A PROBLEM GENERATOR SYSTEM TO LEARN FIRST-DEGREE EQUATIONS

Abstract

Problem-based learningenhances academic productivity, and improves long-term memory. Thus it isbetter than traditional instruction. Meanwhile, the teaching of mathematicseducation is more important than others. Much software is developed for visuallearning mathematics, but there is a great need for problem-based systems. Thisis more visible, due to the increasing proliferation of e-learning education.On the other hand, first degree equations are a uniquely important topic inhigh school and collage algebra classes, for the simple reason that mastery ofa preponderance of later topics requires a student’s ability to solve theseequations. Such topics include absolute value equation, equation containingfractions, radicals, and an abundance of applications. Proficiency at solvingfirst degree equations in one variable is literally essential to success in analgebra class. Students often do not clearly understand the concepts of thesetopics and make mistakes when they write homework’s or use these concepts inthe other topics. In order to help the students to learn these concepts bysolving problems, we have proposed a system that generate problems and evaluatelearner’s answers.  In this paper wepropose a methodological approach for automatic solving of mathematical equations,especially in terms of the first degree equations in one variable, with the aimof the practicing of mathematics subjects, by using of Computer Algebra System(CAS) tools. The paper also addresses some specific fields such as thesimplification and automatic production of mathematical equations.