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 will benefit both in knowledge and in the acquisition of the kind of mathematical thinking so valuable in other fields of endeavor. 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 constraints but the requirement of appropriate rigor.
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Brahima Mbodje is an educator, mathematician, control system engineer, and researcher. He has taught mathematics, computer science, electronics, and control theory for many schools. Among these institutions are: Universite Paul Sabatier, Saint Mary's University, Fordham University, Chowan University, The University of South Dakota, Rust College, Lenoir-Rhyne University, Gambia Technical Training Institute, Sukuta Secondary Technical School and Holly Springs High School. He holds an Associate degree in Mathematics, Computer Science and Physics; a Bachelor degree in Electrical Engineering; and a Ph.D. in Mathematical Control Theory from Universite Paul Sabatier in Toulouse, France. He now lives in Charlotte NC. His passion, as an educator, is to help high school pupils and college undergraduates demystify the so-called advanced or higher mathematics, by rendering this more accessible to them. He can be reached by e-mail at: mbodjeb@gmail.com.
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