Online Resources for MAED 4201 - Math Education Seminar

Many of these are interactive applets to facilitate exploration of mathematical concepts.
Check back throughout semester for updates.

Algebra

2D Curve Functions Two dimensional curves as functions of one variable
Trig Functions Interactive unit circle with corresponding trig function graphs
Function Operations Graphical exploration of operations on functions of one variable
Functions of Two Variables Graphical exploration with functions of two variables
Notes:
1) In addition to the menu of functions, you can also type in your own!
2) Use your mouse to rotate graph and view it from another angle.
3) Experiment with items on the "Show" menu to go beyond algebra and into calculus.

Number and Operations

Ancient Number Systems Description of symbols and systems for counting:
Inca, Egyptian (numeration and fractions), Mayan, Greek, Babylonian
The Abacus Explanation of the abacus; interactive abacus at bottom of page to experiment with
Worldwide Number Systems Exploration of number systems around the world (includes language of numbering systems)
Korean Number Systems Exploration of Korean number systems, related linguistics, and symbols
Number Systems History Reference Links to multiple sites on history and details of various number systems

Geometry

Geometer's Sketchpad Activities Sample construction and investigation activities using Geometer's Sketchpad
Non-Euclidean Geometry Overview General explanation of non-Euclidean geometries, particularly spherical and hyperbolic geometries
NonEuclid Software Interactive Java software for exploring hyperbolic geometry (download at bottom of page)
NonEuclid Activities Specific explorations and learning activities using the NonEuclid software above
Area and Defects Exploration of area formulas and triangle "defects" in hyperbolic geometry
Hyperbolic Geometry Models Explanation of disk and upper half-plane models of hyperbolic geometry
Hyperbolic Geometry and Fractals Exploration of the relationship between hyperbolic geometry, tesselations, tilings, and fractals
Spherical and Elliptical Geometry Description and comparison of spherical and elliptical geometries
Reference Text by Manning Electronic copy (pdf) of Project Gutenberg text:
Henry Manning, Non-Euclidean Geometry, 2004

Probability and Statistics

Virtual Stats Lab Rice University's online interactive statistics resources;
includes applets, simulations, multimedia, etc.
Sampling Techniques Outline and explanation of sampling techniques
Exploring Data Curriculum support materials for teachers of introductory statistics, hosted by
CQUniversity (f.k.a. Central Queensland University) of Australia
General Stats Resources Other statistics resources posted at CQUniversity
Stats Calculators Free statistical calculators for many common prob/stats analyses
Interactive Stats Links to several statistical resources, both reference materials and computational tools
The Normal Distribution Animated illustration of a physical model that produces a Gaussian (normal) distribution
Coin Toss Coin Toss Simulation
Spinner Configurable Spinner Simulation
Marbles Marble Drawing Simulation
Random Numbers Random Number Generator

Calculus

Geometer's Sketchpad Activities Sample calculus activities using Geometer's Sketchpad
Calculus Apps Web-based calculus applications
The Calculus Page Calculus resources from calculus.org
Cool Calculus Cool web-based resources on "Cool Math Sites" (click on Calculus)

Discrete Mathematics

Discrete Math Activities and Applets Companion website to Discrete Math text by Ensley and Crawley
Graph Coloring Applet Interactive Graph Coloring Applet at Cut-the-Knot
Graph Theory Lessons Graph Theory lessons and 'Petersen', an interactive graph drawing and exploration application
Discrete Math Resources Links to a variety of Discrete Math applets and resources