California Subject Examination for Teachers (CSET)
The University of California, Irvine Extension, supported by generous grants from the William and Flora Hewlett Foundation and The Boeing Company, is developing online courses to prepare science and mathematics teachers for the California Subject Examinations for Teachers (CSET). UC Irvine Extension's online test-preparation courses correspond with the 10 CSET science subtests and three CSET mathematics subtests.
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Understanding Online Interaction
This course is designed to provide an introductory level of understanding of the manner in which individuals interact with one another via the network. Possession of this understanding is absolutely critical to your ability to design effective learning environments on the network. This course takes an immersion approach to helping you develop your understanding by requiring you to make extensive, reflective use of several representative interactive media. You will also read several representativ
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Uniform Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from the uniform distribution on the interval [0,a], and computes standard point estimates of a. The bias and mean square error are also computed.
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Sample Mean Experiment
The resource consists of a Java applet and expository text. The applet illustrates the distribution of the sample mean of a random sample from a given distribution. The sample size and the sampling distribution can be specified. The applet illustrates the central limit theorem.
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Probability Plot Experiment
This resource consists of a Java applet and Expository text. The applet simulates the probability plot that compares the empirical quantiles of a sample from a sampling distribution to the distribution quantiles of a test distribution. The sampling distribution, test distribution, and sample size can be specified.
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Pareto Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from a Pareto distribution, and computes standard point estimates of the shape parameter. The bias and mean square error are also computed.
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Order Statistic Experiment
This resource consists of a Java applet and expository text. The applet simulates the order statistics of a random sample from a given distribution. The sample size, order, and sampling distribution can be specified.
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Normal Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from a normal distribution, and computes standard point estimates of the distribution mean and standard deviation. The bias and mean square error are also computed.
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Interactive Scatterplot
This resource consists of a Java applet and expository text. The applet allows the user to construct a scatterplot by clicking on a graph to generate the bivariate data. The means, standard deviations, correlation, and the regression line are shown.
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Interactive Histogram with Error Graph
This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The graph of an error function is shown, either mean square error or mean absolute error.
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Interactive Histogram
This resource consists of a Java applet and expository text. The applet allows the user to construct a histogram by clicking on a number line to generate the sample data. The class width can be varied and various summary statistics can be displayed.
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Gamma Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from a gamma distribution, and computes standard point estimates of the shape and scale parameters. The bias and mean square error are also computed.
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Beta Estimate Experiment
This resource consists of a Java applet and expository text. The applet simulates a random sample from a beta distribution, and computes standard point estimates of the left and right parameters. The bias and mean square error are also computed.
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Beta Coin Experiment
This resource consists of a Java applet and expository text. The applet illustrates Bayesian estimation of the probability of heads for a coin. The prior beta distribution, true probability of heads, and the sample size can be specified. The applet shows the posterior beta distribution.
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Voter Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the voter experiment, an interacting partile system that consists of a rectangular array of sites. At each discrete time unit, a site is chosen at random, a neighboring site is chosen, and the color of the first site is changed to that of the neighbor. The applet illustrates clustering of the colors and convergence to consensus.
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Venn Diagram Applet
This resource consists of a JavaScript applet and expository text. The applet is an interactive illustration of the 16 sets that can be constructed from two given sets using the operations of union, intersection, and complement.
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Random Variable Experiment
This resource consists of a Java applet and expository text. The applet simulates a number of probability distributions, including the normal, gamma, chi-square, student t, beta, Pareto, F, extreme value, Weibull, logistic, and lognormal distributions.
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Quantile Applet
This resource consists of a Java applet and expository text. The applet shows cumulative probabilities and corresponding quantiles for a variety of distributions, including the normal, gamma, chi-square, student t, F, Weibull, beta, Pareto, logistic, lognormal, and extreme value.
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Galton Board Game
This resource consists of a Java applet and expository text. The applet illustrates the Galton board in which a ball falls through a triangular array of pegs. Various combinatorial ideas are illustrated, including combinations, bit strings, and binomial coefficients.
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Fire Experiment
This resource consists of a Java applet and expository text. The applet is a simulation of the fire process, an interacting particle system consisting of a rectangular lattice of "trees". At each discrete time unit, each tree is either on green, on fire, or burnt. A tree on fire at a given time can catch neighboring trees on fire at the next time unit. The probabilities of fire spread can be varied.
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