Wu offers this text for teachers on how to effectively teach algebra, viewing it as a direct continuation of arithmetic. The book proffers precise definitions and proofs for teachers to master, while also offering informal discussions of the approach and perspectives on what students often have trouble grasping. The book takes the approach that precise definitions are key to developing real mathematical understanding and intuition, and that rather than teaching variables students should learn proper use of symbols. To this end, the first two chapters cover symbolic expressions and translation of verbal information into symbols. Further topics covered include linear equations in one variable, in two variables, and their associated graphs; simultaneous linear equations; functions and their graphs; linear functions and alternatives to proportional reasoning; linear inequalities and their graphs; exponents; and quadratic functions and their graphs. The final chapter on quadratics focuses on completing the square as a unifying skill. Throughout the book the authors point out common pedagogies that they argue need revision: these include more precise definitions of slope, proofs of why certain equations produce certain graphs, and better ways of accomplishing the the applications of proportional reasoning. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
