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…

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.

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…

In this article, I introduce a collaborative annotation activity that supports students in critically examining AI-generated writing in relation to criteria including specificity and complexity. I engage students in collaboratively annotating the AI-generated essays, guiding students to identify instances in which the essays could be more…

Vectors have important applications both within and outside mathematics, but the concept of vectors is often taught to students in a less-than-engaging way, leading to students feeling inadequate and frustrated. This article describes the use of a mathematical microworld, "Driving with Vectors," to explore vectors using equitable…

This paper proposes an updated framework for the evaluation of the computer-assisted language learning (CALL) framework, further developed from Chapelle (2001) and González-Lloret and Ortega (2014). Based on a review of prominent previous CALL evaluation frameworks, an exploration of relevant literature in formal evaluation and my own first-hand…