Counting the Real Numbers

If we are in a room full of ballroom dancers where each male dancer has a female dancer partner, and no one is left without a partner, we can say that there are as many male as female dancers in the room even without counting. In mathematics, we say that there is a one-to-one correspondence […]
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On the Manila Hostage Incident

I would like to personally apologize to the family, kins and friends of the Hong Kong nationals in last Monday’s hostage incident in Manila.  It has really taken a lot out of me in the past week. We know our apologies would never be enough to alleviate or take away the pain that our countryman […]
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GeoGebra Tutorial 32 – Graphing Piecewise Functions

In this tutorial, we are going to learn how to graph piecewise functions. In our example, we will graph the piecewise function . The output of our tutorial is shown below.  GeoGebra has not yet developed a way to construct piecewise functions, however, its features is more than good enough for improvisation. In the construction […]
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