Cultural Foundations Of Mathematics

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Cultural Foundations of Mathematics

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Author : C. K. Raju
Publisher : Pearson Education India
ISBN 13 : 9788131708712
Total Pages : 536 pages
Book Rating : 4.7/5 (87 download)

Book Synopsis Cultural Foundations of Mathematics by : C. K. Raju

Download or read book Cultural Foundations of Mathematics written by C. K. Raju and published by Pearson Education India. This book was released on 2007 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

Cultural Foundations of Learning

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Author : Jin Li
Publisher : Cambridge University Press
ISBN 13 : 0521768292
Total Pages : 401 pages
Book Rating : 4.5/5 (217 download)

Book Synopsis Cultural Foundations of Learning by : Jin Li

Download or read book Cultural Foundations of Learning written by Jin Li and published by Cambridge University Press. This book was released on 2012-03-26 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes fundamental differences in learning beliefs between the Western mind model and the East Asian virtue model of learning.

Mathematics as a Cultural System

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Author : Raymond L. Wilder
Publisher : Elsevier
ISBN 13 : 1483100618
Total Pages : 194 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Mathematics as a Cultural System by : Raymond L. Wilder

Download or read book Mathematics as a Cultural System written by Raymond L. Wilder and published by Elsevier. This book was released on 2014-05-20 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a force and process. Chapter VI talks about the singularities in the evolution of mechanics, while Chapter 7 deals with the laws governing the evolution of mathematics. Chapter VIII tackles the role and future of mathematics. The book will be of great interest to readers who are curious about how mathematics relates to culture.

Mathematics and Art

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Author : Lynn Gamwell
Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)

Book Synopsis Mathematics and Art by : Lynn Gamwell

Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Encyclopedia of the Social and Cultural Foundations of Education

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Author : Eugene F. Provenzo, Jr.
Publisher : SAGE Publications
ISBN 13 : 1452265976
Total Pages : 1392 pages
Book Rating : 4.4/5 (522 download)

Book Synopsis Encyclopedia of the Social and Cultural Foundations of Education by : Eugene F. Provenzo, Jr.

Download or read book Encyclopedia of the Social and Cultural Foundations of Education written by Eugene F. Provenzo, Jr. and published by SAGE Publications. This book was released on 2008-10-29 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt: More than any other field in education, the social and cultural foundations of education reflect many of the conflicts, tensions, and forces in American society. This is hardly surprising, since the area focuses on issues such as race, gender, socioeconomic class, the impact of technology on learning, what it means to be educated, and the role of teaching and learning in a societal context. The Encyclopedia of the Social and Cultural Foundations of Education provides a comprehensive introduction to the social and cultural foundations of education. With more than 400 entries, the three volumes of this indispensable resource offer a thorough and interdisciplinary view of the field for all those interested in issues involving schools and society. Key Features · Provides an interdisciplinary perspective from areas such as comparative education, educational anthropology, educational sociology, the history of education, and the philosophy of education · Presents essays on major movements in the field, including the Free School and Visual Instruction movements · Includes more than 130 biographical entries on important men and women in education · Offers interpretations of legal material including Brown v. Board of Education(1954) and the GI Bill of Rights · Explores theoretical debates fundamental to the field such as religion in the public school curriculum, rights of students and teachers, surveillance in schools, tracking and detracking, and many more · Contains a visual history of American education with nearly 350 images and an accompanying narrative Key Themes · Arts, Media, and Technology · Curriculum · Economic Issues · Equality and Social Stratification · Evaluation, Testing, and Research Methods · History of Education · Law and Public Policy · Literacy · Multiculturalism and Special Populations · Organizations, Schools, and Institutions · Religion and Social Values · School Governance · Sexuality and Gender · Teachers · Theories, Models, and Philosophical Perspectives · A Visual History of American Education

Introduction to the Foundations of Mathematics

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Author : Raymond L. Wilder
Publisher : Courier Corporation
ISBN 13 : 0486276201
Total Pages : 352 pages
Book Rating : 4.4/5 (862 download)

Book Synopsis Introduction to the Foundations of Mathematics by : Raymond L. Wilder

