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Topic: MathTeachers?
Replies: 31   Last Post: Apr 15, 2013 1:17 AM

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Joe Niederberger

Posts: 4,657
Registered: 10/12/08
Re: MathTeachers?
Posted: Mar 27, 2013 2:23 AM
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Dave Renfro says:
>...not fully realizing the rapidity
of growth of exponential functions and incorrectly interpolating exponential behavior (e.g. the midpoint of 2^4 and 2^8 is not 2^6). For the rapidity of exponential growth, ...

At about what level would you expect a student to be able to figure out for themselves that any straight line of positive (finite) slope passing through (1,0) will intersect any log curve? (Or the alternatively phrased Q. for exp?) Isn't that more concrete than just saying its rapid? And of course its only rapid after it becomes rapid, and til then, its incredibly slow ;-)

Joe N

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