The Miller-Rabin test is a useful probabilistic method for finding large primes. In this paper, we explain the method in detail and give three variations on this test. These variations were originally developed as student projects to supplement a course in error correcting codes and cryptography.

Using software to teach statistical inference in introductory courses opens the door for methods and practices that are more conceptually appealing to students. With an increasing number of fields requiring competency in statistics including data science, natural and social sciences, public health and more, it is crucial that we as instructors…

Western Governors University has the mission to improve quality and expand access to post-secondary educational opportunities by providing a means for individuals to learn independent of time and place thus the mobility of our coursework is essential. Technological advances facilitate this mission. While all degrees are based entirely on the…

Higher education faces a looming demographic storm. Decades-long patterns in fertility, migration, and immigration persistently nudge the country toward the Hispanic Southwest. As a result, the Northeast and Midwest--traditional higher education strongholds--expect to lose 5 percent of their college-aged populations between now and the mid-2020s.…

Financial analysts generally create static formulas for the computation of NPV. When they do so, however, it is not readily apparent how sensitive the value of NPV is to changes in multiple interdependent and interrelated variables. It is the aim of this paper to analyze this variability by employing a dynamic, visually graphic presentation using…

In this article, I introduce a novel applet ("module") for exploring probability distributions, their samples, and various related statistical concepts. The module is primarily designed to be used by the instructor in the introductory course, but it can be used far beyond it as well. It is a free, cross-platform, stand-alone interactive…

A common decision of journal editors when faced with promising papers is that the author revise-and-resubmit. Responding thoughtfully and strategically to this invitation improves the probability of eventual acceptance dramatically. However, in the rush-to-publish, early-career educational researchers may lack awareness and skill in managing the…

Demonstrating probabilistic outcomes using real-time data is especially well-suited to larger lecture classes where one can generate large data sets easily. The difficulty comes in quickly collecting, analyzing, and displaying the information. With the advent of wireless polling technology (clickers), this difficulty is removed. In this paper we…

This paper is an elementary introduction to particle diffusion in a medium where the coefficient of diffusion varies with position. The introduction is aimed at third-year university courses. We start from a simple model of particles hopping on a discrete lattice, in one or more dimensions, and then take the continuous-space limit so as to obtain…

"WeBWorK," an online homework system, can be be used to deliver daily reading questions to students. The author studied its use for this purpose with a lower division Introduction to Programming course and an upper division Probability and Statistics course. In the lower division course, "WeBWorK" significantly improved peer…

This article, written jointly by a mathematician and a barrister, looks at some of the statistical issues raised by court cases based on fraud involving chip and PIN cards. It provides examples and insights that statistics teachers should find helpful. (Contains 4 tables and 1 figure.)

This article describes two administrative data sources--UCAS applicant data and Higher Education Statistical Agency (HESA) data--and demonstrates how they can be utilised to monitor the progression of students from vocational and educational training (VET) programmes in to higher education (HE) in the UK. First the article provides a general…

In this article, the author talks about Portfolio Management, a concept used to make allocation decisions in the world of financial investments. While much has been written about Portfolio theory, and the term is widely used in the facilities management industry, little is really understood about the concept and its real-world application. The…

A procedure modelling ideal classical and quantum gases is discussed. The proposed approach is mainly based on the idea that modelling and algorithm analysis can provide a deeper understanding of particularly complex physical systems. Appropriate representations and physical models able to mimic possible pseudo-mechanisms of functioning and having…

This paper articulates the opportunity of using an experimental business laboratory approach as a means of accelerating the creation, incubation and testing of new venture ideas. Such a strategy leads to the establishment of a micro-ecosystem of aspiring entrepreneurs and others in a business laboratory environment. The goal is to create a mini…