Functions are all around us, disguised as actions on concrete objects. Composition of functions, too, is all around us, because these actions can be performed in succession, the output of one serving as the input for the next. In terms of Gray and Tall's (2001) "embodied objects" or Lakoff and Nunez's (2000) "mathematical idea…

This document promotes computer symbolic mathematics and computer algebra as ideal instructional materials for mathematics, science, and engineering students. Further, computer algebra is viewed as appropriate for all students throughout the mathematics curriculum, by serving a vast area of mutual reinforcement and cross-motivation between…