Fabiana Cardetti

A note on local controllability on Lie groups

In this work we study linear control systems as addressed by Cardetti and Mittenhuber, 2005. In particular, in this note we present the explicit form of the subgroup where the system is locally controllable.

Improving Teaching Practice Through Interdisciplinary Dialog

This study presents the results of a self-study of interdisciplinary work that has generated profound changes in our teaching practices. The research grew out of an interest in exploring the nature of our work and the practices that contribute to its success. Our self-study revealed that our work process consists of five stages and is the product of careful weaving of our different disciplinary lenses. The five stages are creating a collaborative environment, initial inquiry, shared inquiry, scholarly connection, and in practice and beyond. We describe these stages in detail, illustrating our use of dialog, reflection, and scholarly inquiry across our disciplines to improve our teaching.

Argumentation: Building Students’ Capacity for Reasoning Essential to Learning Mathematics and Sciences

Abstract In this article we present the results of a study focused on engaging students in argumentation to support their growth as mathematical learners, which in turn strengthens their science learning experiences. We identify five argumentation categories that promote the learning of argumentation skills and enrich mathematical reasoning at the undergraduate level. Using these categories, we present and discuss rich learning tasks that meaningfully engage students in mathematical argumentation. In addition, these argumentation tasks support the development of students’ communication and critical thinking skills - all essential to learning in partner disciplines. Finally, recognizing that collaboration with colleagues from other disciplines is crucial to understand and address learning objectives beyond mathematics, we also present lessons learned from our successful interdisciplinary collaborations.