July 13, 2009
Monday with Marley

 

Is it possible to FEEL the solution to a math problem? To HEAR the grinding of computation? To TASTE the "Ahh, I get it! To SEE or SMELL eureka?
 
You bet your sweet little integers, it is!
 
We often hear the clink of a correct answer as it falls into place, reciting out loud in our minds the old fashioned Times-Tables. This is The Law of Exercise as postulated by E.L. Thorndike in 1922. It is how we were taught mathematics back in the day, rote memorization. Drill practice.
 
Some of us see the interaction of numbers in our mind's eye when we look up, slightly to the left, black numerals and formulae, superimposed on the white background of visual memory. 
 
Many of us feel our way along the edges of the given problem. Even the newest methods of teaching super-speed addition, subtraction, multiplication and division, have the student touching fingers, grouping digits, clenching fists, feeling their way quickly to the solution. 
 
Cognitive scientists, began exploring Information Processing from the angle of Constructivism. (That's Problem Solving layered one cognitive understanding at a time). They called it The New Math and it was to be a total paradigm shift into Meaningful Learning. 
 
I have forgotten most of what I learned in high-school and early college but I have never forgotten my Times-Tables.
 
While one might see the logic associating one-plus-one with the taste-plus-smell of Cherry Kool-Aid, while it might ultimately impact, enliven or make more fun, the learning process, I personally believe that good, old fashioned Drill Practices, work just fine.
 
Drills are also the best way to learn to draw.
 
Some of us are old enough to remember learning to write nicely and legibly. We were given a stubby yellow, Number 2 pencil, the erasure usually chewed off and on our per-lined newspaper print writing tablets, we were told to write fifty times, each letter in the Alphabet, in Cursive: 
 
LLLLLLL ..., MMMMMMM, NNNNNNN, OOOOOOO, PPPPPPP, QQQQQQQ, in CAPS and then over and over again in lower case, every day for months. Tediously boring, unless the teacher was wise enough to award the truly brilliant Calligraphers a candy bar for every perfect tablet written. 
 
Eventually, most everybody learned to connect the curving, sensuous symbols, called letters, together. Words rolled out, then sentences, almost without lifting your pencil off the paper. This ancient Law of Exercise was called Penmanship. You could see and feel and almost hear and taste and smell the meaning, the meaningful intent of the words.
 
So it is with writing. Write it enough times, well, and you will write perfectly.
 
So it is with drawing. Draw it enough times, well, and you will draw it perfectly.
 
So it is with speaking. Say it enough times, well, and you will say it perfectly.
 
Excellence is achieved by doing excellent, over and over and over again.

 

   
 
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