Technology Resources Center

For a brief overview of Modern Geometry, click here.

 

 

Greetings,

 

Welcome to the Modern Geometry Technology Resources Center.  Modern Geometry makes use of a variety of modeling technologies to promote concept development and engage students in meaningful mathematical tasks.  Each of the figures pictured below is a link to a report created by one or more of my students in recent years.  I recommend that you review the reports and think about the integration of mathematical concepts, procedures, applications, communications, and technologies seen there.  If you like what you see, then I invite you to take advantage of these technologies yourself.  When you do, I believe that you will find this approach to mathematics education exciting, empowering, and rewarding. 

 

Best wishes,

David A. Thomas

Department of Mathematical Sciences

Ball State University

About this Product

 

Modern Geometry provides a historically grounded, applications oriented, technology rich survey of Euclidean, hyperbolic, transformation, fractal, and projective geometry.  With only a few exceptions, the modeling tools and data sets described in the text are available on the Modern Geometry CD-ROM or via the WWW.  Using these Technology Resources, you may investigate Euclidean constructions like the nine-point-circle, explore hyperbolic space, create your own fractals, measure and model landscapes features using remote sensing data, and design realistic architectural structures.  Doing so will deepen your understanding of and appreciation for the concepts, procedures, and applications presented in the text. 

 

Note: No warranty is stated or implied relative to the performance of any of the Modern Geometry Technology Resources on any computer or computer network.  Any problems or expenses that arise as a consequence using the Modern Geometry Technology Resources are strictly the responsibility of the user.   

 

 

Sample Student Reports

 

Modern Geometry Technologies

 

Chapter 1

History of Geometry

 

 
Information Resources

1.      MacTutor History of Mathematics Archive

2.      Links to URLs Listed in the Text

3.      Models & Investigations Listed in the Text

4.      Supplementary Investigations

5.      Solutions to Selected Odd-numbered Exercises

 

 

 

 

 

 

 

Software and Data Files

Chapter 2

Euclidean Geometry

 

 

 

1.      3dem  Terrain Rendering Software

2.      Animate!  Linear Transformations

3.      dem3D files Terrain Rendering Tool

4.      DesignWorkshop Lite Architectural Rendering Software

5.      dlg32 Digital Line Graph Viewer    

6.      Fractal Coastline Modeling Tool

7.      GenesisII Landscape Visualization Software

8.      Geometers Sketchpad  Files

9.      Java Kali Symmetry Modeling Tool

10.  Microsoft Excel  Files

11.  MSW Logo Logo Programming Language

12.  Scion Image Image Processing Software

13.  The Chaos Game  Fractal Modeling Tool

14.  NonEuclid Hyperbolic Geometry Modeling Tool 

Chapter 3

Hyperbolic Geometry

 

 

Chapter 4

Transformation Geometry

 

Chapter 5

Fractal Geometry

 

 

Chapter 6

Projective Geometry

 

 

COPYRIGHT © 2002 by Brooks/Cole Publishing Company

A division of International Thompson Publishing, Inc.