Teaching Connections Between Algebra and Geometry I - A MANSW Presentation
Insights into Mathematics via YouTube
Overview
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Explore the intricate connections between algebra and geometry in this MANSW presentation for mathematics teachers. Delve into topics such as basic arithmetic in geometry, the Euclidean algorithm, continued fractions, and projective geometry, including Pappus' theorem and Pascal's theorem. Gain insights that could spark renewed interest in geometry as a core subject for school students. Discover how these fundamental mathematical concepts intertwine, providing a deeper understanding of both algebraic and geometric principles.
Syllabus
Introduction
Topics
Philosophy
Overall message
Geometry links with Algebra
Geometry as a subject
The Commutative Law
Trinomial Theorem
Square
Gauss
Division
Continuing Fractions
What is Pi
Rational approximations
First approximation of pi
Second approximation of pi
Fractions
Taught by
Insights into Mathematics