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Topic:
Are functions really functions?
Replies:
7
Last Post:
May 15, 2017 7:24 PM




Re: Are functions really functions?
Posted:
May 15, 2017 4:37 PM



On Mon, May 15, 2017 at 1:18 PM, Robert Hansen <bob@rsccore.com> wrote:
> The issue isn?t about formalism at all. It is simply because programming > functions and mathematical functions are entirely different things, even if > they are analogous. A student can't appreciate an analogy between two > different things if they only know one of them. If I taught you Spanish, > that doesn?t mean you now know Latin, or even how Latin is like Spanish, or > different from Spanish. When we use analogies to teach, it is required that > the student already know the source of the analogy, and we leverage that to > teach the target. > > >
So in a few minutes I get in my car, and go teach curriculum I didn't invent, in which the MIT Scratch function will be introduced to the good children of a local school. I don't know exactly which grade, first or second? I'm a sub.
So lets at least agree on the anthropological fact that many students will be getting their first exposure to "function" not from their regular math teacher, but from an auxiliary like me, because when it comes to Learning to Code, we can't afford to wait until middle school.
I'd link directly to the Scratch program we're gonna remix, but I know you'd only have put downs, so I'm not using mathteach to get detailed anymore. I'm actually fading out, as other conversations are more vitally connected to what's actually happening on the front lines. People here seem mostly armchair, retired knowitalls. Some have textbooks to their name in the textbook graveyard.
> Also, when programming, you are often implementing mathematical models, > and if you don't understand the math, you can?t understand the model, let > alone implement it in code, other than just copying it off the board. Just > like knowing Spanish, doesn?t make you able to write a Spanish to Latin > dictionary. You would also need to know Latin. >
You can gain a better understanding of the math from seeing the concepts encoded, that's the point.
The really slow teachers, the one who don't get it, think "first you need to learn the math, then you can apply all that math you learned to learning programming." I take on that misconception in my Youtube on decorator syntax in Python, shared to edusig. Go find it if interested, but I doubt you're much interested.
> > > The students at Phillips enter the class, strong in math, at least through > Algebra, and each topic is presented in its math form first, and then they > move on to creating models in code of the math they have learned. >
How did they get to be "strong in math" I wonder? Could it have anything to do with that they get a hybrid of math + programming right from square one?
>From the sample of schools I've been in, since this post O'Reilly School of Technology job, I know that's the case here in Portland. I'm guessing Florida is some years behind, but that's nothing new. I live in the Silicon Forest. Nothing like BradentonSarasota, where I had a semester of high school. Not even the same dialect of English.
> > > If any students are being robbed, it would be those with no math skills > being told that this is fine because programming replaces the requirement > to know math. Or, you will learn how to complete a square by copying code > that does it. > > >
You still thinking of coding and doing math as separable activities.
Hard to take mathteach seriously these days. I'll be back sometime in the Fall maybe. I've got a lot on my plate these days and need to make faster progress.
See you in September maybe. Bye all.
Kirby
PS: I'll be linking back to these threads from all over, but mainly to demonstrate how the USSA is *not* where it's really happening, except in niches. Time to get back to the front lines. This armchair stuff is not that interesting.



