## Geometry Web Sites MathEd 5031, Spring 2000

Site Name: Investigating Patterns: Symmetry and Tessellations

Reviewed By: Sample review on 1/20/00

This site contains a collection of 30 activities coordinated with the book of the same name. Includes links that explore symmetry in flags, quilting, inversions, Escher-type tessellations and even Donald Duck in Mathemagic Land. Some of the activities/links are more accessible and/or useful than others, but it looks like a wonderful resource for teaching symmetry.

Site Name: The Geometry Web Page

Reviewed By: TinaM on 1/20/00

This site contains 16 activities that use varying manipulatives, including tangrams, geoboards, and space cubes. Each activity has different problems within them. There are also Test Previews included on the website. These previews consist of review questions of the different activities supplied on the page. There are also a couple of downloadable geometric games on the website, as well. Some of the activities on the web page deal with tessellations, symmetry, and polygons. I think this is a really good website. It offers different ideas for presenting various topics in geometry.

Site Name: Interactive Mathematics Online (IMO)

Reviewed By: TinaM on 1/20/00

This would be a good reference site for your students if you developed a class web page. It contains information on a variety of math topics including geometry and trigonometry. The Geometry webpage includes an informative introduction to geometry. It also contains definitions of geometric terms as well as theorems and postulates. What I like the most about this site is that it gives a good definition and explanation of proofs. The Trigonometry web page is illustrative and full of examples. I like the fact that it includes brief lessons of geometric history. There are exercises that the students could try to test their understanding of topics in geometry and trigonometry, as well. Bookmark this site, it's pretty good.

Site Name: Other Tilings: Geometry Project

Reviewed By: MarthaW on 1/21/00

This is a collection of hyperbolic tessellations and Escher-type drawings done by St. Olaf students who are currently taking the geometry course here. It is very graphics intensive, so don't go to it unless you have super-fast access (probably not at home no matter how fast your modem is.) Since it is so slow, I would not rate it as very usable, unless you want to download the files onto your own computer or zip drive and use later.

Site Name: Teaching Math

Reviewed By: RyanV on 1/21/00

This site simply gives some projects for teachers to enhance their curriculum. Along with Geometry projects, they also have Algebra and Trigonometry as well.

Site Name: Geometry Through Art

Reviewed By: RyanV on 1/21/00

This web site gives some projects and useful computer software or programs to use. It has many links, and the ones I looked at seemed very interesting. On a 1-10 scale, I'd give it an 8 for usefulness to teachers.

Site Name: Technology in the Geometry Classroom

Reviewed By: RyanV on 1/21/00

This web site gives some tutorials for using the web and some other math programs. It also has quite a few links to other math web sites. On a 1-10 scale, I'd give it a 5 for usefulness to math teachers.

Site Name: Color Mathematics

Reviewed By: RyanV on 1/21/00

This web site contains some "revolutionary" algebra and geometry educational software. It's supposed to improve memory and concentration, however I did not look at it in depth. On a 1-10 scale, I'd give it a 6 for usefulness to math teachers.

Site Name: Math Lesson Plans

Reviewed By: RyanV on 1/21/00

This web site is awesome! It has many, many links to lesson plans for almost any math subject. This is kind of like the home page, but like I said the links are great. On a 1-10 scale, I'd give this site an 11 for usefulness to math teachers.

Site Name: NonEuclid

Reviewed By: LukeB on 1/22/00

This is an excellent web site to learn about geometry other than Euclidean geometry. This site includes hyperbolic, spherical, and other geometry. It also includes sections on why a certain geometry is important and how a teacher can use it in the classroom. It has ideas for teachers on how to explore the different kinds of geometry. I thought it was a great site to use if you want to show your students something different.

Site Name: Geometry

Reviewed By: LukeB on 1/22/00

I thought this was a great site for geometry. It explains all kinds of geometry terms. It also has a great section on the application of geometry. This site shows how to use geometry to create stereograms.

