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36 lectures, 30 minutes per lesson

Accompanying course workbook includes lesson guides for each of the 36 30-minute lectures, along with solutions, formulas, and bibliographical references (pages 286-287)

Course Number 1033

Lecturer: Professor James S. Tanton, Mathematician in residence, The Mathematical Association of America

DVD, region 1

Disc 1.

Ancient ropes and modern phones -- Beginnings: Jargon and undefined terms -- Angles and pencil-turning mysteries -- Understanding polygons -- Pythagorean theorem -- Distance, midpoints, and folding ties --

Disc 2.

Nature of parallelism -- Proofs and proof writing -- Similarity and congruence -- Practical applications of similarity -- Making use of linear equations -- Equidistance: A focus on distance --

Disc 3.

A return to parallelism -- Exploring special quadrilaterals -- Classification of triangles -- "Circle-ometry": On circular motion -- Trigonometry through right triangles -- What is the sine of 1°? --

Disc 4.

Geometry of a circle -- Equation of a circle -- Understanding area -- Explorations with Pi -- Three-dimensional geometry: Solids -- Introduction to scale --

Disc 5.

Playing with geometric probability -- Exploring geometric constructions -- Reflection principle -- Tilings, platonic solids, and theorems -- Folding and conics -- Mathematics of symmetry --

Disc 6.

Mathematics of fractals -- Dido's problem -- Geometry of braids: Curious applications -- Geometry of figurate numbers -- Complex numbers in geometry -- Bending the axioms: New geometries