Tutoring

Peer refresher.(Preview): An article from: Association Management : This digital document is an article from Association Management, published by American Society of Association Executives on September 1, 2003. The length of the article is 662 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Peer refresher.(Preview)
Author: Keith C. Skillman
Publication:Association Management (Magazine/Journal)
Date: September 1, 2003
Publisher: American Society of Association Executives
Volume: 55 Issue: 9 Page: 12(1)

Distributed by Thomson Gale
Peer refresher.(Preview): An article from: Association Management

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Peer Assisted Learning : Peer Assisted Learning (PAL) is defined as the acquisition of knowledge and skill through active helping and supporting among matched companions. This book is a practical guide for teachers to plan and effectively implement different kinds of PAL in any area of the curriculum, in a way which integrates with and complements direct teaching by professionals. The book covers peer modeling, peer monitoring of learning behavior and peer assessment of learning products. It considers the use of PAL with students of all ages, abilities, and linguistic and cultural backgrounds, organized so that both helper and helped gain in achievement. The core of the book is the extensive guide to planning and implementing the chosen PAL method effectively, coupled with a detailed Planning Format. Information for parents is included.
Peer Assisted Learning

• Peer Tutoring: A Teacher’s Resource Guide
• Students Helping Students: A Guide for Peer Educators on College Campuses
• Learning Together: Peer Tutoring in Higher Education
• The Tutoring Revolution: Applying Research for Best Practices, Policy Implications, and Student Achievement
• Tutoring Matters: Everything You Always Wanted To Know About How To Tutor

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Many students feel anxiety when having to deal with trigonometric functions and may want to seek help on homework through online tutoring. These students may have difficulties understanding the six trigonometric functions and their graphs. These functions are sine, cosine, tangent, cosecant, secant, and cotangent. It is also important to understand that these functions do not represent angles themselves but rather functions of angles. In fact, they represent ratios. Online tutoring can be a useful tool not only for help on homework, but also to help clarify the similarities and differences between these functions based on their amplitudes, domains and ranges, periods, horizontal and vertical translations, and vertical asymptotes (when they exist).

It is crucial to remember that these functions are valid only for right-angle triangles. Any help on homework offered by an online tutoring service should focus on the following information concerning trigonometric functions:

The sine of an angle or sin(x) is the length of the side opposite the angle divided by the length of the hypotenuse (or sin(x) = opp./hyp.).

The cosine of an angle or cos(x) is the length of the side adjacent to the angle divided by the length of the hypotenuse (or cos(x) = adj./hyp.).

The tangent of an angle or tan(x) is the length of the side opposite the angle divided by the length of the side adjacent to the angle (or tan(x) = opp./adj.). tan(x) can also be expressed as tan(x) = sin(x)/cos(x).

The cosecant of an angle or csc(x) is the inverse of sin(x). For that reason, it can be represented as the inverse of the sin(x) function as shown above, or csc(x) = hyp./opp.

The secant of an angle or sec(x) is the inverse of cos(x). For that reason, it can be expressed as the inverse of the cos(x) function as shown above, or sec(x) = hyp./adj.

The cotangent of an angle or cot(x) is the inverse of the tan(x) function shown above and can be expressed as cot(x) = adj./opp. Alternatively, it can be represented as cot(x) = cos(x)/sin(x).

Once these functions are defined, the student may need help on homework in solving for the measures of angles or sides of right-angle triangles. It is interesting to note that the graphs of these functions are periodic in nature, meaning that they repeat themselves. Further tutoring can help in understanding that the graphs of y = sin(x) and y = cos(x) are the only ones without vertical asymptotes. Conversely, the graphs of y = tan(x), y = csc(x), y = sec(x), and cot(x) all include vertical asymptotes repeated at regular intervals. One cycle of any of these graphs is referred to as a period. Online tutoring should help clarify that the period is the distance on the x-axis needed for the function to start repeating itself again.

The following information concerning the nature of the six trigonometric functions is often least understood by the student seeking tutoring and should be memorized by him or her in order to facilitate progress. The periods for y = sin(x), y = cos(x), y = csc(x), and y = sec(x) are all 2 pi; the periods for y = tan(x) are y = cot(x) are both pi. Online tutoring can also help the student to distinguish between the graphs of sin(x) and cos(x). The graph of y = sin(x) passes through the origin (0, 0) as an increasing function whereas the graph of y = cos(x) has a maximum at the point (0, 1). Tutoring is essential in helping the student understand the difference between these two graphs especially when more complex functions are covered in class. The graphs of y = tan(x) and y = sec(x) both have repeating vertical asymptotes at (pi/2) + n(pi), where n represents an integer. On the other hand, the graphs of y = csc(x) and y = cot(x) both have repeating vertical asymptotes at intervals of n(pi), where n is an integer.

In all, tutoring and more specifically online tutoring, is an amazing tool that any student can use to learn more about trigonometric functions and their characteristics.

For over ten years, we have provided Private Tutoring Services enrolled in home schools and traditional schools and helped them achieve their academic goals as well as outstanding grades in mathematics, English, science, literature, and language courses.If You need Home Tutoring Services Please visit our website: http://theteachingtutors.com/.

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