Site Name: Euclid's Elements

Reviewed By: LukeB on 1/22/00

I thought this was a great site about Euclid's Elements. It goes through the Elements and explains them.

Site Name: Pythagoras' Theorem

Reviewed By: LukeB on 1/22/00

I thought that this was a good site to learn about the Pythagorean Theorem. It has a proof of the theorem and it also has a funny joke about it too.

Site Name: The Geometry Center

Reviewed By: LukeB on 1/22/00

I thought this was an excellent site. It has tons of stuff on geometry. It also has a ton of stuff on how to use technology in the classroom. There are so many ideas for teachers to use.

Site Name: World of Escher

Reviewed By: JenM on 1/22/00

This site has both a library and art museum to learn more about Escher's work and how to use this as a tool in the classroom. This could be very good for teachers to use and show how geometry appears in art.

Site Name: Fractals Unit

Reviewed By: JenM on 1/22/00

This would be useful for teaching geometry in a middle school. It gives a complete unit on teaching fractals, a hands on approach for younger students to learn geometry.

Site Name: Teaching Math

Reviewed By: JenM on 1/22/00

The site provides many interesting geometry projects such as different designs that can be assigned and games such as GeoBingo. This would provide teachers with tools to keep students interested in learning math.

Site Name: Geometry

Reviewed By: JenM on 1/22/00

This is a complete geometry web page that would be a great reference for teachers. It includes a general introduction to geometry, units such as lines and angles, and a well rounded set of sample problems that could be used by students.

Site Name: Geometry in Action

Reviewed By: JenM on 1/22/00

This is an awesome site that would be perfect for any teacher who has students that question why they need to learn geometry. It has many real world applications of geometry in areas like, design and manufacturing, information systems, medicine, and robotics. This site has a lot of information that could be shared in the classroom.

Site Name: Math Goodies

Reviewed By: TomD on 01/23/2000

This website offered interactive lessons to actively engage students in learning mathematics. Some of the lessons I thought could be very useful to geometry teachers. There were also links to problems and puzzles related to geometry that you could give to students.

Site Name: The Geometry Junkyard

Reviewed By: TomD on 01/23/2000

This webpage contains problems, programs, research excerpts and other stuff related to discrete and computational geometry. Looking over this website, there were some links useful to high school and middle schoool teachers but as a teachers you would have to look through and determine what would benefit you in your classroom.

Site Name: Geometry

Reviewed By: TomD on 01/23/2000

This site contains volumes of videotapes that you can show your students to relate to the topic that you are studying in class. Now I thought this was a good website because these videos offer an approach to capture students attention on the subject. A teacher could use this as an opener to some lessons, to spark thinking and motivation by students.

Site Name: Fractals

Reviewed By: TomD on 01/23/2000

This website was entirely devoted to the middle school teachings of fractals, and was composed with the NCTM Standards taken into consideration. I thought this webpage would be excellent for any middle school teacher to take a look at, and it would give them some great ideas to use in the classroom.

Site Name: Teaching Math

Reviewed By: TomD on 01/23/2000

I like this website because it gave some good ideas for allowing students to do the hands on work that get every student interested. I also liked the idea of the Geo Bingo, to allow the students to do some very good interaction with each other. And serves as a good opener for classroom that are going to use cooperatively learning.

Site Name: Math Forum-Internet Geometry Hunt

Reviewed By: ChrisW on 23 Jan 2000

The Internet Geometry Hunt asks students to find various pieces of historical and contemporary information about leading geometry thinkers, geometric ideas, and geometry uses. It looks like fun.

Site Name: Geometry in Motion

Reviewed By: ChrisW on 23 Jan 2000

A site that provides direct interaction with geometric diagrams. After manipulating these diagrams, there are questions to answer about what one has done. Pretty Impressive

Site Name: Smile Program Mathematics Index

Reviewed By: ChrisW on 23 Jan 2000

This site provides links to some hands on lesson plans that I thought were interesting. Two that are worth noting are Spherical Geometry: A Global Perspective and Circles-Diameters, Circumference, Radius, and the Discovery of Pi.

