The Culture of the Mathematics Classroom

Falk Seeger, Jörg Voigt, Ute Waschescio

Cambridge University Press | 1998 | 416 páginas |  pdf | 4 Mb

lib.freescienceengineering.org

Descrição: The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.

Numbers and Shapes Revisited: More Problems for Young Mathematicians

(Oxford Science Publications)
Judita Cofman

Oxford University Press, USA | 1995 | 320 páginas | djvu

depositfiles.com
lib.freescienceengineering.org
lib.freescienceengineering.org

Descrição: Numbers and Shapes Revisited is the ideal guide for high school and undergraduate students seeking to understand the connections between the wide range of mathematical methods and concepts that they may come across in their curriculum. Topics include elementary number theory, classical algebra, euclidean geometry, group theory, and combinatorics. Stimulating and enjoyable, the book will promote independent thinking and the ability to pose and answer questions.

What to Solve?: Problems and Suggestions for Young Mathematicians

(Oxford Science Publications)
Judita Cofman

Oxford University Press, USA | 1990 | 264 páginas

mediafire.com (z-pdf | 3,44 Mb | Password: thistooshallpass)

djvu
f3.tiera.ru
scribd.com
lib.freescienceengineering.org
depositfiles.com


Descrição: This book provides a wide variety of mathematical problems for teenagers and students to help stimulate interest in mathematical ideas outside of the classroom. Problems in the text vary in difficulty from the easy to the unsolved, but all will encourage independent investigation, demonstrate different approaches to problem-solving, and illustrate some of the famous dilemmas that well-known mathematicians have attempted to solve. Helpful hints and detailed discussions of solutions are included, making this book a valuable resource for schools, student teachers, and college mathematics courses, as well as for anyone fascinated by mathematical ideas.

Birth of Mathematics: Ancient Times to 1300

(Pioneers in Mathmatics)
Michael J. Bradley

Facts on File | 2006 | 160 páginas | pdf | 5 Mb

f3.tiera.ru
mediafire.com

depositfiles.com
lib.freescienceengineering.org
lib.freescienceengineering.org

Descrição: From 700 BCE to CE 1300, thousands of scholars from many different civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics. Although we know very little about specific individuals who made important mathematical discoveries in Babylonia, Egypt, and China, historians in Greece, India, Arabia, and medieval Italy preserved a more complete record, including the identities of some of the innovators. "The Birth of Mathematics" profiles 10 individuals from these four cultures during this time period as representatives of the numerous scholars who contributed to the field of mathematics.

The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History

(Ideas in Context)
Reviel Netz

Cambridge University Press | 2003 | 352 páginas | pdf | 1,1 Mb

f3.tiera.ru
lib.freescienceengineering.org

Descrição: This book provides a way to understand a momentous development in human intellectual history: the phenomenon of deductive argument in classical Greek mathematics. The argument rests on a close description of the practices of Greek mathematics, principally the use of lettered diagrams and the regulated, formulaic use of language.

Índice:
Preface
List of abbreviations
The Greek alphabet
Note on the figures
Introduction 1
A specimen of Greek mathematics 9
1 The lettered diagram 12
2 The pragmatics of letters 68
3 The mathematical lexicon 89
4 Formulae 127
5 The shaping of necessity 168
6 The shaping of generality 240
7 The historical setting 271
App The main Greek mathematicians cited in the book 313
Bibliography 316
Index 323

Games of no Chance 3

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

Cambridge University Press | 2009 | 576 páginas |  pdf

f3.tiera.ru
uploading.com
lib.freescienceengineering.org

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.

Children Doing Mathematics

(Understanding Children's Worlds)
Terezinha Nunes, Peter Bryant

Wiley-Blackwell | 1996 | 288 páginas | PDF - 42 Mb

4shared.com
lib.freescienceengineering.org

Descrição: Children Doing Mathematics provides a reliable and up to date review of the substantial recent work in children' mathematical understanding. The authors also present important new research on children's understanding of number, measurement, arithmetic operation and fractions both in and out of school.

The central theme of Children Doing Mathematics is that there are crucial conditions for children's mathematical learning. Firstly, children have to come to grips with conventional mathematical systems. Secondly, but equally important, they have to be able to present mathematical knowledge in a way that solves problems. The book also discusses how mathematical activities and knowledge involve much more than what is currently viewed as mathematics in the school curriculum. Most recent work illustrates how children can be successful in mathematical activities outside school whereas they fail in similar activities in the classroom. Through these two underlying themes the authors bring together discussions on conventional mathematical learning and on real life mathematical success. In so doing, they also highlight new and better ways of analysing children's abilities and of advancing their learning in school.

Índice
List of Tables
List of Figures
Series Editor's Preface
Preface
Acknowledgements
1 Explaining Numeracy 1
2 Beginning with Counting 21
3 Understanding Numeration Systems 44
4 Measurement Systems 76
5 Mathematics under Different Names 96
6 Giving Meaning to Addition and Subtraction 114
7 The Progress to Multiplication and Division 142
8 Understanding Rational Numbers 202
9 Conclusions 234
References 249
Index 261