A=B, EQUATIONS SOLVING, How to Master It Quickly, How to Teach It Effectively. For Middle and High School Students, Their Teachers, and College Undergraduates

Topics and ideas discussed include: algebraic expressions, equations and identities, the idea of an extraneous solution, factoring, quadratic equations, absolute values, equations involving absolute values, square-roots, equations involving square-roots, fractions, and equations involving fractions. We believe that a sound understanding of these topics is essential for all students in all scientific disciplines. Furthermore, we are certain that if the teaching of these topics is done in the correct way we have shown, with the correct doses of rigor rooted in sound common sense, then the learner shall benefit not only in knowledge but also in acquiring the kind of mathematical thinking so valuable in life and in other fields of endeavors. For, mathematics is not a mere body of knowledge. Rightly viewed, it is also a way of thinking that encourages creativity, and is free of all forms of constraint but the requirement of appropriate rigor.