Download or read book Introduction to the Foundations of Mathematics written by Raymond L. Wilder and published by Courier Corporation. This book was released on 2013-09-26 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

Introduction to Cultural Mathematics

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Author : Thomas E. Gilsdorf
Publisher : John Wiley & Sons
ISBN 13 : 111811552X
Total Pages : 323 pages
Book Rating : 4.1/5 (181 download)

Book Synopsis Introduction to Cultural Mathematics by : Thomas E. Gilsdorf

Download or read book Introduction to Cultural Mathematics written by Thomas E. Gilsdorf and published by John Wiley & Sons. This book was released on 2012-04-17 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCTION TO CULTURAL MATHEMATICS Challenges readers to think creatively about mathematics and ponder its role in their own daily lives Cultural mathematics, or ethnomathematics as it is also known, studies the relationship between mathematics and culture—with the ultimate goal of contributing to an appreciation of the connection between the two. Introduction to Cultural Mathematics: With Case Studies in the Otomies and Incas integrates both theoretical and applied aspects of the topic, promotes discussions on the development of mathematical concepts, and provides a comprehensive reference for teaching and learning about multicultural mathematical practices. This illuminating book provides a nontraditional, evidence-based approach to mathematics that promotes diversity and respect for cultural heritages. Part One covers such major concepts as cultural aspects of mathematics, numeration and number symbols, kinship relations, art and decoration, games, divination, and calendars. Part Two takes those concepts and applies them to fascinating case studies of both the Otomies of Central Mexico and the Incas of South America. Throughout the book, numerous illustrations, examples, and motivational questions promote an interactive understanding of the topic. Each chapter begins with questions that encourage a cooperative, inquiry-based approach to learning and concludes with a series of exercises that allow readers to test their understanding of the presented material. Introduction to Cultural Mathematics is an ideal book for courses on cultural mathematics, the history of mathematics, and cultural studies. The book is also a valuable resource and reference for anyone interested in the connections between mathematics, culture, anthropology, and history.

Geometry

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Author : Audun Holme
Publisher : Springer Science & Business Media
ISBN 13 : 3662047209
Total Pages : 384 pages
Book Rating : 4.6/5 (62 download)

Book Synopsis Geometry by : Audun Holme

Download or read book Geometry written by Audun Holme and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is more important than ever, but phrases like "math avoidance" and "math anxiety" are very much in the public vocabulary. In addition to providing an invitation to mathematics in general, this book emphasizes the dynamic character of geometry and its role as part of the foundation for our cultural heritage. Aimed at an informed public and future teachers of mathematics, it seeks to heal the ills of math phobia in society.

What Is Mathematics, Really?

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Author : Reuben Hersh
Publisher : Oxford University Press
ISBN 13 : 0198027362
Total Pages : 368 pages
Book Rating : 4.1/5 (98 download)

Book Synopsis What Is Mathematics, Really? by : Reuben Hersh

Download or read book What Is Mathematics, Really? written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Cultural Diversity and Education

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Author : James A. Banks
Publisher : Routledge
ISBN 13 : 1317222466
Total Pages : 367 pages
Book Rating : 4.3/5 (172 download)

Book Synopsis Cultural Diversity and Education by : James A. Banks

Download or read book Cultural Diversity and Education written by James A. Banks and published by Routledge. This book was released on 2015-12-22 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available in paperback, the sixth edition of this definitive text provides students a strong background in the conceptual, theoretical, and philosophical issues in multicultural education from a leading authority and scholarly leader of the field---James A. Banks. In the opening chapter author Banks presents his well-known and widely used concept of Dimensions of Multicultural Education to help build an understanding of how the various components of multicultural education are interrelated. He then provides an overview on preparing students to function as effective citizens in a global world; discusses the dimensions, history, and goals of multicultural education; presents the conceptual, philosophical, and research issues related to education and diversity; examines the issues involved in curriculum and teaching; looks at gender equity, disability, giftedness, and language diversity; and focuses on intergroup relations and principles for teaching and learning. This new edition incorporates new concepts, theories, research, and developments in the field of multicultural education and features: A new Chapter 5, "Increasing Student Academic Achievement: Paradigms and Explanations" provides important explanations for the achievement gap and suggests ways that educators can work to close it. A new Chapter 7, "Researching Race, Culture, and Difference," explains the unique characteristics of multicultural research and how it differs from mainstream research in education and social science. A new Chapter 14, "Principles for Teaching and Learning in a Multicultural Society" contains research-based guidelines for reforming teaching and the school in order to increase the academic achievement and social development of students from diverse racial, ethnic, cultural, language, and gender groups. A new Appendix—"Essential Principles Checklist"—designed to help educators determine the extent to which practices within their schools, colleges, and universities are consistent with the research-based findings described in the book.

