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.
Topics covered:
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
Onteora High School • 4166 State Route 28 • Boiceville, NY 12412 • P: (845) 657-2373 • F: (845) 657-8430
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