In Fall 1999, the Math 341 class at GVSU compiled this list of more than 50 different geometry related sites which they found interesting or worthwhile. Hopefully you can find something interesting or worthwhile while you're here. (Some sites have multiple reviews, these are grouped together.)

Baseball and the Pythagorean Theorem.

This site uses the field of baseball to think about the pythagorean theorem. It uses pictures to show the layout of a baseball diamond and asks the question "How far does the catcher have to throw the ball from home plate to second base?" along with several other pertinant questions. This site would be great for introduction or clarification of the pythagorean theorem in the classroom. Reviewers: Eric Talsma and Brandon Kieft.

Basic overview of geometry "Geometry"

This site is easy to use and read. It displays an abundance of definitions and terms in geometry. It also includes frequently used formulas, sample problems and other resources to help understand geometry(). "Geometry" would be a reference site for students mostly. (Jessica Tomlin, Hillary Tichelaar)

Alex Bateman's Origami Page


http://www.sanger.ac.uk/Users/agb/Origami/origami.html
-This site is more of a fun site, but can lead into the discussion of tessellations.  In the directions of the origami figures, discussion of symetries, reflections, translations, and rotations, can also be included in discussion.  This activity can be used in either middle or high school classrooms.

Biometrics "Hand Geometry"

This is an indepth project using geometry, in which most people could follow. It is very interesting and useful for a geometry teacher. (Jessica Tomlin, Hillary Tichelaar)

Connected Geometry.

It appeals to teachers and Geometry students. It is a tutorial program with guided instruction going through six chapters of a textbook. -Anna Kempker & Kim Dean

 Cut-the-Knot

This website has puzzles for math and geometry.  This is a high school or college level site. (Christy Bartelt, Dennis Braspenninx)

http://ericir.syr.edu/Virtual/Lessons/Mathamatics/Geometry/GEO0001.html#Discovering Pi: Discovering Pi

This is a useful lesson plan to help students discover pi. This site is geared toward teachers of 5th through 7th grade geometry. -- Nicole Ames, Dan Tuell

Drawing Fun Fractions


http://math.rice.edu/~lanius/Patterns/draw.html
-This activity involves addition/subtraction problems using shapes that a student must munipulate to figure out another addition/subtraction problem.  A great hands-on munipulative activity for middle school students.
-reviewed by Matt Van Wieren and Joanna Hop

Eric's Packing Center.

The site we liked the best. This site contained different shapes packed into other shapes. It also gave some history on how these shapes and the way they were packed were founded. -Anna Kempker & Kim Dean

 Euclid Applet: gener

Using Euclid Applet to construct the alphabet and other geometries.
Utilizes arcs, circles, straight edges, and radii.  Includes a help page
and explicit intructions.  Recomended for first time introduction to
computer assisted geometry.
BY:   GREG PAVLOVIC       SHELLEY TAYLOR

Fibonacci Numbers Spelled Out (David Ladd and Jennifer Strong)

Shows connection between Fibonacci Sequence and the Golden Ratio. Would recommed it because the mathematics showing the relationship is solid.

 Fractals. It is a unit for elementary and middle school students explaining what fractals are. It also gives different pictures of real life fractals that appeal to younger aged students. Kim found it fascinating because it had the Jurassic Park fractal. And students can create fractals. -Anna Kempker & Kim Dean

Fractals: A Unit for Elementary and Middle School Students

A beginning site about the geometry involved in fractals useful in a classroom setting (obviously!).(Gill and Mojzak)

Fractals

This is an informative site about fractals. The author attempts to explain fractals in a simplified form more most people to understand. She also provides a number of different links to other interesting sites that explore fractals. This site is for most anybody interested in fractals. -- Nicole Ames, Dan Tuell

Fractals – An Introduction (David Ladd and Jennifer Strong)

Introduction to Fractals and construction of Fractals with JAVA. Would recommend for educators because it contained numerous links on fractals and also provided lesson plans.

The Fractory (David Ladd and Jennifer Strong)

Excellent page with Fractals. Would recommend this page to anybody interested in fractals. This is a very interactive site where you can constuct your own fractal.

 Gallery of Interactive Geometry. This site is an exploration site for geometry. It is mostly directed toward older students, but with a little bit of adult help, children could probably also use this site. It has indepth labs about building rainbows with prisms and learning to play Orbifold Pinball. This is a hands-on site that could be used by anyone who is interested in geometry. Reviewers: Eric Talsma and Brandon Kieft.

