Absolute Value Definitions
I teach three interchangeable definitions of the absolute value function, encouraging students to choose a favorite and be able to swap between them freely. In each »
What are independent probabilities?
The way they are discussed for SAT and GRE exams usually doesn't give students a good intuition. Examples Most probabilities are not independent, which means they »
Sums of Sequences on the SAT
Monday night, my friend Jesse mentioned an SAT question he felt was actually insightful. It led us to explore a property we did not expect to »
Math Process
A number of posts I make illustrate the process of mathematics rather than the results, while still trying to appeal to those primarily interested in the »
Implicit Differentiation
When introducing this concept, most courses overlook the best examples: the basic ones. Implicit differentiation is what allows you to find the derivatives for so many »