Dynamic Geometry has been used to support the teaching and learning of geometry for more than three decades. In this seminar, different types of tasks will be presented that highlight how this technology can be used to engage students in geometric reasoning.

This seminar will present an exploration on where, how, and to what degree the SLOs are incorporated in a course at North Carolina State University. In addition, a reflection will be provided about changes made to the course based on the shared work of the GeT community.

At South Dakota State University, I have the luxury of having only preservice teachers in the GeT course. As a result, I include pedagogy while exploring the geometry content. To make this more clear to my students, I frequently ask them to put on their “teacher hat” or “student hat.” This helps them better understand […]

Teaching and learning deductive geometry considered a serious challenge. FullProof system uses technology to enable significant scaffolding for both Instructors and students facing these challenges. The system digitizes questions from textbooks and provides an interactive diagram with friendly two columns user interface for writing deductive proofs. The algorithm at the hurt of the system maps […]

The Common Core State Standards describe an approach to geometry that is both new and old. It is new in the sense that it bases geometric reasoning on the fundamental concept of a transformation, rather than on some version of Euclid’s axioms. It is old in the sense that these transformations are essentially just the […]

Along with the classical connection between geometry and proving, geometry has long been understood as a context for learning logic. However, modern instruction in logic has moved primarily toward teaching logic apart from any particular mathematical context or content. In a series of experiments, I have been exploring how to help undergraduates reinvent basic logic […]

Sunlight provides a natural, renewable source of (effectively) parallel lines. In this talk, I discuss a collection of problems and a set of activities that use sunlight to engage students in geometry and trigonometry. The collection of problems was inspired by the history of nautical science and reclaims, for geometry, topics that are typically encountered […]

The traditional high school suffers from ineffective pedagogy, a problematic approach to proof, and a rigid separation from other parts of the secondary math curriculum. Transformational geometry can help address those limitations: it can be used to bring in new approaches to teaching, broaden, and deepen the understanding of proof, and make connections with several […]

The recently-published Secondary Mathematics for Mathematicians and Educators offers a high-level view of the secondary curriculum suitable not only for preservice teachers at the end of their undergraduate studies but also for Mathematics and Math Ed graduate students with an interest in the connections between topics in advanced-level mathematics and the content of the secondary curriculum.  Michael […]

This semester, Julia adapted her GeT course to accommodate in-person students, remote synchronous students, and remote asynchronous students. In this seminar, she will share some information about how her class was structured, how this class was different from other semesters, challenges she experienced, and tips and suggestions for those who will be teaching a GeT course next […]