A webquest guides students to search the Internet for specific information. For example, students are asked to serve as curators of a museum on a particular topic. They must search the Internet to determine what artifacts belong in their museum and explain their choices.
There are tons of already-constructed webquests out there, a perfect way to teachers to begin integrating Internet searches into their curriculum. Here’s a good introduction to the process. Once you get really comfortable with the process, you may even want to create your own!