Electoral math units
Date: 6/16/96 at 14:15:21 From: Kathleen Cushman Subject: Electoral math units Any suggestions for units on electoral math, for use with students in grades 7-9, with plenty of entry points for both beginning and advanced students? We want to tie in with the fall elections.
Date: 6/21/96 at 21:40:13 From: Doctor Jodi Subject: Re: Electoral math units Hello! The homepage for the Newton's Apple segment on probability and polling is at http://ericir.syr.edu/Projects/Newton/10/lessons/polls.html Finding an electoral math unit might prove a bit more difficult, but perhaps you could put one together using some pre-made materials and adding in your own? If so, you might be interested in Program 1003 of Newton's Apple: Election polls and surveys (Program 1003); Specifications: 1 videocassette (VHS, 30 min.) : sound, color ; 1/2 in. Availability: As of: 1996 Great Plains National (distributor) P.O. Box 80669 Lincoln, NB 68501 Telephone no.: 402/472-2007 Toll-free no.: 800/228-4630 FAX no.: 402/472-4076 Email: firstname.lastname@example.org 1 videocassette: ; Order no.: 1002 ; $34.95 ; 1 teacher's guide: ; $21.95 Funding: 3M Notes: The accompanying teacher's guide (approximately 285 pages, spiral-bound: illustrated ; 28 cm.) covers Seasons 9 through 12. Please note that Program numbers correspond to season and program. For example, Program 906 is the sixth program in the ninth season. ENC has two copies of the teacher's guide which are cataloged with Program 901, ENC-005949. --------------------- There's also a book with a chapter on election theory: ENC Number: ENC-002733 Record status: Complete record. 10/19/95 Title: Discrete mathematics through applications [Print Materials] Author: Nancy Crisler, Patience Fisher, and Gary Froelich Date: c1994 Publisher: New York, NY : W.H. Freeman and Company Grade Level: 9,10,11,12 Resource Type: Activities Print materials Textbooks Language: English Standards: I. NCTM Standards (1989). I.C. Content Standards: Grades 9-12 I.C.12. Discrete mathematics. Subjects: Discrete math. Graphing. Mathematical applications. Mathematics. Matrices. Probability. Recursion. Abstract: This text introduces students to applications in discrete mathematics. The text provides an introduction to social choice, to matrices and their uses, to graph theory and its applications, and to counting and finite probability. It introduces students to the processes of optimization, existence, and algorithm construction. The initial treatment of a topic usually consists of an investigation or EXPLORE THIS problem or lesson. The lessons are written in an informal style, designed to be read by the student. There are few formal definitions or other formal treatments of mathematical topics. The exercises often contain new ideas; in most cases, students are expected to do all the exercises. (AM) Contents: Preface Foreword by John Dossey Election theory An election activity; Group ranking methods and algorithms; More group ranking methods and paradoxes; Arrow's conditions and approval voting; Weighted voting and voting power; Chapter review Fair division A fair division activity; Estate division; Apportionment algorithms; More apportionment algorithms and paradoxes; Fair division algorithms, the continuous case; Mathematical induction, Chapter review Matrix operations and applications Addition and subtraction of matrices; Multiplication of matrices, parts 1 and 2; Population growth, the Leslie model, parts 1 and 2; Chapter review Graphs and their applications Modeling projects; Critical paths; The vocabulary and representations of graphs; Euler circuits and paths; Hamiltonian circuits and paths; Graph coloring; Chapter review More graphs, subgraphs and trees Planarity and coloring; The traveling salesperson problem; Shortest route problems; Trees and their properties; Minimum spanning trees; Binary trees, expression trees, and traversals; Chapter review Counting and probability A counting activity; Counting techniques, parts 1 and 2; Probability, parts 1 and 2; Chapter review Matrices revisited The Leontief input output model, parts 1 and 2; Markov chains; Game theory, parts 1 and 2; Chapter review Recursion Introduction to recursive thinking; Finite differences; Arithmetic and geometric recursion; Mixed recursion, parts 1 and 2; Cobweb diagrams; Chapter review Selected answers to the exercises Answers to the chapter review exercises Sources of illustrations Index. Specifications: xiv, 524 pages : illustrated, some color ; 24 cm. Availability: As of: 1994 W.H. Freeman and Company (publisher) 4419 West 1980 South Salt Lake City, UT 84104 Telephone no.: 801/973-4660 Toll free no.: 800/877-5351, ext. 140 FAX no.: 801/977-9712 NOTE: An Instructor's manual, software and videos are also available to supplement this text. Contact the publisher for further information. 1 text: ; ISBN 0-7167-2577-0 ; $35.95 Funding: Consortium for Mathematics and its Applications (COMAP). Source Note: Gift of W.H. Freeman and Company. Added Entries: Crisler, Nancy Fisher, Patience Froelich, Gary Consortium for Mathematics and Its Applications (COMAP). (Funding source) W.H. Freeman and Company. (Publisher) ------ Both of these entries came from the ENC database http://enc.org ; there was also a careers-in-mathematics video series with a discussion of the use of statistics in elections. I hope this helps - let us know how it goes. Thanks for thinking of us! -Doctor Jodi, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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