In this article, the author analyzes the cricket series match between England and Australia by applying the concept of probability. The author presents solutions for obtaining results of either team winning or both ending up in a draw in the situation of a five-match series. The author also analyzes the probability wherein the series is still…

Game theory approaches to find optimal marketing decisions are considered. Antagonistic games with and without complete information, and non-antagonistic games techniques are applied to paired comparison, ranking, or rating data for a firm and its competitors in the market. Mix strategy, equilibrium in bi-matrix games, bargaining models with…

The paper's aim is to demonstrate the utility of the well-known Nim game when it is used as a tool in teaching the binary system. A way to increase student comprehension, it also forms a basis for student projects and extracurricular activities on the topic. The paper offers descriptions of two versions of the game and the underlying mathematical…

In this note, it is shown that in a symmetric topological space, the pairs of sets separated by the topology determine the topology itself. It is then shown that when the codomain is symmetric, functions which separate only those pairs of sets that are already separated are continuous, generalizing a result found by M. Lynch.

Identities for many and varied combinations of binomial coefficients abound. Indeed, because of the wide range of interrelationships it is possible that a great deal of mathematical effort has been wasted in proving essentially equivalent formulae. As well as proving identities these methods can be used to rule out closed form solutions (at least…

The research question addressed by this study is whether or not students made effective use of dynamic geometry software to explore the validity of a geometrical statement. Particular attention was paid to the use of definitions and the types of justifications students employed. Interviews conducted with six secondary mathematics preservice…

The purpose of this note is to outline further enrichment exercises with rhotrices and thus to stimulate ideas on mathematical arrays and structures. Rhotrices provide students with examples on how to imagine new forms of arrays and their classifications as abstract structures.

This study reports on basic, mostly pre-senior mathematical skills, as measured by a multiple choice questionnaire, of 566 students enrolled in a first year introductory data analysis subject within a science or broadly scientific degree programme. Most students had previously undertaken a senior high-school algebra and calculus based mathematics…

This paper presents findings from a qualitative study that compared the learning experiences of a group of students from a technology-based college-level introductory statistics course with the learning experiences of a group of students with non-technology-based instruction. Findings from the study indicate differences with regards to classroom…

Vieta's famous product using factors that are nested radicals is the oldest infinite product as well as the first non-iterative method for finding [pi]. In this paper a simple geometric construction intimately related to this product is described. The construction provides the same approximations to [pi] as are given by partial products from…

Heuristic literacy--an individual's capacity to use heuristic vocabulary in discourse and to apply the selected heuristics to solution of routine and non-routine mathematical tasks--was indirectly promoted in a controlled five-month classroom experiment with Israeli 8th grade students (N = 92). The experiment achieved a moderate mean effect size,…

In this paper methods and algorithms for identifying the main elements (edges and facets of any dimension) of a cone and a polytope, and calculating the corresponding hypervolumes are presented. The cones and polytopes are supposed to be given as the non-negative linear combination and the convex hull generated by a, not necessarily minimal, set…

The paper shows an alternative way of presenting differential calculus. It is shown that the Race Track Principles (RTP) (or any of the variants) is, in fact, equivalent to the Mean Value Theorem. Moreover, it is demonstrated how major theorems of differential calculus can be derived using RTP. The benefits of using RTP as a means to introduce…

In this note, we discuss a coin tossing experiment with a new stopping rule. The two random variables involved in the experiment have some interesting properties.

Offering mathematics majors the opportunity to engage in current, real-world applications can be an important enhancement to their undergraduate course curriculum. Instead of focusing on the traditional topic areas in pure and/or applied mathematics, one may structure a seminar course for senior mathematics majors by concentrating on a specific…