Designed to prepare prospective high school mathematics instructors to teach Euclidean geometry, this text augments Euclid's elegant but sparse statements with appropriate historical commentary and many exercises. It also introduces the non-Euclidean geometries, allowing students to gain perspective and enhance their appreciation of axiomatic systems.

• An axiomatic development of plane geometry.

  • Allows students to see geometry developed from a minimal set of postulates.

• Development based on Euclid's Elements —An historical approach to the teaching of mathematics.

  • Enables instructors to make use of Euclid's own development of plane geometry.

• Early introduction to alternative geometries.

  • Allows instructors to justify the need to prove “obvious” propositions.

• The Geometer's Sketchpad—In Appendix A with interleaved exercises.

  • Gives students the opportunity to explore geometry on their own.

• Extensive pedagogy—Over 1,000 exercises, many combined with the propositions.

  • Enables students to focus on the logical developments of their proofs, and gives them hands-on experience.

• Chapter review proofs.

  • Permits instructors to assign exercises that challenge their students.

• A discussion of symmetry—Both theoretical and experiential.

  • Provides students with the material necessary to compare and contrast this idea.

• Modern advances in mathematics—Describes discoveries as recent as 15 years ago.

  • Enables students to see that mathematical research is an ongoing process.

• Computational aspects of geometry—Above and beyond analytical geometry.

  • Allows students to apply their algebraic skills to solve geometric problems.

• Visualization in 3-space.

  • Forces students to see geometrical solids and their rotation.

• Summary of propositions—In Appendix B.

  • Gives students a better perspective on the subject matter.

• Solutions and hints to selected exercises.

  • Helps students to solve the other problems presented in the text.

 1. Other Geometries: A Computational Introduction.


 2. The Neutral Geometry of the Triangle.


 3. Nonneutral Euclidean Geometry.


 4. Circles and Regular Polygons.


 5. Toward Projective Geometry.


 6. Planar Symmetries.


 7. Inversions.


 8. Symmetry in Space.


 9. Informal Topology.


10. Graphs.


11. Surfaces.


12. Knots and Links.


Appendix A: A Brief Introduction to The Geometer's Sketchpad.


Appendix B: Summary of Propositions.


Appendix C: George D. Birkhoff's Axiomatization of Euclidean Geometry.


Appendix D: The University of Chicago School Mathematics Project's Geometrical Axioms.


Appendix E: David Hilbert's Axiomatization of Euclidean Geometry.


Appendix F: Permutations.


Appendix G: Modular Arithmetic.


Solutions and Hints to Selected Problems.


Bibliography.

Geometry-Junior Level  (Mathematics)

For the Mathematics Discipline

Allied Health Study Card, 2/E
Forshier
©2006   |   Pearson   |   Study Card   |   Instock
ISBN-10: 0321394747   |   ISBN-13: 9780321394743
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

Basic Math Review Card, 2/E
Addison-Wesley
©2006   |   Pearson   |   Study Card; 6 pp   |   Instock
ISBN-10: 0321394763   |   ISBN-13: 9780321394767
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

Center for Excellence Sticker
Addison Wesley Higher Education Group
©2000   |   Pearson   |   Unknown / Other   |   Instock
ISBN-10: 0201716275   |   ISBN-13: 9780201716276
Suggested retail price: $0.00Net price: $0.00  (What's this?)

Concept Videos: Algebra
Addison-Wesley
©2008   |   Pearson   |   Multiple Media Package   |   Instock
ISBN-10: 0321517199   |   ISBN-13: 9780321517197
Suggested retail price: $36.67Net price: $27.50  (What's this?)

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008   |   Pearson   |   Multiple Media Package   |   Instock
ISBN-10: 032151758X   |   ISBN-13: 9780321517586
Suggested retail price: $36.67Net price: $27.50  (What's this?)

Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997   |   Pearson   |   Paper; 195 pp   |   Instock
ISBN-10: 0136492037   |   ISBN-13: 9780136492030
Suggested retail price: $47.80  Buy from myPearsonStoreNet price: $35.85  (What's this?)

Graphing Calculator Tutorial CD
Addison-Wesley
©2006   |   Pearson   |   CD-ROM Only   |   Instock
ISBN-10: 0321357744   |   ISBN-13: 9780321357748
Suggested retail price: $13.33  Buy from myPearsonStoreNet price: $10.00  (What's this?)

Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000   |   Pearson   |   Paper   |   Instock
ISBN-10: 0321069188   |   ISBN-13: 9780321069184
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Prealgebra Review Workbook
Wheel
©2006   |   Pearson   |   Paper; 300 pp   |   Instock
ISBN-10: 0321473329   |   ISBN-13: 9780321473325
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Review of Algebra, A
Howard
©2002   |   Pearson   |   Paper; 224 pp   |   Instock
ISBN-10: 0201773473   |   ISBN-13: 9780201773477
Suggested retail price: $36.67  Buy from myPearsonStoreNet price: $27.50  (What's this?)

Spanish Basic Math Study Card
Leonarte
©2007   |   Pearson   |   Study Card   |   Instock
ISBN-10: 0321438582   |   ISBN-13: 9780321438584
Suggested retail price: $4.00  Buy from myPearsonStoreNet price: $3.00  (What's this?)

TestGen All-in-One 2005 Package
Addison-Wesley
©2005   |   Pearson   |   CD-ROM Only   |   Instock
ISBN-10: 0321334469   |   ISBN-13: 9780321334466
Suggested retail price: $0.00Net price: $0.00  (What's this?)

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 contact your Pearson Higher Education representative.