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Jan
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awarded  Yearling
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awarded  Notable Question
Oct
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Feb
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Dec
22
comment Should a high school introductory calculus class teach $\varepsilon$-$\delta$ proofs?
Yeah, why don't we teach infinitesimals in beg. calculus, now that we have non-standard analysis?
Dec
22
answered Should a high school introductory calculus class teach $\varepsilon$-$\delta$ proofs?
Dec
22
answered proof of chain rule
Sep
24
awarded  Autobiographer
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Apr
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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
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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.