This premise is based on the belief that a student constructs his or her own knowledge, rather than that knowledge is transmitted from the teacher to the student. This course will present a variety of topics addressing the above goals in the geometry classroom. We will focus on the use of the Geometer's Sketchpad software as our technological tool for exploring geometry. We will form groups of two to four to work on explorations. While the above sources call for a reduction in the focus on proof, proof is still the corner stone of mathematics.
Proof is how mathematical truths are established.
An objective of this course is to explore methods for teaching how to read and do a proof. To meet this objective teams of two will be formed to work on a proof notebook. The notebook will be periodically submitted for grading, with a group score given for selected problems. The attached syllabus provides an outline of due dates for textbook reading assignments, interactive explorations, and exams. In general, explorations will be written-up and turned in one week from the day they are assigned.