Monday, September 23, 2013

Fractions should be scrapped?

I came across with this old article: Professor: Fractions should be scrapped. and I have to say I BEG TO DIFFER.

This professor's teaching position perhaps should be scrapped instead.

He says, "But it could be that the study of fractions should be delayed until it can be understood, perhaps after a student learns calculus, "

I am sorry, how the heck are you going to talk about the slope of the tangent line... the fundamental concept of calculus without fractions?

Think decimal can do everything? Take this: 1/3.

All the ink in the world cannot write this down completely as a decimal as the 3 repeats forever.

The number 10 is actually not so convenient as denominator... This is why ancient people pick 12 hours in AM and PM, as you can talk about 1/2, 1/3, 1/4, 1/6 of the morning or afternoon. However, decimal has the typographical convenience (unless you got MathML and all those plugins needed or know LaTex). Ok I praise Microsoft Word's equation editor too. It is A LOT easier to author equations and fractions now.

So afraid of long division? That actually is some ingenuous algorithm in action. I am saddened that this professor didn't have a good elementary school teacher. Praise Euclid for the Division Algorithm!. That unique part is the big deal here. Ok there is little merit to calculate square root by hand as you actually don't need to do such calculations often. But all kids must know how to do basic calculations without the calculator.

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