Month: November 2010

GeoGebra Institute of Metro Manila established

GeoGebra

I am happy to announce that our application to establish the GeoGebra Institute of Metro Manila (GIMM), Philippines has been approved last September 27, 2010.  I, together with Erlina Ronda of Keeping Mathematics Simple, will lead the institute.

The aim of  GIMM is to provide training and workshops to Filipino mathematics teachers on how to use GeoGebra, develop curriculum materials that integrates GeoGebra in teaching school mathematics, collaborate with teachers in integrating GeoGebra in the classroom, and perform research on the effects of GeoGebra in the teaching and learning of school mathematics.

GIMM is the first GeoGebra Institute in the Philippines and the third in Southeast Asia.  All Filipino GeoGebra users are encouraged to join the institute. If you are interested to join, contact me at mathandmultimedia@gmail.com.

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WordPress Blogging Tutorial 1 – Registering a WordPress Blog

Software Tutorials, Teaching Tools, Web 2.0 Technology, Wordpress

1.) Go to http://wordpress.com, and then click the Sign up now button. This will display the Sign up window shown in Figure 2.

Figure 1

2.) Fill up the Username and Password, Confirm your password., and then fill up the email address, read the terms of service and check the checkbox to agree. Click the Next button to, then click the Next button to display the window shown in Figure 3. » Read more

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Vectors, Parallelograms, and Commutativity

College Algebra, College Mathematics, High School Algebra, High School Mathematics

Basics of Vectors

Scalar quantities are quantities specified by magnitude. Mass, area, density are examples of scalar quantities.  There are quantities that have both magnitude and direction.  For example, when we say 2 kilometers east, 2 kilometers is our magnitude and east is our direction. Quantities with both magnitude and direction are called vectors.

In mathematics, vectors are usually represented by a directed line segment. The arrow  of the directed segment is called its head, and the other end is called its foot.

Comparing Vectors

Two vectors are said to be equal if they have the same length and the same direction. Plainly speaking, if we look at the geometric representation of vectors,  equal vectors have  the “same slope and the same direction (of the arrow).” In Figure 1, it is clear that there only two equal vectors – vector u and vector v.

Figure 1

The negative of a vector is the vector  equal in length to a certain vector, but with opposite direction. For instance, in Figure 1, – u and u are negative of each other and vector u is also the negative of vector v. » Read more

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