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Spice Up Math Class with Logic Puzzles

High school math class doesn't have to be a dry slog of equations and formulas. In fact, it can be a thrilling adventure in...

What makes a good axiom? – Intellectual Mathematics

Podcast: DownloadHow should axioms be justified? By appeal to intuition, or sensory perception? Or are axioms legitimated merely indirectly, by their logical consequences? Plato...

Advice for teaching a huge online class. – Math with Bad Drawings

A few years back, to make myself eligible for teaching community college and live out my dream of being a side character in Community,...

The covering reflection theorem, Madison Logic Seminar, October 2024

This will be a talk at the UW Madison Logic Seminar on 22 October 2024. Abstract. The principle of covering reflection holds of a...

Digital SAT Math Problems and Solutions (Part

Problem 1 : In the given figure, AC = CD. The measure of angle EBC is 45° and the measure of angle ACD is 104°....

Pre Calculus Problems and Solutions (Part

Problem 1 :Find the limit, if it existis. Solution : https://www.youtube.com/watch?v=34w4f5gPpls Problem 2 :What is the average rate of change of the function f(x) = x2 -...

Finding pi in the alphabet

Write the letters of the alphabet around a circle, then strike out the letters that are symmetrical about a vertical line. The remaining letters...

Digital SAT Math Problems and Solutions (Part 44)

Problem 1 :A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages,...

A couple more variations on an ancient theme

I’ve written a couple posts on the approximation by the Indian astronomer Aryabhata (476–550). The approximation is accurate for x in . The first post collected...

Pre Calculus Problems and Solutions (Part

Problem 1 :What does the Intermediate Value Theorem say about the function f(x) = x2 + x + 4 on the interval?A)  f(x) must...

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