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# Peer Review

## Ratings

### Overall Numeric Rating:

Content Quality:
Effectiveness:
Ease of Use:
 Reviewed: Jan 20, 2006 by Mathematics Overview: This applet illustrates the use of Newton's Method to approximate solutions to a particular equation involving the square of cosine. The user can choose an initial approximation and then observe Newton's Method step-by-step. Type of Material: Simulation Recommended Uses: In-class demonstration Technical Requirements: A Java-enabled browser. Identify Major Learning Goals: To illustrate the convergence of Newtons Method to the solution of a particular equation. Target Student Population: Students in Calculus I. Prerequisite Knowledge or Skills: Understanding the use of the first derivative in determining tangents to curves.

### Content Quality

Rating:
 Strengths: This applet does a good job of showing how the selection of different initial points affects the convergence of Newtons Method to a solution. Concerns: The site could use an introductory paragraph explaining Newtons Method and perhaps providing a derivation of the basic formula.

### Potential Effectiveness as a Teaching Tool

Rating:
 Strengths: This applet is a well-designed visual aid for a one-time in-class demonstration. The applet is a nice, large size, the function is well-chosen with several roots, and the viewing rectangle is quite appropriate. Concerns: The function to which Newtons Method is applied cannot be modified. That obviously limits somewhat the effectiveness of the applet. Also, enhancements such as a zoom capability and a counter for the number of iterations would have been beneficial.

### Ease of Use for Both Students and Faculty

Rating:
 Strengths: The applet is extremely easy to use. Concerns: none

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