Re: [MATHEDCC] Graphing Calculators

Wayne F. Mackey (wmackey@comp.uark.edu)
Thu, 10 Jun 1999 09:35:27 -0600

Please everyone read this statement by Martha Haehl and quit worrying about
whether you should teach calculator manipulations or paper manipulations.
Teach neither one. They can do the manipulations or, if not, can easily
learn them without any help, but, as Martha says, they have very little
understanding of anything.

> Before responding to the discussion, I thought I would put out a
>math joke. If you don't like jokes about mathematicians, fast
>forward to the serious stuff. Joke: Three statisticians went
>deer hunting. They had not been in the woods long until they spotted
>a deer. Two of the statisticians took a shot. One shot went about
>one foot in front of the deer and the other about a foot behind the
>deer. The third statistician gleefully exclaimed "We got it!"
>From previous post: "How do young people learn mathematics? How
>should such knowledge (?) relate to the activities, expectations, and
>understandings of teachers." Certainly, the question of how
>people learn mathematics needs to be at the heart of all of our
>debates as well as in light of a changing world, what mathematics
>should be taught (since in any curriculum we barely scratch the
>surface of mathematical thinking or skills). The first time I
>incorporated graphics calculators into college algebra, I was most
>shocked by students who had decent procedural skills but very little
>understanding of the connection of graphs to the skills. I was
>further amazed how difficult it was for them to make the
>connections. Some rote memory, whether that be memorizing algebraic
>procedures or memorizing key strokes, will no doubt always be a piece of
>mathematics instruction. The problem with either a traditional
>or technology approach comes when the content of the course itself is
>predominately rote procedures and students are not expected to interpret
>and apply their knowledge to situations other than ones that follow
>specific templates. Such teaching may build short-lived skills, not
>it is not likely to build mathematical thinking. Some students get
>the skills and mathematical thinking in spite of the system. We're
>the ones who teach math. Martha

wayne

Wayne F. Mackey
Director, Math Resource Center
ScEn 301
University of Arkansas, Fayetteville
501-575-7661
wmackey@comp.uark.edu

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