Wolfram Research
Wolfram Math World: Sets
This page discusses sets and set theory in mathematics and probability, and it discusses the notation and properties of sets.
University of St. Andrews (UK)
University of St. Andrews: History of Set Theory
This page, which is provided for by the University of St. Andrews, traces the history of Set Theory as well as the concept of infinity and the infinite set.
University of Saskatchewan (Canada)
University of Saskatchewan: Emr: Exercises in Math Readiness
The University of Saskatchewan offers this resource for the review of mathematical concepts that students need to enter university level math courses. Topics include mental arithmetic, algebra, geometry, trigonometry, exponential and...
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.
Other
Earlham College: A Crash Course in Infinite Sets
This site aims to provide all essential information on infinite sets in a way the reader will immediately understand.
Wolfram Research
Wolfram Math World: Closed Set
Site gives four different definitions of a closed set in mathematics. Each of the definitions has at least one link for further clarification. The site also expresses which of these definitions is most commonly encountered.
OpenStax
Open Stax: Catherine Schmidt Jones: Keys and Scales Are Sets
Help your students identify sets and intersections of sets with this musical activity. Using the concept of key signatures, students will learn that scales are sets of notes. Included with this lesson plan are downloadable worksheets and...
Texas Instruments
Texas Instruments: Numb3 Rs: Critical Maths
Based off of the hit television show NUMB3RS, this lesson introduces students to critical path analysis (CPA), in which tasks are broken into subtasks with prerequisites. In such a situation, subtasks must be completed in a certain order...
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...
Math Aids
Math Aids: Venn Diagram Worksheets
Great resource to practice and strengthen math skills pertaining to Venn Diagrams. Math worksheets are printable, may be customized, and include answer keys.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational and Irrational Number
Math Forum response to the size of the set of rational numbers. Responses investigate the countability of sets and basic set theory.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rational Numbers
Math Forum response addressing how many elements are in the set of rational numbers. Responses investigate the countability of sets, and how sets with an infinite number of elements can be counted and compared to other "infinite sets."
Boston University
Bu: Fractal Geometry of the Mandelbrot Set
This site progresses in iterations through Mandelbrot and Julia sets to explain fractals and the mathematics behind them.
Boston University
Fractal Geometry of the Mandelbrot Set Ii
This web site addresses counting and adding in fractal operations, as well as the role of the Fibonacci sequence in fractal geometry.
TED Talks
Ted: Ted Ed: Why Do Competitors Open Their Stores Next to One Another?
Discover how game theory and Nash Equilibrium affect where retailers set up businesses to compete with each other. [4:07]
Texas Instruments
Texas Instruments: Numb3 Rs: It's All Connected
Based off of the hit television show NUMB3RS, this lesson uses students' knowledge of graph theory (networks) to introduce two measures of centrality (how connected a particular node is to the entire network), known as degree centrality...
CK-12 Foundation
Ck 12: Precalculus Concepts 2.0
A complete high school Precalculus Concepts course. Includes 'Related Modalities' for each lesson that teach the same concept in different ways. The text materials follows Algebra II and comes before Calculus or Statistics. The content...
University of St. Andrews (UK)
University of St. Andrews: Waclaw Sierpinski
This site, which is provided for by the University of St. Andrews, gives information on the life and accomplishments of mathematician Sierpinski.
University of Victoria (Canada)
Amof: Amazing Mathematical Object Factory
The Amazing Mathematical Object Factory allows you to review many combinatorial objects by producing lists of mathematical objects. This game helps make discrete mathematics more accessible. Combinatorial objects are studied in discrete...
Boston University
Boston University: Chaos, Fractals and Arcadia
This is an interesting site for information on chaos and fractals. Includes links to interactive activities to learn more.
Shodor Education Foundation
Shodor Interactivate: Lesson: Fractals
This site provides some links to activities and lesson plans dealing with fractals and chaos.
Other
Eal: Fract Ed
A great resource for beginners. The site begins with a definition of iteration of functions, and proceeds from there to discuss fractal dimension.