New answers tagged mathematical-pedagogy
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What should I call the "important" values of x?
Often questions about graph sketching will ask for a sketch showing all relevant points, or in some cases all relevant features. The actual points or features to be shown will vary depending on the ...
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4
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What should I call the "important" values of x?
I've used the term "reference point" or "reference coordinate" when referring to the points on the original function, compared to their transformed locations. I've expected my ...
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Good, simple examples of induction?
Simple proofs (Proofs 1-3)
Bernoulli Inequality
Inequality of AM - GM (There various proof using mathematical induction. You can use standard induction or forward-backward induction.)
Newton's ...
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Good, simple examples of induction?
1)Finitely many lines divide a plane into regions. Show these regions can be coloured by two colours in such a way that neighboring regions have different colours.
2)Showthat there are $2^n%$ number ...
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5
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What should I call the "important" values of x?
For function transformations I use "base point" ($y=a^x$ has base point $(0,1)$, $y = \frac{1}{x}$ has base point $(0,0)$, even though it isn't on the graph).
In calculus I use "point ...
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5
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What should I call the "important" values of x?
When graphing a function (or just investigating it from some point of view), it is, indeed, useful to look at some special points where the behavior changes in some way. Most of them have well-...
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What should I call the "important" values of x?
My advice would not be to strain for a special name like that. Just teach the practice of curve sketching instead (vice inventing a new term, not in the book). f and g are already "important&...
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