In the first part of the semester, you will write reviews of four mathematical articles. A review (sometimes called a critical review) of a scholarly article is a paper that summarizes, analyzes and evaluates the article. Despite what the word may suggest, a critical review is not (usually) a criticism of an article, but rather report in which you summarize an article, explain its purpose, express your reaction to it, and evaluate how well the article meets its goals. In the beginning, you may have three main questions: "How do I find an article?" and "How do I write a review of it?" and "How will it be graded?" This page is intended to answer those questions. 
Everyone will read the same article for the first review. It is Six Ways to Sum a Series, by Dan Kalman. It was published in the College Mathematics Journal in 1993, and won the 1994 George Pólya Award. For the remaining reviews, you will choose your own paper to read. Below are links to lists of articles that have been awarded prizes by the Mathematical Association of America (MAA). You may write a review of any article on these lists. (You may also report on an article not listed here, but if you wish to do this, please check with me first.) Browse these lists and look for titles that suggest the article may be of interest to you. Then download it. You may want to download several interesting articles in case your first choice does not work out. The library may have copies of the articles for which no electronic fulltext is available. 
This award is given to the author of an outstanding expository article on a mathematical topic by a member of the MAA. 

Established in 1964, this award recognizes authors of articles of expository excellence published in The American Mathematical Monthly or Mathematics Magazine. 

Established in 1976, this award is given to articles of expository excellence published in Mathematics Magazine. 

Established in 1976, this award is given to articles of expository excellence published in the College Mathematics Journal. 
You can download full text versions of many of these articles from the Mathematical Association of America's Digital Library. Here is a link to their Writing Awards page. If this page does not have a fulltext version of the article you are looking for, try searching for it on Jstor, a very large database of journal articles. 
Once you have selected an article that looks interesting, you should follow the following guidelines.  
1.  READ. Obviously, reading your article is the first step in writing a review. But it is not always quite so obvious how to read it. Here are some suggestions.


2.  ANALYZE. After reading, ask yourself the following types of questions.


3.  EVALUATE. Formulate your responses to the following types of questions.


4.  WRITE. Now you are ready to begin writing. There are no definite rules here, but your paper should meet all the requirements stated below.


5.  POLISH. Once you are done with the main task of writing, you need to put the finishing touches on your paper. Please consider the following points.

The following table indicates how your paper will be graded
