Tag: proof

Tips for Teaching Proofs and Proving

I propose here ideas teachers need to know and pay attention to when teaching mathematical proofs and how to prove. A. What is a (mathematical) proof? I define proof as a relational network of claims (propositions and conclusions), substantiation (established knowledge that makes the claim legitimate) and appropriate connectives so sequenced to justify why the conclusion is a…

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Definitions of Commonly Used Words in Math Lectures

It’s time to review some terms you hear in math lectures. If you are not doing well in math, it’s probably because of miscommunications and not for any other reason. BRIEFLY: I’m running out of time, so I’ll just write and talk faster. BRUTE FORCE: Four special cases, three counting arguments, two long inductions, and…

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