Gallery of Interactive Geometry

Hands on exploration of real life geometry useful in a classroom setting. (Gill and Mojzak)

 

Games

This site contains games and information. There are examples of other students or classes own web pages.

Jon Terpstra & Jon Rhodea

General Geometry

This site is very in depth.  It contains sample problems,
explanations of terms in a huge glossary, formulas, applications,
javascripts and explanations on how to create your own java scripts,
and the site is very easy to understand.  -- Dave Barney  and  Derek House

A Generalized Geometry for ISAR Imaging

The geometry involved in radar technology and holography in 2D and 3D. Recommended for adults interested in physics or technology. (Gill and Mojzak)

The Geometry Center

The Geometry Center. It's a cite for the computation and visualization of geometric structures. It has videos, software, and projects, cool graphics, and current problems.

Jon Terpstra & Jon Rhodea

 Geometry Center

This site provides us with a view into the Geometry Center's newest computer program, Geomview. Geomview is an interactive 3D program which allows you to view and manipulate geometric objects. This provides students with an hands-on look into geometry.

 Lisa Boss and Tara Strickler

 Geometry Classroom Materials

This site is designed for K-12 teachers searching for topics and lesson plans useful in introducing their students to the world of geometry. This site also provides different math questions and puzzles to pique student curiosity in geometry. Various materials and resources that are also helpful in teaching geometry are also given.

Lisa Boss and Tara Strickler

 

Geometry Facts:

Reference based site including terms, definitions, histories, diciplines, and instructions.  Recomended for general interest and research.
BY:   GREG PAVLOVIC       SHELLEY TAYLOR

 Geometry: Formula and Theorems

A very basic site, geared toward high school students.  Provides formulas and a variety of postulates, as well pictures of various geometric objects.  Lots of links.  A good site for introduction or basic review of geometric ideas. Extensive page on Pythagorean Theorem as well as a program for the Pythagorean theorem for TI-82 calculators.   -- Dave Barney  and  Derek House

Geometry in Action

This page is sort of a porthole to other websites.  The thing that distinguishes it is that the author has compiled links to websites that contain information on applications of geometry.  If you ever wanted to know how to use geometry, this is the place to go.  --  Dave Barney  and  Derek House

Geometry in Action

This site describes the use of geometry in the field of architecture. It gives examples of various computer programs used in architectural design, lists various ways that geometry is seen in architecture, and applies various geometric topics to the architectural world. This web page can be an interesting tool for students desiring to apply their geometric knowledge in "real world" jobs.

Lisa Boss and Tara Strickler

Geometry in Action

Real world application of geometry in many different fields such as biology, physics, information systems, and medicine. Recommended for anyone looking for geometry in the world around them. (Gill and Mojzak)

Geometry in Action

This site includes links to many other useful sites, including applications to other fields of education(besides math) and even non-education applications. It also includes tons of information on both discrete and Euclidean geometry. (Jessica Tomlin, Hillary Tichelaar)

Geometry In Motion

contained many different shapes that we could manipulate and use exploratory learning. It was very similar to Geometers Sketchpad projects. -Anna Kempker & Kim Dean

The Geometry Junkyard. This site gives a long list of links for students to use for research or fun. By selecting one of the links you are given another list of similar links that could also be helpful. This would be a great resource for any geometry student. Reviewers: Eric Talsma and Brandon Kieft.

Geometry Junkyard

This was a basic guide to many types of geometry. Could be used as a quick reference. There are lesson plans and activities that come with background info about the topic.

Jon Terpstra & Jon Rhodea

Geometry Junkyard

This site is useful because it introduces a variety of different geometry topics, the backgrounds of these topics and some real life examples. This site can be useful to both teachers and students because it provides teachers with some methods of instruction in geometry topics and it helps students interested in geometry to understand different geometry topics.

Lisa Boss and Tara Strickler

The Geometry Junkyard

This site has many links to interesting facts, research papers, experiments, proofs, etc; any type of interesting information that any age person may want to look for in geometry.

(Sara Crago and Carol Ditkof)

The Geometry Junkyard

This site is similar to site 1, but contains more "pure math" and less applications. It could be used as a reference, more for a teacher where site1 is more for students. (Jessica Tomlin, Hillary Tichelaar)

Geometry Made Easy

For those of us who are "illiterate" in geometry or those who are just beginning in geometry, this site will give the history, basics, formulas, and a glossary of the things you need to know in the field of geometry. (Sara Crago and Carol Ditkof)

 The Geometry of War. This site talks of the history of mathematicians during the renassaince period and how they used their skills in the fighting of battles. This is a great site to include history in the geometry classroom or vice versa. Reviewers: Eric Talsma and Brandon Kieft.

