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The Mean Value Theorem

Improvement on Teaching and Learning

Students are able to interact with the program using different functions and different intervals. A multitude of functions can be investigated within minutes. Ambitious students can also start investigating the different commands and programming in Mathematica. There are several concepts in the programming syntax that one could spend time on to understand.

Nontechnology Comparison

Classroom examples on the blackboard can be done but with limitations. Students may get bogged down on the solving of algebraic equations. This module bypasses this issue and tries to focus the students on the existence of such a point, rather than the computations.

Pertinent Issues

While some of the code may intrigue some students, it may terrify others. This module was not written to have students understand the code behind it but rather to utilize its functionality. To the beginning student, few lines need to be changed to look at different functions on different intervals. Any value(s) that may need to be changed is spelled out in the heading of each section of code.

How to use in the Classroom

This module is a good exploration for the student to visualize and interpret the Mean Value Theorem. The best way for exploration is to have student at computer with copies of the program in front of them so they can explore at their own leisure.

Please see the link for Activity.

Click here to view the Interactive Module




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© The Illinois Community College Board, Illinois Board of Higher Education, and Illinois State Board of Education, in conjunction with a Preparing Tomorrow's Teachers to Use Technology (PT3) grant from the U.S. Department of Education, funded this project to infuse technology into the core curriculum at Illinois community colleges and universities.