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To Infinity and Beyond: Online Resources


Lesson Plans

Elementary School (K-5) Lesson Plans and Informative Links on INFINITY:
 
Awesome Library Education
Awesome Library organizes the Web with 29,000 carefully reviewed resources. The link below lists many elementary school math lesson plans, games, information, discussions, materials, papers, projects, standards, and worksheets. Also included is an Infinity resource.
http://www.awesomelibrary.org/Classroom/Mathematics/Elementary_School_Math/Elementary_School_Math.html

Infinity from Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Infinity
 
Infinity Questions and Answers
The Math Forum at Drexil: Ask Dr. Math.
Includes basic questions about infinity asked by elementary level students.
http://mathforum.org/library/drmath/sets/elem_infinity.html
 
LessonPlanet
Over 25 teacher reviewed lessons on infinity.
Must be a Lesson Planet member to access:
http://www.educationplanet.com/search/newsearch?media=lessons&keywords=Infinity#
 
MegaMath Project
The Computer Research and Applications Group at Los Alamos National Laboratory 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.
http://www.c3.lanl.gov/mega-math/welcome.html
 
Welcome to the Hotel Infinity!
MegaMath project at Los Alamos National Laboratory.
http://www.c3.lanl.gov/mega-math/workbk/infinity/infinity.html
 
 
Middle School (6-8) Lesson Plans and Informative Links on INFINITY:
 
Awesome Library Education
Awesome Library organizes the Web with 29,000 carefully reviewed resources. The link below lists middle school math lesson plans, games, information, discussions, materials, papers, projects, standards, and worksheets.
http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Middle-High_School_Math.html
 
Fractals and the Chaos Game
This activity is designed to further the work of the Geometric Fractals lesson by showing students how the Sierpinski triangle can arise from seemingly totally unrelated sources. This gives the students an appreciation of the interconnections of different kinds of mathematics.
http://www.shodor.org/interactivate/lessons/frac3.html
 
Infinity from Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Infinity
 
Infinity: You can't get there from here!
A good introductory essay on Cantor’s work on cardinal numbers.
http://www.mathacademy.com/pr/minitext/infinity/index.asp
 
Introduction to Fractals: Geometric Fractals
This activity is designed to further the work of the Infinity, Self-Similarity and Recursion lesson by showing students other classical fractals, the Sierpinski Triangle and Carpet, this time involving iterating with a plane figure.
http://www.shodor.org/interactivate/lessons/frac2.html
 
Introduction to Fractals: Infinity, Self-Similarity and Recursion

This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
http://www.shodor.org/interactivate/lessons/frac1.html
 
LessonPlanet
Over 25 teacher reviewed lessons on infinity.
Must be a Lesson Planet member to access:
http://www.educationplanet.com/search/newsearch?media=lessons&keywords=Infinity#
 
The Math Forum at Drexil
Links to forums discussing the topic infinity.
http://mathforum.org/library/topics/infinity/
 
Welcome to the Hotel Infinity!
MegaMath project at Los Alamos National Laboratory.
When turn-of-the-century mathematician Georg Cantor approached the subject of infinity with mathematical rigor, he encountered many paradoxes. At the Hotel Infinity, these paradoxes come to life.
http://www.c3.lanl.gov/mega-math/workbk/infinity/infinity.html
 
 
High School (9-12) Lesson Plans and Informative Links on INFINITY:
 
Awesome Library Education
Awesome Library organizes the Web with 29,000 carefully reviewed resources. The link below lists high school math lesson plans, games, information, discussions, materials, papers, projects, standards, and worksheets.
http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Middle-High_School_Math.html
 
Contemplating Infinity: A Philosophical Perspective by Peter Tyson
http://www.pbs.org/wgbh/nova/archimedes/contemplating.html
 
Fractals and the Chaos Game
This activity is designed to further the work of the Geometric Fractals lesson by showing students how the Sierpinski triangle can arise from seemingly totally unrelated sources. This gives the students an appreciation of the interconnections of different kinds of mathematics.
http://www.shodor.org/interactivate/lessons/frac3.html
 
Infinityactivity Developed by: Heather Maltzan.
Target Audience: 9th grade (beginning of school year).
Students will review the concept of infinity and examine their previous knowledge. There are a few activities with which students can express their understanding of the concept. http://www.rit.edu/~comets/pages/lessonplans/infin.html
 
Infinity from Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Infinity
 
Infinity: You can’t get there from here!
A good introductory essay on Cantor’s work on cardinal numbers.
http://www.mathacademy.com/pr/minitext/infinity/index.asp
 
Introduction to Fractals: Geometric Fractals
This activity is designed to further the work of the Infinity, Self-Similarity and Recursion lesson by showing students other classical fractals, the Sierpinski Triangle and Carpet, this time involving iterating with a plane figure.
http://www.shodor.org/interactivate/lessons/frac2.html
 
Introduction to Fractals: Infinity, Self-Similarity and Recursion
This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
http://www.shodor.org/interactivate/lessons/frac1.html
 
LessonPlanet
Over 25 teacher reviewed lessons on infinity.
Must be a Lesson Planet member to access:
http://www.educationplanet.com/search/newsearch?media=lessons&keywords=Infinity#
 
The Math Forum at Drexil
Links to forums discussing the topic of infinity.
http://mathforum.org/library/topics/infinity/
 
Scientific American
“Is Space Finite?” Conventional wisdom says the universe is infinite. But it could be finite, merely giving the illusion of infinity. Upcoming measurements may finally answer this ancient question. By Jean-Pierre Luminet , Glenn D. Starkman and Jeffrey R. Weeks.
http://www.sciam.com/article.cfm?articleID=00065A99-90A6-1CD6-B4A8809EC588EEDF&catID=2
 
Working with Infinity: A Mathematical Perspective
An interview with Dr. Reviel Netz.
http://www.pbs.org/wgbh/nova/archimedes/infinity.html
 
Zeno’s Paradoxes
1997 Essay by Jim Loy.
http://www.jimloy.com/physics/zeno.htm

 
Links to North American Mathematical Societies

American Mathematical Society
http://www.ams.org/
 
American Statistical Association
http://www.amstat.org/index.cfm?fuseaction=main
 
Mathematical Association of America
http://www.maa.org/
 
National Council of Teachers of Mathematics
http://www.nctm.org/
 
Society for Industrial and Applied Mathematics
http://www.siam.org/