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4434Mathematical Visualization Toolkit
http://www.merlot.org/merlot/viewMaterial.htm?id=89767
This site consists of a collection of plotting and solving applets featuring a uniform user interface. This site was selected as the 2005 MERLOT Classics Award winner for the Mathematics discipline due to its value and effectiveness as a set of teaching/learning tools. Visualizing mathematical concepts, especially in three-dimensional space, can be quite difficult for students. These tools and applications enable students to see the concepts in action and to come a deeper understanding of the underlying mathematics. In addition, the collaboration between the faculty, students and Sun Microsystems staff who together designed and constructed these tools was quite unusual and impressive. The collaboration itself is an inspiring model.Rossman/Chance Applet Collection (Statistics/Probability)
http://www.merlot.org/merlot/viewMaterial.htm?id=89688
A collection of applets designed to illustrate various topics in statistics and probability. Topics include Simulating Confidence Intervals for Population Parameter, Behavior of Regression Line, Reeses Pieces, Histogram Bin Width, Sampling Senators, Sampling Pennies, Dotplot Summaries, Guess the Correlation.StatCrunch
http://www.merlot.org/merlot/viewMaterial.htm?id=74665
The package was created to solve many of the problems which exist with the delivery and use of modern statistical software. Many times statisticians develop procedures in languages such as Splus, SAS, Minitab, etc.., which are very specific to statisticians. Students and other potential users may not have access to these languages, and therefore may not be able to use the procedures. By using Java and the World Wide Web, StatCrunch should reach the broadest possible audience of any statistical software of its kind. StatCrunch was chosen as the 2005 Classics Award winner for the Statistics discipline for several reasons. StatCrunch allows any student with internet access the ability to have a reasonably full featured statistical analysis program for minimal cost. This means that students who are taking courses through distance education can now have the same software as students on campus. Students who are working on a statistics assignment at home can now have the same software as they would in a lab on campus. We also believe that StatCrunch represents the beginning of a paradigm shift. As time moves forward we believe that most introductory statistics courses will be taught not with installed software but with internet based software. It is proof that the major obstacles that stand in the way of integrating statistical software into the introductory classroom can be surmounted.Geogebra
http://www.merlot.org/merlot/viewMaterial.htm?id=274019
GeoGebra is a free and multi-platform dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus. On the one hand, GeoGebra is a dynamic geometry system--you can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards; on the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum. These two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.Visual Analysis of Variance (ANOVA)
http://www.merlot.org/merlot/viewMaterial.htm?id=89485
Visual ANOVA is an interactive Flash program which demonstrates visually how variability between and within experimental groups contributes to the F ratio in the Analysis of Variance. It is not a numerical calculator; rather it visually and holistically demonstrates the relations among important concepts. Visual ANOVA is supported by online instructions and by an extensive online lecture explaining the theory behind the Analysis of Variance. The online lecture is supported by two types of assignments: 1) Online computer-graded homework, and 2) A pdf file that gives students the opportunity to do handwritten homework problems with answer keys.Eye Opener Series
http://www.merlot.org/merlot/viewMaterial.htm?id=75011
A collection of Java applets - math puzzles and problem illustrations - that open eyes, each for its own reason.Guessing Correlations
http://www.merlot.org/merlot/viewMaterial.htm?id=74393
Demonstrates Correlation Coefficients in Statistics.Interactive Mathematics--Probability
http://www.merlot.org/merlot/viewMaterial.htm?id=79173
This site contains an extensive collection of java applets involving probability miscellany and puzzles. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.Normal Distribution Calculator
http://www.merlot.org/merlot/viewMaterial.htm?id=79523
Given a mean and standard deviation, this applet illustrates the normal distribution and the probability between two given values.Simulating Confidence Intervals
http://www.merlot.org/merlot/viewMaterial.htm?id=221221
This applet allows users to generate confidence intervals for either means or proportions. Users set the parameters including the number of samples and click "Sample." The applet graphs the intervals such that intervals containing the true mean or proportion are in green, while intervals not containing the true mean or proportion are in red. The true mean or proportion is shown by a blue line.