


The Math Page Web
Sites
Featured Math
Lessons
Featured
Mathematician - Escher
Where and How Mathematicians
Work
Back to My Home
Page
Link to My Science
Page
These
math topics and links are designed for grades 6 through
8.
Susan Grubbs
WEB SITES RETURN TO TOP
I hope you enjoy the
sites!
| World of Escher | World of Escher [web site]. (1995-2001). Retrieved July 10, 2001, from World Wide Web: http://www.worldofescher.com “M.C. Escher was a Dutch graphic artist, most recognized for spatial illusions, impossible buildings, repeating geometric patterns (tessellations), and him incredible techniques in woodcutting and lithography. M.C. Escher was born June 1898 and died March 1972. His work continues to fascinate both young and old across a broad spectrum of interests. M.C. Escher was a man studied and greatly appreciated by respected mathematicians, scientists and crystallographers yet he had no formal training in math or science. He was a humble man who considered himself neither an artist or mathematician. Intricate repeating patterns, mathematically complex structures, spatial perspectives all require a “second look”. “In Escher’s work what you see the
first time is most certainly not all there is to see. We at the World of
Escher are proud to be here to tell you stories, discuss M.C. Escher’s
works, provide insight, and offer our high quality products promoting the
intriguing work of Escher. If you already know of Escher and his work
you'll have a great time just looking around, otherwise its time to get
ready to explore a world as fascinating as the Internet; The World of
Escher! Along with discussions on Escher we have also included ideas and
readings regarding Professor Roger Penrose and his mathematically based
puzzles.” |
| Escher's Page | Escher's page [web site]. Retrieved November 21, 2001 from World Wide Web: http://www.etropolis.com/escher/ This is a site with information about the artist and
his art. |
| M. C.
Escher Optical Illusions |
M. C. Escher Optical Illusions [web site]. Retrieved November 21, 2001 from World Wide Web: http://www.geocities.com/SoHo/Museum/3828/ M. C. Escher Optical Illusions is a site for
information on the artist, illusions, tesselations, books, and other links
dealing with Escher. |
| Escher Type Tessellations | Tessellations [web site]. Retrieved October 10, 200, from World Wide Web: http://library.thinkquest.org/16661/essentials.html A ThinkQuest site for information
about tessellations. What is a tessellation? A tessellation is any
repeating pattern of interlocking shapes. M.C. Escher made this art form
famous. This site gives students a comprehensive introduction to
tessellations and explains the basic math that is used in creating them.
So enter Totally Tessellated to learn, create, explore, and have
fun! |
| E-Tutor | E-Tutor [web site]. (2000). Retrieved July 5, 2001, from World Wide Web: http://www.e-tutor.com “e-Tutor is the premier K-12 Internet education program for students, educators and parents, providing empowering tools and quality educational content, to create a customized learning community.” |
| Automatic Math Solutions | http://www.quickmath.com/ Quick Math supplies automatic math solutions to many problems. |
| Glencoe Online Tutor | Glencoe Online Study Tools [web site]. Retrieved October 17, 2001, from World Wide Web: http://www.glencoe.com/sec/math/studytools/index.html Students can choice their textbook
and lesson and get online study help.
|
| America OnLine At School | America OnLine At School [web site]. (2001). Retrieved July 17, 2001, from World Wide Web: http://school.aol.com/elementary/research.adp “This website is designed for
students, teachers, and administrators. It has a
|
| The Global Schoolhouse | The Global Schoolhouse [website]. (2000). Retrieved July 18, 2001, from World Wide Web: http://www.gsn.org “Global Schoolhouse has joined
forces with Lightspan.com to bring you the best online collaborative
learning. Please use the links on this page to find Global Schoolhouse
content and tools plus easy access to the wealth of material on
Lightspan.com.” |
| Lightspan.com – Online Learning for School and Home | Lightspan.com – Online Learning for School and Home [web site]. (2000). Retrieved July 17, 2001, from World Wide Web: http://www.lightspan.com “Lightspan.com is a FREE education portal for educators, parents, and students, providing resources, research tools, and grade-specific activities.” |
| NASA Kids | NASA Kids [web site]. (2001). Retrieved July 5, 2001, from World Wide Web: http://kids.msfc.nasa.gov “Science @ NASA's motto is to
Inform, Inspire, and Involve. To achieve our
|
| Ask Dr. Math | Ask Dr. Math [web site]. (1994-2001). Retrieved July 17, 2001, from World Wide Web: http://mathforum.com/dr.math “Students submit questions to Dr. Math by filling out our Web form. Answers are sent back by e-mail, and we then gather the best questions and answers into a searchable archive organized by grade level (elementary, middle school, high school) and topic (exponents, infinity, polynomials, etc.). We recommend using the Dr. Math searcher to find what you want (try keywords like fibonacci, fractal, or proof), and investigating the Dr. Math FAQ (topics include prime numbers, pi, the golden ratio, Pascal's triangle).” Links Include: Math Forum Problems
of the Week: Elementary, Middle School, Algebra,
|
| ThinkQuest | ThinkQuest [web site]. Retrieved November 21, 2001, from World Wide Web: http://www.thinkquest.org "ThinkQuest is a global network of students, teachers, parents and technologists dedicated to exploring youth-centered learning on the Net. ThinkQuest is an online community where young people learn, teach, mentor, discover, research and grow through ThinkQuest programs. The ThinkQuest World encompasses young people,
educators and technologists in more than 100 nations who come together as
digital learners, web creators, and Net entrepreneurs."
