This is an a 12-minute Macromedia Flash audio/visual presentation designed for Pre-Calculus Algebra students; it explains and illustrates the inverse relationship between exponential functions and logarithmic functions involving the same base including use of a graphing calculator. This is one of several such modules created by the same author. See other reviews of Logarithm Change of Base and Parabolas. A common introductory page with links to each module would be useful for outside users.
Type of Material:
Student tutorial or classroom supplement.
Macromedia Flash Movie Player.
The material does not perform effectively with a dial-up connection.
Identify Major Learning Goals:
To provide an audio/visual demonstration of the nature of the inverse of the exponential function.
Target Student Population:
High school and college students
Prerequisite Knowledge or Skills:
Basic algebra and some familiarity with a graphing calculator
This audio/visual presentation, created with Camtasia, is simple and effective and illustrates the inverse relationship between f(x)=2^x and g(x)=log(base2)x. A pair of animated TI-83 Plus calculators is used to illustrate the relationship. There is a good discussion of domain of the logarithm function and calculator behavior.
Potential Effectiveness as a Teaching Tool
The audio/visual presentation is a self-contained unit and explains the inverse relationship clearly and effectively. The use of side-by-side calculators is particularly effective, as is the illustration of the geometry of inverse functions with reflection in y=x.
There is no opportunity for interaction on the part of the user other than navigating forwards or backwards through the presentation. Additional examples would have been helpful. Some mention of the important applications of logarithm and exponential functions would be useful motivation. Inclusion of a couple of homework examples with answers would also be useful.
Ease of Use for Both Students and Faculty
The 12-minute presentation provides navigation buttons to move forward or backward through the presentation and displays the elapsed time at the bottom of the screen along with the total time. The integration of audio and visual pointer on the calculator is very effective.
There is no jump feature to allow users to jump to a specified point in the presentation.
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