Site Name: Building Polyhedra Project

Reviewed By: LizA on 1-23-2000

Summary: A lesson for students to build a total of 6 solids from patterns they select. Patterns are divided into 4 groups: pyramids, prisms, platonic solids, and oblique prisms and irregular pyramids. From the patterns, students can simply cut, fold and glue, OR transfer them to sturdier material like poster board or manila folders, enlarge or shrink them, build extra solids, and decorate. Students are then required to present them to the class by describing each one of their solids. They have to give the correct name and talk about their base, lateral faces, vertices, etcetera.

Site Name: Cornell Theory Center, Math and Science Gateway

Reviewed By: TracyA on January 23, 2000

Site Name: Center for Geometry Analysis, Numerics Graphics

Reviewed By: TracyA on January 23, 2000

This web site has resources for computational geometry, both on and off the internet. It has links for Literature, Software, Events, General Resources and Research & Teaching. This web site has almost any geometry connection you could possible need.

Site Name: The Golden Ratio

Reviewed By: LizA on 1-23-2000

This is a lesson introducing the golden ratio. I believe this topic is part of the Minnesota High Standards. Anyway, it introduces the golden ratio, where it can be found in the human body, the golden rectangle, fibonacci's numbers, and a construction for the golden spiral.

Site Name: The Geometry Junkyard

Reviewed By: LizA on 1-23-2000

This site just lists tons of other geometry sites according to subject. I especially like the last section on lesson plans.

Site Name: Interactive Mathematics, Miscellany and Puzzles

Reviewed By: TracyA on January 23, 2000

This web site has 114 puzzles or problem related to Geometry. Most include at least one method for solving the problem, a solution, and references. A problem for everyone.

Site Name: Tangrams

Reviewed By: LizA on 1-23-2000

This is a lesson very similar to the one Terry did with us in the summer using tangrams to explore the properties of shapes, measures of interior angles, and area of shapes. If you liked this lesson, but were not taking good notes at the time you are in luck because here it is on the web.

Site Name: Colorful Mathematics

Reviewed By: TracyA on January 23, 2000

There are 5 games that present advanced math concepts in a fun game approach. This includes everything from graph theory to computer science. I think this site would be helpful for getting your students to look for all the possible solutions, not just the easiest/first answer they come up with.

Site Name: Pascal's Triangle

Reviewed By: LizA on 1-23-2000

This website has guided discovery lesson plans on Pascal's triangle for different age groups including high school. As I was looking at the web page my friend's 8 year old cousin came by and started finding patterns in the triangle, using her counting and addition skills, which convince me this is a subject that people find naturally interesting.

Site Name: Geometry in Action

Reviewed By: TracyA on January 23, 2000

This is a collection of various areas in which ideas from discrete and computational geometry meet some real world applications. This site demonstrates how geometry is related to Design, graphics, medicine and biology, physical science, robotics, etc. Great site for the student who wants to know "where am I going to need this", or "why is this important"?

Site Name: Ptolemy's Ptools

Reviewed By: JennieN on 1/23/00

The purpose of Ptolemy's Ptools is to help students have fun learning by giving them easy to understand math projects to do either by themselves or with an adult's direction. Using tools of yesterday, and tools specially created for this site, Ptolemy Ptools will give you geometry projects to do with your 3D computer games as well as projects to take outside and explore the world. For example, one project measures the altitude of clouds using cardboard boxes and empty paper towel rolls.

This site is fun and easy to use!

Site Name: Math Goodies

Reviewed By: JennieN on 1/23/00

Math Goodies is a free educational web site featuring interactive math lessons. The innovative lessons use a problem-solving approach and actively engage students in the learning process. The site also offers homework help, message boards, puzzles, calculators, and much more!

It looks like a great website for beginning teachers.

Site Name: Geometry

Reviewed By: JennieN on 2/23/00

This is a nice website with step-by-step examples and lots of easy-to-follow explanations. They have a special page on constructions and plenty of sample problems to help students/teachers understand the concepts.

