Lecture Description
Continuing with our introduction to elementary projective geometry, meant for primary school students, we discuss two of the most famous theorems in mathematics: one due to Pappus of Alexandria around 300 A D and one due to Blaise Pascal in the 1600's. The first result only requires a piece of paper, a pen and a straightedge, or ruler, to appreciate. Pascal's theorem requires also a circle. Both theorems really ought to be more widely known in primary school mathematics education.
Course Index
- Counting using the grid plane
- Arithmetic with rectangles
- Number systems throughout history
- The Hindu-Arabic number system
- Laws of arithmetic using geometry
- Fun with polyominoes
- Addition and the names of numbers
- Addition in practice
- Multiples, and more names of numbers
- Word problems using addition
- Elementary projective (line) geometry
- Pappus and Pascal
- Logical reasoning with tic-tac-toe
- The multiplication table
- More multiplication: The 10x10 table
- Some tricks to help with multiplication
- Area problems using multiplication
- The time scale of a human life
- An introduction to measuring
Course Description
Feel like learning mathematics from the ground up? Here is your chance: K-6 mathematics explained intuitively but accurately in a novel way by a professional pure mathematician.
The series is meant for those who are teaching public or high school, parents who have children in those years, and anyone who would like to strengthen their understanding of the subject.