Critical issues of improving computer algebra systems

Abstract

In order to improve Computer Algebra System (CAS), there is a need not only for better built-in features to be implemented, but also for better conditions for creating and using user-defined functions to be provided. By using the TI-Nspire CAS tool and examples from high school mathematics, this paper examines the following critical issues of improving CAS: updatable lines with commands and functions, controllable execution of commands and functions, richer tool documentation, stronger links between different representations, richer opportunities for creating and using userdefined functions, and customizable user interface. These critical issues should be adequately addressed in a future version of the tool.