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.

The emergence of artificial intelligence (AI) in academia has prompted various debates on the uses, threats, and limitations of tools that can create text for numerous academic purposes. Critics argue that these advancements may provide opportunities for cheating and plagiarism and even replace the art of writing entirely. To reclaim the…

Personalized educational interventions have been shown to facilitate successful and inclusive statistics, mathematics, and data science (SMDS) in higher education through timely and targeted reduction of heterogeneous training disparities caused by years of cumulative, structural challenges in contemporary educational systems. However, the burden…

The American College Personnel Association recognized the increased prominence of digital technologies in student affairs work, developing a technology competency area that includes foundational, intermediate, and advanced objectives for data use. However, as the role of technology use in student affairs practice rapidly changes, it is…

In response to the significant disruption posed by emergent AI technology, we propose a four part framework for teaching and learning practice and development. Rather than focus on the specific technologies of the moment, this framework provides actionable suggestions for individuals with varying views of AI and its positive and negative…

Presents a technique for the numerical inversion of Laplace Transforms and several examples employing this technique. Limitations of the method in terms of available computer word length and the effects of these limitations on approximate inverse functions are also discussed. (JN)

A previously developed program for the HP-41C programmable calculator is extended to handle models of differential and difference equations with multiple eigenvalues. How to obtain difference equation solutions via the Z transform is described. (MNS)

Discussion of student modeling and intelligent tutoring systems focuses on the development of the ASSERT algorithm (Acquiring Stereotypical Student Errors by Refining Theories). Topics include overlay modeling; bug libraries (databases of student misconceptions); dynamic modeling; refinement-based modeling; and experimental results from tests at…

Describes an algorithm used at the University of Ottawa to create examination schedules that are not only conflict free and minimize number of consecutive examinations for individual students, but provide for the scheduling of certain proper subsets of examinations into proper time slots and minimal overall number of consecutive examinations. (MBR)

Unlike most program assessment systems, Program Assessment using Specified Solutions (PASS), evaluates student C programs by assessing the way a problem was solved by performing a comparison of the submitted program with a solution plan. This article describes PASS, its use of instructor specified solution plans, assessment and feedback systems,…

Provides several algorithms that use extended precision methods to compute large factorials exactly. The programs are written in BASIC and PASCAL. The approach used for computing N considers how large N is, how the built-in limitation on exact integer representation can be bypassed, and how long it takes to compute N. (JN)

Presents a theorem and its converse to generate all of the primitive Pythagorean quadruples. Provides a BASIC program generating them. (YP)

Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)

Describes structured care approaches, such as protocols, clinical pathways, and algorithms, which are being used increasingly to organize clinical knowledge and guide patient care. Reviews the types of structured care approaches available to the clinician and explores the value of structured care approaches in practice and education. (Contains 32…

Suggests a moving pictorial tool to help teach principles in the bubble sort algorithm. Develops such a tool applied to an unsorted list of numbers and describes a method to derive the run time of the algorithm. The method can be modified to run the times of various other algorithms. (JN)