The Practice Theory Of Arithmetic

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Cognition in Practice

Author : Jean Lave
Publisher : Cambridge University Press
ISBN 13 : 9780521357340
Total Pages : 236 pages
Book Rating : 4.3/5 (573 download)

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Book Synopsis Cognition in Practice by : Jean Lave

Download or read book Cognition in Practice written by Jean Lave and published by Cambridge University Press. This book was released on 1988-07-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most previous research on human cognition has focused on problem-solving, and has confined its investigations to the laboratory. As a result, it has been difficult to account for complex mental processes and their place in culture and history. In this startling - indeed, disco in forting - study, Jean Lave moves the analysis of one particular form of cognitive activity, - arithmetic problem-solving - out of the laboratory into the domain of everyday life. In so doing, she shows how mathematics in the 'real world', like all thinking, is shaped by the dynamic encounter between the culturally endowed mind and its total context, a subtle interaction that shapes 1) Both tile human subject and the world within which it acts. The study is focused on mundane daily, activities, such as grocery shopping for 'best buys' in the supermarket, dieting, and so on. Innovative in its method, fascinating in its findings, the research is above all significant in its theoretical contributions. Have offers a cogent critique of conventional cognitive theory, turning for an alternative to recent social theory, and weaving a compelling synthesis from elements of culture theory, theories of practice, and Marxist discourse. The result is a new way of understanding human thought processes, a vision of cognition as the dialectic between persons-acting, and the settings in which their activity is constituted. The book will appeal to anthropologists, for its novel theory of the relation of cognition to culture and context; to cognitive scientists and educational theorists; and to the 'plain folks' who form its subject, and who will recognize themselves in it, a rare accomplishment in the modern social sciences.

Approximation Theory and Approximation Practice, Extended Edition

Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 1611975948
Total Pages : 377 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Approximation Theory and Approximation Practice, Extended Edition by : Lloyd N. Trefethen

Download or read book Approximation Theory and Approximation Practice, Extended Edition written by Lloyd N. Trefethen and published by SIAM. This book was released on 2019-01-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical polynomial and rational approximation theory for the twenty-first century. Aimed at advanced undergraduates and graduate students across all of applied mathematics, it uses MATLAB to teach the fields most important ideas and results. Approximation Theory and Approximation Practice, Extended Edition differs fundamentally from other works on approximation theory in a number of ways: its emphasis is on topics close to numerical algorithms; concepts are illustrated with Chebfun; and each chapter is a PUBLISHable MATLAB M-file, available online. The book centers on theorems and methods for analytic functions, which appear so often in applications, rather than on functions at the edge of discontinuity with their seductive theoretical challenges. Original sources are cited rather than textbooks, and each item in the bibliography is accompanied by an editorial comment. In addition, each chapter has a collection of exercises, which span a wide range from mathematical theory to Chebfun-based numerical experimentation. This textbook is appropriate for advanced undergraduate or graduate students who have an understanding of numerical analysis and complex analysis. It is also appropriate for seasoned mathematicians who use MATLAB.

A Conversational Introduction to Algebraic Number Theory

Author : Paul Pollack
Publisher : American Mathematical Soc.
ISBN 13 : 1470436531
Total Pages : 329 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Conversational Introduction to Algebraic Number Theory by : Paul Pollack

Download or read book A Conversational Introduction to Algebraic Number Theory written by Paul Pollack and published by American Mathematical Soc.. This book was released on 2017-08-01 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction to algebraic number theory, meaning the study of arithmetic in finite extensions of the rational number field Q . Originating in the work of Gauss, the foundations of modern algebraic number theory are due to Dirichlet, Dedekind, Kronecker, Kummer, and others. This book lays out basic results, including the three “fundamental theorems”: unique factorization of ideals, finiteness of the class number, and Dirichlet's unit theorem. While these theorems are by now quite classical, both the text and the exercises allude frequently to more recent developments. In addition to traversing the main highways, the book reveals some remarkable vistas by exploring scenic side roads. Several topics appear that are not present in the usual introductory texts. One example is the inclusion of an extensive discussion of the theory of elasticity, which provides a precise way of measuring the failure of unique factorization. The book is based on the author's notes from a course delivered at the University of Georgia; pains have been taken to preserve the conversational style of the original lectures.

