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That's a really good point. Though I do think the article is specifically about math, it generalizes to the point you're making. I thought the article did a p
by geebee 10y ago
That's a really good point. Though I do think the article is specifically about math, it generalizes to the point you're making.
I thought the article did a particularly good job explaining how the "new math" is very dependent on high quality teaching rather than adhering to a new curriculum.
Unfortunately, I think this is where the US has fallen down where it comes to math (and, as you've pointed out, other subjects). We seem to think we need to find the magic approach that will work.
My kids are in school, and they are doing common core math. In many ways I do think it's much better than the old way (put the big number in the house, put the little number outside the house... except if you're dividing the little number by the big number...). There are a lot of good ways to add fractions, or do long division. It's not only math, but math is actually an unusually good subject to teach this kind of creative problem solving.
Here's what I see as the problem: we observe a teacher approaching a problem a different way. When students are asked to subtract 4 3/4 from 6 2/5, you could do the ol' algorithmic cross multiply trick. It's long, and boring, but it does work. Or, you could write the numbers down on a number line, notice that there are distances between the numbers that amount to integers, and small additional bits of remaining distances that amount to fractions. Add those up and you've got your solution.
That's just one of many possible approaches. My guess is that a talented teacher might do this, or something else.
Here's what I feel common core does: it notices one particular creative approach and concludes, "oh, the way to teach this is Step 1: create a number line, step 2: mark off the whole numbers, Step 3:..."
Essentially, they're looking to reduce the creative approach to another mechanical set of steps. This may be an overstatement and overuse of this phrase, but it's sort of a "cargo cult" of math instruction. The point never was the number line, it was that a teacher was talented enough to see a better approach for this problem, and that, after repeated examples and exercises, the students develop this ability as well.
I do think this article gets at this - that the point isn't the particular "creative" approach, it's the creative approach itself.
Unfortunately, this will never work without talented teachers. They need to be drawn from the top tier of math grads, they need to be very good at teaching and connecting with students, they need to be fluid and creative in their approach, and they need excellent training and experience.
Almost nothing about the US educational system, outside a few very selective and rare programs, would draw this sort of person into teaching (I hope it's obvious I'm not talking about research universities).
The irony is, once you have these teachers, I suspect don't really need to formalize this approach! "Common Core Math", if done well, is probably what talented, creative math teachers would naturally do on their own. You can't get it from a set of mechanical steps, and if you're doing what you should (drawing in top teachers), you don't need the mechanical steps anyway.
- TheOtherHobbes 10y agoTwo things: firstly I think most teaching devolves to a cargo cult, unless the culture explicitly tries to keep this from happening. Secondly, this quote: "Admittedly, a tenacious commitment to improvement seems to be part of the Japanese national heritage." I wonder if a missing phrase might be "collective and individual improvement". Anglo cultures seem to lack this, because they seem to be more about authoritarian displays of power than about striving for collaborative competence. It's not that individual teachers are necessarily authoritarian - although many school boards seem to be. It's more the political subtext is 'Shut up, listen to my authority, obey, and repeat." A culture based on "Think, explore, explain, discuss, debate, experiment, and fact-check" works very differently. When teaching looks more like the first than the second, *it's not really teaching STEM fundamentals" - it's teaching a robotised cargo cult version of STEM that doesn't truly promote STEM principles. Kids have three options - they can either obey, which will get them good grades but no deep understanding. They can fail - which is a popular choice, because rote learning is harder than learning by deep understanding. Or they can fail and rebel and decide that math is a waste of everyone's time, because who the hell cares, and would you like fries with that? So math teaching is a symptom of a deeper problem, which is a culture that's more geared towards top-down competitive hierarchical classroom dynamics - with the teacher as top dog - than to promoting non-competitive collaboration and sharing of individual insights, with the teacher as inspiring facilitator.