vendredi 1 septembre 2017

A logic question regarding mathematics education

I'm teaching a high school-level statistics course. There is no class set of textbooks but I have a teachers edition I'm loosely using as a curriculum guide.

I was browsing through "measures of dispersal" and found this sentence:

Quote:

Because tire B has a smaller mean deviation than tire A, the individual values for tire B deviate less from the mean.
I asked students if they could spot a logical flaw in the sentence. They couldn't immediately see it. That "because" bothered me. It seems both clauses are saying the same thing: Because the mean deviation is smaller, the mean deviation is smaller. It's not cause and effect; the book is just stating the same thing 2 different ways. "Begging the question" IMO.

Am I reading that sentence correctly, and is my analysis valid?

I'd like to challenges students with more such logic questions but it's really not the focus of the course. I have quite a bit of leeway though.


via International Skeptics Forum http://ift.tt/2gwqISK

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