Computing a correct answer is sufficient for most grade school work, but proving that something must be true is one of the most important skills our students can learn. This ability has immediate benefits for such important tests as USAMTS or the USAMO as well as teaching the skills of reasoning and communication that can help in any profession.
We are very fortunate to once again have a lecture by Dr. Branislav Kisačanin. Here is his description of the upcoming session:
- As the first illustration of direct proofs we will show that angle bisectors of any triangle have a common intersection point
- As the first illustration of mathematical induction, we will prove Cassini’s identity for Fibonacci numbers
- Finally, as the first illustration of proofs by contradiction, we will look at Euclid’s proof of infinitude of primes