Filtered Posts (5)
ClearReflecting on What Our Community Has Accomplished
This new edition of GeT: The News! arrives on the brink of the second anniversary of the COVID 19 pandemic–not that anybody wants to celebrate that birthday. However, I do celebrate that, in the midst of this enduring disruption, our community has continued to be involved in several joint projects. As we took stock of […]
Reflections on Teaching about Symmetry and Mutuality
I remember well the day I first met Ms. Trump. I had been hired to teach mathematics at Pulaski County High School in Southwestern Virginia. My arrival in August 2003 coincided with the retirement of the mathematics department chair, and Diana Trump was his replacement. She explained that with their seniority system, I was assigned […]
GeT Course Student Learning Outcome #7
Demonstrate knowledge of the history and basics of Euclid’s Elements and its influence on math as a discipline. Euclidean geometry is named after Euclid, the Greek mathematician who lived in Alexandria around 300 BCE. Euclid put together what was known at the time about Euclidean geometry into the thirteen books of The Elements. In The Elements, Euclid sets out […]
What can we learn from an assessment item about constructing perpendicular bisectors? Part 1: Problematizing the premise of the item
Introduction Among the assessment items the GRIP team designed to probe students’ knowledge of the student learning objectives (SLOs), item 15301 was intended to target SLO 3, Secondary Geometry Understanding: Understand the ideas underlying the typical secondary geometry curriculum well enough to explain them to their own students and use them to inform their own teaching. Assessment […]
What can we learn from an assessment item about constructing perpendicular bisectors? Part 2: Anticipating responses to the item
Introduction Recall that GeT assessment item 15301 asks: Mr. Gómez taught students the usual procedure for constructing a perpendicular bisector for a segment. Veronica asked Mr. Gómez to explain why the construction works, meaning how they can be sure that the line that is constructed is indeed perpendicular to the segment and passes through the midpoint. […]
