January 2011 - Page 3 of 6 - Math and Multimedia

Math Teachers at Play Blog Carnival Deadline

January 19, 2011 GB Blog Carnival

Mathematics and Multimedia will be hosting the Mathematics Teachers at Play Blog Carnival #34. If you have articles or blogs about anything mathematics, you can submit it here. The deadline of submission will be on January 19, 2011, and the post date will be on January 21, 2-11.

The Mathematics Teacher at Play was organized by Denise of Let’s Play Math.

You may also want to read the following posts:

Wanted: Carnival Hosts

If you are a blogger and you wanted to promote your blog, hosting a carnival is one of the most effective ways. If you are interested to host the Mathematics and Multimedia Carnival, contact me at mathandmultimedia@gmail.com.

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The Infinitude of Pythagorean Triples

January 19, 2011 GB College Mathematics, High School Geometry, High School Mathematics, Number Theory

In the Understanding the Fermat’s Last Theorem post, I have mentioned about Pythagorean Triples. In this post, we will show that there are infinitely many of them. We will use intuitive reasoning to prove the theorem.

For the 100th time (kidding), recall that the Pythagorean Theorem states that in a right triangle with side lengths $a, b$ and $c$ , where $c$ is the hypotenuse, the equation $c^2 = a^2 + b^2$ is satisfied. For example, if we have a triangle with side lengths $2$ and $3$ units, then the hypotenuse is $\sqrt{13}$ . The converse of the Pythagorean theorem is also true: If you have side lengths, $a, b$ and $c$ , which satisfies the equation above, we are sure that the angle opposite to the longest side is a right angle.

We are familiar with right triangles with integral sides. The triangle with sides $(3, 4, 5)$ units, for instance, is a right triangle. This is also the same with $(5, 12, 13)$ and $(8, 15, 17)$ . We will call this triples, the Pythagorean triples ,or geometrically, right triangles having integral side lengths. » Read more

9 comments congruent triangles, pythagorean theorem, pythagorean triples, triangle similarity

WordPress Tutorial 6 – Basic Blogging Tips 1

January 16, 2011 GB Teaching Tools, Web 2.0 Technology

As I have promised before, I will not only teach you how to blog using WordPress, but also help you how to “grow” it. After all, what’s the use of a blog when you are the only one, or only a handful of people are reading it.

We have learned the basics of WordPress blogging: We have learned how to register a WordPress blog, write a draft article and publish a post, how to link to other documents , and how to embed videos for Youtube.

Before continuing the series, let us learn some of the basic things that we should consider before starting to blog seriously. It is important that we know from the start what we want write than think about it later. Note, however, that I am no blogging expert. All the tips that I will discuss are from personal experiences in growing Mathematics and Multimedia. As you can see, Mathematics and Multimedia is only fifteen months old, but despite being a math blog (which supposedly has a handful of readers), it has reached about 200,000 hits as of this writing, so I suppose that I must be doing something right.

In the following discussion, I have used Mathematics and Multimedia as context. This will make it contextual and not too » Read more

One comment wordpress blogging tutorial, wordpress how embed videos, wordpress how to link to other documents, wordpress how to publish a post, wordpress how to register a blog

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