|
| Dave's Math Tables | Math2.Org (Formerly "Dave's Math Tables). [web site]. Retrieved November 21, 2001, from World Wide Web: http://www.math2.org/index.xml This is the same resource for math information and
link as was at Dave's Math Tables. David Manura's new site. Great source
of information and help. |
| Bamdad's Math Comics Page | Bamdad’s Math Comics Page [web site]. (1998-2001). Retrieved July 18, 2001, from World Wide Web: http://www.csun.edu/~hcmth014/Comics.html This site hosts a collection of math related cartoons. |
| Olson’s Math Cartoon Page | Olson's Math Cartoon Page [web site]. (1998-2001). Retrieved July 18, 2001, from World Wide Web:http://www.hoxie.org/jo/cartoon.htm This site hosts a collection of
math related cartoons. |
| The Dance of Chance | The Dance of Chance [web site]. Retrieved July 18, 2001, from World Wide Web: http://polymer.bu.edu/museum The focus of this web site is to
exhibit patterns in nature. Patterns listed are:
|
| Cool Math | Coolmath [web site]. (2001). Retrieved October 27, 2001 from World Wide Web:http://www.coolmath.com/home.htm An amusement park of math for
children of all ages. |
| The Math Forum | The Math Forum [web site]. (1994-2001). Retrieved July 17, 2001, from World Wide Web: http:// forum.swarthmore.edu This web site has forum features:
Ask Dr. Math, Discussion Groups, Forum The Math Forum [web site].
(1994-2001). Retrieved July 17, 2001, from World Wide
This web site has forum features:
Ask Dr. Math, Discussion Groups, Forum |
| Mega Math | Mega Math [web site]. Retrieved July 17, 2001, from World Wide Web: http://www.c3.lanl.gov/mega-math/ “Mathematics is a live science with new discoveries being made every day. The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas. Many of these ideas are accessible to young children. Others (infinity is a good example) are ideas that have already piqued many children's curiosity, but their profound mathematical importance is not widely known or understood. The MegaMath project is intended to bring unusual and important mathematical ideas to elementary school classrooms so that young people and their teachers can think about them together.” Links and Resources include: Mathematical Topics: The
Most Colorful Math of All, Games on Graphs, Other Things to Look At: Hints for
Navigating MegaMath, Stories, Writings from |
| AIMS Activities Integrating Math and Science |
AIMS Activities Integrating Math and Science [web site]. Retrieved September 23, 2000, from World Wide Web: http://www.aimsedu.org/ AIMS began in 1981 as a project funded by the National
Science Foundation at Fresno Pacific College. Eighty classroom teachers
and the faculty explored the |
| Fibonacci
Numbers and the Golden Section |
Fibonacci Numbers and the Golden Section [web site].
(2001). Retrieved July 18, 2001, From World Wide Web:
http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fib.html This web site is the Home Page for Fibonacci Numbers
and the Golden Section. There is a large amount of information at
this |
| The MacTutor History of Mathematics | The MacTutor History of Mathematics [web site]. (2001). Retrieved July 18, 2001, from World Wide Web: http://www.asap.unimelb.edu.au/hstm/data/276.htm “The MacTutor History of
Mathematics archive was created and is maintained by John O'Connor
and Edmund F Robertson. It was developed initially as part of the
Mathematical MacTutor system for learning and experimenting with
mathematics. The archive contains the biographies of more than 1300 mathematicians. You can access them from a selection of Alphabetical or Chronological Biographical indexes. We have written some articles on the development of mathematical ideas cross-referenced to the biographies. You can access these using the History Topics Index. There is a collection of more than 60 articles on Famous Curves mathematicians, giving their history as well as pictures of the curves and various curves (evolutes, inverses, caustics etc.) which are associated with them. If your browser is capable of handling JAVA, you have the option of experimenting with these curves in an interactive way.
