Maple and other CAS (Computer Algebra Systems) applied to Teaching and Assessing Mathematics

This paper describes the use of specific technological tools that assist students in the development of their mathematical skills. There has been a significant increase in the utilization of technology in the areas of science and mathematics. As students go to college and move into the workforce math skills and technological skills become important components in ensuring job security. Computer algebra systems (CAS) are programs designed for the symbolic manipulation of mathematical objects such as polynomials, integrals, and equations. Typical actions are simplification or expansion of expressions and solving of differential or algebraic equations. Most CAS permit the user to write programs for complex tasks and all features of high-level programming languages are available.The proper use of CAS has been associated with increases in the amount of information that students retain as it relates to mathematics. Computer Algebra Systems play an important role in mathematics particularly as it relates to students and their perceptions about learning Algebra through CAS. Student attitudes toward CAS technology seem to be reflected in the level of mastery associated with certain mathematical concepts and the proper teaching as it relates to the utilization of CAS. As it relates to the current study it was clear from the consideration of previous studies, Saunders (2003) and our work to date that there are a variety of responses to the Maple sessions and CAS as a whole. It is also apparent that different students can have quite different attitudes towards the same activity. As it relates specifically to the maple activities the results indicate however that most students found some benefit in the Maple activities with regard to their mathematical understanding and the visualisation capabilities seemed to once again be significantly useful. Students are generally positive about the motivational impact of the Maple sessions. Many students develop a reasonable level of competence with the basic commands and students are often able to present a correct Maple solution.