 Geometry Online. This site was designed by a professor from Rice University. It is mostly an informational site telling about the history of geometry and the shapes used in geometry. There are parts of the site that would be great for all levels, such as the School-Bus Geometry for younger students and the Isosceles Triangle Puzzler for older students. This site also has practice quizzes and experiments. It would be a great site for teachers of all levels. Reviewers: Brandon Kieft and Eric Talsma.

Geometry Online


http://math.rice.edu/~lanius/Geom/
-includes several great activities.  Two are inculded below:
    IMPOSSIBLE TRIANGLES-
        This site would be used with middle students to explore triangles and determine rules about them.
    HIDDEN POLYGONS - Students are given a triangle grid paper and must find different polygons including different types
        of triangles, octagon, hexagon, heptagon, rectangle, trapezoid, etc... This would be a great introduction to looking at
        various aspects of polygons.
-reviewed by Matt Van Wieren and Joanna Hop

Geometry Through Art

gives the younger geometer the best way to learn about geometry… and that is to design geometrically on paper. Even though proofs, theorems, postulates and definitions are intricate parts of geometry, the beginning geometer needs to see geometry before logic and theories enter in. The site is strewn with hands-on activities that range from coloring squares and coloring, cutting and folding activities to exploring circle patterns and visualizing congruence and concentricity patterns with colors. Further activities implore visualizing shapes and images of triangles along with exploring Pascal's Triangle. Finally, what good site would not have a section dedicated to new vocabulary that the student will encounter. It's all here in the "Geometry Through Art" web site. --Mike Holt

 Geometry Web

Main focus of the site is to make geometry fun.  Contains a very long history of geometry which describes numerous different geometries.  Site was put together by students at a high school in California.  ALso offers a chapter overview of the geometry book they used and a large list of links to other geometry sites.  Interest is for anyone interested in finding out more about geometry.  -- Dave Barney  and  Derek House

Global Access to Educational Sources

This is a wonderful research site for junior high school students who are in need of help with their geometry homework or research. (Sara Crago and Carol Ditkof)

George W. Hart (Polyhedra) (David Ladd and Jennifer Strong)

Explores the relationship between Polyhedra and art. Would recommed this page for educators because it had links and seemed to be straight forward.

Hart's Virtual Polyhedra

Gives a detailed explanation of polyhedra.  What they are and how
you can use them.  Has a lot of really cool applications on the
page.  You can even download a VRML plug-in that allows your
browser to display 3-D objects.  Geared toward teachers or students
willing to do some work.  --  Dave Barney  and  Derek House

Hidden polygons

This site provides a grid where the students can explore the different triangles, and other polygons. It also provides a link where the students can go to look up various definitions of polygons, and properties of polygons. This site is good for anyone who wants to explore shapes through puzzles. -- Nicole Ames, Dan Tuell

Highschool Geometry

Geometry activities and lessons from Milby High School's geometry class. (Christy Bartelt, Dennis Braspenninx)
 

Highschool Geometry

This site is an easy to use, middle to high school focused exploratory site. It has instructions for creating your own geometric activities.

Jon Terpstra & Jon Rhodea

History of Geometry:

Contains articles, bibliography, definitions, and examples.  Recomended for general intrest.
BY:   GREG PAVLOVIC       SHELLEY TAYLOR

Hyperbolic Geometry Using Cabri

A great site for advanced geometry students who are looking for a challenge in proving some of the mysteries of geometry. (Sara Crago and Carol Ditkof)

Interactive Geometry Software- Miscellaneous Sketches
http://forum.swarthmore.edu/sketchpad/misc1.html


-On the page, there are several Geometer's Sketchpad scripts that can be run which include: 2D Fractal Mountain Script, 3D Landscape Script, Random Walk.Script, Toothpicks Script.  This would be better used in a high school math class where students can later create their own scripts.
-reviewed by Matt Van Wieren and Joanna Hop

Introduction to Geometry (David Ladd and Jennifer Strong)

All inclusive introduction to Euclidean Geometry. Would recommend this page because it thoroughly covers Euclidean Geometry in a straight forward manner.

