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Math teacher. MA in math. Applying to Math Ed Ph.D. programs. Casual clarinetist and pianist.


Sep
24
awarded  Autobiographer
Jul
2
awarded  Curious
Apr
13
awarded  Notable Question
Mar
24
awarded  Popular Question
Mar
11
comment Is there a name to refers to anything that is a point, line, plane, etc?
Sorry, I missed the "necessarily" part of Loki's answer.
Mar
11
comment Is there a name to refers to anything that is a point, line, plane, etc?
Ok, but what if they do. In high school language.
Mar
11
asked Is there a name to refers to anything that is a point, line, plane, etc?
Dec
11
awarded  Yearling
Dec
8
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
I like the subset idea.
Dec
8
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
Yeah but is showing it via induction really the most intuitive way of showing it? At least for me it is not.
Dec
8
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
@John: example 3 was just the sort of thing I was looking for. Can you think of others at about that level?
Dec
5
comment Why is $\frac{1}{\frac{1}{X}}=X$?
Here's another way I look at it: say $x=2$. $1\div\frac{1}{2}$ asks ``How many one halves fit inside one?" Well, two one halves fit inside one.
Dec
5
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
And I'm going to avoid visual. Many of my students are not comfortable with visual things.
Dec
5
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
The problem with the sum of the first n numbers is that, at least to me, that formula doesn't come to mind by looking at it for n=1, and THEN for n=2, and THEN for n=3 ...and my students already figured out a proof for it non-inductively. I have a similar reservation for the first n squares. Sorry that I am being a pain!
Dec
5
comment What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
I feel like I want something slightly less intuitive than that. At least for me, I don't think mentally that it is true because of induction - instead I think immediately of the curves $y=n$ and $y=2^n$, and based on what we covered, my students probably will too.
Dec
5
asked What is a good example to show high school students why a proof for induction is a reasonable kind of proof?
Sep
21
awarded  Teacher
Sep
1
awarded  Nice Question
Jun
26
answered Why is $\frac{1}{\frac{1}{X}}=X$?
Apr
19
awarded  Popular Question