What are proofs without words? They are not really proofs – they are diagrams that give you the main ideas of a proof.  In many cases, they are the final diagram that you are left with after you have proved something, but the steps and the words are left out. You need to figure out the steps and supply the words (the reasoning) to make a complete proof.

Many students feel lost or intimidated when they are expected to prove things themselves. Proofs without words are a good way to start doing proofs, since the diagram provides you with a framework that can get you started.

•    Work hard and actively to deepen your understanding of the mathematics topics we study in this class.
•    When it is your turn to guide the class, prepare carefully to do so in a way that fosters learning.
•    Participate actively (minds-on) when others are guiding the class.