Logo Activities

4th/5th grade Logo activities in geometry.  Includes lesson plans and on-line tutorials. (Christy Bartelt, Dennis Braspenninx)

Make a Sun Compass


http://www.kyes-world.com/compass.htm
[found as a link through http://www.kyes-world.com/sun.htm (which contains more activities).  ]

This activity deals with finding
     Part 1 - Finding North and South
     Part 2 - Finding East and West from the Perpendicular:

This site would be geared for middle school teachers/students as an interdisciplinary project involving earth science and geometry.  This is an outdoor, hands-on activity, which is good for the kinestetic learner.
-reviewed by Matt Van Wieren and Joanna Hop

Middle School Geometry

This website has many definition, formulas, and theorems for middle school geometry. (Christy Bartelt, Dennis Braspenninx)

The Moebius Strip.

This web site is all about the moebius strip. It has some very interesting pictures and gives some history about the strip. It then told how the moebius strip is created. -Anna Kempker & Kim Dean

Native American Geometry

The geometry involved in the Native American culture using a circle with geometric patterns inside and applying it to patterns in other cultures. Recommended for those interested in cultural mathematics or integrating different cultures in a math classroom. (Gill and Mojzak)

Native American Geometry

This site contains lessons for students from 4th grade through 9th grade.  It explores the geometry of nature and art. (Christy Bartelt, Dennis Braspenninx)

www.earthmeasure.com "Native American Geometry"

This site explains the fundamentals of geometry. It provides the basis behind the subject. Students and teachers may find this site useful and educational. (Jessica Tomlin, Hillary Tichelaar)

 Ptolemy's Ptools, gives a pretty nice history of Ptolemy and uses triangles to solve and understand given projects. These projects are of the everyday flavor and using cyberspace geometry. There are three cyberspace geometry game-type projects for the Sega-Kid in you. They are Star Fleet Academy, Quake II and Subculture Submarine. They everyday projects seem as helpful by utilizing triangles to solve problems such as the quadrilateral, measuring the altitude of clouds, measuring buildings or tree height and measuring the height of a model rocket's flight. In the end, the purpose of this site is to help students have fun learning by giving them easy to understand math projects that can be done on 3D computers, as well as, projects to take outside and explore the world.--Mike Holt

Puzzle Guide:

Contains links for online games, activities, and puzzles.  Recomended for elementry age and skill.
BY:   GREG PAVLOVIC       SHELLEY TAYLOR

Pythagoras with java--Mike Gort, Tiffany Scholma


"An Interactive Proof of Pythagora's theorem"--Good to help understand the Pythagorean Theorem.
For use in a Euclidean Geometry Class or possibly high school level geometry

Polyhedra Kit--Mike G., Tiffany S.


Paper models of Polyhedra that you can print and build.
All ages

A Project to Transform 6 – 12 Mathematics Education: Vertically Integrated, Inquirer-based Geometry (Sara Crago and Carol Ditkof)

This site is a teacher enhancement project designed to assist teachers, in the junior high to high school levels, in the integration of hands on geometry into the classroom.

Pythagora's Joke--Mike G., Tiffany S.


It's just funny!

The Quadrangle

http://www.geocities.com/CapeCanaveral/Lab/8972/lessons/oneQuad.html

This site is good for early elementary teachers who want their classes introduced to the properties of quadrilaterals. The students are able to manipulate the quadrilateral given on the computer. This site also allows the students to see the effects of these changes by showing the lengths of the segments, the measurements of the angles, as well as the diagonals of the quadrilateral. This site appears to be like a simplified version of Geometer's Sketch Pad. -- Nicole Ames, Dan Tuell

Question and Answer:

Contains the definition of Euclidean Geometry with an example.  Users are able to submit any math question and recieve and answer.  Recomended for higher level math students.
BY:   GREG PAVLOVIC       SHELLEY TAYLOR

Tesselations--Mike G., Tiffany S.


Basic instructions on how to make a Tesselation..  Gives diagrams for making a tesselation.
For any age level

 Tessellations

This web page takes a student step by step through the construction of a tessellation and provides examples. This site provides an excellent opportunity for a student to discover and learn about tessellations and their applications in geometry.

Lisa Boss and Tara Strickler

Tetrahedral Kite Plan--Mike G., Tiffany S.


Gives directions on how to make the kite.  This can be used to apply math to kite building.
Jr. High and above

Three dimensional shapes

Here we have a lesson plan for children to explore three-dimensional shapes found in architectual structures. They do this by designing their own dream home. This is a useful site for teachers teaching 2nd to 5th grade. -- Nicole Ames, Dan Tuell

Unit Plan

This site has a ten day instructional unit with some crazy stuff. Included is the nine-point circle, the three circle problem, and trisecting a triangle.

Jon Terpstra & Jon Rhodea