Lecture Description
The Hindu-Arabic number system is the most important single advance in the history of science and mathematics. In this video we start from a naive Kindergarten approach to numbers, and then move to a simplified Roman numeral system, as a stepping stone to the Hindu-Arabic system. Along the way we introduce the usual names and symbols for the numbers 1-9, mention the big role that the number zero (0) plays, and discuss the world's earliest and most popular calculator---the abacus.
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.