Reconceiving Mathematics Instruction: A Focus on Errors

(Issues in Curriculum Theory, Policy, and Research)
Raffaella Borasi

Praeger | 1996 | 321 páginas |

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Descrição: As dissatisfaction with the current status of school mathematics grows worldwide, educators and professionals alike are calling for reforms and instructional changes. Yet, significant changes can only be achieved if each educator of school mathematics personally rethinks various aspects of mathematics instruction, and identifies concrete ways in which their current practice could be modified. Before such visions can be meaningfully implemented in classrooms, it is important that mathematics teachers and educators examine critically both the assumptions and implications of the vision for school mathematics that the reports propose. This book is intended to support educators in such a challenging enterprise by focusing attention on "errors" and their use in mathematics instruction. Throughout the book, an approach to errors as opportunities for learning and inquiry will be developed and employed both as a means to create the kinds of instructional experiences advocated for school mathematics reform, and as a heuristic to invite reflections about school mathematics as well as mathematics as a discipline. REVIEWS: "...Raffaella Borasi's newest book offers important contributions to the current debate on school mathematics reform." - Journal for Research in Mathematics Education "There are some great bits of philosophy in this book..." - Mathematics Teaching

Calculation vs. Context: Quantitative Literacy and Its Implications for Teacher Education

June 22-24, 2007 Wingspread Conference Center Racine, Wisconsin
Lynn Arthur Steen

Mathematical Association of America | 2008 | 197 páginas

on-line: maa.org

maa.org (pdf -livro inteiro)

Essays on Mathematical Education

George St. Lawrence Carson

Kessinger Publishing, LLC | 1913 | 152 páginas

on-line: archive.org

Games of no Chance 3

(Mathematical Sciences Research Institute Publications)
By Michael H. Albert, Richard J. Nowakowski

Cambridge University Press | 2009 | 576 páginas |  pdf


online (em capítulos) :library.msri.org

Descrição: his fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.

Robert Of Chester's Latin Translation Of The Algebra Of Al-Khowarizmi

Robert Of Chester's Latin Translation Of The Algebra Of Al-Khowarizmi
Al-Khowarizmi

Kessinger Publishing, LLC | 2009 | 194 páginas | rar - pdf | 4,34 Mb

on-line: archive.org

O fracasso da Matemática Moderna

O fracasso da Matemática Moderna
Morris Kline
(em português)

Ibrasa | 1976 | 211 páginas | rar - pdf |35,12 Mb

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Why Johnny Can't Add: The Failure of the New Math
Morris Kline
(em inglês)

Random House Inc | 1974 | 208 páginas

online: marco-learningsystems.com

Boxes, Squares and Other Things

A Teacher's Guide for a Unit in Informal Geometry

Marion I. Walter

National Council of Teachers of Mathematics | 1970 | pdf | 2,6 Mb

on-line: eric.ed.gov

Descrição: This unit describes an experience in informal geometry that is based on work with construction paper and milk cartons. The description is mostly of work actually carried out by children in the elementary grades involving such mathematical concepts as congruence, symmetry, the idea of a geometric transformation, and some basic notions of elementary group theory. The purposes of the unit are (1) to give students experience in visualizing two and three dimensional objects, and (2) to give students opportunity to learn to raise questions, pose problems, and learn to solve them.

On The Study And Difficulties of Mathematics

Augustus De Morgan

on-line: archive.org (The Open Court Publishing Company, 1910)

Kessinger Publishing | 2004 | 300 páginas

Descrição: 1910. Augustus De Morgan was an important innovator in the field of logic. In addition, he made many contributions to the field of mathematics and the chronicling of the history of mathematics. He writes in the Preface that his object has been to notice particularly several points in the principles of algebra and geometry, which have not obtained their due importance in our elementary works on these sciences. Contents: On Arithmetical Notation; Elementary Rules of Arithmetic; Arithmetical Fractions; Decimal Fractions; Algebraical Notation and Principles; Elementary Rules of Algebra; Equations of the First Degree; On the Negative Sign, etc.; Equations of the Second Degree; On Roots in General, and Logarithms; On the Study of Algebra; On the Definitions of Geometry; On Geometrical Reasoning; On Axioms; On Proportion; and Application of Algebra to the Measurement of Lines, Angles, Proportion of Figures and Surfaces. See other titles by this author available from Kessinger Publishing.

