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

著者: Brian Hopkins; Mathematical Association of America.
出版商: Washington, D.C. : Mathematical Association of America, ©2009.
丛书: MAA notes, no. 74.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
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类型/形式: Electronic books
附加的形体格式: Print version:
Resources for teaching discrete mathematics.
Washington, D.C. : Mathematical Association of America, c2009
(DLC) 2008941993
(OCoLC)290459707
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Brian Hopkins; Mathematical Association of America.
ISBN: 9780883859742 0883859742
OCLC号码: 796676651
描述: 1 online resource (xiv, 323 p.) : ill.
内容: pt. 1. 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 --
pt. 2. 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 --
pt. 3. 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 --
pt. 4. 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.
丛书名: MAA notes, no. 74.
责任: edited by Brian Hopkins.

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schema:description"pt. 1. 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 -- pt. 2. 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 -- pt. 3. 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 -- pt. 4. 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."
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