Month: October 2010

Introduction to the WordPress Blogging Tutorial Series

Teaching Tools, Web 2.0 Technology, Wordpress

You are a student and you your teacher encourages you to blog and share to the world what you have learned from him. The problem is you do not know how to blog.

You are a teacher and you want to encourage your students to blog and share to the world what you have taught them. The problem is you do not have time to teach them how to blog.

You are an educator, you want to share your thoughts, but you have no time to explore a blogging website.

You searched for a blogging tutorial on the net and what you got are hundreds of 2-page (or more) independent documents which has no apparent beginning, no clear end, and no continuity at all.

The Math and Multimedia tutorial is probably the answer that you are looking for.   Starting next week,we will be learning WordPress blogging, step-by-step, just like how I taught GeoGebra, so I suggest that you start informing people who you think might be interested about this tutorial. » Read more

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Using Google Reader to Subscribe to a Blog

Web 2.0 Technology

In this tutorial, we are going to learn how to  use Google Reader to subscribe to a blog or website. Before you can do this, first you must have a Google account and second, the website that you are subscribing to must have RSS feeds.  Blogs, pages, or websites with RSS feeds usually have RSS icons (see number 2 below).

Suppose, you like the Mathematics and Multimedia blog and you want to subscribe to its RSS feeds. You should do the following steps:

1. Log-in to your Google Account and go to the Reader page.

Figure 1

2. Go to the blog that you want to subscribe to (you’re already here) look for the RSS Feed button and click it.

» Read more

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Constructing segments with irrational lengths

Calculus and Analysis, College Mathematics, High School Mathematics

Since rational numbers can be expressed as fractions (or ratio of two integers), rational numbers can be easily located on the number line using compass and straightedge construction. In principle, a segment of any length can be divided into any number of parts; hence, it is possible to locate any rational number on the number line. Irrational numbers, on the other hand, cannot be expressed as ratio of two integers, so the big question is:

How do we locate irrational numbers on the number line?

The question above is equivalent to: “How do we construct a segment with irrational lengths?”

It is easy to locate some irrational numbers on the number line even with compass and straightedge construction. The irrational \sqrt{2} can be located by constructing square ABCD (Figure 1), getting the diagonal AC, and constructing a circle with radius AC. It follows that the length of AE is \sqrt{2}, and the coordinates point E are (\sqrt{2},0).

Figure 1

It is also apparent that the easiest way to construct segments with irrational lengths is by  constructing diagonals of rectangles.  In Figure 2, OB, OC and OD have lengths \sqrt{2}, \sqrt{5}, and \sqrt{10} respectively. More complicated construction is required to construct other irrational lengths, \sqrt{3} for instance, which is the length of EH. » Read more

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