A good web site for extra help on terminology or examples, but a little boring.

Reviewed By: StaceyS on 1/23/00

This site is an excellent source for a variety of different math pages related to geometry. There are a number of websites for fractals, polyhedra, tesselations, and origami to mention a few.

Site Name: The Math Forum

Reviewed By: JennieN on 2/23/00

This website is a good source of links for other web sites. It is divided up into three sections: Math Resources by Subject, Math Education, and Key Issues in Math. From these, you can narrow your search down to find just about any information you want (including various geometry sites).

Useful for those who know what they are looking for, but the site could be a little time consuming otherwise.

Site Name: The Geometry Center

Reviewed By: JennieN on 2/23/00

Though the Geometry Center is no longer up and running at the U, this could still be a useful resource. The site includes a geometry reference archive, downloadable software, and projects, among other things. Some of these projects are quite interesting (we used a few of them in the calc classes we taught at the U) and could be used on the highschool level.

This is a nice site--easy to use and well-organized.

Site Name: Conjectures in Geometry

Reviewed By: StaceyS on 1/23/00

This site features "Twenty Conjectures in Geometry" with definitions, pictures, explanations, activities, and interactive sketchpad demonstrations for each conjecture.

Site Name: Native American Geometry

Reviewed By: StaceyS on 1/23/00

This site supplies a great background for integrating a multi-cultural instruction into the classroom. There are references to the history of geometry along with excellent activities for students. It makes a clear bridge between mathematics and art.

Site Name: Taxicab Geometry

Reviewed By: StaceyS on 1/23/00

This site provides a great introduction to non-Euclidean geometry that can be fun and understood by high school students. There are some excellent REAL-WORLD applications at this web site.

Site Name: Geometry Formulas and Facts

Reviewed By: StaceyS on 1/23/00

This site is provides a great review (or introduction) to several formulas and definitions in 2- and 3-dimensional geometry including coordinate systems, isometries, transformations, lines, polygons, conics, etc.

Site Name: The Geometry Center-Gallery of Interactive Geometry

Reviewed By: ChrisW on 23 Jan 2000

This site gives access to programs that can be used to explore mathematics. The most useful one for geometry teachers looks like QuasiTiler, a program that lets one design tilings of a plane.

Site Name: Activities for Pi Mathematics

Reviewed By: ChrisW on 23 Jan 2000

This site provides a set of plans to help students investigate pi. I have always liked these investigations. This is another fun one.

Site Name: Geometry in Action

Reviewed By: LoriLu on 01-23-00

This web site contains descriptions of real world applications from geometry. There are numerous links to these applications and their geometric connections. This is an excellent site for students to explore career opportunities and the relevance of geometry to the real world.

Site Name: Geometry Problem of the Week

Reviewed By: LoriLu on 01-23-00

This web site presents an updated Geometry Problem of the Week. The solution to the previous week's problem is posted regularly. Students/classes can even submit solutions for recognition at year-end awards. There are also more extensive Projects of the Month and an archive of problems dating back to 1993. This is a great source of good geometry problems.

Site Name: Zometool Lesson Plan of the Month

Reviewed By: AndreaA on 1/23/00

This is a lesson plan for students to discover Euler's formula. It includes assessment strategies and which NCTM standards are addressed.

Site Name: Pi Mathematics

Reviewed By: MiriamN on 1/23/00

This is a project for grades 5-8 with activities in which students can discover the approximate value of pi, apply formulas and solve problems involving pi, explore its history, and participate in a collaborative online project. It looks like a great site for students to learn about the mathematics and history of pi.

Site Name: Fractals

Reviewed By: LoriLu on 01-23-00

This web site contains a set of lessons, written to comply with the NCTM Standards, using fractal geometry. The lessons are designed for the middle school student. This is a good source of classroom ideas that are both fun and informative.

Site Name: Geometry Problem of the Week

Reviewed By: AndreaA on 1/23/00

This site has an interesting problem each week to solve and has the solution to the previous week's problem. It also has rules, help for teachers, help for students and other information. This might be fun as a problem of the week for your class or maybe for extra credit.

