To Use Or Not to Use?

My professor says I can't use Web sources for my paper.

Ask your professor to clarify this, because there are basically 'two Webs.' There is the public Web that search engines find, and there are resources that the Clarke library buys that are made accessible over the Web for only Clarke students to use. 

An article you find using an online article index such as Historical Abstracts also exists in a journal in print. It's just delivered via the Web by the library to facilitate research.

Go with the strengths of the public Web
• to obtain information on colleges, museums, non-profit organizations, or companies
• for very current information such as news, sports scores, weather, stock quotes
• to research a well-known event or individual
• to use online job postings, shopping, auctions, or travel services
• for opinions on a topic

Stop and think! Use web-delivered resources bought to you by libraries
• to find articles in scholarly journals
• to find articles published in popular magazines
• to search databases that index articles in many academic disciplines
• to find books on your topic
• to locate the full text of articles or books that are copyrighted