Connected Mathematics: ProbLab A Suite of Models for Experiencing and Relating Micro and Macro Perspectives of Probability

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The ProbLab models and construction activities provide contexts for learning central concepts of probability and statistics. Students explore the models, guided by structured experiments and riddles. Also, students develop basic orientation in programming environments by modifying code so as better to suit their experiments. Click on these links to interact with on-line versions of these models.

Central Limit Theorem : Population distributions, sample-mean distributions

Combinations Tower : Classroom collaborative combinatorics construction [This link does not contain an interactive model]

Dice : Empirical probability with a familiar object

Dice Stalagmite : One die, two dice, and outcome distributions (now also available as a HubNet PSA)

Equidistant Probability : Connecting geometry and stochastics

Expected Value : Supplementing simple empirical-probability simulations with 'worth'

Expected Value Advanced : Supplementing simple empirical-probability simulations with 'worth,' varying the sample size

9-Block Stalagmite : Bridging combinatorial sample space and distribution of empirical outcomes

9-Block Stalagmite Solo : Companion to Sample Stalagmite for building combinatorial-analysis strategies

9-Blocks : Single and compound events as complementary perspectives on combinatorial sample space

Partition Permutation Distribution : Frequencies of possible addends of given totals

Probability Graphs Basic : Three data-analysis perspectives on a randomly generated string of simple data

ProbLab Genetics : Demonstrates some connections between probability and the natural sciences

Random Basic : Playground for exploring fundamental concepts of chance

Random Basic Advanced : Exploring the effect of sample space and size on outcome distribution

Random Combinations and Permutations : Create a combination of color or dice and search for its permutations

S.A.M.P.L.E.R. : A HubNet participatory simulation in statistics

Shuffle Board : Fresh visual metaphor to explore 'waiting time' and 'streaks of success'

Stochastic Patchwork : Normal distribution as macro perspective on micro chance

The ProbLab models themselves can be downloaded or viewed here.
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[last updated July 8, 2005]

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