Tag Archives: proofs

Unpacking mathematics – a geometry example

Engineers, mathematicians, and mathematics teachers all deal with mathematics but it is only the math teacher who talks about math to non-mathspeakers and initiate them to ‘mathspeak’. To do this, the math teachers should be able to ‘unpack’ for the students the mathematics that mathematicians for years have been so busy ‘packing’ (generalising and abstracting)… Read More »

Problem on proving perpendicular segments

This problem is a model created to solve the problem posed in the lesson Collapsible. In the figure CF = FB = FE. If C is moved along CB, describe the paths of F and E. Explain or prove that they are so. This problem can be explored using GeoGebra applet.  Click this link to explore… Read More »

The heart of mathematics

Axioms, theorems, proofs, definitions, methods, are just some of the sacred words in mathematics. These words command respect and create awe  especially to mathematicians but deliver shock to many students. P.R. Halmos argued that not even one of these sacred words is the heart of mathematics. Then, what is? Problem solving. Solving problems is at… Read More »