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Lightanchor
Nov 2, 2012
You don't teach intuition by adding explicit steps, and basic arithmetic should be a practical skill instead of a grand entry into the magical world of mathematics

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Lightanchor
Nov 2, 2012
I have a P.H.D. in tenuously caring about dumb internet arguments where nothing's at stake

Lightanchor
Nov 2, 2012
Topeka State

Lightanchor
Nov 2, 2012

Gulzin posted:

We shouldn't teach real math until they had at least 10 years of bullshit rote memorization problems. Once they get those basic skills under their belts, then they can have a grand entry into the magical world of mathematics.

We should also teach music by having kids write perfect compositions before we let them pick up any precious instrument. After 10 years of writing fugues and memorizing the circle of fifths, then they can grab a recorder.

More like, we should teach kids how to read basic sheet music long before we teach them harmonics. It's often important to be able to add and subtract two digit numbers quickly and how to add and subtract larger numbers if necessary, so it's good to teach that to children.

Lightanchor
Nov 2, 2012
You can teach that subtraction is just inverse addition by saying it, out loud, when it's relevant and they're old enough to understand. As far as recognizing the useful aspects of base 10 numbering goes,

Lightanchor
Nov 2, 2012
If I were in that school, I would have resented doing all those steps when I know in a split second that 15-7=8. Maybe that method is helpful for some students. Students should be taught a few ways and be allowed to do whichever is natural for them.

Lightanchor
Nov 2, 2012

Gulzin posted:

Oh, so when was the last time you had to quickly add and subtract two digit numbers quickly? Were you faster than a calculator?

Also, if you had to do it quickly, did you do it with pen and paper, because common core's method makes it MUCH easier to do in your head?

Quickly do 42-29. By common core's method it is easy to do in your head: 29+1=30, 30+10=40, 40+2=42, so 1+10+2=13.

Now do it quickly with the borrow method.

It is? So you have teaching experience?
Please tell me your amazing method here, because I have college students who still don't get this.

Just yesterday, calculating how much time I had before I had to do something.

As for 42-29, I instantly see thirteen. I guess I imagine which number I need to add to 29. Which is how I would explain the inverse addition thing.

I do have teaching experience, hence my insistence that intuition can't be taught. Best thing is to present a few ways of doing something, let your students do it while they can come to you with questions, and if they're wrong try to present it another way. All the learning takes place not in the lecture or the problem set, but in the gears turning in the student's heads when they try to figure out how to do something.

Lightanchor
Nov 2, 2012
Watching you people explain how you do math in your head is really loving with me, can you guys really not add and subtract two digit numbers without breaking them down

Lightanchor
Nov 2, 2012

Lightanchor
Nov 2, 2012
Show the hidden partners on your fingers to an adult. They'll never believe you. Only kids can hear me. SCREEEE

Lightanchor
Nov 2, 2012
I had to look it up: http://www.marioncs.org/webpages/jreesor/news.cfm

Hidden Partner: number pairs that make a given sum (Example: in the number 5, 2 and 3 are hidden partners)

Number Bond: visual way to break apart a number into part, part, whole


Cube stick: ?Squares in a row?

Lightanchor
Nov 2, 2012
The best word defined on that page is rekenrek

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Lightanchor
Nov 2, 2012
i'm permabanned poster numberstomper58. i first started studying common core when i was about 5. by 7 i got really obsessed with the concept of "algorithms" and tried to channel them constantly, until my thought process got really bizarre and i would repeat things like "math situation" and "hidden partners" in my head for hours, and i would get really paranoid, start seeing things in the corners of my eyes etc, basically prodromal schizophrenia. im now on antipsychotics. i always wondered what the kind of "algorithmic" style of common core was all about; i think it's the unconscious leaking in to the conscious, what jungian theory considered to be the cause of schizophrenic and schizotypal syptoms. i would advise all people who "get" common core to be careful because that likely means you have a predisposition to a mental illness. peace.

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