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sábado, 28 de julho de 2012

The Mathematical Collage


Ronald Staszkow, Robert Bradshaw 

Custom Publishing | 2006 | 

Versão draft

online: ohlone.edu (capítulos)

PDF
ohlone.edu (link direto)

The Mathematical Collage has been written to meet an Associate Degree general education requirement of a mathematics course with a Beginning Algebra prerequisite. The text shows that mathematics is alive in today's world and helps students see the beauty and power of mathematics. Its contents consists of chapters on the lore of numbers, finance matters, measurement geometry and trigonometry, probability and statistics, and math in sports, It also includes Mathematical Excursions, short trips into various areas where mathematics is used, such as math and the tourist, math and the internet, math and voting, math and nursing, math and the automobile, math and cooking, math and the angler, math and the World Series of Poker.

quinta-feira, 26 de julho de 2012

Complex Numbers from A to ...Z

Titu Andreescu , Dorin Andrica

Birkhäuser Boston | 2006 | 321 páginas

online: archive.org

PDF - 3 Mb
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It is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.

segunda-feira, 16 de julho de 2012

Reform in School Mathematics and Authentic Assessment



(SUNY Series, Reform in Mathematics Education)

Thomas A. Romberg

State University of New York Press | 1995 | 299 páginas | PDF | 2,29 Mb

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ERIC (13,2 MB)


This volume is concerned with the alignment between the way the mathematical performance of students is assessed and the reform agenda in school mathematics. The chapters in this book have been prepared to raise a set of issues that scholars are addressing during this period of transition from traditional schooling practices toward the reform vision of school mathematics. Chapters are: (1) "Issues Related to the Development of an Authentic Assessment System for School Mathematics" (T. A. Romberg and L. D. Wilson), (2) "A Framework for Authentic Assessment in Mathematics" (S. P. Lajoie), (3) "Sources of Assessment Information for Instructional Guidance in Mathematics" (E. A. Silver and P. A. Kenney), (4) "Assessment: No Change without Problems" (J. De Lange), (5) "The Invalidity of Standardized Testing for Measuring Mathematics Achievement" (R. E. Stake), (6) "Assessment Nets: An Alternative Approach to Assessment in Mathematics Achievement" (M. Wilson), and (7) "Connecting Visions of Authentic Assessment to the Realities of Educational Practice


Contents
Preface vii
1 Issues Related to the Development of an Authentic Assessment System for School Mathematics
THOMAS A. ROMBERG AND LINDA D. WILSON

2 A Framework for Authentic Assessment in Mathematics
SUSANNE P. LAJOIE

3 Sources of Assessment Information for Instructional Guidance in Mathematics
EDWARD A. SILVER AND PATRICIA ANN KENNEY

4 Assessment: No Change without Problems
JAN DE LANGE

5 The Invalidity of Standardized Testing for Measuring Mathematics Achievement
ROBERT E. STAKE

6 Assessment Nets: An Alternative Approach to Assessment in Mathematics Achievement
MARK WILSON

7 Connecting Visions of Authentic Assessment to the Realities of Educational Practice
M. ELIZABETH GRAUE

Contributors 277
Index

segunda-feira, 9 de julho de 2012

Curves and Their Properties



(NCTM Classics in Mathematics Education A Series, Volume 4)

Robert C. Yates

National Council of Teachers of Mathematics | 1974 (reimpressão de 1952) | djvu | 2,6 Mb

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eric.ed.gov (link direto)

This volume, a reprinting of a classic first published in 1952, presents detailed discussions of 26 curves or families of curves, and 17 analytic systems of curves. For each curve the author provides a historical note, a sketch or sketches, a description of the curve, a discussion of pertinent facts, and a bibliography. Depending upon the curve, the discussion may cover defining equations, relationships with other curves (identities, derivatives, integrals), series representations, metrical properties, properties of tangents and normals, applications of the curve in physical or statistical sciences, and other relevant information. The curves described range from the familiar conic sections and trigonometric functions through the less well known Deltoid, Kieroid and Witch of Agnesi. Curve related systems described include envelopes, evolutes and pedal curves. A section on curve sketching in the coordinate plane is included.

A Handbook on Curves and their Properties (1947)

online: archive.org

sábado, 7 de julho de 2012

Mathematics Counts: Report of the Committee of Inquiry into the Teaching of Mathematics in Schools


Dept.of Education & Science 

1982 |  328 páginas



domingo, 1 de julho de 2012

Math in Society



David Lippman


DL, LuLu | 2011 | 215 páginas | PDF | 5 Mb

online :  dlippman.imathas.com

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A survey of math for liberal arts majors. This book is a survey of contemporary mathematical topics: voting theory, weighted voting, fair division, graph theory, scheduling, growth models, finance math, statistics, and historical counting systems. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation.

The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. 
Emphasis is placed on the applicability of the mathematics. 

Contents
Voting Theory
Weighted Voting
Fair Division
Graph Theory
Scheduling 
Growth Models
Finance 
Statistics
Describing Data by David Lippman, Jeff Eldridge
Historical Counting Systems by Lawrence Morales
Solutions to Selected Exercises

quinta-feira, 28 de junho de 2012

Geometric Exercises in Paper Folding


Sundara T. Row 

Chicago, The Open Court pub. co | 1917

online: archive.org

online: chestofbooks.com (html)

PDF

arvindguptatoys.com (link direto)

The idea of this book was suggested to me by Kindergarten Gift No. VIII. - Paper-folding. The gift consists of two hundred variously colored squares of paper, a folder, and diagrams and instructions for folding. The paper is colored and glazed on one side. The paper may, however, be of self-color, alike on both sides. In fact, any paper of moderate thickness will answer the purpose, but colored paper shows the creases better, and is more attractive. The kindergarten gift is sold by any dealers in school supplies ; but colored paper of both sorts can be had from stationery dealers. Any sheet of paper can be cut into a square as explained in the opening articles of this book, but it is neat and convenient to have the squares ready cut.