Computer algebra systems are frequently used for research. In addition, some instructors have based entire advanced courses around these systems. One benefit is that they allow students to become familiar with the methods of calculus by individual experimentation. However, instructors have generally seen computer algebra systems as unsuitable for introductory algebra since the software is capable of doing all the math for the students. That barrier could be overcome if a suitable user interface were developed. Furthermore, embracing computer algebra could make for a completely different type of introductory course that shifts the focus from calculation to problem-solving. Computer algebra systems could also make life easier for math instructors as problem generators for tests and as automatic on-line graders, even of non-multiple choice problems. Computer algebra systems offer many new opportunities for math education.