Our philosophy

Problem Of The “Every So Often”

An interesting problem came up in conversation with a College Preparatory School freshman the other day, so I thought I'd share it with you: 100! (pronounced "one hundred, factorial") is the result of taking "100 times 99 times 98 times..." and so on, all the way down...

Math Books I Recommend You Read

Hello from vacation! New York City, as it happens. I'm spending the summer emphatically not working, but that doesn't mean I can't enjoy a little math every now and again.Perhaps that's true for you, too. So, here are the titles of a few books I read last year, and...

Abstract vs. Concrete In Math Education

As I see it, the issue that's missing here is this: a good teacher will use examples to illustrate a point, whereas a great teacher will convey the underlying point in a way that will prompt the student to generate the examples him- or herself.

The Best Game Ever

I've thought for a long time that it would be great if math got the same treatment as sports. I've also thought that that is possible. (More on this thought in future posts, as I work towards making it happen!)But for now, a quick look at what happens when the little...

The Pros And Cons Of Discipline

Yes, one can always take anything too far. But if I had to guess, I'd say that the current average levels of discipline, structure, and expectation are below-optimal. (I base this on the relative maturity and accomplishment of those students of mine for whose...