Month: May 2012

GeoGebra 4.0 Tutorials, MTAP 50, and more

Miscellaneous

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 the month.

50

I have updated the following GeoGebra Tutorials to version 4.0: Spreadsheet, Slider, and Curves of Best Fit (Tutorial 20) ; and Spreadsheet and Similarity (Tutorial 21); Spreadsheet, Vectors and Matrices (Tutorial 22). » Read more

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The 10 Misfortunes of Evariste Galois

History of Math, Miscellaneous

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 luck and disappointments.

Evariste Galois

Below are the 10 most notable misfortunes of Galois’ life. » Read more

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A Simple Proof of the Arithmetic Mean Geometric Mean Inequality

High School Mathematics, High School Number Theory

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.

 

Click image view the GeoGebra applet demonstration

Recall that the AM-GM Inequality states that given two numbers, their geometric mean is always less than or equal to their arithmetic mean.  That is given two numbers a and b,

\displaystyle\sqrt{ab} \leq \frac{a+b}{2} . » Read more

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