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Applications of Algebra and Geometry to the Work of Teaching
 
Bowen Kerins Education Development Center, Inc., Waltham, MA
Benjamin Sinwell Pendleton High School, Anderson, SC
Darryl Yong Harvey Mudd College, Claremont, CA
Al Cuoco Education Development Center, Inc., Waltham, MA
Glenn Stevens Boston University, Boston, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Applications of Algebra and Geometry to the Work of Teaching
Softcover ISBN:  978-1-4704-1924-0
Product Code:  SSTP/2
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
eBook ISBN:  978-1-4704-2640-8
Product Code:  SSTP/2.E
List Price: $35.00
MAA Member Price: $31.50
AMS Member Price: $28.00
Softcover ISBN:  978-1-4704-1924-0
eBook: ISBN:  978-1-4704-2640-8
Product Code:  SSTP/2.B
List Price: $80.00 $62.50
MAA Member Price: $72.00 $56.25
AMS Member Price: $64.00 $50.00
Applications of Algebra and Geometry to the Work of Teaching
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Applications of Algebra and Geometry to the Work of Teaching
Bowen Kerins Education Development Center, Inc., Waltham, MA
Benjamin Sinwell Pendleton High School, Anderson, SC
Darryl Yong Harvey Mudd College, Claremont, CA
Al Cuoco Education Development Center, Inc., Waltham, MA
Glenn Stevens Boston University, Boston, MA
A co-publication of the AMS and IAS/Park City Mathematics Institute
Softcover ISBN:  978-1-4704-1924-0
Product Code:  SSTP/2
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
eBook ISBN:  978-1-4704-2640-8
Product Code:  SSTP/2.E
List Price: $35.00
MAA Member Price: $31.50
AMS Member Price: $28.00
Softcover ISBN:  978-1-4704-1924-0
eBook ISBN:  978-1-4704-2640-8
Product Code:  SSTP/2.B
List Price: $80.00 $62.50
MAA Member Price: $72.00 $56.25
AMS Member Price: $64.00 $50.00
  • Book Details
     
     
    IAS/PCMI--The Teacher Program Series
    Volume: 22015; 187 pp
    MSC: Primary 00;

    Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.

    But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves.

    The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers—especially the arithmetic of Gaussian and Eisenstein integers—to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares.

    Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.

    Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

    Readership

    In-service secondary school teachers; students training to become secondary school teachers.

  • Table of Contents
     
     
    • Cover
    • Title page
    • Copyright page
    • Contents
    • Preface
    • Problem sets
    • Facilitator notes
    • Teaching notes
    • Mathematical overview
    • Solutions
    • Other titles in this series
    • Back Cover
  • Additional Material
     
     
  • Reviews
     
     
    • The book provides materials and problems that will engage the student in deep and rich discovery of mathematics. This is a book for both parties, teacher and students. Both groups can learn from reading the problems and solving them to develop a greater appreciation of mathematics and the art of solving problems. It is refreshing to see a book with a wealth of problems and also a discussion how they can be used for multiple learning levels. I see the book being used in many areas of instruction, such as projects, competitions, and for practice. I highly recommend this book if you want more interaction with your students and to develop their logical thinking skills.

      Peter Olszewski, MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 22015; 187 pp
MSC: Primary 00;

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute.

But this book isn't a “course” in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves.

The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers—especially the arithmetic of Gaussian and Eisenstein integers—to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares.

Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series “IAS/PCMI—The Teacher Program Series” published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest.

Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute.

Readership

In-service secondary school teachers; students training to become secondary school teachers.

  • Cover
  • Title page
  • Copyright page
  • Contents
  • Preface
  • Problem sets
  • Facilitator notes
  • Teaching notes
  • Mathematical overview
  • Solutions
  • Other titles in this series
  • Back Cover
  • The book provides materials and problems that will engage the student in deep and rich discovery of mathematics. This is a book for both parties, teacher and students. Both groups can learn from reading the problems and solving them to develop a greater appreciation of mathematics and the art of solving problems. It is refreshing to see a book with a wealth of problems and also a discussion how they can be used for multiple learning levels. I see the book being used in many areas of instruction, such as projects, competitions, and for practice. I highly recommend this book if you want more interaction with your students and to develop their logical thinking skills.

    Peter Olszewski, MAA Reviews
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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