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Geometry Connections John K. Beem

Geometry Connections By John K. Beem

Geometry Connections by John K. Beem


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Summary

With challenging standards-based middle school mathematics curricula in place, teachers need college-level mathematics courses that prepare them for their careers. This text presents a rigorous review of college-level geometry, designed to equip middle grade mathematics teachers with the skills needed for teaching standards-based curricula.

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Geometry Connections Summary

Geometry Connections by John K. Beem

For one-semester undergraduate courses in geometry for the middle school teachers.

With exciting new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics courses that better prepare them for their professional careers. Throughout the text, students will find problems and activities that demonstrate the presentation and use of geometry in the middle school by using activities currently found in middle schools textbooks. These problems and activities serve to connect many of the concepts covered in this book to future teaching experiences that the students will encounter as they embark on their teaching careers. Additionally, this will motivate future teachers to learn more mathematical content. The student will realize what they are learning is closely related to what they will be teaching. This will help to build the student's skills so when they are in the classroom, they will have the confidence to teach these concepts.

This text presents an insightful review of geometry so that future middle grade mathematics teachers are equipped with the skills needed for teaching NCTM (National Council of Teachers of Mathematics) Standards-based curricula. Included in this text are a variety of classroom connections and classroom discussions designed to deepen the connections between the geometry students are studying now and the geometry they will teach later. The classroom connections consist of activities which teachers might use in the middle school classroom. In contrast, the classroom discussions are explorations that are somewhat more central to the purpose of the book to build the student's understanding of the concepts that they may pass along this knowledge when they teach.

Other titles in the Prentice Hall Connections in Mathematics Courses for Teachers include:

  • Geometry Connections: Mathematics for Middle School Teachers
  • Algebra Connections: Mathematics for Middle School Teachers
  • Data and Probability Connections: Mathematics for Middle School Teachers
  • Calculus Connections: Mathematics for Middle School Teachers

Table of Contents

CONTENTS

Note: All chapters end with a Chapter Review.

Preface

List of Numbered Figures

List of Classroom Connections

List of Classroom Discussions

Chapter 1: Euclid's Geometry

Euclid's postulates and common notions

Using logic

Notation and measurement

Polygons and solids

Measuring the earth's radius

Chapter 2: Congruent Figures, Areas and Volumes

Congruent triangles

Parallel lines

Quadrilaterals

Areas of figures

Circles

Volumes and surface areas

Chapter 3: Similarity

Similar Polygons

Applications of similar triangles

Pythagorean Theorem

Area and perimeter of similar figures

Similarity for more general figures

Chapter 4. Rigid Motions and Symmetry

Reflections over lines and orientation

Translations, rotations, and glide-reflections

Symmetries

Isometries in space

Chapter 5. Vectors and Transformations

Vectors as oriented line segments

Representing vectors with coordinates

Matrices

Transformations using matrices

Isometries and orthogonal matrices

Isometries and complex numbers

Chapter 6. Three Other Geometries

Taxicab Geometry

Spherical Geometry

Hyperbolic Geometry

Appendix I Geometer's Sketchpad

Appendix II Euclid's Assumptions

Appendix III Selected Geometry Formulas

Glossary

Answers and hints for odd exercises

Index

Additional information

CIN0131449265G
9780131449268
0131449265
Geometry Connections by John K. Beem
Used - Good
Paperback
Pearson Education (US)
2005-10-05
320
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us

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