The History of the Calculus and Its Conceptual Development

Carl B. Boyer

Dover Publications | 1949 | 368 páginas |

online: archive.org

Fluent description of the development of both the integral and differential calculus. Early beginnings in antiquity, Medieval contributions and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

Literacia Quantitativa

Quantitative literacy. Why literacy matters for schools and colleges.
Proceedings of the National Forum on Quantitative Literacy held at the National Academy of Sciences in Washington, D.C. on December 1-2, 2001.
Bernard L. Madison e Lynn Arthur Steen, Editors

National Council on Education and the Disciplines | 2003

on-line: maa.org (em capítulos)
maa.org (o livro num único pdf)

ifile.it (pdf | 3,7 Mb)

Mathematics and democracy. The case for quantitative literacy

Lynn Arthur Steen

The National Council on Education and the Discipline | 2001

on-line: maa.org (em capítulos)
maa.org (o livro num único pdf)

Capítulos:
Preface: Mathematics, Numeracy, and Democracy
Robert Orrill
The Case for Quantitative Literacy
The Quantitative Literacy Design Team
The Emergence of Numeracy
Patricia Cline Cohen
Connecting Mathematics with Reason
Joan L. Richards
Numeracy, Mathematics, and General Education
An Interview with Peter T. Ewell
Reflections on an Impoverished Education
Alan H. Schoenfeld
The Emperor’s Vanishing Clothes
Dan Kennedy
Numerical Common Sense for All
Wade Ellis, Jr.
Mathematics and Numeracy: Mutual Reinforcement
Alfred B. Manaster
Connecting Theory and Practice
An Interview with James H. Stith
Quantitative Literacy for the Next Generation
Zalman Usiskin
Encouraging Progressive Pedagogy
Larry Cuban
Achieving Numeracy:The Challenge of Implementation
Deborah Hughes-Hallett
Setting Greater Expectations for Quantitative Learning
Carol Geary Schneider
Epilogue: Embracing Numeracy
Lynn Arthur Steen

A Philosophical Essay on Probabilities

Marquis de Laplace

Chapman & Hall | 1902 |

on-line: archive.org


Descrição: This classic introduces the concepts and uses of probability theory. It demonstrates, without the use of higher mathematics, the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas. It also shows how scientists can express complex ideas in simple terms.

Games, Gods and Gambling: the Origins and History of Probability and Statistical Ideas From the Earliest Times to the Newtonian Era

F. N David

Hafner Publishing Company | 1962 | 275 páginas | rar - pdf | 7,57 Mb

on-line: dspace.ucalgary.ca


Descrição: The development of gambling techniques led to the beginning of modern statistics, and this absorbing history illustrates the science’s rise with vignettes from the lives of Galileo, Fermat, Pascal, and others. Fascinating allusions to the classics, archaeology, biography, poetry, and fiction endow this volume with universal appeal.

A concise history of mathematics

(2 vols)
Dirk J. Struik

Dover | 1948

Vol 1

online: archive.org

v. 1. The beginnings. The beginnings in western Europe

Vol 2

online:  archive.org

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The Mathematical Education of Primary-School Teachers / The Mathematical Education of secondary school teachers of mathematics

Robert W. Morris (editor)
Studies in Mathematics Education, Volume 3

UNESCO | 1984 | 258 páginas

online: unesdoc.unesco.org

Descrição: Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary trends. The third chapter discusses the importance of the student's everyday environment as a source of problems that command attention and as a framework within which mathematics can flourish. The fourth chapter considers what actually happens in the classroom. The fifth chapter focuses on implications of calculators and computers for primary school mathematics. The next four chapters are concerned with concepts, examining the origins of conceptual difficulties children experience in mathematics, aspects of visualization in teaching geometry, spatial ability and geometry teaching in Jamaica, and the working of story problems. The next five chapters are devoted to various aspects of pre- and in-service teacher education, including assessment strategies and a pre-service project in England. The last three chapters examine support programs, including the role of teacher associations, mathematics clubs in schools and colleges of education, and the work of the Institute de recherche sur l'enseignment des mathematiques (IREMs) in France.

The Mathematical Education of secondary school teachers of mathematics

Robert W. Morris (editor)
Studies in Mathematics Education, Volume 4

UNESCO | 1985 | 175 páginas

online: unesdoc.unesco.org

Probability and Statistics Professional Development Module for Elementary/Middle School Teachers:

A Staff Development Training Program to Implement the Virginia Standards of Learning The module is ritten by the Virginia Department of Education.

on-line: doe.virginia.gov

Descrição: This document introduces a staff development program designed to assist teachers in implementing the 2001 Virginia Standards of Learning for mathematics, and enhancing teachers’ content knowledge and their use of instructional strategies for teaching the probability and statistics Standards of Learning. Included in this document are a sample of meaningful and engaging explorations, problem solving, and hands-on experiences correlated to the probability and statistics strand of the grades K-5 and grades 6-8. These activities include instructional and implementation strategies for teachers, as well as training in ways to gather, represent, analyze and interpret data to guide instruction and classroom assessment.

