Mathematics and Multimedia

Proof of the Sum of Square Numbers

Guillermo Bautista — Sun, 27 May 2012 02:35:00 +0000

Yesterday, we have counted the number of squares on a chessboard, and we have discovered that it is equal to the sum of the squares of the first 8 positive integers. We call these numbers square numbers. So, the first 4 … Continue reading →

Counting the Number of Squares on a Chess Board

Guillermo Bautista — Sat, 26 May 2012 07:12:33 +0000

Chess is one good source of puzzles and mathematical problems. In this post, we discuss one of the most basic problems in chess: Counting the number of squares on the chessboard. How many squares are there in a standard chessboard … Continue reading →

Happy Birthday, Markus Hohenwarter

Guillermo Bautista — Thu, 24 May 2012 14:00:01 +0000

Happy Birthday to Markus Hohenwarter! THANK YOU for creating GeoGebra and for your works in mathematics education.

Microsoft Mathematics Tutorial 7 – The Ink Input

Guillermo Bautista — Tue, 22 May 2012 21:48:57 +0000

This is the seventh tutorial in the Microsoft Mathematics Tutorial Series. In this post, we learn how to use the Ink input of Microsoft Mathematics. Microsoft Mathematics has handwriting support that enables users to write problems and solve equations using … Continue reading →

Using Similarity to Prove the Pythagorean Theorem

Guillermo Bautista — Sun, 20 May 2012 21:01:22 +0000

The Pythagorean Theorem is one of the most interesting theorems for two reasons: First, it’s very elementary; even high school students know it by heart. Second, it has hundreds of proofs. The proof below uses triangle similarity. Pythagorean Theorem In a … Continue reading →

Are all infinities created equal?

Guillermo Bautista — Sat, 19 May 2012 22:23:05 +0000

A one-minute explanation that not all infinities are equal. The video shows that the number of real numbers from 0 to 1 is greater than the number of all natural numbers 1, 2, 3, 4, and so on. If the … Continue reading →

GeoGebra 4.0 Tutorials, MTAP 50, and more

Guillermo Bautista — Sat, 19 May 2012 07:05:56 +0000

The Math Teachers at Play Carnival 50 is now live at Mathematics for Teaching. Due to busyness, the Math and Multimedia Blog Carnival will have a break this month — unless someone volunteers to host it before the end of … Continue reading →

The 10 Misfortunes of Evariste Galois

Guillermo Bautista — Thu, 17 May 2012 14:41:12 +0000

If you think you’re unfortunate, you should read the biography of Evariste Galois, a mathematical genius who was one of the founders of group theory. He lived during a political turmoil in France, and his life was filled with bad … Continue reading →

A Simple Proof of the Arithmetic Mean Geometric Mean Inequality

Guillermo Bautista — Wed, 16 May 2012 04:52:31 +0000

Last February, we have used area to prove the Arithmetic Mean – Geometric Mean Inequality (AM-GM Inequality). In this post, we show a simpler proof. Recall that the AM-GM Inequality states that given two numbers, their geometric mean is always … Continue reading →

Microsoft Mathematics Tutorial 6 – The Unit Converter

Guillermo Bautista — Sat, 12 May 2012 23:51:42 +0000

This is the 6th tutorial in the Microsoft Mathematics Tutorial Series. In this post, we discuss how to use the Unit Converter of Microsoft Mathematics. Microsoft Mathematics has a built-in unit converter that allows conversion of different types of measurements. It … Continue reading →