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Loci: Resources

The Resources section of Loci provides a select collection of free online learning materials which are available through the site. These materials have been classroom tested and peer reviewed. Many items are posted with editorial reviews and a link to a moderated discussion group focused on the materials.

Looking for archived Digital Classroom Resources? All DCR material posted before July 2008 can be accessed by "Search" or "Browse" through the Loci Archives.

Featured Items:

Exploring Geometric Transformations in a Dynamic Environment

A collection of GeoGebra applets and activities for exploring the properties of reflections, rotations, translations and glide reflections in the plane.
 

Law of Averages Applet

Users toss a virtual coin or die to investigate the law of averages. The outcomes of multiple experiments (consisting of 10000 tosses each) can be graphed on the same plot to facilitate visualization of trends. An activity is provided to facilitate thinking about the law of averages with the applet.

Mathematics Animations with SVG

We highlight five pages written in XHTML with links to SVG files that produce animations illustrating calculus concepts such as the sign of the derivative, inflection points, conic sections, area between two curves, and multivariable functions.
 

Applets and Activities for Real Analysis

This suite of five interactive applets (written with GeoGebra) allows exploration of definitions and theorems commonly presented in first-year analysis courses. Topics include sequence convergence, continuity at a point, the Mean Value theorem, Taylor series, and Riemann sums. Included with each applet is a pair of activities: one for becoming comfortable using the applet, and one for using the applet to explore the associated topic in depth.

Probability Aquarium

Simple probability concepts such as sampling with or without replacement are illustrated in this engaging tiered activity for beginning students and future teachers of probability.
 

OneStone Pebbles

This site features three simple-to-use applets: contour diagrams, curve families, and surface of revolution. The applets are written in Java and exploit Sun Microsystems' Java OpenGL technology so they will run on Apple OS X, Microsoft Windows 2000 or above, Solaris and many common configurations of Linux.

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