Historical Modules for the Teaching and Learning of Mathematics

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Publisher : American Mathematical Soc.
ISBN 13 : 1470457113
Total Pages : 1378 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Historical Modules for the Teaching and Learning of Mathematics by : Victor J. Katz

Download or read book Historical Modules for the Teaching and Learning of Mathematics written by Victor J. Katz and published by American Mathematical Soc.. This book was released on 2020-03-02 with total page 1378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.

Task Design In Mathematics Education

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Publisher : Springer
ISBN 13 : 331909629X
Total Pages : 339 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Task Design In Mathematics Education by : Anne Watson

Download or read book Task Design In Mathematics Education written by Anne Watson and published by Springer. This book was released on 2015-10-26 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* This open access book is the product of ICMI Study 22 Task Design in Mathematics Education. The study offers a state-of-the-art summary of relevant research and goes beyond that to develop new insights and new areas of knowledge and study about task design. The authors represent a wide range of countries and cultures and are leading researchers, teachers and designers. In particular, the authors develop explicit understandings of the opportunities and difficulties involved in designing and implementing tasks and of the interfaces between the teaching, researching and designing roles – recognising that these might be undertaken by the same person or by completely separate teams. Tasks generate the activity through which learners meet mathematical concepts, ideas, strategies and learn to use and develop mathematical thinking and modes of enquiry. Teaching includes the selection, modification, design, sequencing, installation, observation and evaluation of tasks. The book illustrates how task design is core to effective teaching, whether the task is a complex, extended, investigation or a small part of a lesson; whether it is part of a curriculum system, such as a textbook, or promotes free standing activity; whether the task comes from published source or is devised by the teacher or the student.

Mathematics, Education and History

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Publisher : Springer
ISBN 13 : 3319739247
Total Pages : 389 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematics, Education and History by : Kathleen M. Clark

Download or read book Mathematics, Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

Revolutions in Mathematics

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Publisher : Oxford University Press on Demand
ISBN 13 : 9780198514862
Total Pages : 353 pages
Book Rating : 4.5/5 (148 download)

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Book Synopsis Revolutions in Mathematics by : Donald Gillies

Download or read book Revolutions in Mathematics written by Donald Gillies and published by Oxford University Press on Demand. This book was released on 1995 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this book provide the first comprehensive treatment of the concept of revolution in mathematics. In 1962 an exciting discussion of revolutions in the natural sciences was prompted by the publication of Kuhn's The Structure of Scientific Revolutions. A fascinating but little knownoffshoot of this debate was begun in the USA in the mid-1970s: can the concept of revolutions be applied to mathematics as well as science? Michael Crowe declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave someexamples.The original papers of Crowe, Dauben, and Mehrtens are reprinted in this book, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics who each discuss an important episode and consider whether it was arevolution.This book is an excellent reference work and an ideal course text for both graduate and undergraduate courses in the history and philosophy of science and mathematics.

The Emergence of the American Mathematical Research Community, 1876-1900

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821809075
Total Pages : 532 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis The Emergence of the American Mathematical Research Community, 1876-1900 by : Karen Hunger Parshall

Download or read book The Emergence of the American Mathematical Research Community, 1876-1900 written by Karen Hunger Parshall and published by American Mathematical Soc.. This book was released on 1994 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover

Modern Algebra and the Rise of Mathematical Structures

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Publisher : Birkhäuser
ISBN 13 : 3034879172
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Algebra and the Rise of Mathematical Structures by : Leo Corry

Download or read book Modern Algebra and the Rise of Mathematical Structures written by Leo Corry and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.

Leonardo Pisano (Fibonacci)

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Publisher : Elsevier
ISBN 13 : 0080886507
Total Pages : 147 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Leonardo Pisano (Fibonacci) by : L. E. Sigler

Download or read book Leonardo Pisano (Fibonacci) written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.

