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Resources for teaching discrete mathematics : classroom projects, history modules, and articles

Author: Brian Hopkins; Mathematical Association of America,
Publisher: [Washington, D.C.] : The Mathematical Association of America, [2009] ©2009
Series: MAA notes, no. 74.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Resources for teaching discrete mathematics.
Washington, D.C. : Mathematical Association of America, c2009
(DLC) 2008941993
(OCoLC)290459707
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Brian Hopkins; Mathematical Association of America,
ISBN: 9780883859742 0883859742
OCLC Number: 796676651
Description: 1 online resource (xiv, 323 pages) : illustrations.
Contents: I. Classroom-tested projects. The game of "Take Away" / Mark MacLean --
Pile splitting problem: introducing strong induction / Bill Marion --
Generalizing Pascal: the Euler Triangles / Sandy Norman and Betty Travis --
Coloring and counting rectangles on the board / Michael A. Jones and Mika Munakata --
Fun and games with squares and planes / Maureen T. Carroll and Steven T. Dougherty --
Exploring recursion with the Josephus Problem: (or how to play "One Potato, Two Potato" for keeps) / Douglas E. Ensley and James E. Hamblin --
Using trains to model recurrence relations / Benjamin Sinwell --
Codon classes / Brian Hopkins --
How to change coins, M&M's, or chicken nuggets: the linear Diophantine problem of Frobenius / Matthias Beck --
Calculator activities for a discrete mathematics course / Jean M. Horn and Toni T. Robertson --
Bulgarian solitaire / Suzanne Dorée --
Can you make the geodesic dome? / Andrew Felt and Linda Lesniak --
Exploring polyhedra and discovering Euler's Formula / Leah Wrenn Berman and Gordon Williams --
Further explorations with the Towers of Hanoi / John Stadler --
The two color theorem / David Hunter --
Counting perfect matchings and benzenoids / Fred J. Rispoli --
Exploring data compression via binary trees / Mark Daniel Ward --
A problem in typography / Larry E. Thomas --
Graph complexity / Michael Orrison --
II. Historical projects in discrete mathematics and computer science. Introduction / Janet Barnett ... [et al.] --
Binary arithmetic: from Leibniz to von Neumann / Jerry M. Lodder --
Arithmetic backwards from Shannon to the Chinese abacus / Jerry M. Lodder --
Pascal's treatise on the arithmetical triangle: mathematical induction, combinations, the binomial theorem and Fermat's theorem / David Pengelley --
Early writings on graph theory: Euler circuits and the Königsberg bridge problem / Janet Heine Barnett --
Counting triangulations of a convex polygon / Desh Ranjan --
Early writings on graph theory: Hamiltonian circuits and the Icosian Game / Janet Heine Barnett --
Are all infinities created equal? / Guram Bezhanishvili --
Early writings on graph theory: topological connections / Janet Heine Barnett --
A study of logic and programming via Turing machines / Jerry M. Lodder --
Church's thesis / Guram Bezhanishvili --
Two-way deterministic finite automata / Hing Leung --
III. Articles extending discrete mathematics content. A rabbi, three sums, and three problems / Shai Simonson --
Storing graphs in computer memory / Larry E. Thomas --
Inclusion-exclusion and the topology of partially ordered sets / Eric Gottlieb --
IV. Articles on discrete mathematics pedagogy. Guided group discovery in a discrete mathematics course for mathematics majors / Mary E. Flahive --
The use of logic in teaching proof / Susanna S. Epp.
Series Title: MAA notes, no. 74.
Responsibility: edited by Brian Hopkins.

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