Designing Next-Generation Training and Testing Environment for Expression Manipulation

Abstract

Abstract. T-algebra is a project for creating an interactive learning environment for basic school algebra. Our main didactical principle has been that all the necessary decisions and calculations at each solution step should be made by the student, and the program should be able to understand the mistakes. This paper describes the design of our Action-Object-Input dialogue and different input modes as an instrument to communicate three natural attributes of the step: choice of conversion rule, operands and result.

SODES: Solving ordinary differential equations step by step

“…[[Root, Multiplicity], [1,2]] Thus, a solutions fundamental system for the homogeneous equation is given by: [e x , xe x ] Thus, there exists a particular solution of the form:…”

“…In addition, using a CAS to develop SODES, we have been able to program the intermediate steps and add any text information on each step. This fact facilitates the use of SODES as a Pedagogical CAS (PeCAS [2]) since the solution can be obtained step by step and with information along all the process to reach the final result.…”