@Bumblefish @3TomatoesShort @EverydayMoggie
EXACTLY!
The legs of the compass are the same length (roughly) so it makes an isosceles triangle.
@Bumblefish @3TomatoesShort @EverydayMoggie
EXACTLY!
The legs of the compass are the same length (roughly) so it makes an isosceles triangle.
@Bumblefish @3TomatoesShort @EverydayMoggie
OK now I'm confused what you have done. This is what I was expecting. But, people always surprise me.
@Bumblefish @3TomatoesShort @EverydayMoggie
Great use the center and the circle to make a pointy triangle.
@Bumblefish @3TomatoesShort @EverydayMoggie
Ok but try.
@Bumblefish @3TomatoesShort @EverydayMoggie
OK let me try this one:
How would you use a compass to make a very pointy isosceles triangle like a wizard's hat? For a quilt or something.
If anyone has ideas to make the idea of copying an angle more obvious I would love it.
I've tried pointing out that it's basically copying a triangle too. You are duplicating the length of all three sides and thus you get the angle for free.
It's "Side Angle Side" ... but that seems maybe more confusing than just doing it a few times and feeling how well it works.
If I go for more than 15 min without any questions or conversation I question if I'm being boring, or wasting time.
Class time is precious and I do kind of hate using it for tests... but some things are just best when you can... have a conversation.
I expect is just smells nice? Formic acid has a lemon like smell. I could see it working.
This is interesting. The student happens to be really good at memorizing things. And thinking back when a problem is rotated it really throws her.
Maybe we can work on doing things like first rotating the paper to a familiar position.
How do you name the vertices?
We could go with greek letters rather than numbers but I have tried this and students find it more confusing than the numbers.
I don't really think the issue this student has is due to labeling.
I've never seen it done that way before. But I do think it's more clear than using three letters since the vertex is repeated and stands out a bit more.
@Bumblefish @3TomatoesShort @EverydayMoggie
"The whole thing where you use them to make angles is deep magic that only wizards can perform."
I've noticed that the angle construction is harder for students. Not just this one who's having extra difficulty, but all of them are a little mystified when I say "now we'll copy an angle" but there is some good intuitive geometry in this construction.
A compass isn't just for making circles. It's a fixed distance you can put wherever you want.

I'm trying to understand this.
If I flip a board "l-r" will the result be different than "r-l" ?
The way I'm picturing this the answer would be "no" right?
We use the numbers consistently because I find using three letters is more confusing for most students.
eg ∠ABC = ∠BCA
vs. ∠3 = ∠2
Which do you find less confusing?
We could also do ∠B = ∠C but naming angles by single letter is a bad habit since there can be multiple angles at a vertex.
We require this sign for the FDR highway in NYC.
Sometimes you can learn a LOT from a bad teacher. But that tends to come later in ones education.
(thinking of my analysis teacher in college. good lord. )
Very very few people are really "bad at math" in any real sense of the phrase. It's possible... but most of the time it's more like "had bad experiences being wrong and now avoid it" or "it's tedious and I have other things to do"
To be honest I don't really know. I've known her for only a few months and she's working very hard, possibly too hard to keep up. I'm worried she has some horrible complex system to either compensate or avoid dealing with the spatial reasoning.
I have the students work with compasses and it helps some of them. The compass is her mortal enemy. Every time she places it, it's just a guess ...
One of the harder things to accept as a teacher is that some kids will just never like math. That's fine though. I can cope.
What everyone *can* like (at least) is getting the right answer and knowing it's right. Knowing that yourself not needing anyone to tell you.
So I'm hoping we can at least get to that stage.
Right now I think she thinks I'm just making up geometry as I go and it's basically Calvinball.