Sunday, August 28, 2016

Common Core’s New New Math has the Same Problem as the Old New Math

By:  Steven Singer, Director BATs Blogging/Research Team
Originally published on his blog
little tired boy sitting at a desk and holding hands to head

Bad ideas are like unlucky pennies – they keep coming back again.
Take the New Math. Or maybe I should say the New New Math.
Common Core State Standards suggests we teach children a new way to do arithmetic. We should focus on multiple ways to reach an answer with an emphasis on understanding the concept behind the problem rather than just manipulating numbers.
It sounds fine in theory – until you think about it for five minutes.
When learning a new skill, it’s best to master a single, simple approach before being exposed to other more complex methods. Otherwise, you run the risk of confusion, frustration and ultimately not learning how to solve the problem.
Take directions.
If you’re lost and you ask for directions, you don’t want someone to tell you five ways to reach your destination. You want one, relatively simple way to get there – preferably with the least amount of turns and the highest number of landmarks.
Maybe later if you’re going to be traveling to this place frequently, you may want to learn alternate routes. But the first time, you’re more concerned about finding the destination (i.e. getting the answer) than understanding how the landscape would appear on a map.
This is the problem with Common Core math. It doesn’t merely ALLOW students to pursue alternate methods of solving problems. It REQUIRES them to know all the ways the problem can be solved and to be able to explain each method. Otherwise, it presumes to evaluate the student’s understanding as insufficient.
This is highly unfair to students. No wonder so many are failing.
Sadly there’s some history here that should have warned us about the perils of this approach.
Common Core isn’t the first new math approach to come along. In the 1960s we had a method actually called “The New Math.” And like Common Core, it was a dismal failure.
Like the Core, it proposed to focus more on conceptual understanding, but to do so itneedlessly complicated matters at the grade school level.
It introduced set theory, forcing students to think of numbers as groups of objects rather than abstractions to be manipulated. In an advanced undergraduate mathematics course, this makes perfect sense. In first grade, it muddles the learning tremendously.
To make matters even more perplexing, it mandates students look at numbers with bases other than 10. This is incredibly confounding for elementary students who often resort to their fingers to help them understand early math.
Tom Lehrer wrote a very funny song about the new math which shows how confusing it can be. The methods used to solve the problem can be helpful but an emphasis on the conceptual underpinning at early ages perplexes more than it helps:
Popular culture is full of sly references to this old New Math. Charles Schultz wrote about it in several Peanuts comic strips in 1965. In one such strip, kindergartener Sally gets so frustrated trying to solve a New Math problem she cries, “All I want to know is, how much is two and two?” New Math even made an appearance in the 1973 movie “There’s No Time for Love, Charlie Brown,” in which the titular Brown asks “How do you do New Math problems with an old Math mind?”
Screen shot 2016-08-27 at 3.10.40 PM
In the 1992 episode of the Simpsons, “Dog of Death,” Principal Skinner is elated that an influx of school funding will allow him to purchase school improvements. In particular he wants to buy history books that reveal how the Korean War ended and “math books that don’t have that base six crap in them!”
So where did this idea for New Math come from?
In 1957, the Soviets launched Sputnik sending Americans into a panic that they were being left behind by these Communist supermen. As a result in 1958, President Dwight D. Eisenhower passed the National Defense Education Act which dramatically increased school budgets and sent academics racing for ways to reform old practices. One product of this burst of activity was the New Math.
A decade later, it was mostly gone from our public schools. Parents complained they couldn’t help their children with homework. Teachers complained they didn’t understand it and that it needlessly confused their students.
Fast forward to 1983 and President Ronald Reagan’s National Commission on Excellence in Education. The organization released a report called “A Nation at Risk” that purported to show that public schools were failing. As a result, numerous reforms were recommended such as increased standardization, privatization and competition.
It is hard to overemphasize how influential this report was in education circles. Even today after its claims have systematically and thoroughly been debunked by statisticians like those at Sandia National Laboratories, politicians, pundits and the media persist with this myth of failing public schools.
“A Nation at Risk” birthed our modern era of high stakes testing and, in 2009, Common Core.
In theory, each state would adopt the same set of academic standards thereby improving education nationally. However, they were written by the standardized testing corporations – not working educators and experts in childhood development. So they ignore key factors about how children learn – just like the New Math of old.
In short, we repeated the same mistake – or a very similar one.
Children are not computers. You can’t program their minds like you would a MacBook or iPhone. In many ways, including math instruction, Common Core ignores these facts.
And so we have the same result as the old New Math. Parents all over the country are complaining that they can’t help their children with their homework. Teachers are complaining that the Core unnecessarily confuses students.
In some ways, the Core is worse than the old New Math because of its close connection with high stakes testing. In the ‘60s if a child didn’t understand how to add, he failed math. Today, if a child does that, he fails the standardized test and if that happens to enough students, his school loses funding, his teacher may be fired and his school may be closed. As such, the pressure today’s children undergo is tremendous. They aren’t just responsible for their own learning. They’re responsible for the entire school community.
But perhaps most telling is this: it doesn’t help children learn.
Isn’t that what this was all supposed to be about in the first place?
Perhaps we don’t need a new math. Perhaps we simply need policymakers willing to listen to education and childhood experts instead of business interests poised to profit off new reforms regardless of whether they actually work.

No comments:

Post a Comment