According to Nolo's online dictionary, Shepardizing refers to
"a method of locating the subsequent history of a case using a book or computerized version of Shepard's Citations. This process can locate a list of decisions which either follow, distinguish, or overrule any case."
By looking at the history of how a case has been used or cited, you may determine more readily if your case will likely be decided similarly or might make a good precedent. As a paralegal student at Oakton, you have access to several resources to assist you in Shepardizing a case.
Source: Nolo. Nolo Law for All. 2011. Web. 13 July 2011.