In the study of geometry, distance frequently plays a central role in describing geometric relationships. Many definitions and properties of geometric objects are based on distance. Typically, geometry students work with distance from both a synthetic and analytic perspective. In this seminar, I will introduce a Student Learning Objective (SLO) focused on distance. I also […]

In this session, emerging research about how to effectively teach a college geometry course for prospective secondary mathematics teachers will be presented. The session presenter and researcher is a mathematics teacher educator and the instructor of her institution’s Geometry for Teachers (GeT) course, which primarily serves undergraduate secondary mathematics education students in their first semester […]

Definitions play a crucial role in reasoning and proving in geometry, and consequently in the Geometry for Teachers (GeT) course. However, the handling of definitions in the teaching of geometry has been criticized by mathematics education researchers and mathematicians alike. The College Geometry course can therefore be an especially productive site for a course-correction by […]

The philosophy of mathematics has long been focused primarily on topics such as the ontology of numbers and sets and the epistemology of results in the theory of numbers (arithmetic) and sets through issues of axioms and proofs for these theories. Though much of mathematics today seems to involve geometry in one form or another, […]

As its name implies, Euclidean geometry goes back to the works of Euclid, specifically to his Elements. The question, however, is how much Euclidean geometry actually already is in the Elements and how much we are likely to read into it. The fact is that we know very little about Euclid and the actual nature […]

One possible way to structure a GeT course around student learning outcomes is through a flipped, hybrid course where the mathematical topics, such as axiomatic systems and parallelism, are interwoven with learning goals and outcomes so that students engage with them explicitly. I’ll discuss benefits and challenges of this course structure as well as the […]

I will talk about my experience, as a professor in the Faculty of Mathematics and Informatics at the University of Sofia, teaching the course “School Geometry for Future Mathematics Teachers”. First, I will briefly describe the educational system and the state of geometry in Bulgarian schools. I will also explain the organization of the mathematics […]

Geometry has many applications in the visual arts; some are obvious and familiar while others are surprising and unexpected. Applications in art appeal to students who might otherwise be uninterested in geometry and they help students appreciate geometry in a different way. After seeing geometry in art, students start finding geometry all around them. In […]

The first edition of Experiencing Geometry was published in 1995. It was a result of Prof. Henderson’s 20-year experience of teaching geometry and honing his unique teaching style. While preparing 4th edition of this book in his memory, I went through his notes and journals from the 1970’s which gave me an insight into how deeply he was […]

In her session, titled “Adapting Tasks for Increased Interactivity” Claudine will be  sharing a digital task sequence developed in collaboration with Steve Boyce. Steve developed the initial set of tasks as a Word doc and then redeveloped it as a GeoGebra classroom activity. The latest version is built as a Desmos classroom activity and incorporates new […]