Speaking Mathematically

Communication in Mathematics Classrooms

Author: David Pimm

Publisher: Taylor & Francis

ISBN: 9780415037082

Category: Communication in education

Page: 217

View: 4034

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This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.

Routledge Revivals: Speaking Mathematically (1987)

Communication in Mathematics Clasrooms

Author: David Pimm

Publisher: Routledge

ISBN: 9781138242081

Category:

Page: 217

View: 7541

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First published in 1987, this book examines mathematics school teaching from the perspective that it is a language -- arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

The Mathematics of Love

Patterns, Proofs, and the Search for the Ultimate Equation

Author: Hannah Fry

Publisher: Simon and Schuster

ISBN: 1476784892

Category: Family & Relationships

Page: 128

View: 3084

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In this must-have for anyone who wants to better understand their love life, a mathematician pulls back the curtain and reveals the hidden patterns—from dating sites to divorce, sex to marriage—behind the rituals of love. The roller coaster of romance is hard to quantify; defining how lovers might feel from a set of simple equations is impossible. But that doesn’t mean that mathematics isn’t a crucial tool for understanding love. Love, like most things in life, is full of patterns. And mathematics is ultimately the study of patterns—from predicting the weather to the fluctuations of the stock market, the movement of planets or the growth of cities. These patterns twist and turn and warp and evolve just as the rituals of love do. In The Mathematics of Love, Dr. Hannah Fry takes the reader on a fascinating journey through the patterns that define our love lives, applying mathematical formulas to the most common yet complex questions pertaining to love: What’s the chance of finding love? What’s the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down? From evaluating the best strategies for online dating to defining the nebulous concept of beauty, Dr. Fry proves—with great insight, wit, and fun—that math is a surprisingly useful tool to negotiate the complicated, often baffling, sometimes infuriating, always interesting, mysteries of love.

Discrete Mathematics with Applications

Author: Susanna S. Epp

Publisher: Cengage Learning

ISBN: 0495391328

Category: Mathematics

Page: 984

View: 3506

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Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Student Voice in Mathematics Classrooms around the World

Author: Berinderjeet Kaur,Glenda Anthony,Minoru Ohtani,David Clarke

Publisher: Springer Science & Business Media

ISBN: 9462093504

Category: Education

Page: 317

View: 9002

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The Learner's Perspective Study ascribes to the premise that the investigation of social practice within the mathematics classrooms must attend to the learners’ practice with at least the same priority as that accorded to the teachers’ practice. In focusing on student voice within this partnership, as enacted in many different guises across different cultures and socio-political learning environments, we hope that we will be better informed to understand the relationship between pedagogy and learning mathematics, and between pedagogy and the empowerment of diverse learners. Research findings from the Learner's Perspective Study reported in this book and its companion volumes affirm just how culturally-situated are the practices of classrooms around the world and the extent to which students are collaborators with the teacher, complicit in the development and enactment of patterns of participation that reflect individual, societal and cultural priorities and associated value systems. In this book, we attend closely to this collaboration with our focus on the voice of the student. Collectively, the authors consider how the deliberate inclusion of student voice can be used to enhance our understandings of mathematics classrooms, of mathematics learning, and of mathematics outcomes for students in classrooms around the world. The Learner’s Perspective Study aims to juxtapose the observable practices of the classroom and the meanings attributed to those practices by classroom participants. The LPS research design documents sequences of at least ten lessons, using three video cameras, supplemented by the reconstructive accounts of classroom participants obtained in post-lesson video-stimulated interviews, and by test and questionnaire data, and copies of student written material. In each participating country, data generation focuses on the classrooms of three teachers, identified by the local mathematics education community as competent, and situated in demographically different school communities within the one major city. The large body of complex data supports both the characterization of practice in the classrooms of competent teachers and the development of theory.

