how did you get 3?

excerpts:

In any classroom anywhere you go, you’re going to have an incredibly broad range of kids, socially, academically, all across the spectrum. And so how does a single person as a teacher, as a manager, teach 20 to 30 kids in a single classroom when that ability range is so wide. I personally believe that the social skills and more importantly the students building social skills to help them work together to talk about math, to explain their thinking, to offer help when another student is struggling, and just as importantly for that child to be able to accept help — that’s a really difficult part of that equation. All of those skills are part of the social arena that we’re working in and without them I don’t know how you could teach a classroom with such a broad range of abilities.

[snip]

5th grade girl: “How did you get 3 when if you did the half of 8? That’s 4.”

5th grade boy: “I don’t know how I got 3.”

[snip]

Say we provide a math problem. Many students can find the answer very quickly. But can they explain the process that was happening in their mind? Can they explain it to somebody that doesn’t understand it? Take a really gifted kid, for example, and you have them try to explain a multiplication problem, a very basic one. They know the answer like that. And try to have them explain it to somebody that it doesn’t come so quickly to. It’s an amazing activity to watch, to see them think through the process. Oh well I know that 3 x 4 is 3 groups of 4 or 4 groups of 3 and here’s how I see it and here’s what it looks like visually and that’s how I get to this answer. It’s an entirely different skill to be in tune with your own thinking. And so in order to do that in the classroom, those social skills need to be in place.

brought to you by The George Lucas' Educational Foundation

(If the video doesn't load, you can watch it at edutopia.)

update:

Here's the Singapore Math 4B placement test, which is the test kids take after completing 4th grade. (pdf file)

Here's the second part of the 1st question on the test:

1. (b) Arrange in increasing order.

5/8 0.602 3/5 0.66

I really want to see that one done with plastic squares.

OK, here's the first word problem on the test:

6. A meter of lace cost $0.40. Mrs. Jacobs bought 5.5 m of lace. She used 1.3 m to make a dress. She used the rest to make 4 cushions of the same kind.
(a) How much change did she receive if she paid for the lace with $10?
(b) How much lace did she use for each cushion? Give your answer in meters and centimeters.

Compare that to the problem tackled by the 5th graders in Alaska:

Mike has $8.00. Kelly has twice as much as Mike and Joe has half as much as Kelly.

The teacher's sole intervention, in the video, is to ask one of the students:

“Do you know what that word twice as much means?”

tripping up the gifted kids

It seems to be a big win for the teacher, figuring out a way to trip up a "gifted" kid on a simple multiplication fact. I wonder if this teacher forces the gifted students to define "twice" for their less able peers along with teaching them multiplication?

Of course, the idea that a 5th grade child who can answer "What is 3 x 4?" just like that is gifted may be the central Decline and Fall moment in this video.

Which is coming to us from George Lucas.

Parents have to get their kids out of the public schools if they can. Sauve qui peut.