|
1 registered (chris1234),
5
Guests and
2
Spiders online. |
|
Key:
Admin,
Global Mod,
Mod
|
|
|
#20609 - 07/19/08 11:46 AM
Conceptual mathematics
|
Member
Registered: 09/01/07
Posts: 268
Loc: California
|
Just found this on the CNN website. It's a piece about a conceptually based approach to teaching maths. I guess these approaches are seductive on the surface, but they break down when you look at them more closely. For example, why must this method exclude long division? Isn't long division simply another valid approach? If so, then why can't they teach it? I don't understand this at all. Also, their "conceptual" approach to multiplying may work for 88*5 (see article), but will likely break down for almost everyone for 59877.26*6475.458. <sigh> The gifted kids will have figured this out on their own, and the others won't have learned how to multiply the old-fashioned way and so won't be able to solve the problem without a calculator. Math Fad It's like they're going to the other extreme from too much drilling. Val
|
|
Top
|
|
|
|
#20614 - 07/19/08 12:30 PM
Re: Conceptual mathematics
[Re: Val]
|
Member
Registered: 06/08/08
Posts: 334
Loc: Nowhere in particular
|
Yes, Val. I'm so happy that someone else saw this.
I read this article on CNN and had to laugh. I thought I was a lone, secret rebel in teaching my kid math the old-fashioned way. DS8 has Everyday Math in his PS. While it is not too terrible for most subjects (fractions are introduced in 1st grade, lots of geometry and 3-D shapes, and tons of word problems for math.. to name a few), it does a horrible, horrible job of teaching division in 3rd. The emphasis is on getting a "ballpark estimate" first, before explaining to the kids how do actually do division. For example, if the problem was to divide 529 by 13, they would emphasis that it is about 40. (in a very hand-waving way). Our problem arose in that DS had to have a firm understanding of size and scale, or he would start out trying out too small of a number for the ballpark estimate and get frustrated and quit. (13x5, no too small... 13x7, no too small.. this was a long, long approach to get to 13x40!!)
So after about 25 minutes of sheer frustration, I finally said look... here is the easy way, and showed him long division. He could do all of the problems easily after that.
I understand the importance of being able to do rough math in your head quickly. But maybe this should be a refinement AFTER the basic concept has been mastered.
Oh and Everyday Math teaches multiplication using two different method (as an extra way to confuse the kiddos!)... the lattice method and the partial products method. Neither are made for multiplying large numbers.
Is anyone else stuck with this type of math program? Our school has been using it for 4 or 5 years now, and the scores on the state achievement tests appear to be going down in math proficiency.
|
|
Top
|
|
|
|
#20645 - 07/20/08 05:19 AM
Re: Conceptual mathematics
[Re: Cathy A]
|
Member
Registered: 09/19/07
Posts: 3654
Loc: here! Where else? (Duh!)
|
I just don't understand the false dichotomy of the "math wars". The standard algorithms are just methods for solving problems. I don't think we should be teaching kids ANY algorithms without explanation. We can explain the standard algorithms just as other methods in Everyday Math are explained. What's different? They should be a part of everyone's problem solving tool box. Sing it, sister! I especially like this sentence: I don't think we should be teaching kids ANY algorithms without explanation.
|
|
Top
|
|
|
|
|
|
|
|
|
|
|
|
1
|
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
|
16
|
17
|
18
|
19
|
20
|
21
|
22
|
|
23
|
24
|
25
|
26
|
27
|
28
|
29
|
|
30
|
|
|
|
|
|
|
|
|