In this paper, we explore how the typical second year undergraduate topic of matrix diagonalisation can be applied to solve a geometric problem which arises frequently in Vector Calculus: to find the curve of intersection of a plane and a surface. We use GeoGebra, which offers a cost-free and dynamic interface, to explore a specific variant of…

The options for Artificial intelligence (AI) tools used in teacher education are increasing daily, but more is only sometimes better for teachers working in already complex classroom settings. This team discusses the increase of AI in schools and provides an example from administrators, teacher educators, and computer scientists of an AI virtual…

Research has demonstrated the need to prepare higher education faculty for transitioning from in-person to online modality. Researchers note the need to train faculty in course design, building classroom community, and establishing a teaching presence, among other things. This paper describes a professor's participation in a university-funded…

I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.

We present an investigation of the infinite sequences of numbers formed by calculating the pairwise averages of three given numbers. The problem has an interesting geometric interpretation related to the sequence of triangles with equal perimeters which tend to an equilateral triangle. Investigative activities of the problem are carried out in…

A cornerstone activity in undergraduate organic laboratories revolves around students running instrumental analysis on their products and interpreting their spectra. They are left to link the theory they have learned in lecture to practical spectral interpretation. Students often memorize benchmark interpretations of peaks, such as the broad…

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…

Along with the increased interest in self-regulated learning research, there has been a high engrossment in computer-based learning environments that facilitate instruction and promote learning. These two crucial pedagogical approaches have been identified as being valuable to educators and learners. They merit refreshed considerations in light of…

This article discusses the importance of developing a system of communication with a large adjunct faculty population. An active faculty roster was developed in order to maintain an accurate and convenient process to remain in constant communication with the adjunct faculty population. By developing a consistent and adaptive process, communicating…

Writing is an essential component of scientific activity. As such, it is necessary to develop strategies to provide equitable training opportunities for science writing. In order to provide learners with ways to improve their writing regardless of their language background and/or institutional and departmental environments, this article describes…

As an alternative to the traditional metallocene laboratory targets, students synthesize Cp[subscript 2]TiCl[subscript 2], bis([eta][superscript 5]-cyclopentadienyl)dichloridotitanium(IV), from the mildly moisture-sensitive cis-TiCl[subscript 4](thf)[subscript 2]. Air-free handling techniques are emphasized, but the (mostly) air-stable,…

The understanding of the basic principles of chromatography is of high importance for chemistry, pharmacy, and biology students. In this paper, we present a free web application which can be used as a teaching tool to introduce chromatography to undergraduate students, using one of the simplest chromatography models: the plate theory.

Nuclear magnetic resonance (NMR) spectroscopy is a very powerful analytical method that has found many applications in physics, chemistry, biology, and medicine. It is an indispensable tool particularly for synthetic chemists because it can be used for a rapid elucidation of the structures of organic compounds. For this reason, NMR spectral…

"Ghosts of the Argonne" is an interactive virtual reality (VR) recreation of the World War 1 (WW1) M1897 "French 75" field artillery gun, intended to teach learners about WW1 and its impact on the world, the role of artillery and artillerymen in this war, and the stories of real soldiers who served. The "Ghosts of the…

CRISPR-Cas9 is revolutionizing how we conduct scientific research, treat disease, and develop new crops. The widespread impact of this genome-editing technology makes it critical for undergraduate students to understand and engage with this new tool. In this article, we describe a multi-week lab module that teaches undergraduates how to design…