Our microteaching lesson is going to be covering the topic of estimation and give an introduction to error in estimation. Some assumptions about estimation are:
1) The estimation is not an exactly correct value
2) The estimations was easier to calculate than the correct answer
3) The estimation is relatively close to the actual value
4) Small individual errors can add up to larger errors when everything is added together
5) Estimation involves using incorrect numbers in place of correct values which are hard to use or unavailable
~1: The estimation is the exact answer.
-If one estimates the correct answer, is it still an estimation or was the method a calculation?
-Can you ever know your estimation is correct without checking it explicitly?
~2: The estimation was harder to calculate than the correct answer.
-Will this only be true in trivial questions?
-Would there be a point of estimation if it is harder and less accurate?
~3: The estimation is nowhere near the actual value.
-How close does an estimation have to be to be of use to us?
-How will we know if our estimation is way off?
-Are there any checks we can use that don’t involve actually calculating the value?
~4: Small individual errors don’t give any error when everything is added up.
-Are there cases where the answer has no error but the individual steps had error? Is there a pattern to these cases?
-Should small steps be estimated in alternatively higher/lower fashion in hopes that errors “cancel” out? Could this strategy backfire?
~5: Estimation involves using incorrect numbers in place of correct values, even if they are available and easy to use.
-Is estimation of value even if the real answer is easy to calculate?
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