Because new learning technologies are enabling students to build and explore probability models, we believe that there is a need to determine the big enduring ideas that underpin probabilistic thinking and modeling. By uncovering the elements of the thinking modes of expert users of probability models we aim to provide a base for the setting of…

In late October 1967, the USS Scorpion was lost at sea, somewhere between the Azores and Norfolk Virginia. Dr. Craven of the U.S. Navy's Special Projects Division is credited with using Bayesian Search Theory to locate the submarine. Bayesian Search Theory is a straightforward and interesting application of Bayes' theorem which involves searching…

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.…

Explores the relevance of some of the methodologies of systems engineering to problems in the social sciences, especially the dynamics of domestic and international conflict. Describes an initial exercise in modeling domestic conflict in terms of State equations. Implications for education. (Author/WM)

The use of continuous simulation is promoted as a teaching tool in the undergraduate curriculum. Simulation, advances in continuous simulation, an approach to teaching system dynamics, computer languages deemed suitable for continuous simulation, and an outline of a prototypic first course in continuous simulation are presented. (MP)

A programing language called DYNAMO, developed especially for writing simulation models, is promoted. Details of six, self-teaching curriculum packages recently developed for simulation-oriented instruction are provided. (MP)

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

Achievements, limitations, and difficulties of social science simulation efforts are discussed with particular reference to three examples. The pedagogical use of complementary developmental, philosophical, mathematical, and scientific approaches is advocated to minimize potential abuses of social simulation research. (LS)

A course is described which gives students experience in creating practical mathematical models of "real" problems, relating the mathematical solutions of the model to the original problem, and recognizing non-mathematical constraints on possible solution approaches. The students assume the role of industrial mathematicians while their tutors play…

Discusses ways to simulate a probability problem of interest to middle school students in which students calculate the average number of packets of trading cards purchased to obtain a complete set of cards. Simulations utilize a spinner, a table of random numbers, and a computer. Includes the BASIC program utilized in the simulation. (MDH)

Described is the development of a simulation, or model of an existing congested pedestrian crossing situation by elementary school students in order to conduct trials of their solutions. (MN)

A simple teaching model, designed to show rapidly which are the principal factors in population growth and how they are related, is presented. The apparatus described allows students to play several different active roles. (MP)

Mathematical modeling problems encountered in many disciplines are discussed in terms of the modeling process and applications of models. The models are classified according to three types of abstraction: continuous-space-continuous-time, discrete-space-continuous-time, and discrete-space-discrete-time. Limitations in different kinds of modeling…

The development of a mathematics model to simulate small animal populations is described. Assumptions of the population model and options in the program are discussed. (MK)

Presents a program to introduce fifth graders to everyday economic life by constructing a true-to-life simulation of an economic community. Students apply mathematics skills to managing a checking account, calculating electric bills, and managing shops using computers. (MDH)