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Mathematics for Secondary School Teachers
 
Mathematics for Secondary School Teachers
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-773-1
Product Code:  TEXT/21
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-0-88385-980-3
Product Code:  TEXT/21.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-0-88385-773-1
eBook: ISBN:  978-0-88385-980-3
Product Code:  TEXT/21.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
Mathematics for Secondary School Teachers
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Mathematics for Secondary School Teachers
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-773-1
Product Code:  TEXT/21
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-0-88385-980-3
Product Code:  TEXT/21.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-0-88385-773-1
eBook ISBN:  978-0-88385-980-3
Product Code:  TEXT/21.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
  • Book Details
     
     
    AMS/MAA Textbooks
    Volume: 212011; 417 pp

    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.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Additional Material
     
     
  • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 212011; 417 pp

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.

  • Chapters
  • 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
  • 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
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.