Is there a name for when someone thinks they are really bad at something (for example math) and they have learned not to trust their own intuition at all so they make really wild errors by second guessing themselves?

Here is a question:
Which angles are equal?

To me this is an "easy" question even if you don't know about isosceles triangles or anything. The symmetry of the figure suggests that 3 and 2 are congruent.

I have a student who is struggling with this kind of thing.

@futurebird
Back in the last century I did some simple research for a professional development certificate (I was a Design Tech teacher). It arose when I was teaching an electronics module I found a lot of students confused about up/down, left/right, rotate/flip. I'd give out 20 printed circuit boards and get the kids to hold them so they could see the school logo right way up. (Printed on the circuit track side). Then demo flipping l-r to the blank side where they would insert components(cont)

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.

@jetlagjen

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.

@jetlagjen

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.

@3TomatoesShort @EverydayMoggie @futurebird I was going to suggest paper modeling. I can’t calculate anything to save my life, but give me a concrete thing I can shape with my hands and things start to make sense. You mentioned compasses. Nobody has reliably convinced me they can do anything except make circles. The whole thing where you use them to make angles is deep magic that only wizards can perform.

@futurebird @jetlagjen

Maybe it's just what you are accustomed to.

I normally expect the points to be named, so a line would be named e.g. AB.

The natural way to name an angle then would be something like AB∠BC, which is annoyingly long and thus led people to use greek letters.

@futurebird what I find less confusing is the version I was taught. Whether that's because it works better for my brain, or because it's familiar, I do not know.

I'm used to seeing all labels being letters, but only the angles / vertices / lines relevant to the question. So on this one, because it's asking about angles, the angles would be labeled with letters by little arcs. I find the extra labels on the point confusing because we don't need to do anything with the points to answer the question.

Of course, the downside is that some people will get confused between angles and points, even with the arcs.

I'm pretty sure there isn't a single way of showing this that is easy for everyone.

@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.

@futurebird i was a kid like that, and i later got diagnosed with dyscalculia. The reason i didnt get diagnosed as a kid, was because i have very strong memory so i just memorized everything. So i could really struggle if a triangle was a little rotated, because it didnt fit the example i memorized.

@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.

@futurebird oh, no. This isn't obvious at all.

@futurebird @3TomatoesShort @EverydayMoggie intuitive…you keep using that word. I do not think it means what you think it means (to paraphrase the immortal Inigo Montoya)

@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.

@futurebird @3TomatoesShort @EverydayMoggie I wouldn’t. I’d use two rulers as god intended.

@Bumblefish @3TomatoesShort @EverydayMoggie

Ok but try.

@futurebird @3TomatoesShort @EverydayMoggie I got a circle.

@futurebird @3TomatoesShort @EverydayMoggie I got a circle.

@Bumblefish @3TomatoesShort @EverydayMoggie

Great use the center and the circle to make a pointy triangle.

@futurebird @3TomatoesShort @EverydayMoggie Oh wait if I lie it down and trace around it I got a…wait wait *that’s* got an angle . What’s going on here?