We present a detailed description of a Cryptography and Computer Security course that has been offered at Knox College for the last 15 years. While the course is roughly divided into two sections, Cryptology and Computer Security, our emphasis here is on the Cryptology section. The course puts the cryptologic material into its historical context…

Most mathematicians state mathematics is a field of beauty, creativity, and innovation, yet what is echoed by students is not how mathematics allows students to explore, but rather the ways in which it constrains and does not necessitate creativity. In comparison, many students associate coding with freedom, and the ability to create and express…

With the increasing advocacy for Computational Thinking (CT) integration in K-12 education, it is important to consider how teacher education programs could better prepare teacher candidates (TCs). At the Faculty of Education at Western University, CT has been included in the curriculum as part of the teacher education program through the course…

When the needs of present and future life are examined, 21st-century skills are gaining importance day by day. There are various teaching methods, techniques and aids that support the development of individual skills and characteristics. Coding has also taken its place among these methods and techniques and continues to gain popularity with…

As computational thinking (CT) is increasing in focus in K-12 education, it is important to consider how teacher education programs may better prepare teacher candidates (TCs). Previous studies have found that TCs do not always have a firm understanding of what CT involves, and they might not have clear ideas about how to develop CT in their…

As social-justice mathematics teacher educators, we have always engaged and supported the prospective and practicing teachers in our classes in critical reflection about mathematics and the teaching and learning of mathematics (Felton, 2010, 2012; Felton & Koestler, 2012; Koestler, 2012). Although there are different notions, purposes, and…

Functions provide powerful tools for describing change, but research has shown that students find difficulty in using functions to create and interpret models of changing phenomena. In this study, we drew on a models and modeling perspective to design an instructional approach to develop students' abilities to describe and interpret rates of…

This paper describes the use of transactional distance theory (TDT) as a conceptual framework to underpin the design and delivery of a fully online first-year mathematics education methods course to pre-service teachers. It identifies key issues evident in the mathematical literature concerning mathematics education in general and pre-service…

This paper reports on part of a wider study on the teaching and learning of the conventions of formal algebraic notation. Through the analysis of paper tasks given to teachers I argue that not only does the inherent mathematical structure have an effect on the way in which an equation is manipulated but also the visual impact of notation itself.…