Site Name: Pythagoras' Playground

Reviewed By: MiriamN on 1/23/00

This site has links to some interesting activities that involve the Pythagorean theorem in exploring the world around us. Useful for teachers looking for real life examples of problems involving the Pythagorean theorem.

Site Name: Student Tessellation Projects

Reviewed By: AndreaA on 1/23/00

An excellent display of tesselation and fractal graphics by students at Thomas Jefferson Junior High School in Salt Lake City, Utah. The graphics print well for class handouts or overhead transparencies. The students' teacher, David Bradley, describes the lesson that led to the projects. This looks like a good way to show students what they can do if you assign a similar project.

Site Name: (Netscape directory for Math Education)

Reviewed By: MiriamN on 1/23/00

This directory provides many good links to sites related to math education, including several involving geometry.

Site Name: VRML Geometry Teacher

Reviewed By: KipK on 1.23.00

This is a delightful page, offering students the ability to spin, rotate, and walk around various three-dimensional figures. Students can begin to understand how to draw and think in three dimensions much easier after coming to this site. Downloading a viewer will probably be necessary.

Site Name: Geometry of Rainbows

Reviewed By: AndreaA on 1/23/00

This looks like a really neat site and included information you can use to create a lesson plan on rainbows for a geometry class. It is versatile in that it has lessons with or without calculus. It includes handouts, transparencies and an interactive unit on creating a rainbow.

Site Name: Educate the Children - Maths Resources: Shape, Space and Measure Resources

Reviewed By: MiriamN on 1/23/00

This site gives a list of activities relating to shape, space, and measurement for different age groups. Some interesting-looking problems and exercises, but aimed largely at elementary students. The activities are given as PDF files that can be downloaded.

Site Name: Geometry Through Art - Teaching Measurement

Reviewed By: KipK on 1.23.00

A rare chance for the amalgam of math, history, and jump-rope, 'Egyptian Knottedstring Project' provides children with the opportunity to compare their heights with the world around them. Through this webpage, you will have access to a project that helps students find examples of parallel and perpendicular lines in what can be an ongoing project for the class.

Site Name: Math Media

Reviewed By: KipK on 1.23.00

This is simply a page with a TON of programs available for classrooms. Apply for a grant. Buy some software. Bring a new dimension to your students' class.

Site Name: Euclid's Elements

Reviewed By: MiriamN on 1/23/00

A web version of Euclid's "Elements", using Java applets to illustrate the geometric concepts. I think this would be a great way for students to study and visualize the content of the Elements.

Site Name: Taxicab Geometry

Reviewed By: KipK on 1.23.00

Urban geography meets non-Euclidean geometry in this project of measuring taxi routes through city blocks. May need to be simplified for some geometry classes, but good use of Pascal's triangle is available. Also popular among MathEd 5031 students.

Site Name: Geometry Junkyard

Reviewed By: AndreaA on 1/23/00

This site has many interesting areas to explore. One I looked at was the origami, which showed pictures of different geometrical paper folds. I'm not sure how much use it would have, but it might be fun to have your students do some of these, if you could figure out how to explain them.

Site Name: The Geometry Junkyard

Reviewed By: KipK on 1.23.00

Does teachers-block have you down? Need a lesson plan idea? How about teaching materials? Then savor the resource of the Geometry Junkyard with a monstrous list of teaching ideas when working with geometry. Serve on ice. Enjoy.

Site Name: Mathematical Metaphors in Art

Reviewed By: LoriLu on 01-23-00

This web site contains a specific lesson plan where students can discover, through reading a NY Times article, connections between math and art. The focus of the lesson is quite broad, but geometry is definitely part of the discussion. This is an excellent site for a fun classroom idea to get students interested in math by relating it to pop culture and the arts. The main site also contains other great math lesson ideas involving subjects such as statistics, algebra, etc...