The Stories We Tell

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Author : Valerie N. Faulkner
Publisher : Rowman & Littlefield
ISBN 13 : 1475841647
Total Pages : 158 pages
Book Rating : 4.4/5 (758 download)

Book Synopsis The Stories We Tell by : Valerie N. Faulkner

Download or read book The Stories We Tell written by Valerie N. Faulkner and published by Rowman & Littlefield. This book was released on 2019-08-29 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics from the early identification of talent, using demographic characteristics to make academic decisions, and the casting of a ‘gap’ in mathematical performance as about the students themselves. Educators are making decisions about students that contribute to the very gaps in achievement we strive to overcome.

Mathematical Enculturation

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Author : Alan Bishop
Publisher : Springer Science & Business Media
ISBN 13 : 940092657X
Total Pages : 210 pages
Book Rating : 4.4/5 (9 download)

Book Synopsis Mathematical Enculturation by : Alan Bishop

Download or read book Mathematical Enculturation written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

The Social and Cultural Foundations of Education

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Author : Joshua Diem
Publisher :
ISBN 13 : 9781516555086
Total Pages : 296 pages
Book Rating : 4.5/5 (55 download)

Book Synopsis The Social and Cultural Foundations of Education by : Joshua Diem

Download or read book The Social and Cultural Foundations of Education written by Joshua Diem and published by . This book was released on 2015-12-10 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in The Social and Cultural Foundations of Education: A Reader initiate conversations on fundamental cultural and social topics that are also integral issues in education today. Each selection was chosen because it offers a unique perspective that encourages readers to think about familiar subject matter in new ways. The topics addressed are as diverse as the authors. They include the role that race and racism still play in society, how the climate crisis is being dealt with, the fluid nature of gender and sexuality, and how popular culture offers profoundly important representations into who and what we are as a culture today. Designed to shine a light on present-day dilemmas, The Social and Cultural Foundations of Education: A Reader presents work that may well join the lineage of seminal writing in the discipline. The anthology was designed as a companion text for undergraduate courses in educational foundations, and is also an excellent supplemental reader for classes in social and cultural anthropology and sociology.

The Eleven Pictures of Time

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Author : C K Raju
Publisher : SAGE Publications India
ISBN 13 : 8132102851
Total Pages : 590 pages
Book Rating : 4.1/5 (321 download)

