Math

=Math=

[Remember, you need to write at least 3 important take-aways under each of the topics below, in your own words.]

1. Math in the school context: mathematical claims, Buchberger's model for mathematical discovery

2. Conjecture and proof. Non-observational and deductive proofs.

3. Math: Discovered or invented? Math and reality. Math in nature and art. Multiple geometries; which is natural?

4. The nature of math: axioms, logic and theorems. Certainty vs. truth. Math as a creative art.

5. More about axioms; usefulness, beauty and incompleteness. Math as a human endeavor: erroneous proofs, fashions, and timeless standards of proof.