### Construction Continues (And In Other News, I Grade an Exam)

Decided to insulate. Need to finalize color choices ASAP. (Don't you love the exposed rafter tails?)

My gen-ed students struggle with the idea of a mathematical proof. We do six proofs over the course of the semester, and they are OK with any proof that lacks an equation. Different sizes of infinity? They can prove that. Pythagorean Theorem? They insist on giving examples. Even though the directions for the problem said to give a complete proof and not just an example. Even though we spent an entire day in class proving the Pythagorean Theorem. Even though the review sheet said that they needed to know how to do the proof. Guess I know what I'm teaching on Monday.

In other news relating to the Pythagorean Theorem, more than half of them are aware that it involves more than just the famous formula, that there are actual words (or a diagram) involved to let you know

My gen-ed students struggle with the idea of a mathematical proof. We do six proofs over the course of the semester, and they are OK with any proof that lacks an equation. Different sizes of infinity? They can prove that. Pythagorean Theorem? They insist on giving examples. Even though the directions for the problem said to give a complete proof and not just an example. Even though we spent an entire day in class proving the Pythagorean Theorem. Even though the review sheet said that they needed to know how to do the proof. Guess I know what I'm teaching on Monday.

In other news relating to the Pythagorean Theorem, more than half of them are aware that it involves more than just the famous formula, that there are actual words (or a diagram) involved to let you know

*when*the formula applies.