Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Of Interest
Replies: 38   Last Post: Nov 5, 2012 7:48 PM

 Messages: [ Previous | Next ]
 Louis Talman Posts: 5,100 Registered: 12/27/05
Re: Why Dehaene is Wrong
Posted: Nov 1, 2012 11:01 AM
 att1.html (3.7 K)

On Wed, Oct 31, 2012 at 9:39 PM, Robert Hansen <bob@rsccore.com> wrote:

>
>
> My hypothesis is that quantitative sense and number sense are two very
> different things. One is concrete and physical while the other is imagined
> and abstract yet can be applied to the first.
>
>
> The issue then becomes one of devising *experiments* to follow up on this
> hypothesis---not, as you seem to think, offering rationalizations for not
> believing it. Most of those rationalizations can be easily defeated by
> noting that humans have bigger, more versatile brains---which are capable
> of extending innate qualities in ways that animal brains aren't.
>
> What couldn't be so defeated is evidence from well-defined experiments.
>
>
> Well, I have devised the experiment, and solved the riddle, without even
> having to perform the experiment. There is the line between quantitative
> sense and number sense.
>
>

You've devised a thought experiment that demonstrates that you use the
phrase "number sense" in a different way than Dehaene uses. It demonstrates
nothing about humans' failure to connect what you call "quantitative sense"
with the algorithms of arithmetic.

And any teacher knows that the lesson you think you taught is often quite
different from the lesson the students learned. So your "\$\$\$ for books"
offer is irrelevant.

It's pretty easy to show that many kids don't know what addition is for.
Tell them that it takes Lou 4 hours to wash all the windows, but that Bob
can do the same chore in 3 hours. Then ask them how long it will take them
it they both work on the job together. You'd be surprised at the number of
college students who will tell you 7 hours or 3.5 hours.

--Louis A. Talman
Department of Mathematical and Computer Sciences
Metropolitan State College of Denver

<http://rowdy.mscd.edu/%7Etalmanl>

Date Subject Author
10/29/12 Louis Talman
10/29/12 Robert Hansen
10/30/12 Louis Talman
10/30/12 Robert Hansen
10/30/12 Paul A. Tanner III
10/30/12 Louis Talman
10/30/12 Robert Hansen
10/31/12 Louis Talman
10/31/12 Robert Hansen
10/31/12 Louis Talman
10/31/12 Robert Hansen
10/31/12 Louis Talman
10/31/12 Robert Hansen
11/1/12 kirby urner
11/1/12 Robert Hansen
11/2/12 Robert Hansen
11/1/12 Louis Talman
11/1/12 Robert Hansen
11/1/12 Louis Talman
11/2/12 Robert Hansen
11/2/12 Louis Talman
11/2/12 Robert Hansen
11/2/12 Robert Hansen
11/2/12 Louis Talman
11/4/12 Wayne Bishop
11/4/12 Louis Talman
11/4/12 Robert Hansen
11/5/12 Wayne Bishop
11/5/12 Louis Talman
11/5/12 Wayne Bishop
11/5/12 Robert Hansen
11/5/12 Louis Talman
11/5/12 Gary Tupper
11/1/12 Wayne Bishop
11/3/12 Robert Hansen
11/3/12 Robert Hansen
11/3/12 Louis Talman
11/3/12 Robert Hansen
10/29/12 Robert Hansen