My buddy volunteered to teach some high IQ kids.
No topic. They don't have text book. They have some in "internet" but it's useless because their internet is slow.
So he taught Pythagoras theorem and try to proof it using similarity. Don't seem to work well at all. The kids just "lost it".
Next week, they he teaches "some geometry". Again, no topic. Just "geometry"
At first they learn geometry.
Not given any text book, my buddy start explaining why area of rectangle is width times height. Then why area of right triangle is half times width times height.
Then he also tried to show why are of all triangles are half times width times height. Just divide the triangle into 2 right triangle then sum the area. Simple right?
And to his surprise, the kid didn't seem to understand distributive law in multiplication. And he's quite frustrated.
He uses a, b, and c, and the kids complain. What is a, b, and c? What's the actual number? What is this for? Do we need to know this?
The kids are very pampered but some of their acts show they can graps complex issues. The problem is they do not like splitting those issues into smaller pieces.
I think he's thinking a few different approach
- Definetely we need a text book
- Presumably we may want to go all the way reviewing old Math things. Make sure they know derivation of all formulas.
- I am thinking of some axiomatic approach. That way they do not need to know something "before". Everything is proven from beginning.
- Perhaps, elementary course would be good. So we presume students know nothing.
Any good books?
I think the kids should learn something and read a lot before meeting the teachers' again.
The teacher is not a conventional teach either. The teacher used to take graduate level classes straight without prerequisite. Usually he studied from books. He volunteers out of curiosity.
But even "normal students" show more interests and like his style of explaining everything. Yet this high IQ kids don't seem to like Math at all.