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Product No. 8048 Video and Guides Price: $59.99

Casting Your Ballots: Elections (DVD/CD-ROM Package)

Mathematics Topic:
Application Areas:
Voting, Election, Political

The power to elect officials is the power to change the world , but the mathematics of voting extends far beyond the notion of majority-rule.
This election year, use COMAP materials to explore this fascinating process with your students. The candidate with the most votes wins an election. Simple, right? Wrong. The whole story has as much to do with voting methods as voting numbers.
Casting Your Ballots: Elections is a new multi-media tool from COMAP that allows students to make connections to current events.
Both CD-ROM and DVD components contain materials that help students address complex questions that are a very real part of our political system.

• How can different candidates win the same election, depending on which voting method is used? Students examine methods such as Borda, Condorcet, and plurality with runoff.
• How does mathematics define fairness? Can an election process be totally fair?
• What is power? Explore the notion of “dummies,” the Banzhaf index, coalitions, and how apparently equitable systems can easily turn out to be lopsided and unfair.
As the elections progress and dominate the headlines, students will have a deep understanding of what is happening in the world around them.

Modules Included on The CD-ROM

The Mathematical Theory of Elections

Fair Voting - Weighted Votes for Unequal Constituencies

The Apportionment Problem: The Search for the Perfect Democracy

The 1992 Election... Mathematics?

Fairness and Apportionment I

Fairness and Apportionment II

Bonus Material

Application of Voting Theory to Congress

Decision Analysis for Multicandidate Voting Systems

Exponential Models of Legislative Turnover

Public Support for Presidents I

Public Support for Presidents II

Voting Games, Power Indices, and Presidential Elections

Methods of Congressional Apportionment

Measures of Voting Unit I: The Rice Index

Probability in a Contested Election

DVD Contents

The Impossible Dream: Election Theory (30 minutes)

Five voting methods—plurality, plurality with runoff, Condorcet, Borda, and sequential runoff voting— are explained. An explanation of Nobelist Kenneth Arrow's theorem on voting theory is also featured.

More Equal than Others: Weighted Voting (30 minutes)

Fair representation issues are discussed, and fair division and apportionment problems are described. Weighted voting and winning coalitions are also explained.

Video guides and exercises for these videos are included on the CD-ROM.