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Teaching Math

I recently bought myself a Math book that I'm delighted with (Mathematics 1001 by Elwes). I'm finally understanding many math concepts I had not understood in my education and I've reached an few interesting theories on how math should be taught. There should be three things that a math class should teach at the same time: 1. Memorization 2. Visual (Graph-Based) 3. Procedural (Equation-Based) 4. Historical All four are part of a whole and some students will respond better on one than the other. These are four avenues to teach the same thing by the way not three different things. Memorization should begin really early. There is no need to explain how multiplication works to have the kids start to memorize the multiplication table. The reason is not that you * need * to memorize it but  that by doing so or encouraging kids to do so, they'll be faster at doing calculations. Here are the things I think should be memorized in math: a. all the pairs of numbers that...

A Clockwork Orange

A milk bar. It left me confused. I imaged a bar, like as a night club, where under-aged kids would do drugs and drink milk. I remember hollering with glee when I saw a milk bar in Australia and suddenly got the book A Clockwork Orange in it's entirety, years after I'd read it, a bored week I spent in Princeton before shipping out to Japan. [A milk bar is what in America is called a convenience store! A place to buy milk, not a crazy night club.] The whole confusion on the book arose from having watched or partially watched the film of the same name. In the film it's all about the 'horror-show' which is literally a visual tour of violence. Where a pack of young men meet out ultra-violence made cool, made strangely attractive, glorified not for it's meaning like wars, but for it's act, like art. The book is different, thought. Upon realizing what a milk bar was, I got what the story is about. It's not about violence but about boredom. The kids ...

The Sad Ecstasy of Being Right

The bitter sweet sensation, is like a drug for those that've felt the scorn of being condemned for daring to speak what others don't want to see. To cover ourselves with the knowledge of being right and comfort ourselves from that scorn is but a poor substitute. It's easy to be right. If you've ever felt the scorn of being rejected for seeing the truth you know the seductive ecstasy of hiding behind the "I told you so." It's easy to be right. The drug-like effects comfort you in the cold loneliness. You feel vindicated, the lone-hero, the one who saw where other failed to see. Yet it's a sad song to hear, a bitter comfort, for the real power lies in being convincing. Lately I've heard interviews with Paul Krugman, nobel prize winning economists, about how he is mostly right about his economic predictions. I thought to myself, what a way to go for the low hanging fruit. The dare, the challenge, is to be convincing. To not just say what's ...