This is a GeoGebra applet which allows users to simulate dice rolls and visualize the average value of the die as a function of the number of rolls.
Type of Material:
Simulation
Recommended Uses:
Individual exploration, in-class demonstration. Self-guided study/review, self-paced and individual student practice. As well, for anyone who is doing statistical research.
Technical Requirements:
Any browser
Identify Major Learning Goals:
The purpose of this site is to allow users to visualize that the average value of a series of trials will converge to the expected value. In this case, each trial is a single roll of a die. And the use of the law of large numbers that states the average result from a series of trials will converge to the expected value
Target Student Population:
High School, College Lower Division
Prerequisite Knowledge or Skills:
Elementary Statistics, Finite Mathematics
Content Quality
Rating:
Strengths:
The purpose of this site is to allow users to visualize that the average value of a series of trials will converge to the expected value by simulating multiple trials of a single roll of a fair die. Users can click a button to complete one trial a time or they may use the “simulation” button to allow the trials to repeat automatically. After each trial, the graph of the average value as a function the number of trials is updated. Users can change the theoretical probability of rolling each value to change the expected value.
Potential Effectiveness as a Teaching Tool
Rating:
Strengths:
This would be a great visual tool for in-class demonstrations or as a hands-on activity which could be completed individually or in groups.
Concerns:
This site might be improved by including a set of exploratory questions.
Ease of Use for Both Students and Faculty
Rating:
Strengths:
This simulation is highly interactive, visually appealing, and easy to use. It is engaging.
Concerns:
An ad does appear at the bottom of the page, but it can be closed. Hence, it is not distracting.
Creative Commons:
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