the real mathematics

THE REAL MATHEMATICS.

“Cogito ergo sum.”-- Rene Descartes, Discourse on the

Method

REAL MATHEMATICS“Mathematics, rightly viewed, possesses not only

truth, but supreme beauty—a beauty cold and austere, like that of sculpture, without appeal to any part of our

weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a

stern perfection such as only the greatest art can show.”

-- Bertrand Russell, The Study of Mathematics

CULTURE AND MATH

HIGH SCHOOL MATH

STANDARD SEQUENCE

Algebra I Geometry Algebra II

Trigonometry

Pre-CalculusCalculus

A SOLUTION

“Mathematics is not a careful march down a well-cleared highway, but a journey into a strange

wilderness, where the explorers often get lost. Rigor should be a signal to the historian that the

maps have been made, and the real explorers have gone elsewhere.”

-- W.S. Anglin, Mathematics and History

THE FUTURE

Discussion:

Is it possible to obtain an equilateral triangle given one that is not necessarily equilateral itself?

Context:

The Morley Trisector Theorem