A Common Core Defense That Doesn’t Hold Up

Advocates jump to defend attacks on a subtraction technique with self-defeating arguments.

Tonight I hope to start The Dawn Patrol , a 303 page crime novel by Don Winslow. I’ll read to page 67 at the end of chapter 23, calculate how many pages I have left and call it a night. So, how many pages do I have left in the book?

I assume you got 236 for your answer. You might have used a calculator, scribbled it out on a piece of paper, or done it in your head. If you did it in your head, I bet you used some kind of counting up method, thinking, like I did, “It’s 3 pages to 70, 30 more to 100, 200 more to 300, and 3 more to 303, that’s 236.”

If you counted up, you’d be hailed by many Common Core advocates. They’d applaud you for not using an algorithm, especially not the old tired one where you line up the numbers by place value and do all that borrowing. They’d say that you understand the fabric of numbers as opposed to just using rote memorization to get the right answer. Some may add that you exemplify the needed new perspective on teaching math that seeks to align math teaching with our true nature as creative beings.

It’d be annoying and self-defeating for multiple reasons.

First of all, counting up is, in fact, an algorithm that also requires rote memorization and mechanical execution of the steps to get the right answer. Second, I’d bet that counting up is older than the written, number-borrowing method. Third, whereas counting up might be a more mindful method, it’s because you have to keep a bunch of numbers in your head, not because of your number sense. Fourth, I’d speculate that the number-borrowing method was invented precisely because of the errors made by carrying running totals in your head. And fifth, who can defend the notion that it takes less number sense to understand why you can borrow from the place value to the left than to understand that you can count by numbers other than one?

Understanding how each method works helps you self-correct. It certainly makes math more interesting. But sooner or later you still have to mechanically do the subtraction or the counting.

So, on the one hand, I completely agree with Common Core Advocates who say  we should teach lots of methods to solve problems in math and that we should include the underlying logic behind the methods in our instruction. And I completely get why advocates jump to defend the counting up method because so many parodies of it bounce around social media.

But, on the other hand, I think that if they’re going to include subtitles like, “[W]hy you hate common core and why we need a new perspective in addition” they should at least follow up with an argument that holds water.

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  • johneastin

    Sandy, I agree with you.

    Sandy, I agree with you.  What bothers me the most though is that while they are busy designing “new” curriculum to impose on ALL students nationwide, they have forgotten the most basic and essential tenent of education.  Every student learns differently.  Regular Education and Speial Education.  Each will choose his/her own favorite method to determine how many pages you have left.  I totally favor teaching multiple methods of problem solving because just as some students are visual learners while others are auditory learners and still others require hands-on…in order to understand any of the concepts, they all learn differently and a teacher worth his/her salt knows how to present the material in “the” individual way Johnny needs it which is different from the way Sally needs to have it explained to her.  That is the fallacy of Common Core as well as Standardized Testing.  Guess who will have to fix this problem created by elected lawmakers with little if any educational background?  That’s right, it’s gonna be you and me.  As you mentioned above about having an “argument that holds water”, well, that can be tough when (consider education as a ship at sea) you’re in high seas, your engine has quit, you’re out of fuel, your electronics are dead and your crew and the captain have all abandoned ship because you – well not you personally Sandy –  (eg Legislature/Congress) forgot you have to provision them, have a purpose for your crossing and pay them for handling the freight.  Oh I forgot lawmakers did outfit your ship with solar panels….but it’s been cloudy with zero usable sunshine and what little power you generated via these new expensive and untested panels simply cannot be used when you’re out of gas!  Hmmmm.  Nice article Sandy, I feel with and for you on this one…..you nailed it.  I apologize for my long and rambling story but make no mistake it was a standardized story.  Oh, and we’ll test every student in the nation on it too…..sigh