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The Prisoner's Dilemma: Introducing Game Theory
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Shaw, Doug J.; Miller, Catherine M. – Mathematics Teacher, 2015
Since 1950, the Prisoner's Dilemma has intrigued economists and amused fans of mathematics. It presents a situation in which two players acting to their own advantage do not do as well together as two players whose actions oppose their individual interests--hence, the dilemma. Variations of the Prisoner's Dilemma have appeared in diverse…
Descriptors: Game Theory, Mathematics Education, Mathematics Activities, Mathematical Logic
Geometric Reasoning about a Circle Problem
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Gonzalez, Gloriana; DeJarnette, Anna F. – Mathematics Teacher, 2013
What does problem-based instruction do for students and teachers? The open-ended geometry problem presented in this article, along with examples of students' work on the problem, illustrates how problem-based instruction can help students develop their mathematical proficiency. Recent studies have shown that students who experience problem-based…
Descriptors: Mathematical Logic, Mathematics Instruction, Geometry, Geometric Concepts
Students as Mathematics Consultants
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Jensen, Jennifer L. – Mathematics Teacher, 2013
If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…
Descriptors: Consultants, Mathematics Education, Student Projects, Algebra
Power Indices and U.S. Presidential Elections
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Colen, Yong S.; Navaratna, Channa; Colen, Jung; Kim, Jinho – Mathematics Teacher, 2012
The 2012 U.S. presidential election is the perfect opportunity to present a timely civics lesson on how a U.S. president is elected. More important, it offers opportunities for students to reason mathematically about election issues--for example, about how much time and resources the candidates should invest in particular states. The results of…
Descriptors: Voting, Elections, Political Campaigns, Problem Based Learning
Redefining a Model
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Hodges, Thomas E. – Mathematics Teacher, 2007
This article describes an alternate way to utilize a circular model to represent thirds by incorporating areas of circular segments, trigonometric functions, and geometric transformations. This method is appropriate for students studying geometry and trigonometry at the high shool level. This task provides valuable learning experiences that…
Descriptors: Geometric Concepts, Trigonometry, Mathematics Activities, Mathematical Models
Put Some POW in Your First-Year Algebra Classes.
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Frank, Martha L. – Mathematics Teacher, 1991
The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)
Descriptors: Algebra, Class Activities, Classroom Techniques, Instructional Effectiveness