There are fundamental principles that nearly everybody knows about. Define the principles of Golden Mean, Fibonacci Numbers, creativity, and matter in terms of their Greek origins. Presented here are brief histories, philosophies, and...

Students engage in a instructional activity that is concerned with the concept of infinity as defined in a series by geometry. The instructional activity integrates the use of philosophy to help them comprehend how infinity can possibly...

Research the interrelationship between math and science. Search the Internet to discover the history of several branches of mathematics and make text-to-world connections between the concepts covered in each branch with related...

Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.

A lengthy narrative about Pythagoras and his students precedes an activity in which your young mathematicians practice using the Pythagorean theorem to solve three problems about flight and distance. Answers are provided. 

Students explore Renaissance architecture. In this Renaissance instructional activity, students view a slideshow featuring architecture of the era and then discuss the math skills used to the build the structures. Student build their own...

Describes the little that is known of Zeno of Elea's life. Also discusses his denial of motion and plurality hypothesis. He explained his ideas using paradoxes that continue to challenge intellectual minds today, and that have had a big...

A discussion of the theories of Democritus (c. 460-370 BC). He is best known as an atomist, having developed an atomic theory. Also discusses the ideas of other philosophers who are believed to have influenced Democritus.

A look at the life of Democritus of Abdera. He helped to develop a theory of atomism, explained in detail here. Other significant ideas he had included his theory of perception, a theory of the soul and its relationship to living things,...

Looks at what is known about the life and work of Zeno of Elea, and explains several of his Paradoxes and how others, including Aristotle, viewed them.

Looks at the life of Zeno of Elea (c. 490 - 430 B.C.) and at his paradoxes, of which eight survived. His ideas were at odds with Aristotle, who disagreed with him. Many philosophers have grappled with his paradoxes, and even today, some...