David Hilbert and the Axiomatization of Physics (1898–1918)

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Publisher : Springer Science & Business Media
ISBN 13 : 1402027788
Total Pages : 542 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis David Hilbert and the Axiomatization of Physics (1898–1918) by : L. Corry

Download or read book David Hilbert and the Axiomatization of Physics (1898–1918) written by L. Corry and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

Children Helping Children

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Children Helping Children by : Hugh C. Foot

Download or read book Children Helping Children written by Hugh C. Foot and published by . This book was released on 1990-05-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating compilation reviews the recent research on children's helping relationships outside the classroom setting. The focus is on the application of peer group help in familial, medical, therapeutic and health education contexts. Features ideas and insights from an impressive field of international contributors who offer a broad array of theoretical and practical perspectives on the issues surrounding children's helping relationships.

The Architecture of Modern Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191513792
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Architecture of Modern Mathematics by : J. Ferreiros

Download or read book The Architecture of Modern Mathematics written by J. Ferreiros and published by OUP Oxford. This book was released on 2006-04-27 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.

Lewis Carroll in Numberland

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Publisher : Penguin UK
ISBN 13 : 0141920785
Total Pages : 311 pages
Book Rating : 4.1/5 (419 download)

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Book Synopsis Lewis Carroll in Numberland by : Robin Wilson

Download or read book Lewis Carroll in Numberland written by Robin Wilson and published by Penguin UK. This book was released on 2008-07-30 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lewis Carroll's books have delighted children and adults for generations, but behind their exuberant fantasy and delightful nonsense was the mind of a brilliant mathematician. Now his forgotten achievements in the world of numbers are brought to light by acclaimed author and mathematician Robin Wilson. Here he explores the curious imagination of a man whose pioneering work at Oxford University included investigations into voting patterns and tennis seeding, who dreamt up numerical conundrums in bed at night and who filled his writings with problems, paradoxes, puzzles and teasing games of logic. Taking us into a world of mock turtles and maps, gryphons and gravity, Lewis Carroll in Numberland reveals the singular mind of a genius.

A History of Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3642181929
Total Pages : 522 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A History of Algorithms by : Jean-Luc Chabert

Download or read book A History of Algorithms written by Jean-Luc Chabert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.

The Oxford Handbook of the History of Mathematics

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Publisher : Oxford University Press on Demand
ISBN 13 : 0199213127
Total Pages : 927 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis The Oxford Handbook of the History of Mathematics by : Eleanor Robson

Download or read book The Oxford Handbook of the History of Mathematics written by Eleanor Robson and published by Oxford University Press on Demand. This book was released on 2009 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.

Tradition, Transmission, Transformation

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Publisher : BRILL
ISBN 13 : 9789004101197
Total Pages : 634 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Tradition, Transmission, Transformation by : F. Jamil Ragep

Download or read book Tradition, Transmission, Transformation written by F. Jamil Ragep and published by BRILL. This book was released on 1996 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.

Mathematical Knowledge

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Publisher : Oxford University Press, USA
ISBN 13 : 0199228248
Total Pages : 199 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Mathematical Knowledge by : Mary Leng

Download or read book Mathematical Knowledge written by Mary Leng and published by Oxford University Press, USA. This book was released on 2007-11-15 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the nature of mathematical knowledge? Is it anything like scientific knowledge or is it sui generis? How do we acquire it? Should we believe what mathematicians themselves tell us about it? Are mathematical concepts innate or acquired? Eight new essays offer answers to these and many other questions. Written by some of the world's leading philosophers of mathematics, psychologists, and mathematicians, Mathematical Knowledge gives a lively sense of the current state of debate in this fascinating field.

Development of Mathematics in the 19th Century

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Publisher : Math Science Press
ISBN 13 : 9780915692286
Total Pages : 630 pages
Book Rating : 4.6/5 (922 download)

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Book Synopsis Development of Mathematics in the 19th Century by : Félix Klein

Download or read book Development of Mathematics in the 19th Century written by Félix Klein and published by Math Science Press. This book was released on 1979 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Higher Arithmetic

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Publisher :
ISBN 13 : 9780511650161
Total Pages : 251 pages
Book Rating : 4.6/5 (51 download)

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Book Synopsis The Higher Arithmetic by : Harold Davenport

Download or read book The Higher Arithmetic written by Harold Davenport and published by . This book was released on 2014-05-14 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport.