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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
Mathematics for Secondary School Teachers
Publication Date
2011-08-11
Pages
417
ISBN
9780883857731
Subject Area
Education
Publication Name
Mathematics for Secondary School Teachers
Publisher
American Mathematical Society
Item Length
9 in
Subject
Teaching Methods & Materials / Mathematics
Publication Year
2011
Series
Maa Textbooks Ser.
Type
Textbook
Format
Hardcover
Language
English
Author
Ralph J. Bremigan, John D. Lorch, Elizabeth George Bremigan
Item Width
6 in
Number of Pages
417 Pages

About this product

Product Identifiers

Publisher
American Mathematical Society
ISBN-10
0883857731
ISBN-13
9780883857731
eBay Product ID (ePID)
109059166

Product Key Features

Number of Pages
417 Pages
Publication Name
Mathematics for Secondary School Teachers
Language
English
Subject
Teaching Methods & Materials / Mathematics
Publication Year
2011
Type
Textbook
Author
Ralph J. Bremigan, John D. Lorch, Elizabeth George Bremigan
Subject Area
Education
Series
Maa Textbooks Ser.
Format
Hardcover

Dimensions

Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2010-938021
Dewey Edition
23
Reviews
As the authors state early on, this book is intended in part as a response to the 2001 report from the Conference Board of the Mathematical Sciences on the mathematical education of future teachers. There is a very definite need for books like this one. While courses and textbooks on mathematics for elementary teachers are common across America, few schools offer a course for which this book would be a good fit, and that's probably regrettable. There is a good argument to be made for offering prospective secondary teachers the same kind of course-in which they consider the math they expect to teach from an advanced perspective and with some attention to how to teach it-that we routinely require of prospective elementary teachers. ... the suggestion of the CBMS report that "Prospective mathematics teachers need mathematics courses that develop a deep understanding of the mathematics they will teach" will be well-realized by a course based on this textbook." - Mark Bollman, MAA Reviews, As the authors state early on, this book is intended in part as a response to the 2001 report from the Conference Board of the Mathematical Sciences on the mathematical education of future teachers. There is a very definite need for books like this one. While courses and textbooks on mathematics for elementary teachers are common across America, few schools offer a course for which this book would be a good fit, and that's probably regrettable. There is a good argument to be made for offering prospective secondary teachers the same kind of course--in which they consider the math they expect to teach from an advanced perspective and with some attention to how to teach it-that we routinely require of prospective elementary teachers. I have taught such a course, as an independent study, to about ten students over the years. I have used two likely competitors of this book, and the three all take slightly different approaches to the challenge. Mathematics Methods and Modeling for Today's Mathematics Classroom, by Dossey et al., is a COMAP project with a focus, as the title suggests, on mathematical modeling using middle and high school math. By contrast, Mathematics for High School Teachers: An Advanced Perspective, by Usiskin et al., follows a path similar to what we see in textbooks for the standard mathematics for elementary teachers course: an examination of topics that the students will someday teach, in somewhat more depth than in a high school textbook. Mathematics for Secondary School Teachers is more traditional in its content than the first of these predecessors and more ambitious than the second. The topics are drawn from high school mathematics, but there's a depth of content that outstrips the Usiskin text. The authors note (p. 143), in introducing a chapter on hyperbolic trigonometry, that ""Most of us first encounter the hyperbolic trigonometric functions in a calculus course""-which is surely accurate. They then go on to take students through a development of those functions starting with hyperbolas, and that is an excellent coverage of precalculus topics at an appropriately challenging level. There is additional thoughtful and deep content in the chapters on the algebraic properties of number systems, which may well give a prospective teacher coming out of an abstract algebra course some important insight into how that material might connect to his or her future career. Due to these and other examples, the suggestion of the CBMS report that ""Prospective mathematics teachers need mathematics courses that develop a deep understanding of the mathematics they will teach"" will be well-realized by a course based on this textbook."" - Mark Bollman, MAA Reviews
Series Volume Number
21
Illustrated
Yes
Dewey Decimal
510.71
Table Of Content
Preface To the Student To the Instructor 1. Functions 2. Lines in the Plane 3. Quadratic Polynomials 4. Trigonometry 5. Hyperbolic Trigonometry 6. Numbers 7. Operations in Number Systems 8. Topics in Number Systems 9. Exponentiation 10. Exponential and Logarithmic Functions: History, Computation, and Application 11. Transcendental Functions and Complex Numbers 12. Beyond Quadratics: Higher Degree Polynomials 13. Measurement Appendix A: Log Tables Index About the Authors
Synopsis
Discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. This volume is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers., Mathematics for Secondary School Teachers discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. Acknowledging diversity in the mathematical backgrounds of pre-service teachers and in the goals of teacher preparation programs, the authors have written a flexible text, through which instructors can emphasize any of the following: Basics: exploration of key pre-college topics from intuitive and rigorous points of view; Connections: exploration of relationships among topics, using tools from college-level mathematics; Extensions: exploration of college-level mathematical topics that have a compelling relationship to pre-college mathematics. Mathematics for Secondary School Teachers provides a balance of discovery learning and direct instruction. Activities and exercises address the range of learning objectives appropriate for future teachers. Beyond the obvious goals of conceptual understanding and computational fluency, readers are invited to devise mathematical explanations and arguments, create examples and visual representations, remediate typical student errors and misconceptions, and analyze student work. Introductory discussion questions encourage prospective teachers to take stock of their knowledge of pre-college topics. A rich collection of exercises of widely varying degrees of difficulty is integrated with the text. Activities and exercises are easily adapted to the settings of individual assignments, group projects, and classroom discussions. Mathematics for Secondary School Teachers is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers. It can also be used in alternative licensure programs, as a supplement to a mathematics methods course, as the text for a graduate course for in-service teachers, and as a resource and reference for in-service faculty development.
LC Classification Number
QA39.3.B75 2011

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