Site Name: Individual Lesson Plans

Reviewed By: LoriLu on 01-23-00

This web site contains brief descriptions of and links to several individual high school lesson plans. This is an especially good place to look for some "hands-on" activities for the geometry classroom.

Site Name: Conjectures in Geometry

Reviewed By: JeffD on 1/23/00

This is a very professional web site done by our very own U of M instructors Linda Stevens, Dave Wiggins, and Jodi Crane. The site features twenty basic high school geometry concepts, conjectures, and theorems that can be explored interactively using geometer's sketchpad. Follow-up activities are also provided including compass and straightedge constructions. This is a must see web page!

Site Name: The VRML Geometry Teacher

Reviewed By: JeffD on 1/23/00

This site is really nice once you download the VRML plug-in. High School students who are struggling with remembering formulas will benefit from seeing geometric figures in 3D.

Site Name: The MacTutor History of Mathematics archive

Reviewed By: JeffD on 1/23/00

This site is absolutely impressive. Every topic imaginable in math history is covered. You can learn about the developments of certain topics throughout history, read biographies of nearly every mathematician that has ever lived, or simply view hundreds of famous curves. This site is comprehensive, visually rich, and a great resource for students. This is my favorite math site!

Site Name: Geometry Jokes

Reviewed By: JeffD on 1/23/00

11 one liners that are sure to keep geometry class from getting too dry.

Site Name: San Graal School of Sacred Geometry

Reviewed By: JeffD on 1/23/00

This is the wierdest site I have EVER encountered on the net. Not suitable for class but very interesting geometric pictures. These folks worship some geometry god. Check it out.

Site Name: The Mental Edge - High School Geometry

Reviewed By: TinaM on 1/24/00

This is a nice website that you could refer to on your personal web page for your geometry students. It is an on-line course that provides the students with review problems and applications of various geometric relationships. There are 70 interactive 'quizes' on the website that the students can take to refresh and deepen their understanding of the lessons presented in class. I believe that this website could complement any geometry class.

Site Name: Cynthia Lanius' Lessons: Geometry Online

Reviewed By: TinaM on 1/24/00

This is a very interesting site. What I like about it the most is that it makes a variety of links/connections between Geometry and other disciplines. For example, there is a section of the website that deals with the history of geometry. There are also several activities that you could use during your lessons. For instance, there is a real world activity called School Bus Geometry which I think students could benefit from solving. There is also a glossary of geometric terms on this site which would be helpful for students who may visit the site.

Site Name: Interactive Mathematics On-line

Reviewed By: AndreaB on 1/24/00

On-line geometry information. Includes problems and complete explanations of geometric subject matter.

Site Name: Geometry in Motion

Reviewed By: AndreaB on 1/24/00

A really cool page with many interactive programs to help visualize many aspects of geometry. Complete with questions.

Site Name: Smile program mathematics index

Reviewed By: AndreaB on 1/24/00

A collection of almost 200 single concept lessons. There is a geometry section, along with other sections.

Site Name: Suzanne's Mathematics Lessons

Reviewed By: AndreaB on 1/24/00

An entertaining and challenging group of Web and technology based math units for middle and high school classrooms.

Site Name: Computational Geometry Pages

Reviewed By: AndreaB on 1/24/00

Geometry resources: teaching tools, software, books, journals, comics, etc

Site Name: Tantalizing Tessalations

Reviewed By: TinaM on 1/24/00

This website presents aspects of geometry in a different fashion. It contains 10 lessons involving tesselations that allow the students to work cooperatively. The site touches on transformations and allows students to explore them hands on. The students are able to create their own tesselations and explore their more creative/artistic side. Check this site out. It could be fun for you and your students.

Site Name: The Geometry Junkyard

Reviewed By: MichaelR on 1/25/00

As the author states, “These pages contain usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.” The “junk” is nicely sorted into about 25 specific categories, ranging in accessibility from origami to Voronoi diagrams. I was impressed by the variety of resources from which information has been collected and re-organized.