The Practice of Mathematics

Author : Yvette Solomon
Publisher : Routledge
ISBN 13 : 1134677251
Total Pages : 243 pages
Book Rating : 4.1/5 (346 download)

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Book Synopsis The Practice of Mathematics by : Yvette Solomon

Download or read book The Practice of Mathematics written by Yvette Solomon and published by Routledge. This book was released on 2013-08-21 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The psychological description and explanation of how children learn to work with numbers is dominated by the theories of Piaget. Yvette Solomon suggests an alternative approach to the child's conception of number.

Second Handbook of Research on Mathematics Teaching and Learning

Author : Frank K. Lester
Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Theories of Mathematical Learning

Author : Leslie P. Steffe
Publisher : Routledge
ISBN 13 : 1136485546
Total Pages : 614 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Theories of Mathematical Learning by : Leslie P. Steffe

Download or read book Theories of Mathematical Learning written by Leslie P. Steffe and published by Routledge. This book was released on 2013-04-03 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.

Young Children Reinvent Arithmetic

Author : Constance Kamii
Publisher : Teachers College Press
ISBN 13 : 0807776246
Total Pages : 394 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Young Children Reinvent Arithmetic by : Constance Kamii

Download or read book Young Children Reinvent Arithmetic written by Constance Kamii and published by Teachers College Press. This book was released on 1999 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this fully revised second edition of the classic Young Children Reinvent Arithmetic, Constance Kamii describes and develops an innovative program of teaching arithmetic in the early elementary grades. Kamii bases her educational strategies on renowned constructivist Jean Piaget's scientific ideas of how children develop logico-mathematical thinking. Written in collaboration with a classroom teacher, and premised upon the conviction that children are capable of much more than teachers and parents generally realize, the book provides a rich theoretical foundation and a compelling explanation of educational goals and objectives. Kamii calls attention to the ways in which traditional textbook-based teaching can be harmful to children’s development of numerical reasoning, and uses extensive research and classroom-tested studies to illuminate the efficacy of the approach. This book is full of practical suggestions and developmentally appropriate activities that can be used to stimulate numerical thinking among students of varying abilities and learning styles, both within and outside of the classroom. “In this new edition of her important book, Connie Kamii demonstrates scholarship not just in what she has written, but in her willingness to incorporate new ideas and findings. Many people update their books; few assiduously revise them, confronting what they believe to be past errors or gaps in their thinking. Such intellectual honesty, along with consistent connections between theory and practice, make this book a solid contribution to mathematics education of young children.” —Douglas Clements, State University of New York at Buffalo “The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision provides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.” —Frances R. Curcio, New York University

Practice Theory Perspectives on Pedagogy and Education

Author : Peter Grootenboer
Publisher : Springer
ISBN 13 : 9811031304
Total Pages : 288 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Practice Theory Perspectives on Pedagogy and Education by : Peter Grootenboer

Download or read book Practice Theory Perspectives on Pedagogy and Education written by Peter Grootenboer and published by Springer. This book was released on 2017-01-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the way in which the “practice turn” in education and pedagogy offers unique perspectives on the nature of educational work. Through a plurality of “practice theories” deeper understandings emerge about a range of education and concepts, providing useful tools for advancing and developing practice theory in education and pedagogy. The book discusses the related and dual perspectives of pedagogy as both a teaching and an upbringing practice. It also explores education in a range of contexts and sectors beyond school, including VET, tertiary and non-formal settings. Education is seen as serving a dual purpose – the development of individuals and the betterment of societies and community, and this conceptualisation of education underpins the book. It acknowledges that there are diverse understandings and perspectives of practice theory, pedagogy and education, each of which is contestable and ripe for further development, and this is examined throughout the book. This book was developed alongside an invited symposium held in June 2015 in Brisbane, Australia where the authors and interested others gathered to discuss practice theory perspectives on pedagogy and education. The title – Practice Theory Perspectives on Pedagogy and Education – captures the central overarching focus that underpins the book.