There is a Search Form (or a Simple Search Form for browsers without forms) which allows you to find references to keywords throughout the archive. You may like to try some of our Search Suggestions. More details of the Mathematical MacTutor system are available. There are other good sources of information concerning the history of mathematics available on the web. |
| The On-Line Encyclopedia of Integer Sequences | The On-Line Encyclopedia of Integer Sequences [web
site]. Retrieved July 18, 2001, from World Wide Web:
http://www.research.att.com/~njas/sequences/
Most people use this web site to get information about
a particular number sequence. |
| Math Art Gallery | Math Art Gallery [web site]. Retrieved July 17, 2001, from World Wide Web: http://www-math.sci.kun.nl/math/knopen/art_gallery.html This web site host an interactive
art gallery which includes 3D fractals, knots, and
|
| Mersenne Primes: History, Theorems and Lists | Mersenne Primes: History, Theorems and Lists [website]. (2001). Retrieved July 18, 2001, from World Wide Web: http://www.utm.edu/research/primes/mersenne.shtml This is a web site that is the
Research Page for GIMPS and is dedicated to finding the largest prime. To
keep up to date on the hunt access this page.
|
| GIMPS, the Great Internet Mersenne Prime Search | GIMPS, the Great Internet Mersenne Prime Search [web site]. Retrieved July 18, 2001, from the World Wide Web: http://www.mersenne.org/prime.htm "GIMPS, the Great Internet Mersenne Prime Search, was
formed in January 1996 to discover new world-record-size Mersenne primes.
GIMPS harnesses the |
Featured Mathematician and Related Math Lesson
M. C. Escher
“M.C. Escher was a Dutch graphic artist,
most recognized for spatial illusions, impossible buildings, repeating geometric
patterns (tessellations), and him incredible techniques in woodcutting and
lithography. M.C. Escher was born June 1898 and died March 1972. His work
continues to fascinate both young and old across a broad spectrum of interests.
M.C. Escher was a man studied and greatly appreciated by respected
mathematicians, scientists and crystallographers yet he had no formal training
in math or science. He was a humble man who considered himself neither an artist
or mathematician. Intricate repeating patterns, mathematically complex
structures, spatial perspectives all require a “second look”.
From: World of Escher [web site].
(1995-2001). Retrieved July 10, 2001, from World Wide
Web:
http://www.worldofescher.com

Sites for
Escher:
The Official M.C.
Escher Website
M. C. Escher -
Optical Illusions and Tessellations
M.C. Escher Centennial
Celebration Page
Teaching Escher:
Using Escher in Classrooms
The World of
Escher
Related
Math Lessons
RETURN TO TOP
Tessellations:
The Geometry of Patterns

|
(Georgia QCC 8th Grade - Strand:
Geometry & Spatial Sense; Measurement - Objective
25) Topic: Reflection, Rotation, Translation
Standard: Analyzes effects of basic transformations on geometric
shapes.
|
Background Information:
Generally by fifth grade, students
have received some geometry lessons in an informal setting. They know about
points, lines, triangles, squares, and such. Before moving into the formal study
of geometry, it is recommended that students be allowed the opportunity to play
with and enjoy geometry. Many students become bored of the formal geometry
or it is too difficult for them. The tessellation unit provides the chance to
play and enjoy the patterns. The lesson is best suited for the end of a basic
study of geometry and before formal proofs.
In mathematics, the word
tessellation (or tiling) has come to mean the repeated use of polygons and other
curved figures to completely fill a region (or space) without gaps or
overlapping. The patterns in tessellations can be described in terms of
transformation (movement geometric figures) in the following ways:
Reflections - a type of
transformation where a figure is flipped over a line of symmetry (mirror
image).
Translations
- a type of transformation where a figure is slid horizontally, vertically, or
both (slide).
Rotations - a type of transformation where a figure is turned around a
central point (turn).
Web site for introduction lesson and extensions:
Totally
Tessellated: An Introduction to Tessellations [web site].
Retrieved October 10, 200, from World
Wide Web:
http://library.thinkquest.org/16661/essentials.html
A ThinkQuest site for information about
tessellations. What is a tessellation? A tessellation is any repeating pattern
of interlocking shapes. M.C. Escher made this art form famous. This site gives
students a comprehensive introduction to tessellations and explains the basic
math that is used in creating them. So enter Totally Tessellated to learn,
create, explore, and have fun!
Where and How MathematiciansWork RETURN TO TOP
NCTM - National Council of Teachers of Mathematics - Online jobs - career opportunities
Employment Opportunities in the Mathematical Sciences
Society for Industrial and Applied Mathematics (SIAM)
Careers in Applied Mathematics
Mathematical Association of America
Opportunities in the Mathematical Sciences - Careers that Count
Math Careers - A whole web site
Mathematics Job Listing w/salaries
Math Careers with mathematics occupation links. Math Careers
Careers in Mathematics as listed Career Education Project in
Mathematic at COOL MATH Career
Ed.
Career Names:
Veterinary Medicine
Agricultural Management
Biomedical
Research
Petroleum Engineering
Construction Engineering/Management
Independent Music
Production
Cartography
Aerospace
Medicine
Astronomical Research
Meteorology
Food Management
Operations Research
Government Finance
Special Education
Public
Accounting
Computer Consulting
Manufacturing Engineering
Architect
Structural Engineer
Navigator
Physicist
Seismologist
Surveyor
Product Manager
Statistician
Math Textbook
Editor
Opinion Researcher
Actuary
Math TV Content Director
U.S. Navy Officer
Casino Manager