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CCH’s Online Catalog: Rhetoric Stage Math: Grades 10-12

This page last revised:
June 2001

Copyright 1997-2001




Rhetoric Stage Math:
Grades 10-12



Using the Online Catalog


Option 1: Advanced Mathematics - Paul A. Foerster texts
For 10th-12th grades and up, or after completion of a complete course in Alegbra and Geometry as described in Dialectic Stage Math. Advanced mathematics is not for everyone, but is a good choice for those students planning on studying math or sciences in college.

Option 2: Advanced Mathematics - Saxon texts
For 10th-12th grades and up, or after completion of a complete course in Alegbra and Geometry as described in Dialectic Stage Math. Advanced mathematics is not for everyone, but is a good choice for those students planning on studying math or sciences in college.

Option 3: Applied Mathematics
For 10th-12th grades and up, or after completion of a complete course in Alegbra and Geometry as described in Dialectic Stage Math. Applied mathematics includes mathematics used in the real world, or the mathematics of music, art, or other fields.


Advanced Mathematics: Paul A. Foerster texts

Paul A. Foerster is a high school mathematics instructor with over 30 years experience teaching advanced mathematics and calculus. His texts are written in an easily readable and almost entertaining style, and because they are so well-written, can be used by motivated rhetoric stage students in self-study of the course material. The exercises include many problems with applications to the real world, which continues an important aspect of what is appealing in Harold Jacobs’ dialectic stage texts in Algebra and Geometry. Foerster’s texts integrate use of a graphing calculator (TI-83) in many of its exercises.

Algebra and TrigonometryAlgebra and Trigonometry
Paul A. Foerster

For 10th-12th grades and up, or after the completion of Algebra I and Geometry in the dialectic stage. This text covers elementary functions as required for the calculus prerequisite. The chapters cover Functions and Relations, Linear Functions, Systems of Linear Inequations and Inequalities, Quadratic Functions and Complex Numbers, Exponential and Logarithmic Functions, Rational Algebraic Funtions, Irrational Algebraic Functions, Quadratic Relations and Systems, Higher Degree Functions and Complex Numbers, Sequences and Series, Probability, Data Analysis, and Functions of a Random Variable, Trigonometric and Circular Functions, Properties of Trigonometric and Circular Functions, and Triangle Problems.

The student text can be ordered directly from the publisher, Prentice Hall. The teacher’s helps must be ordered from Prentice Hall. Teacher’s helps include: (1) the Teacher’s Edition which contains the text of the student’s edition with exercise answers; (2) the Teaching Guide, which includes lesson plans and teaching strategies for each lesson in the text; (3) the Solutions Manual, which includes step by step solutions for each of the student exercises in the text; (4) Tests; (5) Graphing Calculator Lab Manual (for teaching the use of the graphing calculator used in the text); (6) Graphing Calculator Lab Teaching Guide (to help the teacher in teaching the use of the graphing calculator). The Solutions Manual is necessary for any homeschooling family; the graphing calculator materials are useful for those new to this technology, as the graphing calculator is used throughout the text; the other materials are not necessary to complete the course but may be helpful depending on the parents’ familiarity with elementary functions.

Prentice Hall welcomes orders from individuals, but to order teaching materials, a copy of a teaching certificate must be included, OR a typed letter written on (home)school letterhead stating the following: “I am an individual homeschool parent teaching Algebra and Trigonometry by Paul A. Foerster this year in our homeschool. I take responsibility to see that no instructor materials fall into the hands of students taking this course. Sincerely,” and so forth, making sure the letter is signed. A check, money order, or credit card information must accompany your order, and include the cost of the materials being ordered plus local and/or state taxes along with 8% shipping and handling.


Calculus Concepts and ApplicationsCalculus Concepts and Applications
Paul A. Foerster

High school math teacher and author Paul Foerster brings over 30 years of Advanced Placement calculus teaching experience to this brand-new text. Developed specifically with the high school student in mind, but with all the content of a college-level course, Calculus: Concepts and Applications starts right off with calculus--review of pre-calculus topics is done when it is needed, not all at once at the beginning of the course. Also, calculus is presented as a study of just four fundamental concepts--limits, derivatives, and two kinds of integrals. From day one students work on learning these concepts using a four-pronged approach: numerical, graphical, algebraical, and verbal. Formal definitions are expected to be mastered, but are not presented until students are already familiar with the concepts. Algebraic techniques are used to verify conjectures made on the basis of analysis of graphs and tables. The author makes use of the graphing calculator to explore concepts and applications that are difficult to derive algebraically. This makes realistic applications possible, such as fitting the logistic equation to actual census data. Drawing from diverse fields such as astronomy, anatomy, ecology, and engineering, the author provides a vast array of problems that reinforce skills, develop conceptual understanding, and introduce a world of interdisciplinary connections. Also included is material for cooperative learning, long-term projects, and journal writing. Known for his student-centered, readable style, which makes the text easy to use for students that are studying calculus independently, Foerster also brings his sense of humor to the text.