The Tutor's Guide: Being a Complete System of Arithmetic, with Various Branches in the Mathematics ... The Second Edition, Corrected and Improved, with Additions

Download The Tutor's Guide: Being a Complete System of Arithmetic, with Various Branches in the Mathematics ... The Second Edition, Corrected and Improved, with Additions PDF Online Free

Author : Charles VYSE
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis The Tutor's Guide: Being a Complete System of Arithmetic, with Various Branches in the Mathematics ... The Second Edition, Corrected and Improved, with Additions by : Charles VYSE

Download or read book The Tutor's Guide: Being a Complete System of Arithmetic, with Various Branches in the Mathematics ... The Second Edition, Corrected and Improved, with Additions written by Charles VYSE and published by . This book was released on 1772 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Teacher's Text Book

Author : Alexander FORRESTER (D.D., Superintendent of Education, Nova Scotia.)
Publisher :
ISBN 13 :
Total Pages : 650 pages
Book Rating : 4.0/5 (23 download)

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Book Synopsis The Teacher's Text Book by : Alexander FORRESTER (D.D., Superintendent of Education, Nova Scotia.)

Download or read book The Teacher's Text Book written by Alexander FORRESTER (D.D., Superintendent of Education, Nova Scotia.) and published by . This book was released on 1867 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Public-Key Cryptography: Theory and Practice: Theory and Practice

Author : Das, Abhijit
Publisher : Pearson Education India
ISBN 13 : 8131742105
Total Pages : 585 pages
Book Rating : 4.1/5 (317 download)

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Book Synopsis Public-Key Cryptography: Theory and Practice: Theory and Practice by : Das, Abhijit

Download or read book Public-Key Cryptography: Theory and Practice: Theory and Practice written by Das, Abhijit and published by Pearson Education India. This book was released on 2004 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: Public-Key Cryptography: Theory and Practice provides a comprehensive coverage of the mathematical tools required for understanding the techniques of public-key cryptography and cryptanalysis. Key topics covered in the book include common cryptogra

The Tutor's Guide. Being a Complete System of Arithmetic; with Various Branches in the Mathematics. In Six Parts ... To which is Added, an Appendix ... The Third Edition, Corrected and Improved, with Additions. By Charles Vyse ..

Download The Tutor's Guide. Being a Complete System of Arithmetic; with Various Branches in the Mathematics. In Six Parts ... To which is Added, an Appendix ... The Third Edition, Corrected and Improved, with Additions. By Charles Vyse .. PDF Online Free

Author : Charles Vyse
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.0/5 (22 download)

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Book Synopsis The Tutor's Guide. Being a Complete System of Arithmetic; with Various Branches in the Mathematics. In Six Parts ... To which is Added, an Appendix ... The Third Edition, Corrected and Improved, with Additions. By Charles Vyse .. by : Charles Vyse

Download or read book The Tutor's Guide. Being a Complete System of Arithmetic; with Various Branches in the Mathematics. In Six Parts ... To which is Added, an Appendix ... The Third Edition, Corrected and Improved, with Additions. By Charles Vyse .. written by Charles Vyse and published by . This book was released on 1776 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Tutor's Guide, Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... The Sixth Edition, Corrected and Improved, with Additions

Download The Tutor's Guide, Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... The Sixth Edition, Corrected and Improved, with Additions PDF Online Free

Author : Charles VYSE
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.0/5 (19 download)

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Book Synopsis The Tutor's Guide, Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... The Sixth Edition, Corrected and Improved, with Additions by : Charles VYSE

Download or read book The Tutor's Guide, Being a Complete System of Arithmetic; with Various Branches in the Mathematics ... The Sixth Edition, Corrected and Improved, with Additions written by Charles VYSE and published by . This book was released on 1785 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Adventurer's Guide to Number Theory

Author : Richard Friedberg
Publisher : Courier Corporation
ISBN 13 : 0486152693
Total Pages : 241 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Adventurer's Guide to Number Theory by : Richard Friedberg

Download or read book An Adventurer's Guide to Number Theory written by Richard Friedberg and published by Courier Corporation. This book was released on 2012-07-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.

Handbook of International Research in Mathematics Education

Author : Lyn D. English
Publisher : Routledge
ISBN 13 : 1135192766
Total Pages : 942 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English

Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.

The Art of Problem Posing

Author : Stephen I. Brown
Publisher : Psychology Press
ISBN 13 : 1135612242
Total Pages : 178 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis The Art of Problem Posing by : Stephen I. Brown

Download or read book The Art of Problem Posing written by Stephen I. Brown and published by Psychology Press. This book was released on 2005-01-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.

Elements of Number Theory

Author : John Stillwell
Publisher : Springer Science & Business Media
ISBN 13 : 0387217355
Total Pages : 266 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Elements of Number Theory by : John Stillwell

Download or read book Elements of Number Theory written by John Stillwell and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.