| Discussion: | All Topics |
| Topic: | Does step size really equal speed? |
| Related Item: | http://mathforum.org/mathtools/tool/13171/ |
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| Subject: | RE: Does step size really equal speed? |
| Author: | suehellman |
| Date: | Feb 6 2010 |
that it is not a perfect representation of reality. The runners race at a
constant rate. If a runner faces backwards, he cannot move. When the runners are
stopped, time stops as well. But these do not take away from its potential as a
teaching TOOL to get students thinking about relationships of variables on a
graph.
I think it would be an important discussion to talk about how step size is
arrived at -- in this case rise/run and how strange it is to think that a
giant-sized change in position/a giant-sized time can be equivalent to a
tiny distance/tiny run.
I see the 'steps', not as steps people would take which cannot be counted on
this graph, but like the steps on a staircase graph and then the analogy bends
to nicely take students to an understanding of slope.
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