Mathematically Speaking

A Dictionary of Quotations

Author: C.C. Gaither,Alma E Cavazos-Gaither

Publisher: CRC Press

ISBN: 9781420050301

Category: Mathematics

Page: 484

View: 429

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For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the quoted "jewels" that exist, but you will definitely a great many of them here. The extensive author and subject indexes provide you with the perfect tools for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from addition to zero. This book will be a handy reference for the mathematician or scientific reader and the wider public interested in who has said what on mathematics.

Mathematical Relationships in Education

Identities and Participation

Author: Laura Black,Heather Mendick,Yvette Solomon

Publisher: Routledge

ISBN: 1135842183

Category: Education

Page: 266

View: 379

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This book brings together scholars working in the field of mathematics education to examine the ways in which learners form particular relationships with mathematics in the context of formal schooling. While demand for the mathematically literate citizen increases, many learners continue to reject mathematics and experience it as excluding and exclusive, even when they succeed at it. In exploring this phenomenon, this volume focuses on learners' developing sense of self and their understanding of the part played by mathematics in it. It recognizes the part played by emotional responses, the functioning of classroom communities of practice, and by discourses of mathematics education in this process. It thus blends perspectives from psychoanalysis, socio-cultural theory and discursive approaches in a focus on the classic issues of selection and assessment, pedagogy, curriculum, choice, and teacher development.

How to Teach Mathematics, Second Edition

Author: Steven George Krantz

Publisher: American Mathematical Soc.

ISBN: 0821813986

Category: Mathematics

Page: 307

View: 7325

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This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.

Handbook of Research on Enhancing Teacher Education with Advanced Instructional Technologies

Author: Ololube, Nwachukwu Prince

Publisher: IGI Global

ISBN: 1466681632

Category: Education

Page: 485

View: 1221

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Before today’s teachers are ready to instruct the intellectual leaders of tomorrow, they must first be trained themselves. Information and communication technology can greatly increase the effectiveness of this training and also aid teachers as they seek to bring the latest technological advancements into their own classrooms. The Handbook of Research on Enhancing Teacher Education with Advanced Instructional Technologies explains the need to bring technology to the forefront of teacher training. With an emphasis on how information and communication technology can provide richer learning outcomes, this book is an essential reference source for researchers, academics, professionals, students, and technology developers in various disciplines.

Symbols and Meanings in School Mathematics

Author: David Pimm

Publisher: Routledge

ISBN: 1134823657

Category: Education

Page: 234

View: 4538

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Symbols and Meanings in School Mathematics explores the various uses and aspects of symbols in school mathematics and also examines the notion of mathematical meaning. It is concerned with the power of language which enables us to do mathematics, giving us the ability to name and rename, to transform names and to use names and descriptions to conjure, communicate and control our images. It is in the interplay between language, image and object that mathematics is created and can be communicated to others. The book also addresses a set of questions of particular relevance to the last decade of the twentieth century, which arise due to the proliferation of machines offering mathematical functioning.

Vision in Elementary Mathematics

Author: W. W. Sawyer

Publisher: Courier Corporation

ISBN: 0486143627

Category: Mathematics

Page: 352

View: 7242

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Sure-fire techniques of visualizing, dramatizing, and analyzing numbers promise to attract and retain students' attention and understanding. Topics include basic multiplication and division, algebra, word problems, graphs, negative numbers, fractions, many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.

Mathematical Wizardry for a Gardner

Author: Ed Pegg Jr,Alan Schoen,Tom Rodgers

Publisher: CRC Press

ISBN: 1439865396

Category: Mathematics

Page: 220

View: 3059

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In this volume, world-leading puzzle designers, puzzle collectors, mathematicians, and magicians continue the tradition of honoring Martin Gardner, who inspired them to enter mathematics, to enter magic, to bring magic into their mathematics, or to bring mathematics into their magic. This edited collection contains a variety of articles connected to puzzles, magic, and/or mathematics, including the history behind given puzzles, solitaire puzzles, two-person games, and mathematically interesting objects. Topics include tangrams, peg solitaire, sodoku, coin-weighing problems, anamorphoses, and more!

