Lessons of calculus
Sam didn’t learn calculus in high school and has decided, now that he’s in his 30s, that this deficit in his education must be remedied – not just for him, but for me, too.
I was a bit of a math whiz in junior high and high school, and while I didn’t get much calculus instruction either, I was somehow destined to review algebra, geometry, and trig lessons at least once a decade as the kids grew up and as Sam struggled with advanced algebra classes in junior college. To share in Sam’s enthusiasm for this new endeavor, I picked up Steven Strogatz’s book, Infinite Powers. It’s a persuasive little tome about the secrets of the universe and the author has nearly convinced me that God speaks in calculus. (And, perhaps that is why we have a hard time understanding Him.)
Sam doesn’t need all that. He just wants to master the principles and formulas (Hello, Kahn Academy) to break free of the limits he feels in his amateur music and sound studio, acquiring the demigod ability to manipulate the sound waves his computer produces.
Sam and I have been chipping away at this calculus thing for several weeks, beginning with a thorough review of the fundamentals. We know you can’t do the fancy moves until you’ve got the basic blocking and tackling down cold.
Through this journey, I’ve watched Sam learn a lot when we make mistakes. Kahn Academy tutorials ring a little bell and throw confetti every time you get an answer right. We don’t stop and think about how we nailed it. However, get the answer wrong and we are motivated to go back to find the missteps. Somehow, examining that failure locks in the learning just a little deeper.
Some writers and thinkers dismiss the fandom that failure gets in the business community. (Failing Forward! How to Fail like a Boss!) They are right: platitudes can’t turn failing into big money and success. That whole ready-shoot-aim philosophy just gets you muscle memory for ready-shoot-aim, in my experience. Examining your choices and, importantly, your knowledge deficits before making changes is what gets you back on the path of progress.
When I was in graduate school at the Eastman School of Music, some of us sat for a short, informative lecture from brain researchers at the Strong Memorial Hospital (both the school and the hospital are part of the University of Rochester). They showed us how the brain looks for motor patterns in the things that we do (walking, for example) and then files those patterns with the brain stem once established. It makes our learning and doing more efficient. But, of course, for practicing musicians, that tendency is a terrifying prospect. Practice a music passage wrong often enough and your non-judgmental brain says, “Aha! Pattern!” and files it away for safekeeping. The last thing you want is for that incorrect pattern to trot itself out when you are stressing. That’s how mistakes happen in a big performance. And they do. All. The. Time.
Sam and I are doing our best to go slowly and learn how to work the principles and formulas right the first time, or at least going back to retrace our steps when we trip up so we walk it through correctly on the second pass.
We’re learning calculus, the secret of the universe.
Powerful thoughts, and we can all learn from this!