Lady or the Tiger? And Other Logic Puzzles Including a Mathematical Novel That Features Godel's Great Discovery

Raymond M. Smullyan

Random House Puzzles & Games | 1992 | 240 páginas | PDF | 3,2 Mb

online: archive.org

The paperback reprint of Smullyan's most successful book of puzzles--a mind-bending, pleasurable romp through the world of logic. For all ages and all levels of difficulty, these puzzles range from those that can be solved in minutes to those that will beguile for hours.

The Nature and Role of Algebra in the K-14 Curriculum

Proceedings of a National Symposium
(Compass Series)
National Council of Teachers of Mathematics, Mathematical Sciences Education Board, National Research Council

National Academies Press | 1998 | 206 páginas

on-line: nap.edu

Methods of effectively teaching algebraic thinking in elementary schools as well as secondary schools is the topic of the following 19 papers. Papers include: (1) "Transforming Algebra from an Engine of Inequity to an Engine of Mathematical Power by 'Algebrafying' the K-12 Curriculum" (J. Kaput); (2) "Developing a Coherent and Focused K-12 Algebra Curriculum" (E. Phillips); (3) "Enhancing Algebraic Reasoning with Technology" (G. Akst); (4) "Algebra for Everyone? With or Without Technology?" (M. Norman); (5) "How Might Technology Enhance Algebraic Reasoning?" (R. Zbiek); (6) "What Do We Know about K-14 Students' Learning of Algebra?" (J. Confrey); (7) "Algebra: What All Students Can Learn" (S. Williams and D. Molina); (8) "Improving K-14 Algebra Instruction: A Discussion of Teachers' Responsibilities and Students' Opportunities" (B. Moore-Harris); (9) "Capturing Patterns and Functions: Variables and Joint Variation" (G. Lappan); (10) "Functions and Relations: A Unifying Theme for School Algebra in Grades 9-12" (C. Hirsch); (11) "Middle School Algebra from a Modeling Perspective" (G. Kleiman); (12) "Why Modeling Matters" (L. Godbold); (13) "Modeling: Changing the Mathematics Experience in Postsecondary Classrooms" (R. Dance); (14) "Algebraic Structure in the Mathematics of Elementary-School Children" (C. Tierney); (15) "Structure in School Algebra (Middle School)" (M. van Reeuwijk); (16) "The Role of Algebraic Structure in the Mathematics Curriculum of Grades 11-14" (G. Foley); (17) "Language and Representation in Algebra: A View from the Middle" (R. Billstein); (18) "Teaching Algebra: Lessons Learned by a Curriculum Developer" (D. Resek); and (19) "The Nature and Role of Algebra: Language and Representation" (D. Hughes Hallett). (ASK)

Foundations of Geometry

David Hilbert

Open Court Publishing Company | 1971 | 226 páginas


on-line: gutenberg.org
on-line: archive.org

A History Of The Mathematical Theory Of Probability

A history of the mathematical theory of probability: From The Time Of Pascal to that of Laplace
Todhunter

London : Macmillan | 1865 |

on-line: archive.org
gallica.bnf.fr
ia600305.us.archive.org

Kessinger Publishing, LLC | 2007 | 640 páginas | rar - djvu | 29 Mb

Descrição: A thorough and standard work in the field. Isaac Todhunter (1820-1884) gave a close and carefully reasoned account of the difficulties involved and the solutions offered by each investigator. His studies and use of source materials were thorough and fully documented. His reputation rests on the contribution he made to the history of mathematics.

Helping Children Learn Mathematics

Jeremy Kilpatrick, Jane Swafford

National Academies Press | 2002 | 52 páginas

on-line: nap.edu

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

High School Mathematics at Work: Essays and Examples for the Education of All Students

Mathematical Sciences Education Board, National Research Council

National Academies Press | 1998 | 192 páginas

on-line: books.nap.edu

PDF - 1,16 Mb

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This book is a collection of thought-provoking essays that frame basic issues, provide background, and suggest ways to strengthen the mathematical education of all students. The essays present ideas for making mathematical education meaningful for all students--how to meet the practical needs of students entering the work force after high school as well as the needs of those going on to postsecondary education. The essays take up issues such as: finding common ground between science and mathematics education standards and improving the articulation from school to work. High School Mathematics at Work provides thoughtful views from mathematicians, educators, and other experts, and identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future.

