Geometry
Subtitle: an interactive journey to mastery
By: James S. Tanton
Contributors: Teaching Company
Series: The great courses. Topic: high school. Subtopic: mathematics; Great courses (DVD)
Publisher: Teaching Co.
Published: 2014
Place of publication: Chantilly, VA
Language: eng
Format: [videorecording] :
Number of pages: 1080
ISBN-13: 9781629970707
Subjects: Geometry; Study and teaching (Secondary)
Description: In Geometry: An Interactive Journey to Mastery, Professor Tanton guides students as they build an understanding of geometry from the ground up. With this approach, the instruction focuses on the intellectual play of the subject and its beauty as much as its utility and function. Students begin with elementary building blocks like points, lines, and angles and observe how those basic units interact. From a clear understanding of the fundamental principles, students use logical reasoning to expand their understanding of geometry. Like building a house brick by brick, each new discovery stands upon the others--without any sudden or confusing jumps.
Notes: Title from container.

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 (p. 286-287).

Course No. 1033.

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

DVD, region 1.
Table of contents: title: Disc 1.; title: Ancient ropes and modern phones --; title: Beginnings: Jargon and undefined terms --; title: Angles and pencil-turning mysteries --; title: Understanding polygons --; title: The Pythagorean theorem --; title: Distance, midpoints, and folding ties -- -- Disc 2.; title: The nature of parallelism --; title: Proofs and proof writing --; title: Similarity and congruence --; title: Practical applications of similarity --; title: Making use of linear equations --; title: Equidistance: A focus on distance -- -- Disc 3.; title: A return to parallelism --; title: Exploring special quadrilaterals --; title: The classification of triangles --; title: "Circle-ometry": On circular motion --; title: Trigonometry through right triangles --; title: What is the sine of 1°? -- -- Disc 4.; title: The geometry of a circle --; title: The equation of a circle --; title: Understanding area --; title: Explorations with Pi --; title: Three-dimensional geometry: Solids --; title: Introduction to scale -- -- Disc 5.; title: Playing with geometric probability --; title: Exploring geometric constructions --; title: The reflection principle --; title: Tilings, platonic solids, and theorems --; title: Folding and conics --; title: The mathematics of symmetry -- -- Disc 6.; title: The mathematics of fractals --; title: Dido's problem --; title: The geometry of braids: Curious applications --; title: The geometry of figurate numbers --; title: Complex numbers in geometry --; title: Bending the axioms: New geometries.