topics in teaching statistics. In this paper, we aim to explore pre-service mathematics teachers' use of probability models for a chance game, where the sum of two dice matters in…

Interdisciplinary and collaborative projects between industry and academia provide exceptional opportunities for learning. Project Sanitarium is a serious game for Windows PC and Tablet which aims to embed learning about tuberculosis (TB) through the player taking on the role of a doctor and solving cases across the globe. The project developed as…

This work is part of a research project that aims to enhance engineering students' learning of how to apply mathematics in modelling activities of real-world situations, through the construction (design and programming) of videogames. We want also for students to relate their mathematical knowledge with other disciplines (e.g., physics, computer…

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

Discusses some mathematical games concerning the packing of squares. (HM)

There are many educational situations where the student learns by using a model and we are beginning to explore the benefits of using an interactive computer to give a greater understanding of the relationship between the model and the real situation, and also of the real situation. Article gives a broad introduction to applications in the field…

Mathematical modelling activities related to everyday situations (e.g., traffic lights) can be used to develop probability concepts. (SD)

Outlines two traditions in the field of computer simulation, one focusing upon the character of the software within the computer, the other focusing upon the exercise outside the computer which the software is supporting. Topics discussed include mathematical modeling, gaming, information retrieval, decision monitoring, and applications in…

Describes a simulation using dice-tossing students in a population cluster to model the growth of cancer cells. This growth is recorded in a scatterplot and compared to an exponential function graph. (KHR)

Based on the game "Prisoners' Dilemma," a game-theoretical model of the arms race suitable for postsecondary level mathematics and/or political science students is developed in which two players can initially choose any level of arms development. The purpose of the game is to show under what conditions deescalation rather than escalation…

This paper introduces a note of caution about oversubscribing to rational game theory models of analysis at the expense of humanistic inquiry. Although game theory provides a useful tool for the explanation of rational alternatives in given social situations, it should not replace humanistic inquiry. "Good" decision-making in game theory usually…

Two educational computer simulations are described in this paper. One of the simulations is STATSIM, a series of exercises applicable to statistical instruction. The content of the other simulation is comprised of mathematical learning models. Student involvement, the interactive nature of the simulations, and terminal display of materials are…

Eleven lectures on simulation and gaming delivered at a symposium in Western Canada are presented. Three articles concern ways of gaining knowledge about the effectiveness of the simulation method in teaching. Several articles describe the use of simulation in teaching specific areas: home economics education, agricultural engineering, and…