Course Length: Full academic year (30 weeks)
This Year's Schedule: Click here to view
Aims of the Course
Circles and triangles are familiar objects in geometry and also a hidden treasure trove of surprising results that can deduced from a basic set of rules. In this course, we shall look at some of these results and how they can be proved through careful logical steps.
Constructing and understanding proofs is an important skill that is valuable in every branch of mathematics. Students should already have met angles, including the sum of angles in a triangle, along with the definitions of isosceles and equilateral triangles. They should be keen to understand why things are true, rather than simply accepting that they are.
One of the texts we'll be using is Acheson's The Wonder Book of Geometry and spending a lot of time learning and exploring the online software at GeoGebra.
Who Teaches Geometry?
Dr Robert Leese has taught mathematics at one of the most prestigious universities in the world for over 25 years, and is CTO in a systems engineering company. He sees a role for himself in conveying mathematics as a set of analytical skills instead of a collection of facts and formulae that few students know what to do with. He's the father of four children whom he has homeschooled for over a decade, and is an avid collector and repairer of antique fountain pens.See all courses taught by Robert