Mathematics Education in the Middle Grades: Teaching to Meet the Needs of Middle Grades Learners and to Maintain High Expectations

National Research Council, National Convocation on Mathematics Education in the Middle Grades

National Academy Press | 2000 | 270 páginas | pdf | 1,07 Mb

on-line: nap.edu

Bringing Out the Algebraic Character of Arithmetic: From Children’s Ideas to Classroom Practic

Analucia Dias Schliemann, David William Carraher, Barbara M. Brizuela,

Lawrence Erlbaum | 2006 | 144 páginas | pdf | 1,37 Mb

Versão draft

on-line: earlyalgebra.terc.edu

Referência em MathEdu

Bringing Out the Algebraic Character of Arithmetic contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it.

The authors regard Early Algebra not as accelerated instruction but as an approach to existing topics in the early mathematics curriculum that highlights their algebraic character. Each chapter shows young learners engaged in mathematics tasks where there has been a shift away from computations on specific amounts toward thinking about relations and functional dependencies. The authors show how young learners attempt to work with mathematical generalizations before they have learned formal algebraic notation.

The book, suitable as a text in undergraduate or graduate mathematics education courses, includes a CD-ROM with additional text and video footage on how students reason about addition and subtraction as functions; on how students understand multiplication when it is presented as a function; and on how children use notations in algebraic problems involving fractions. These three videopapers (written text with embedded video footage) present relevant discussions that help identify students' mathematical reasoning. The printed text in the book includes transcriptions of the video episodes in the CD-ROM.

Bringing Out the Algebraic Character of Arithmetic is aimed at researchers, practitioners, curriculum developers, policy makers and graduate students across the mathematics education community who wish to understand how young learners deal with algebra before they have learned about algebraic notation.

Contents: Preface: Rethinking Early Mathematics Education. Interpreting Research About Learning Algebra. Part I: Interview Studies. Young Children's Understanding of Equivalences. Can Young Students Solve Equations? Part II: Classroom Studies. Addition Operations as Functions. From Quantities to Ratio, Functions, and Algebraic Notation. On Children's Written Notation to Solve Problems. Discussion.

Geometry and Billiards

(Student Mathematical Library)
Serge Tabachnikov

American Mathematical Society | 2005 | 176 páginas | pdf | 1,1 Mb

math.psu.edu (link direto - versão draft)

Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards. The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincaré recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State. 

Sam Loyd's Cyclopedia of 5000 Puzzles

Sam Loyd

Corwin Books | 1976 | 384 páginas | zip | 39,95 Mb

on-line: mathpuzzle.com (imagens)
mathpuzzle.com (imagens em zip)

pdf - link direto

Sam Loyd was the all time greatest inventor and developer of puzzles. This is considered to be the most fabulous and exciting collection of puzzles ever assembled in one volume. The puzzles come with wonderful illustrations.

The Principles of Mathematics

Bertrand Russell

W. W. Norton & Company | 1996 | 534 páginas |

online: fair-use.org

University press | 1903

online: archive.org

PDF
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Learning from TIMSS: Results of the Third International Mathematics and Science Study, Summary of a Symposium

 (Compass Series)
National Research Council

National Academy Press | 1997 | 56 páginas | 127 kb

on-line: nap.edu

Global Perspectives for Local Action: Using TIMSS to Improve U.S. Mathematics and Science Education

Committee on Science Education K-12 and Mathematical Sciences Education Board, National Research Council

National Academies Press | 1999 | 102 páginas | 645 kb

on-line: nap.edu

The Third International Mathematics and Science Study (TIMSS) raised the alarm about U.S. mathematics and science education. Most Americans are now aware that U.S. students lag behind their peers in other developed nations. In one state, the legislature reacted by lengthening the school year, assuming that more time on academic content would boost student performance. Some educators have fixed the blame on the mathematics and science curricula typically used in U.S. schools.

Does the problem lie in the curricula, instruction, or the system of support available to teachers? This book presents the first comprehensive analysis of TIMSS study--a half-million students from 15,000 schools around the world. It presents detailed reports on three major aspects of education, including curriculum issues, teaching practices, and school support.

