This interactive, cross-disciplinary research explores face-to-face and online strategies for faculty to deploy in the classroom that encourage connections beyond forced engagement methodologies commonly used. Concentration is on methods of connecting that are "out of the mainstream" and benefit both students and faculty. Findings…

This paper describes a case study of two pure mathematicians who flipped their lecture to teach matrix determinants in two large mathematics service courses (one at Stage I and the other at Stage II). The purpose of the study was to transform the passive lecture into an active learning opportunity and to introduce valuable mathematical skills,…

In this article we present an "instrumental approach" in mathematics education, which focuses on the interactions between students, teachers, and "artefacts." This approach analyses "mediations" attached to the use of a given artefact and "instruments" developed by the subjects from this artefact along…

Discovering the perceptions that non-professional adult musicians hold regarding their participation in community ensembles may help improve instruction as well as the ability to more fully understand the implications of lifelong music making. Andragogy, or the teaching and learning strategies associated with adult learning, provided the impetus…

This article describes a set of learning activities that use algebraic problems and written student work to help preservice and in-service teachers understand students' algebraic thinking. (Contains 4 figures.)