The teacher’s helps must be ordered from the publisher, Key Curriculum Press, who welcome orders from individuals, no documentation necessary, just a check, money order, or credit card information. Teacher’s helps include: (1) the complete Solutions Manual for every exercise in the student text; (2) the Instructor’s Guide, with detailed teaching notes for each section of the text, and lesson plans; (3) the Instructor’s Resource Book, which contains many classroom teaching aids as well as chapter tests and midterm and final exams. The Solutions Manual is necessary for any homeschooling family; the other materials are not necessary to complete the course but may be helpful depending on the parents’ familiarity with calculus.


Advanced Mathematics: Saxon texts

Advanced MathematicsAdvanced Mathematics
John Saxon

For 10th-12th grades and up, or any student that has completed a complete course in Algebra (I and II) and Geometry in the dialectic stage. This text contains quite a bit of material on geometry interspersed throughout the advanced mathematics, so that will be a repeat for students that have had geometry already in the dialectic stage. The teaching style of the text does not emphasize conceptual development or understanding of underlying mathematical principles, therefore, the Saxon texts are not CCH’s top choice for advanced mathematics instruction. However, some students have been extremely satisfied with mathematics instruction from Saxon texts, and this advanced mathematics course is for them. The Home Study Kit for Advanced Mathematics includes the student text, the answer key, and tests with answers. The Advanced Mathematics Solutions Manual for every exercise in the student text is also available.


CalculusCalculus
John Saxon and Frank Wang

For 10th-12th grades and up, or any student that has completed an Advanced Mathematics or Precalculus course. This text covers the material tested on in the AP Calculus exam for those students that do well with the Saxon series. The Home Study Kit for Calculus includes the student text, the answer key, and tests with answers. The Calculus Solutions Manual for every exercise in the student text is also available.


Applied Mathematics

The following Harold Jacobs student text can be ordered from Amazon.com. While some teacher’s helps can be ordered from Amazon, some can not. However, all the teacher’s helps are in fact in print as of July 1, 2001. Contact the publisher, W. H. Freeman and Company, to obtain teacher’s helps not available through Amazon.com. Be sure to have the ISBN numbers of the materials you would like to order in front of you when contacting the publisher.

Mathematics: A Human EndeavorMathematics: A Human Endeavor
Harold Jacobs

For 10th-12th grades and up. Mathematics: A Human Endeavor (ISBN 071672426X) cannot be classed as a pre-algebra text, nor does it fit well as an advanced mathematics course. It can be worked by those students with little experience in either Algebra or Geometry, and also delves into topics traditionally reserved for the higher maths, such as elementary functions. The author describes it as a text for those who think they don’t like mathematics. “Although a quick glance at the table of contents might suggest a rather sophisticated treatment, the topics chosen are presented in a way that requires minimal mathematical background and maturity.” A strength of this text is its relating mathematics to other subjects, such as music, and real life, so that it would make an excellent rhetoric stage text as well. The topics covered include the universal language of mathematics, mathematical ways of thinking (this has great lessons on both deductive and inductive logic as applied to mathematics), number sequences (arithmetic, geometric, binary, squared and cubed sequences as normally taught in advanced mathematics), functions and their graphs (as normally taught in Algebra, but with some interesting real-life applications), large numbers and logarithms, informal geometry, mathematical curves (as normally taught in second-year Algebra, trigonometry, and analysis), permutations and combinations, probability, statistics, and topology. Teaching helps include the Teacher’s Guide to Mathematics: A Human Endeavor (ISBN 0716724227) which contains lesson plans and answers to all the exercises in the student text; and a printed book of test masters (ISBN 071672569X).


Mathematics: From the Birth of NumbersMathematics: From the Birth of Numbers
Jan Gullberg and Peter Hilton

This is not a mathematics exercise textbook, but an elucidation of that branch of philosophical understanding known as mathematics. It covers virtually every mathematical concept--from basic addition to differential calculus--in an easy to read and understand style. More importantly, it also does so elegantly, providing the most beautiful and elegantly simple examples of mathematics problems to illustrate the concepts. Not only an explanation of mathematical concepts, but the author also delves into the history and development of the science of mathematics, which makes the topics so much more interesting. If you want your teenager to become hooked on mathematics, then this is the book for them. Browse through to see why mathematics is really the purest, most profound, most beautiful of all human endeavors. This book is also available in the Teacher’s Math Resources section.

Using the Online Catalog

This online catalog is made possible through an association with Amazon.com. Clicking on the book cover will take you to Amazon’s information page about that book. You can look at its price, availability, any discounts currently taken for that title, reviews of the book, and other information, as well as order it if you decide to purchase the book. You can even place books in your shopping cart and save them for purchase at a later time. You can continue to add or delete books from your shopping cart until you are satisfied with your order and ready to purchase. Clicking on your browser’s “Back” button will bring you back to this catalog.

Sometimes books go out of print, or the publisher runs out of stock. Any book not available from Amazon.com for any reason can be searched using AddAll.com, a book shopping site which will scan Amazon as well as Barnes and Noble, Powell’s Books, Book Close Outs and many other new and used book sites. Be sure to also check BookFinder.com for out of print book searches.

Still have questions? Ask me!

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