Mathematics and Science Education Around the World

What Can We Learn From The Survey of Mathematics and Science Opportunities (SMSO) and the Third International ... and Science Study (TIMSS)?
(Compass Series)
Mathematical Sciences Education Board and Committee on Science Education K-12, National Research Council

National Academies Press | 1996 | 32 páginas

on-line: nap.edu

The psychology of invention in the mathematical field

Jacques Hadamard

Dover Publications Inc. | 1954 | 145 páginas | DJVU | 6 MB

on-line: archive.org

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Thoughtful and articulate study of the origin of ideas. Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

Mathematical And Scientific Development In Early Childhood: A Workshop Summary

Alix Beatty

National Academies Press | 2004 | 54 páginas

on-line em: books.nap.edu

Famous problems of elementary geometry : the duplication of the cube, the trisection of an angle, the quadrature of the circle

Felix Klein
Hard Press | 2007 | 92 páginas | DjVu

online: archive.org

mediafire.com (2,42 MB)
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Histoire des mathématiques

Tome 1
Walter William Rouse Ball

Librairie scientifique A. Hermann | 1906

imgbase-scd-ulp.u-strasbg.fr















Tome 2
Walter William Rouse Ball

Librairie scientifique A. Hermann | 1907

imgbase-scd-ulp.u-strasbg.fr

Outros livros de Rouse Ball on-line em: archive.org

Mathematical Recreations and Essays

Walter William Rouse Ball

online: gutenberg.org
archive.org

Kessinger Publishing | 2004 | 380 pages | Djvu | 14,4 MB

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This classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" — The Mathematics Teacher.

Récréations mathématiques et problèmes des temps anciens et modernes
Walter William Rouse Ball

A. Hermann | 1907

archive.org


Outros livros de Rouse Ball on-line em: archive.org

Symmetry

Hermann Weyl

Princeton University Press | 1952 | pdf | 21,6 Mb

online: archive.org

Defines symmetry through a discussion of its many uses in a wide variety of fields both academic and natural.

The Mathematics of Great Amateurs

Julian Lowell Coolidge

Dover | 1949
online : archive.org

scribd.com

Oxford University Press | 1990 | 240 páginas

depositfiles.com (PDF | 10,1 Mb)

This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing fascinating information on their lives and circumstances. The book also includes a valuable introductory essay by Professor Jeremy Gray, who comments on changes that have taken place in the study of history and mathematics since the initial publication of this classic work in 1949.

The Aryabhatiya of Aryabhata: An Ancient Indian Work on Mathematics and Astronomy

traduzido por Walter Eugene Clark

on-line: archive.org

Kessinger Publishing | 2006 | DjVu | 3 MB | 123 páginas

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Men of Mathematics / Los Grandes Matemáticos. Su Vida y sus Obras

Men of Mathematics
vol. 1
Eric Temple Bell

Penguin | 1953 | 340 páginas | DjVu | 6,38 MB

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Here is the classic, much-read introduction to the craft and history of mathematics by E.T. Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.


Men of Mathematics
vol. 2
Eric Temple Bell
1937 - archive.org

Penguin | 1953 | DjVu | 6,38 MB

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2 vol: uploading.com


Los Grandes Matemáticos. Su Vida y sus Obras
E. T. Bell
(em castelhano)

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A history of elementary mathematics, with hints on methods of teaching

Florian Cajori

Macmillan & co., ltd | 1905

On-line: archive.org


Outros livros de Florian Cajori on-line em: archive.org

A history of mathematics

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A History of Mathematical Notations

Florian Cajori

Dover Publications | 1993  | 820 páginas  | PDF | 34 Mb

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This classic study notes the first appearance of a mathematical symbol and its origin, the competition it encountered, its spread among writers in different countries, its rise to popularity, its eventual decline or ultimate survival. The author’s coverage of obsolete notations—and what we can learn from them—is as comprehensive as those which have survived and still enjoy favor. Originally published in 1929 in a two-volume edition, this monumental work is presented here in one volume.

A History Of Mathematical Notations
Vol I
Florian Cajori

The Open Court Publishing Company | 1928

on-line: archive.org
xa.yimg.com (link direto)

uploading.com (PDF - 2,3 Mb)

A History of Mathematical Notations
Volume II
Florian Cajori

The Open Court Publishing Company | 1929

archive.org

uploading.com (PDF - 34 Mb)


Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes--first published in 1928-9--distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity.

Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2."

Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.



A list of Oughtred's mathematical symbols, with historical notes
Berkeley: University of California press | 1920

archive.org

Outros livros de Florian Cajori on-line em: archive.org

A History of Japanese Mathematics

David E. Smith, Yoshio Mikami

Chicago, The Open court publishing company | 1914

archive.org
libweb.uoregon.edu (PDF)

Outros livros de David Eugene Smith on-line em:
archive.org

Work and play with numbers

George Wentworth, David Eugene Smith

Ginn and Co. | 1912

archive.org

Outros livros de David Eugene Smith on-line em:
archive.org

The Hindu-arabic numerals

David Eugene Smith , Louis Charles Karpinski

Dover Phoenix Editions | 1911

on-line: digital.library.cornell.edu
gutenberg.org
archive.org

manybooks.net
scribd.com

Outros livros de David Eugene Smith on-line em:
archive.org