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Re: How teaching factors rather than multiplicand & multiplier confuses kids!
Posted:
Nov 10, 2012 3:26 PM


Clyde Greeno says: >But the essence is that: (1) students first must grasp that the line of rational numbers is dense ... but also having a density of "irrational" holes, and (2) also perceive how the "zoom in" squeeze on a function, at each point within or outside its domain, converges to a (sometimes empty, sometimes singlepoint, sometimes otherwise) "vertical" interval.
I would say the common sense view is that a continuous function is one whose graph can be drawn without lifting the pencil off the page. What you describe is a mental picture to go with the more advanced understanding. All well and good and I wouldn't be surprised if someone has created a nice interactive computer animation to illustrate.
Joe N



