Why negative times a negative is positive

Among the ‘rules’ for working with negative numbers,  the most counter intuitive is “negative times a negative is a positive”. It is easily forgotten especially if it was learned by rote.

How to grow algebra eyes and ears

Math teachers should grow algebra eyes and ears.  To have algebra eyes and ears means to be always on the lookout for opportunities for students to engage in  algebraic thinking which involves thinking in

How to teach the inverse function

In What  is an inverse function? I proposed a way of teaching this concept starting with its graphical representations using GeoGebra applets. Al-Zboun Lilliana in our Linkedin group shares her idea

History of algebra as framework for teaching it?

In many history texts, algebra is considered to have three stages in its historical development: The rhetorical stage –  the stage where are all statements and arguments are made in words and sentences