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NJ's Pizza Model for Organizing Geometry - Rational Geometry Math Foundations
Insights into Mathematics via YouTube
Overview
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This course teaches students how to organize metrical geometry using a pizza model analogy. The learning outcomes include understanding different kinds of geometries, basic orientations for describing geometries, a base number system, affine and projective geometry, a hierarchy of interconnected geometries, and specific geometries like the Euclidean plane, Lorentz (relativistic) plane, and elliptic geometry. The teaching method involves a video lecture format lasting 39 minutes. The intended audience for this course is individuals interested in foundational concepts of rational geometry and mathematics.
Syllabus
Intro to organizing geometry
Different kinds of geometries
Basic orientations for describing geometries
A base number system
Choose a type
Affine and projective geometry
A hierarchy of interconnected geometries
Euclidean plane
Lorentz relativistic plane
Elliptic geometry
Taught by
Insights into Mathematics