Site Name: Geometry In Action

Reviewed By: MichaelR on 1/25/00

As the author describes, “This page collects various areas in which ideas from discrete and computational geometry ... meet some real world applications. It contains brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages on the applications themselves and on their geometric connections.” The applications are divided into categories: pure geometry, design and manufacturing, graphics and visualization, information systems, medicine and biology, physical sciences, robotics, and other (including such surprises as sociology and timber processing). This is a wonderful resource toward which to direct students when they ask, “How am I ever going to use geometry?”

Site Name: Tom Gettys - Polyhedra Hyperpages

Reviewed By: MichaelR on 1/25/00

A collection of beautiful, colorful computer-generated images of polyhedra, complete with descriptions. Polyhedra are divided into five categories, from simplest to most complex: Platonic Solids, Archimedean Solids, Kepler-Poinsot Polyhedra, Compound Solids, and Stellated Polyhedra. Within each category is a piece of an progressive description which the author uses to tie each class of polyhedra to the previous set(s). Also included is a link to the computer program used to create the images and a link to a primer which describes how to make high-quality paper models of the polyhedra. A wonderful launch point for a end-of-unit discovery lesson on 3-dimensional solids.

Site Name: Dave’s Math Tables: Geometry

Reviewed By: MichaelR on 1/25/00

At first glance, this site appeared to be a wonderful collection of formula pages and diagrams displaying basic concepts of geometry. However, that “collection” turned out to include only two categories: Area/Volume/Surface Area and Circles. These two pages are quite useful, but the page doesn’t include enough material to warrant a bookmark. I plan on sending the author a comment to encourage him to beef up his geometry section; I could use the time-saver of having formula sheets at my fingertips.

Site Name: Math Forum - Geometry Problem of the Week

Reviewed By: MichaelR on 1/25/00

The name of the site speaks for itself. The problems are quite good, and typically do not have an exact answer -- more often a description of the answer process is desired. For example, this week’s problem contains the following disclaimer: (Here's a hint: the answer doesn't have to be a single number, but tell me as much as you can about the area of the parallelogram. What can it be? I want to know "the answer", which means everything, not just "an answer".) The page contains an archive of previous problems and solutions, and offers prizes to students who consistently submit correct solutions. A wonderful enrichment resource and extra-credit incentive, especially for those always-done-early Type A’s.

Site Name: Pythagoras' Theorem

Reviewed By: LeifN on 1/25/00

This web site is a great one. As the title implies it is completely about the Pythagorean Theorem. It gives a couple different proofs of the theorem, with animations accompanying some of them. It also gives a lot of history about Pythagoras and the theorem. It would be a great resource when introducing the theorem to the class.

Site Name: An Interactive Proof of Pythagoras' Theorem

Reviewed By: LeifN on 1/25/00

This site is not as good or in depth as the previous site about the Pythagorean Theorem, but the proof and animation that is given is very good and makes the more easy to visualize. If students are having a problem visualizing the theorem this site would be a great resource.

Site Name: The VRML Geometery Teacher

Reviewed By: LeifN on 1/25/00

This is a pretty cool site that allows students explore and play with 3D objects. It does require a VRML plugin so that you can view and manipulate the objects.

Site Name: Taxicab Geometry

Reviewed By: LeifN on 1/25/00

This site is a decent one. It gives a introduction to non-Euclidean geometry and gives several relationships to real world applications. It is very well organized and easy to use. I think that it would be a great resource for students in a geometry class.

Site Name: Ptolemy's Ptools

Reviewed By: LeifN on 1/25/00

This is a very good site that goes very in depth in to Ptolemy and his contributions to geometry. It gives activities that are simple enough to do in the classroom and others that are more complex that are done on the computer. The site has a history section that is a great introduction to Ptolemy.

Site Name: Mrs. Glosser's MathGoodies

Reviewed By: LoriLa on Jan. 30, 2000

This web site provides an excellent opporunity for math teachers to have students review geometrical (or other) concepts through the internet. This site provides infomation, examples, and definitions. It gives students an opportunity to review or quiz themselves through interactive lessons, complete with tests.

Site Name: Math Forum