This course examines the consequences of different versions of the parallel postulate. Hyperbolic and elliptic geometry are investigated. This seminar is based on selected readings that examine the history and philosophy of mathematics, along with the genesis of historical and current applications. An important goal of this course is to provide the participants with a perspective on the relationship between mathematics and culture as well as an insight into how and why mathematical ideas have evolved. This course deals with areas of geometry relevant to high school teachers.
Content varies according to the interests of the faculty and students.
May be repeated for credit. Content varies according to the interests of the faculty and students. May be repeated for credit. This course includes propositional and predicate logic, with the objective of increasing students' understanding of what constitutes valid reasoning, as well as increasing their ability to express formal arguments. Participants use attribute blocks as a concrete tool for studying propositional logic.