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Topic: Common Core snippet a little distressing
Replies: 73   Last Post: Jul 26, 2013 6:27 PM

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 Robert Hansen Posts: 10,046 From: Florida Registered: 6/22/09
Re: Common Core snippet a little distressing
Posted: Jul 15, 2013 3:46 PM
 att1.html (2.2 K)

On Jul 15, 2013, at 1:30 PM, Joe Niederberger <niederberger@comcast.net> wrote:

> In this particular case, though, I'd have to suspect that Robert just doesn't see it.

Is it too much to ask that if you claim that I don't see "it" that you say what "it" is?

Look, I stacked 1 bag of sand here, and then I stacked 8 bags here, and then 27 bags... Do you see how stacking bags of sand is cubing?

An extreme example? How does that differ from stacking tetrahedrons if the students can't connect[1] it to "cubing" other than it happens to be 1, 8, 27...

Sometimes I think you (Joe) are talking about advanced students who already know cubing (and algebra and calculus) and this tetrahedron stacking an engaging activity. Like figuring out why the sequence 1 + 3 + 5 + 7 ... results in perfect squares. But Kirby produced this as an example of teaching "cubing", only because it happens to result in a sequence of cubes. So does the sequence 1 + 7 + 19 + 37 + ... But neither are very intuitive ways to teach cubing.

We teach cubing with cubes because it is easy to connect the two. It is easy to go from line to area and from area to volume. It is easy to show how increasing the dimensions increases the base of x^3.

Bob Hansen

[1] connect: determine through reason that two things are mathematically identical at some level.

Date Subject Author
7/13/13 Peter Duveen
7/13/13 Robert Hansen
7/13/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/14/13 kirby urner
7/14/13 Robert Hansen
7/15/13 kirby urner
7/14/13 Wayne Bishop
7/14/13 kirby urner
7/14/13 Wayne Bishop
7/15/13 kirby urner
7/15/13 Robert Hansen
7/15/13 Christian Baune
7/15/13 kirby urner
7/16/13 Wayne Bishop
7/16/13 kirby urner
7/14/13 Wayne Bishop
7/14/13 Joe Niederberger
7/15/13 Joe Niederberger
7/15/13 Joe Niederberger
7/15/13 Robert Hansen
7/15/13 kirby urner
7/15/13 Robert Hansen
7/16/13 kirby urner
7/16/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/15/13 CCSSIMath
7/16/13 Joe Niederberger
7/16/13 Robert Hansen
7/16/13 kirby urner
7/17/13 Joe Niederberger
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 Robert Hansen
7/17/13 kirby urner
7/17/13 kirby urner
7/17/13 Robert Hansen
7/18/13 Wayne Bishop
7/17/13 Joe Niederberger
7/17/13 Joe Niederberger
7/17/13 Robert Hansen
7/18/13 Wayne Bishop
7/18/13 Joe Niederberger
7/18/13 kirby urner
7/18/13 Joe Niederberger
7/20/13 kirby urner
7/19/13 Joe Niederberger
7/19/13 kirby urner
7/19/13 Joe Niederberger
7/19/13 Joe Niederberger
7/20/13 kirby urner
7/21/13 Joe Niederberger
7/23/13 kirby urner
7/24/13 frank zubek
7/24/13 frank zubek
7/24/13 kirby urner
7/25/13 frank zubek
7/25/13 kirby urner
7/25/13 frank zubek
7/25/13 frank zubek
7/25/13 frank zubek
7/26/13 frank zubek
7/26/13 frank zubek