Curated OER
Topology - The Mathematics of Distortion
In this topology worksheet, 7th graders solve and complete 12 different problems that include shapes and math distortion. First, they use the forms of capital letters as guides, stretch or bend the shape in the first column into as many...
Curated OER
Applied Science - Science and Math Lab
Learners investigate topology. In this Applied Science lesson students explore higher, more abstract mathematics using tangles. Learners make topologically related shapes.
DiscoverE
Designing Highway Interchanges
How do engineers determine the most efficient highway designs? Introduce young scientists to the world of topology, the branch of mathematics that examines how things are connected. Teams use model highways to create the most...
Curated OER
Math: Seifert Surface
Students use wire to make knots and submerse them in pans of detergent to observe how the soap film clings to the wire. They discover this film is called the Seifert Surface. After drawing pictures of the surface, they discuss what...
Curated OER
The Quest For Power
Young scholars investigate and apply properties of math. In this algebra and physics lesson plan, students define important vocabulary words to create a basic understanding of keywords. They perform experiments using concepts of...
Curated OER
Euler Characteristic
Students identify the different properties of Euler's Characteristics. In this geometry lesson plan, students identify the shape and surface a polygon. They relate the concept of Euler to solving real world problems.
Curated OER
Math Morphing Proximate and Evolutionary Mechanisms
Students identify the different types of fractals. In this geometry lesson, students use math to analyze different biological phenomena. They collect data from the experiments and construct graphs.
Wolfram Research
Wolfram Math World: Topology: Topics
A dozen topology topics are listed here for both the teacher's and the student's use. Knot Theory, Bundles, and Topology Structures are just some of the areas which are explored in depth. Detailed explanations and necessary sketches and...
Wolfram Research
Wolfram Math World: World's Most Extensive Mathematics Resource
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
Wolfram Research
Wolfram Math World: Foundations of Mathematics: Topics
This math tutorial site covers set theory, axioms, category theory, logic, mathematical problems, and point-set topology.
Annenberg Foundation
Annenberg Learner: Mathematics Illuminated: Topology's Twists and Turns
What is topology? And how does this area of mathematics allow us to study the shape and interconnectedness of the universe we live in? Video presentation answers these questions via a lively presentation of discussion, examples, and...
National Council of Teachers of Mathematics
The Math Forum: Math Topics: Topology: Knot Theory
An extensive collection of sites on the topic of Knot Theory. Links to dozens of sites are provided which take the user from the basic definition of KT, through to detailed Applet programs which create knots on the spot. NOTE: Some links...
National Council of Teachers of Mathematics
The Math Forum: The Beginnings of Topology Leonard Euler
This site gives a general description of one of Euler's contributions, topology. It also presents one of the more famous problems of mathematics, The Bridges of Konigsberg.
Other
Science Gems: Mathematics
This site has many links to math topics including pre calculus and calculus
University of St. Andrews (UK)
University of St. Andrews: Mac Tutor History of Mathematics Archive
The University of St. Andrews, Scotland, presents hundreds of biographies of famous mathematicians, histories of math in various cultures, and interesting facts on the development of important math concepts. This is a huge reference....
University of Toronto (Canada)
University of Toronto Mathematics: Is There Really Such a Thing as "Infinity"?
See how the existence of infinity depends on the context in which it is used. Offers a look at the concept of infinity from different view points.
Other
Academic Info: Mathematics Gateway
This site provides a comprehensive index and general directory to math sites that will help students in the study of circles.