Book Synopsis The Eleven Pictures of Time by : C K Raju

Download or read book The Eleven Pictures of Time written by C K Raju and published by SAGE Publications India. This book was released on 2003-09-11 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: `Magnificent, a true magnum opus....A tremendously important piece of work.... A truly revolutionary book (not merely an excellent book)' - Arun Ghosh Time is a mystery that has perplexed humankind since time immemorial. Resolving this mystery is of significance not only to philosophers and physicists but is also a very practical concern. Our perception of time shapes our values and way of life; it also mediates the interaction between science and religion both of which rest fundamentally on assumptions about the nature of time. C K Raju begins with a critical exposition of various time-beliefs, ranging from the earliest times through Augustine, Newton and Einstein to Stephen Hawking and current notions of chaos and time travel. He traces the role of organised religion in subverting time beliefs for its political ends. The book points out how this resulted in a facile dichotomy between 'linear' and 'cyclic' time, thereby inaugurating a confusion which, according to the author, has handicapped Western thought ever since, eventually influencing the content of science itself. Thus, this book daringly asserts that physical theory, traditionally regarded as amoral and objective, has depended on cultural beliefs about time. The author points out that time beliefs are again being manipulated today as the credibility of science is being exploited to promote a picture of time and, hence, a pattern of human behaviour which is convenient to the agenda of globalisation of culture. The linkages between modern theology and this 'brave new physics' are traced against the wider context of the so-called 'clash of civilisations', and the attempts to remake the world order. The conclusions point to the need to de-theologise time. The author challenges Einstein's understanding of relativity theory and suggests that a 'tilt in the arrow of time', or a small tendency towards cyclicity, will help repair the prevalent confusion about time. A 'tilt' also enables a physics that permits both memory and creativity, so that purpose and spontaneous growth of order are returned to human life. The book ends with a vision of Man as Creator, surprising God. Extensive research in physics, the history of science, comparative religions, and sociology lend weight to the important and challenging conclusions reached by the author. Written as a rejoinder to Stephen Hawking's A Brief History of Time, this book goes much further and, unlike any previous book, it gives a critical exposition of various world religions-Buddhism, Christianity, Hinduism, Islam, and Jainism-while exploring their intricate links, through time beliefs, to current physics on the one hand, and to global political and economic trends, on the other. This book will appeal to scholars and laypersons equally. It will fascinate anyone who reads it and will teach its readers to question the unquestionable.

Empirical Philosophical Investigations in Education and Embodied Experience

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Author : Joacim Andersson
Publisher : Springer
ISBN 13 : 331974609X
Total Pages : 145 pages
Book Rating : 4.3/5 (197 download)

Book Synopsis Empirical Philosophical Investigations in Education and Embodied Experience by : Joacim Andersson

Download or read book Empirical Philosophical Investigations in Education and Embodied Experience written by Joacim Andersson and published by Springer. This book was released on 2018-04-06 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on John Dewey and the later Ludwig Wittgenstein, this book employs philosophy as a conceptual resource to develop new methodological and analytical tools for conducting in situ empirical investigations. Chapter one explores the philosophies of Wittgenstein and Dewey. Chapter two exposits Deweyan ideas of embodiment, the primacy of the aesthetic encounter, and aesthetically expressive meaning underdeveloped in Wittgenstein. Chapter three introduces the method of practical epistemological analysis (PEA) and a model of situated epistemic relations (SER) to investigate the learning of body techniques in dinghy sailing. The concluding chapter introduces a model of situated artistic relations (SAR) to investigate the learning of artistic techniques of self-expression in the Swedish sloyd classroom.

Time: Towards a Consistent Theory

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Author : C.K. Raju
Publisher : Springer Science & Business Media
ISBN 13 : 9401583765
Total Pages : 262 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis Time: Towards a Consistent Theory by : C.K. Raju

Download or read book Time: Towards a Consistent Theory written by C.K. Raju and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is time, even locally, like the real line? Multiple structures of time, implicit in physics, create a consistency problem. A tilt in the arrow of time is suggested as the most conservative hypothesis which provides approximate consistency within physics and with topology of mundane time. Mathematically, the assumed constancy of the velocity of light (needed to measure time) implies functional differential equations of motion, that have both retarded and advanced deviating arguments with the hypothesis of a tilt. The novel features of such equations lead to a nontrivial structure of time and quantum-mechanical behaviour. The entire argument is embedded in a pedagogical exposition which amplifies, corrects, and questions the conventionally accepted approach. The exposition includes historical details and explains, for instance, why the entropy law is inadequate for time asymmetry, and why notions such as time asymmetry (hence causality) may be conceptually inadequate. The first three parts of the book are especially suited as supplementary reading material for undergraduate and graduate students and teachers of physics. The new ideas are addressed to researchers in physics and philosophy of science concerned with relativity and the interpretation of quantum mechanics.

Teaching Mathematics to Culturally and Linguistically Diverse Learners

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Author : Art Johnson
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis Teaching Mathematics to Culturally and Linguistically Diverse Learners by : Art Johnson

Download or read book Teaching Mathematics to Culturally and Linguistically Diverse Learners written by Art Johnson and published by Allyn & Bacon. This book was released on 2010 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resource added for the Mathematics 108041 courses.