The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Education » math-teach

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

Replies: 1   Last Post: Nov 11, 2012 10:06 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Joe Niederberger

Posts: 4,657
Registered: 10/12/08
Re: How teaching factors rather than multiplicand & multiplier
confuses kids!

Posted: Nov 11, 2012 12:39 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Robert Hansen says:
>There is no such thing as a "common sense view of continuity".

Perhaps not for you - only for the rest.

Robert Hansen says:
>What you are trying to say is that a function whose graph can be traced without lifting the pencil is a common sense "interpretation" of continuity. But by itself it is not an interpretation of anything. It is only a damn good interpretation to you and I because we already understand continuity.

Nonsense, mathematicians tacitly understood continuity long before epsilons and deltas. Zeno came up with his famous paradoxes precisely because he saw the trap laying in wait for those who tried to precisely analyze the intuitive concept that all or at least most humans are capable of imagining. The pencil illustration almost perfectly captures that intuition - no gaps.

Joe N

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.