This is a one-semester course that will provide students with an opportunity to study math from a historical perspective. This course will explore various topics from mathematical history by introducing them to the work of legendary mathematicians and their famous historical problems and puzzles. This is a one-semester class that will earn students ½ credit towards their math requirements. Prerequisite: Successful completion of Math A1, Math A2, Math A3 and the NYS Mathematics A Regents Examination or the NYS Integrated Algebra curriculum and Regents Examination.
Note: Some exceptions may be made with both teacher and guidance approval.
This course will explore various topics from mathematical history including both mathematicians and famous historical problems and puzzles. The topics included, but are not limited to:
· Number systems including Mesopotamian cuneiform, Egyptian hieroglyphics,
and Babylonian number systems
· The Rhind Papyrus and the St. Ives Puzzle
· Archimedes and his inventions
· Zeno’s Paradoxes, including the Dichotomy and the Achilles
· Cantor’s theory of the infinite
· Luo Shu (magic squares)
· Pascal, Pascal’s triangle, and the Chinese equivalent
· Euclid’s Elements and the three Ancient Unsolvable Problems
· The seven Bridges of Konigsberg and Euler’s work with graph theory
· The Four-Color Map Problem
· Development of counting and computing devices and the evolution of computers
Textbook: Agnesi to Zeno – Over 100 Vignettes from the History of Math by Sanderson and Smith