Mathematics

For sophomore/junior-level courses in Geometry; especially appropriate for students that will go on to teach high-school mathematics.

This text comfortably serves as a bridge between lower-level mathematics courses (calculus and linear algebra) and upper-level courses (real analysis and abstract algebra). It fully implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers. Foundations of Geometry particularly teaches good proof-writing skills, emphasizes the historical development of geometry, and addresses certain issues concerning the place of geometry in human culture.

Implementation of “The Mathematical Education of Teachers (MET)”—Achieves the goals of MET within the context of a traditional axiomatic approach to geometry.

• Prepares students to teach high school geometry by making connections that enable a deeper understanding of the subject.

Comprehensive coverage of most of Euclid's Elements—Covers almost all of the material in the first six books of that work.

• Gives students a wide range of geometric topics.

Careful statements of the axioms.

• Aids students' understanding of how the theorems of geometry are built on the axioms.

Coverage of transformations and the transformational approach to the foundations—Contains a complete classification of rigid motions of the plane and an explanation of how the Reflection Postulate can substitute for the Side-Angle-Side Postulate.

• Helps students understand the transformational perspective and how it can be incorporated into the axioms.

A complete construction of the traditional models for Hyperbolic Geometry.

• Gives students a model that helps them understand the relationships spelled out in the axioms.

A study of geometry in the real world—Looks at some non-traditional models and curved spaces.

• Helps students arrive at answers to the questions that naturally arise about the relationship between non-Euclidean geometry and the geometry of the real world.

An introduction to proof—Acts as a bridge between lower-level courses in which technique is emphasized to upper-level courses in which proof and the understanding of concepts are emphasized.

• Enables students to experience the axiomatic method and study careful proofs that characterize more advanced mathematics.

Emphasis on how to write proofs—Provides many model proofs as well as commentary on key proofs.

• Provides students with an excellent introductory chapter on how to write proofs, and provides more advanced techniques as they progress through the course.

• Includes many proofs that are exercises, with hints given so that students know roughly how the proof should be structured.

• Enables students to concentrate on how to organize and communicate the proof.

Careful attention to the historical development of geometry—Discusses certain cultural and philosophical issues; and demonstrates the changes that the foundations have gone through over time.

• Helps students see that mathematics is a human activity.

Use of technology—Encourages the use of such tools as Geometer's Sketchpad.

• Provides an aid for visualizing geometric relationships and a way to explore possible relationships.  

Comprehensive appendices—Includes Euclid's Book I, Other Systems of Axioms for Geometry; Postulates; the Van Hiele Model of the Development of Geometric Thought, and Hints for Selected Exercises.

• Enables students to continue to use this book in their future careers as a convenient desk reference.

(NOTE: Each chapter concludes with Exercises.)

 1. Euclid's Elements.


 2. Axiomatic Systems.


 3. Theorems, Proofs, and Logic.


 4. Set Theory and Real Numbers.


 5. The Axioms of Plane Geometry.


 6. Neutral Geometry.


 7. Euclidean Geometry.


 8. Hyperbolic Geometry.


 9. Area.


10. Circles.


11. Constructions.


12. Transformations.


13. Models.


14. The Geometry of the Real World.


Appendix A: Euclid's Book I.

Instructors Solutions Manual - IRC Download
Venema
©2007 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0131579193 | ISBN-13: 9780131579194
  View Downloadable Files

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
Buy from myPearsonStore

Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
Buy from myPearsonStore

Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
Buy from myPearsonStore

Concept Videos: Algebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
Buy from myPearsonStore

Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
Buy from myPearsonStore

Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
Buy from myPearsonStore

Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
Buy from myPearsonStore

Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
Buy from myPearsonStore

Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

Math for Allied Health Study/Reference Card
Forshier
©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
Buy from myPearsonStore

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
Buy from myPearsonStore

Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
Buy from myPearsonStore

Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
Buy from myPearsonStore

Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
Buy from myPearsonStore

Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
Buy from myPearsonStore

Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.

Package ISBN-10: 0321633032 | ISBN-13: 9780321633033
©2005 | Instock (Additional assembly time required) | Suggested retail price: $100.00 | Buy from myPearsonStore
This package contains: