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Topic: How teaching factors rather than multiplicand & multiplier
confuses kids!

Replies: 32   Last Post: Nov 17, 2012 11:13 AM

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 Joe Niederberger Posts: 4,239 Registered: 10/12/08
Re: How teaching factors rather than multiplicand & multiplier
confuses kids!

Posted: Nov 16, 2012 5:47 AM

>What I said was that understanding the meaning of drawing a curve without lifting your pencil is NOT the same as understanding the meaning and significance of continuity.

You keep talking about "the significance of X" -- last time it was variables. So, in a nutshell, what is the "meaning and significance" of continuity? How does it differ from an understanding of continuity?

I tossed out the old pencil bit as an example of a starting point for discussion, not as the be all and end all, so I don't get how your supposed observation even applies to what I said. Nor do I understand your "small engine bit" -- I can only guess you think starting with Weierstrass epsilon-delta definition is the *only* way to go. Nonsense. Nor is it the be all and end all definition of continuous function.

I was hoping the notion of focusing rather on discontinuities (at first) would resonate with someone, at least. I guess I'm that old fashioned. The oscillating type is a mind bender for young folk. I would make connections with other scale invariant structures.

Joe N

Date Subject Author
11/12/12 kirby urner
11/12/12 Robert Hansen
11/12/12 kirby urner
11/12/12 kirby urner
11/12/12 Robert Hansen
11/12/12 kirby urner
11/12/12 Robert Hansen
11/12/12 kirby urner
11/12/12 Robert Hansen
11/13/12 Joe Niederberger
11/13/12 Robert Hansen
11/13/12 Robert Hansen
11/13/12 Joe Niederberger
11/13/12 Joe Niederberger
11/13/12 Joe Niederberger
11/14/12 Robert Hansen
11/14/12 kirby urner
11/15/12 kirby urner
11/15/12 Robert Hansen
11/15/12 kirby urner
11/15/12 Robert Hansen
11/16/12 kirby urner
11/16/12 Robert Hansen
11/16/12 kirby urner
11/15/12 Joe Niederberger
11/15/12 Robert Hansen
11/16/12 Joe Niederberger
11/17/12 Robert Hansen
11/16/12 Joe Niederberger
11/17/12 Robert Hansen
11/16/12 Joe Niederberger
11/17/12 Robert Hansen