Saxon Advanced Math offers proven results in these high homeschool lessons and teacher books.
Click here to see sample pages. The Saxon Advanced Math 2nd Edition Solutions Manual provides the step by step solutions to problems in the student textbook. It is strongly recommended because the solutions to Advanced Math problems usually involve many distinct and important steps. The Solutions Manual may be purchased separately here or as part of the complete set.
Specific topics covered in this Saxon Advanced Math homeschool curriculum include permutations and combinations, trigonometric identities, inverse trigonometric functions, conic sections, graphs of sinusoids, rectangular and polar representations of complex numbers, De Moivre's theorem, matrices and determinants, the binomial theorem, and the rational roots theorem. Additionally, a rigorous treatment of Euclidean geometry is presented.
Word problems are developed through the problem sets and become progressively more elaborate and difficult. By the end of the text, students will be able to solve competition-level problems with ease.
The graphing calculator is studied and used to graph functions and perform data analysis. Also, conceptually oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. 2nd Edition © 1996 (119 lessons).
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Saxon Math Teaching Philosophy:
Learning need not be difficult, but neither does it happen quickly. Time is the elixir that turns things new into things familiar. Therefore, the most effective way for students to learn is through gentle development of concepts and the practice of those concepts extended over a considerable period of time. John Saxon called these methods incremental development and continual review and he applied them to mathematics and the fundamental skills of reading.
At its simplest, incremental development is the introduction of topics in easily understandable pieces (increments), permitting the assimilation of one facet of a concept before the next facet is introduced. Both facets are then practiced together until another is introduced.
The incrementalization of topics is combined with continual review, wherein all previously learned material is reviewed in every lesson for the entire year. Topics are never dropped but are instead increased in complexity and practiced every day, providing the time required for concepts to become totally familiar.
As Saxon math concepts become familiar and the requisite skills become automated, learning becomes a game at which students can succeed and through which they find satisfaction and self-worth. More importantly, the automation of fundamental skills frees students' minds to consider the Saxon math concepts on a more abstract level.
Genuine learning is demonstrated not only through the understanding of a concept, but also through the ability to apply that concept to new situations. Saxon math students do both with ease and confidence.
John Saxon - Founder of Saxon Publishers |
