Discussion:  All Topics 
Topic:  Does step size really equal speed? 
Related Item:  http://mathforum.org/mathtools/tool/13171/ 
Post a new topic to the tool: Understanding Distance, Speed, and Time Relationships Using Simulation Software discussion 

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
giantsized change in position/a giantsized 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.
 
Post a new topic to the tool: Understanding Distance, Speed, and Time Relationships Using Simulation Software discussion  
Visit related
discussions: Understanding Distance, Speed, and Time Relationships Using Simulation Software tool  