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Topic: [math-learn] Transforming formulas
Replies: 55   Last Post: Feb 19, 2007 11:48 PM

 Messages: [ Previous | Next ]
 Moti Levi Posts: 8 Registered: 12/19/06
[math-learn] Re: Transforming formulas
Posted: Feb 5, 2007 10:34 AM
 att1.html (12.6 K)

--- In math-learn@yahoogroups.com, "Paul A. Tanner III" <uprho@...>
wrote:

> But is it? All I'm saying is that after seeing students (including
when
> I was a student) struggle and struggle with trying to make sense of
the
> conditional, and teachers trying and trying to explain it, I kept
> asking myself, "Why doesn't the teacher just change the tense of the
> verb?" Is is really less simple language to use a tense other than the
> present tense? We have children pretend things all the time, using the
> counterfactual tense. Example: As a creative writing exercise, we

could
> have them fill in the blank in "If I were a bird, then _____." I don't
> see that it's necessarily more simple and more appropriate language to
> use the present tense, and ask, "If I am a bird, then _____."
>
> Another example, in the math realm: Which question would more likely
> cause less of a problem for students, the first one using the
> counterfactual tense, or the second one using the present tense? (1)

If
> Earth's radius were the same as Jupiter's, then what would be Earth's
> circumference? (1) If Earth's radius is the same as Jupiter's, then
> what is Earth's circumference?
>
> Paul
>

Yesterday or two days ago I wrote a long response and it seems it didn't
go through the system. Now I'll be concise (ah...bless the system).

I agree that in your examples we should use the counterfactual tense
because it is the right tense to use for the situation discussed.

I was referring to simple word problems such as: Sara had some cookies.
If 9 were taken..." with the point being that instead we can say "9 were
taken..." to simplify it for students, or teach them to drop the if for
simplicity.

Date Subject Author
1/28/07 Antonija Horvatek
1/28/07 John Morse
1/28/07 Zeev Wurman
1/28/07 Ed Wall
1/28/07 Richard Sisley
1/29/07 Rex Boggs
1/29/07 Rex Boggs
1/29/07 John Morse
1/29/07 Chris
1/29/07 John Morse
1/29/07 Antonija Horvatek
1/29/07 John Clement
1/30/07 Paul A. Tanner III
1/30/07 Joshua Zucker
1/31/07 Paul A. Tanner III
1/31/07 Moti
1/31/07 Paul A. Tanner III
1/31/07 timotha@comcast.net
2/1/07 Moti
2/1/07 Antonija Horvatek
2/1/07 John Clement
2/2/07 timotha@comcast.net
2/2/07 John Clement
2/2/07 timotha@comcast.net
2/2/07 Moti
2/2/07 Paul A. Tanner III
2/3/07 Moti
2/3/07 John Clement
2/5/07 Moti
2/5/07 Ed Wall
2/8/07 John Morse
2/4/07 Paul A. Tanner III
2/5/07 Moti Levi
2/4/07 Antonija Horvatek
2/2/07 Ralph A. Raimi
2/3/07 Moti
2/3/07 Ralph A. Raimi
2/4/07 Moti
2/4/07 Ralph A. Raimi
2/5/07 Alva
2/5/07 Moti Levi
2/5/07 John Clement
2/5/07 Ed Wall
2/5/07 John Clement
2/5/07 Ed Wall
2/5/07 Moti
1/30/07 John Clement
1/31/07 Antonija Horvatek
1/31/07 Paul A. Tanner III
2/1/07 Moti
2/1/07 Antonija Horvatek
2/1/07 Antonija Horvatek
1/29/07 Paul A. Tanner III
1/30/07 Jerome Epstein
2/19/07 Jon Wilson
1/30/07 Jerome Epstein