The Historical Roots of Elementary Mathematics

(Dover books explaining science)
Lucas N. H. Bunt, Phillip S. Jones, Jack D. Bedient
Dover Publications | 1988 | 320 páginas | djvu | 5 Mb

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Descrição: Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems, by examining their origins in early Egyptian, Babylonian and Greek sources. Students can do division like the ancient Egyptians, solve quadratic equations like the Babylonians and more.

Aha! Solutions

(MAA Problem Book Series)

Martin J. Erickson
(página do autor: erickson.sites.truman.edu)

The Mathematical Association of America | 2008 | 207 páginas | rar - PDF |  1,2 Mb

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Descrição: Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called ``aha! solutions,'' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics.This book is a collection of problems with aha! solutions. The problems are at the level of the college mathematics student, but there should be something of interest for the high school student, the teacher of mathematics, the ``math fan,'' and anyone else who loves mathematical challenges.This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the bonus discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions. If you don't remember a mathematical definition or concept, there is a Toolkit in the back of the book that will help.

Contents

Preface
1 Elementary Problems
2 Intermediate Problems
3 Advanced Problems
A Toolkit
B List of Bonuses
Bibliography
Index

Outros livros do mesmo autor:

Beautiful Mathematics
Principles of Mathematical Problem Solving

Sherlock Holmes in Babylon and Other Tales of Mathematical History

(Spectrum)
Victor Katz, Robin Wilson

The Mathematical Association of America | 2004 | 398 páginas | pdf | 7
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Descrição: This book is a collection of 44 articles on the history of mathematics, published in MAA journals over the past 100 years. Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, it chronicles the enormous changes in mathematical thinking over this time, as viewed by distinguished historians of mathematics from the past (Florian Cajori, Max Dehn, David Eugene Smith, Julian Lowell Coolidge and Carl Boyer) and the present.Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included, to show how knowledge and vies about the topic changed over the years.This book will be enjoyed by anyone interested in mathematics and its history – and in particular by mathematics teachers at secondary, college, and university level.

Teaching Mathematical Reasoning in Secondary School Classrooms

(Mathematics Teacher Education)

Karin Brodie

Springer | 2009 | 225 páginas |  pdf | 2,39 Mb

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Descrição: For too many students, mathematics consists of facts in a vacuum, to be memorized because the instructor says so, and to be forgotten when the course of study is completed. In this all-too-common scenario, young learners often miss the chance to develop skills—specifically, reasoning skills—that can serve them for a lifetime. The elegant pages of Teaching Mathematical Reasoning in Secondary School Classrooms propose a more positive solution by presenting a reasoning- and discussion-based approach to teaching mathematics, emphasizing the connections between ideas, or why math works. The teachers whose work forms the basis of the book create a powerful record of methods, interactions, and decisions (including dealing with challenges and impasses) involving this elusive topic. And because this approach shifts the locus of authority from the instructor to mathematics itself, students gain a system of knowledge that they can apply not only to discrete tasks relating to numbers, but also to the larger world of people and the humanities.A sampling of the topics covered:Whole-class discussion methods for teaching mathematics reasoning.Learning mathematical reasoning through tasks.Teaching mathematics using the five strands.Classroom strategies for promoting mathematical reasoning.Maximizing student contributions in the classroom.Overcoming student resistance to mathematical conversations.Teaching Mathematical Reasoning in Secondary School Classrooms makes a wealth of cutting-edge strategies available to mathematics teachers and teacher educators. This book is an invaluable resource for researchers in mathematics and curriculum reform and of great interest to teacher educators and teachers.

Brown Paper School book: Math for Smarty Pants

Marilyn Burns

Little, Brown Young Readers | 1982 | 128 páginas | pdf | 5 Mb

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Descrição: Chock full of entertaining mathematical ideas, puzzles, tricks, and word problems, this book proves that everyone can be a math whiz.

1001 uses of the hundred square: Activities and ideas for teaching mathematics

Leah Mildred Beardsley


Parker Pub. Co | 1973 | 240 páginas | pdfon-line: vidyaonline.net

Geometry for Every Kid

Janice VanCleave

Pustak Mahal | 1995 | 224 páginas | pdf | 1,9 Mb

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Descrição: This book uses simple problems, and activities to let the kids feel comfortable with geometry.

Each activity is broken down into step-by-step instructions, expected results and explanations, that kids can understand. All could be performed safely and cheaply in the classroom or at home.