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# Peer Review

## Ratings

### Overall Rating:

Content Quality:
Effectiveness:
Ease of Use:
 Reviewed: Mar 13, 2005 by Mathematics Overview: This interactive, applet-based site steps the student through the process of finding the domain of a function constructed from polynomials, and roots and ratios thereof. New problems are generated at the click of a button. Feedback and hints are provided along the way, and links are provided to pages providing explanations of the concepts and techniques involved. Learning Goals: This site is designed to facilitate understanding of the concept of domain of a function, and of some of the reasons a functions domain may fail to be the set of all real numbers. Target Student Population: This site would be useful in either a high school or college algebra class. Prerequisite Knowledge or Skills: The student should be familiar with the concepts of function and domain. Type of Material: Simulation. Recommended Uses: This site would best be used as the basis for a homework assignment or in an instructor-led discussion. Technical Requirements: A Java-enabled browser is necessary.

### Content Quality

Rating:
 Strengths: There are no apparent mathematical flaws in this site, either in the applet or the linked explanatory pages. The random problem generator works well, generating functions with a variety of domain types (infinite, semi-infinite, finite, with and with endpoints, with and without a single-point hole in the interior). The hints provided as a result of an erroneous response were carefully constructed and are very helpful in directing the user to the correct solution. Concerns: None.

### Potential Effectiveness as a Teaching Tool

Rating:
 Strengths: The major strengths of this site are the graphical, step-wise nature of the required domain determination procedure, and the effective feedback and hints provided during the procedure. The hints go beyond right or wrong, try again. A typical hint might read Notice the inside of the root is positive for large negative values of x. This is both more useful and more thought-provoking than a simple wrong.Enhancing the effectiveness of this site is the existence of an associated assignment created by two other authors. Concerns: Not so much a concern as a suggestion  this is such a nice applet that it would be nice to have another one that incorporates other functions (logarithms, exponentials, trig functions, complex Hankel functions of the second kind, etc.)

### Ease of Use for Both Students and Faculty

Rating:
 Strengths: Using the applet could not be easier. Instructions are simple and clear. Everything works with the click of a mouse. Concerns: None.

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