‎Geometry: An Interactive Journey to Mastery - Apple TV

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Like other math fields, geometry teaches us how to think. It leads students to uncover new truths based on already established ideas and facts. In short, geometry is among the great intellectual feats of humankind. Build an understanding of geometry from the ground up.

Educativos · 2014 · 33 min

Reparto James S. Tanton

EPISODIO 1

Geometry—Ancient Ropes and Modern Phones

Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right - inviting big, deep questions.

33 min · 2 may 2014
EPISODIO 2

Beginnings—Jargon and Undefined Terms

Lay the basic building blocks of geometry by examining what we mean by the terms point, line, angle, plane, straight, and flat. Then learn the postulates or axioms for how those building blocks interact. Finally, work through your first proof - the vertical angle theorem.

28 min · 2 may 2014
EPISODIO 3

Angles and Pencil-Turning Mysteries

Using nothing more than an ordinary pencil, see how three angles in a triangle can add up to 180 degrees. Then compare how the experience of turning a pencil on a flat triangle differs from walking in a triangular shape on the surface of a sphere. With this exercise, Professor Tanton introduces you to the difference between flat and spherical geometry.

27 min · 2 may 2014
EPISODIO 4

Understanding Polygons

Shapes with straight lines (called polygons) are all around you, from the pattern on your bathroom floor to the structure of everyday objects. But although we may have an intuitive understanding of what these shapes are, how do we define them mathematically? What are their properties? Find out the answers to these questions and more.

31 min · 2 may 2014
EPISODIO 5

The Pythagorean Theorem

We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it's a critical foundation for the rest of geometry.

28 min · 2 may 2014
EPISODIO 6

Distance, Midpoints, and Folding Ties

Learn how watching a fly on his ceiling inspired the mathematician René Descartes to link geometry and algebra. Find out how this powerful connection allows us to use algebra to calculate distances, midpoints, and more.

28 min · 2 may 2014

James S. Tanton

Presentación