Steven Strogatz - Explaining the Magic of Math

I've always hated math. Since about the 6th grade, I've always felt behind and deemed myself "not a math person." As I get older, I'm realizing that part of my problem was how I was taught math. It always seemed like memorization and rules without context.  I never had teachers that helped me develop a passion for math or see the the magic in solving problems. I wrote about this experience here.

Recently I learned about a series of thirteen blog posts that are meant for people like me.  Steven Strogatz is an award winning mathematician from Cornell who has taken it upon himself to explain the magic of math on the New York Times Opinionator blog. Here's how it describes the genesis of the idea:

I have a friend who gets a tremendous kick out of science, even though he’s an artist. Whenever we get together all he wants to do is chat about the latest thing in evolution or quantum mechanics. But when it comes to math, he feels at sea, and it saddens him. The strange symbols keep him out. He says he doesn’t even know how to pronounce them.
In fact, his alienation runs a lot deeper. He’s not sure what mathematicians do all day, or what they mean when they say a proof is elegant. Sometimes we joke that I just should sit him down and teach him everything, starting with 1 + 1 = 2 and going as far as we can.
Crazy as it sounds, over the next several weeks I’m going to try to do something close to that. I’ll be writing about the elements of mathematics, from pre-school to grad school, for anyone out there who’d like to have a second chance at the subject — but this time from an adult perspective. It’s not intended to be remedial. The goal is to give you a better feeling for what math is all about and why it’s so enthralling to those who get it.

I've read the first few installations (he's posted 4 of 13 so far) and I'm impressed. It's not in plain English, per se, but he does a great job of using visuals and metaphor to explain math in a way that is new to me. Each post takes about ten minutes to read. All the current posts are here, and I encourage you to start at the beginning.

Thanks to Jay at Juxtaprose for letting me know about the series.

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A Better Way to Learn Chemistry

If I could have learned chemistry this way, I might have discovered a career in science.

Via Daily Dish

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Talkin' Bout My Education

Looking back at my education, I wasn't a great student.  I made decent grades and went to a good university and grad school, but school was never my thing.  Looking back, I can pin-point a couple of points at which I lost faith.

It was sixth grade and I was in a math class with Mrs. Paine (it's true - Paine).  The subject was least common denominators.  I didn't get it.  My worksheets came back with red marks, but I didn't really understand what I was supposed to be doing.  The class moved on while I was caught up in trying to memorize the details. Instead, what I needed was an understanding of the reasoning - not how, but why. It was at this point that I fell behind and began to dread math, as I do today.

Another example was college and grad school - I went to business school and took a few accounting classes.  Again, the light bulb just didn't go on. I passed, but not because I fully understood the reasoning of Accounting as I do now.  I remember the first day of my first accounting class.  The instructor went directly into T accounts, debits and credits, revenue and expenses.  I felt blind-sided.  My first reaction was to try to memorize all the debits vs. credits instead of looking at it from a broad perspective of how money flows. I had no context to build an understanding.

Looking back, context is what I have always missed in education.  If someone could put a new idea in the context of the real world or show me how it enables other things, I would get it.  It's just my learning style - I need the big picture before the details make any sense.  By diving directly into T accounts and least common denominators, I got caught up in trying to memorize instead of understand.  What I needed to know was why - why this works the way it does - and why it matters to me.

So, I think the connection to our style of videos is obvious.  They are based on all the things that don't work for me in education. When I see explanations on the Web, the remind me of school - they assume too much.  They sometimes dive directly into how something works and spend little time on context. 

For me, it's a big problem - a problem that I believe others feel too.  When it comes time for me to try to explain something,  it just feels right to look at the world from the perspective that would have made sense to me that first day of accounting class - build meaning with context first, then explore details.

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