We automate and randomize the building of linear systems with a parameter, appropriate for assigning to students. When the parameter takes on a specific value, the system has no solutions. When the parameter takes on a different value, the system has an infinite number of solutions.

Background: Ungrading is an innovative approach to assessment that relies on feedback rather than numerical grades to deprioritize (or remove) grades, but that has gone relatively unexplored in the psychology classroom. Objective: The current study examined student perceptions of ungrading in three psychology courses. Method: Using an inductive…

Beginning in the first semester, it is important to affirm students' gender identities and also provide level-appropriate information about pronouns and gender-inclusive language, including the current cultural contexts. As students take advanced courses, incorporating topics that address gender diversity provides opportunities for them to develop…

This article's author describes an upper-level economics course that introduces students to experimental economics. The course, built around a term-long project requiring students to develop experiments in small groups, has two main objectives: (1) solidify students' learning of key economic concepts, and (2) introduce students to experimental…

Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…

Combinatorial proofs of binomial identities involve establishing an identity by arguing that each side enumerates a certain set of outcomes. In this paper, we share results from interviews with experienced provers (mathematicians and upper-division undergraduate mathematics students) and examine one particular aspect of combinatorial proof, namely…

While many aspects of the teaching and learning of specific advanced mathematics courses have been studied, limited work has examined mathematical themes like sameness or its instantiations across disciplines. In this paper, we explore algebraists' collective example space for mathematical sameness. We used qualitative methods to analyze survey…

In Spring of 2023, I developed a special topics course titled "Collection Material Handling" to introduce students to museum management using Utah State University collections on the Logan, UT campus. The cross-listed upper-level course brought 16 USU students together from two disciplines: anthropology and natural sciences. The…

There are substantial and ongoing concerns in the international secondary and tertiary education sectors about the number of students choosing advanced or higher-level mathematics at upper secondary level. Declining enrolments in the last two years of secondary school in higher-level mathematics is seen as a major concern for the future of STEM…

The most common challenges students face in solving first-order ordinary differential equations (ODEs) can be overcome by identifying the types of errors, understanding the factors that cause difficulties, and finding appropriate solutions. Therefore, this research aimed to adopt a descriptive qualitative approach, including nine sixth-semester…

Objectives: The traditional, instructor-led form of live coding has been extensively studied, with findings showing that this form of live coding imparts similar learning to static-code examples. However, a concern with Traditional Live Coding is that it can turn into a passive learning activity for students as they simply observe the instructor…

In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…

After the COVID-19 pandemic was over, the teaching and learning process in the world of education underwent several changes. The COVID-19 pandemic forced the global learning community to transition within a very short period of time from the traditional in-class method of learning to a mode of online learning. After the pandemic started to…

A literature review is an important part of conducting academic research. Knowing how to conduct a literature search and write a high-quality literature review is a valuable skill. Herein, the authors describe the method of introducing a literature review writing exercise in an upper-level biochemistry course. Since 2020, authors have collaborated…

The gap between theory and practice in mathematics education, particularly in primary-teacher education, necessitates innovative teaching methodologies. This paper explores the implementation of academic portfolios as a teaching innovation in algebra and number systems I and algebra and number systems II courses within the primary teacher…