Invitation to the Mathematics of Fermat-Wiles

Author: Yves Hellegouarch

Publisher: Elsevier

ISBN: 9780080478777

Category: Mathematics

Page: 400

View: 966

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Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it places these concepts in their historical context. This book can be used in introduction to mathematics theories courses and in special topics courses on Fermat's last theorem. It contains themes suitable for development by students as an introduction to personal research as well as numerous exercises and problems. However, the book will also appeal to the inquiring and mathematically informed reader intrigued by the unraveling of this fascinating puzzle. Rigorously presents the concepts required to understand Wiles' proof, assuming only modest undergraduate level math Sets the math in its historical context Contains several themes that could be further developed by student research and numerous exercises and problems Written by Yves Hellegouarch, who himself made an important contribution to the proof of Fermat's last theorem

Mathematics for Tomorrow’s Young Children

Author: C.S. Mansfield,N.A. Pateman,N. Bednarz

Publisher: Springer Science & Business Media

ISBN: 9401722110

Category: Education

Page: 329

View: 1294

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Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the importance of social interactions. Along with social constructivism, Vygotsky's writings on children's learning have recently also undergone close scru tiny and researchers are attempting a synthesis of aspects ofVygotskian theory and social constructivism. This re-examination of Vygotsky's work is taking place in many other subject fields besides mathematics, such as language learning by young children. It is interesting to speculate why Vygotsky's writings have appealed to so many researchers in different cultures and decades later than his own times. Given the recent increased emphasis on the social nature of learning and on the interactions between student, teacher and context factors, a finer grained analysis of the nature of different theories of learning now seems to be critical, and it was considered that different views of students' learning of mathematics needed to be acknowledged in the discussions of the Working Group.

Mathematics

Its Content, Methods and Meaning

Author: A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev

Publisher: Courier Corporation

ISBN: 0486157873

Category: Mathematics

Page: 1120

View: 1327

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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

How to Speak Money: What the Money People Say-And What It Really Means

Author: John Lanchester

Publisher: W. W. Norton & Company

ISBN: 0393243389

Category: Business & Economics

Page: 288

View: 3483

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“One of the world’s great explainers of the financial crisis and its aftermath.”—Michael Lewis To those who don’t speak it, the language of money can seem impenetrable and its ideas too complex to grasp. In How to Speak Money, John Lanchester—author of the New York Times best-selling book on the financial crisis, I.O.U.—bridges the gap between the money people and the rest of us. With characteristic wit and candor, Lanchester reveals how the world of finance really works: from the terms and conditions of your personal checking account to the evasions of bankers appearing in front of Congress. As Lanchester writes, we need to understand what the money people are talking about so that those who speak the language don’t just write the rules for themselves. Lanchester explains more than 300 words and phrases from “AAA rating” and “amortization” to “yield curve” and “zombie bank.” He covers things we say or hear every day—such as GDP, the IMF, credit, debt, equity, and inflation—and explains how hedge funds work, what the World Bank does, and why the language of money has gotten so complicated. Along the way he draws on everything from John Maynard Keynes to the Wu-Tang Clan, Friedrich Hayek to Thomas Piketty, The Wealth of Nations to Game of Thrones. A primer, a polemic, and a reference book, How to Speak Money makes economics understandable to anyone. After all, “money,” as Lanchester writes, “is a lot like babies, and once you know the language, the rule is the same as that put forward by Dr. Spock: ‘Trust yourself. You know more than you think you do.’”

Mathematically Speaking

A Dictionary of Quotations

Author: C.C. Gaither,Alma E Cavazos-Gaither

Publisher: CRC Press

ISBN: 9781420050301

Category: Mathematics

Page: 484

View: 3795

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For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the quoted "jewels" that exist, but you will definitely a great many of them here. The extensive author and subject indexes provide you with the perfect tools for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from addition to zero. This book will be a handy reference for the mathematician or scientific reader and the wider public interested in who has said what on mathematics.