The History Of The Geometry Curriculum In The United States

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The History of the Geometry Curriculum in the United States

Author : Nathalie Sinclair
Publisher : IAP
ISBN 13 : 1607527308
Total Pages : 117 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis The History of the Geometry Curriculum in the United States by : Nathalie Sinclair

Download or read book The History of the Geometry Curriculum in the United States written by Nathalie Sinclair and published by IAP. This book was released on 2008-02-01 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates the evolution of the geometry curriculum in the United States over the past 150 years. A primary goal is to increase awareness of the shape and nature of the current geometry curriculum by explaining how things have come to be as they are. Given the limited access to first-hand accounts of the enacted geometry curriculum during the past 150 years, the monograph relies on textbooks to provide a record of the implemented curriculum at any given point in time. Policy documents can provide insight into the choices made in textbooks by hinting at the issues considered and the recommendations made. The monograph is organized in a chronological sequence of "notable events" leading to discernable changes in thinking about the geometry curriculum over the past century and a half—roughly the extent of time during which geometry has been taught in American schools. Notable events include important reports or commissions, influential texts, new schools of thought, and developments in learning technologies. These events affected, among other things: content and aims of the geometry curriculum; the nature of mathematical activity as construed by both mathematicians and mathematics educators; and, the resources students are given for engaging in mathematical activity. Before embarking through the notable events, it is necessary to consider the "big bang" of geometry, namely the moment in time that shaped the future life of the geometry curriculum. This corresponds to the emergence of Euclidean geometry. Given its influence on the shape of the geometry curriculum, familiarity with the nature of the geometry articulated in Euclid’s Elements is essential to understanding the many tensions that surround the school geometry curriculum. Several themes emerge over the course of the monograph, and include: the aims and means of the geometry curriculum, the importance of proof in geometry, the role of visualization and tactile experiences, the fusion between solid and plane geometry, the curricular connections between geometry and algebra, and the use of motion and continuity. The intended audience would include curriculum developers, researchers, teachers, and curriculum supervisors.

A History in Sum

Author : Steve Nadis
Publisher : Harvard University Press
ISBN 13 : 0674727894
Total Pages : 272 pages
Book Rating : 4.6/5 (747 download)

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Book Synopsis A History in Sum by : Steve Nadis

Download or read book A History in Sum written by Steve Nadis and published by Harvard University Press. This book was released on 2013-11-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the twentieth century, American mathematicians began to make critical advances in a field previously dominated by Europeans. Harvard’s mathematics department was at the center of these developments. A History in Sum is an inviting account of the pioneers who trailblazed a distinctly American tradition of mathematics—in algebraic geometry and topology, complex analysis, number theory, and a host of esoteric subdisciplines that have rarely been written about outside of journal articles or advanced textbooks. The heady mathematical concepts that emerged, and the men and women who shaped them, are described here in lively, accessible prose. The story begins in 1825, when a precocious sixteen-year-old freshman, Benjamin Peirce, arrived at the College. He would become the first American to produce original mathematics—an ambition frowned upon in an era when professors largely limited themselves to teaching. Peirce’s successors—William Fogg Osgood and Maxime Bôcher—undertook the task of transforming the math department into a world-class research center, attracting to the faculty such luminaries as George David Birkhoff. Birkhoff produced a dazzling body of work, while training a generation of innovators—students like Marston Morse and Hassler Whitney, who forged novel pathways in topology and other areas. Influential figures from around the world soon flocked to Harvard, some overcoming great challenges to pursue their elected calling. A History in Sum elucidates the contributions of these extraordinary minds and makes clear why the history of the Harvard mathematics department is an essential part of the history of mathematics in America and beyond.

Rewriting the History of School Mathematics in North America 1607-1861

Author : Nerida F. Ellerton
Publisher : Springer Science & Business Media
ISBN 13 : 9400726384
Total Pages : 230 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Rewriting the History of School Mathematics in North America 1607-1861 by : Nerida F. Ellerton

Download or read book Rewriting the History of School Mathematics in North America 1607-1861 written by Nerida F. Ellerton and published by Springer Science & Business Media. This book was released on 2012-01-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.

Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics

Author : M.A. (Ken) Clements
Publisher : Springer
ISBN 13 : 3319025058
Total Pages : 204 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics by : M.A. (Ken) Clements

Download or read book Thomas Jefferson and his Decimals 1775–1810: Neglected Years in the History of U.S. School Mathematics written by M.A. (Ken) Clements and published by Springer. This book was released on 2014-11-19 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson’s quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America. The book describes a remarkable study showing how the United States’ decision to adopt a fully decimalized, carefully conceived national currency ultimately had a profound effect on U.S. school mathematics curricula. The book shows, by analyzing a large set of arithmetic textbooks and an even larger set of handwritten cyphering books, that although most eighteenth- and nineteenth-century authors of arithmetic textbooks included sections on vulgar and decimal fractions, most school students who prepared cyphering books did not study either vulgar or decimal fractions. In other words, author-intended school arithmetic curricula were not matched by teacher-implemented school arithmetic curricula. Amazingly, that state of affairs continued even after the U.S. Mint began minting dollars, cents and dimes in the 1790s. In U.S. schools between 1775 and 1810 it was often the case that Federal money was studied but decimal fractions were not. That gradually changed during the first century of the formal existence of the United States of America. By contrast, Chapter 6 reports a comparative analysis of data showing that in Great Britain only a minority of eighteenth- and nineteenth-century school students studied decimal fractions. Clements and Ellerton argue that Jefferson’s success in establishing a system of decimalized Federal money had educationally significant effects on implemented school arithmetic curricula in the United States of America. The lens through which Clements and Ellerton have analyzed their large data sets has been the lag-time theoretical position which they have developed. That theory posits that the time between when an important mathematical “discovery” is made (or a concept is “created”) and when that discovery (or concept) becomes an important part of school mathematics is dependent on mathematical, social, political and economic factors. Thus, lag time varies from region to region, and from nation to nation. Clements and Ellerton are the first to identify the years after 1775 as the dawn of a new day in U.S. school mathematics—traditionally, historians have argued that nothing in U.S. school mathematics was worthy of serious study until the 1820s. This book emphasizes the importance of the acceptance of decimal currency so far as school mathematics is concerned. It also draws attention to the consequences for school mathematics of the conscious decision of the U.S. Congress not to proceed with Thomas Jefferson’s grand scheme for a system of decimalized weights and measures.

The Teaching and History of Mathematics in the United States

Author : Florian Cajori
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Teaching and History of Mathematics in the United States by : Florian Cajori

Download or read book The Teaching and History of Mathematics in the United States written by Florian Cajori and published by . This book was released on 1890 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Final Report of the National Committee of Fifteen on Geometry Syllabus

Author : National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (6 download)

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Book Synopsis Final Report of the National Committee of Fifteen on Geometry Syllabus by : National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus

Download or read book Final Report of the National Committee of Fifteen on Geometry Syllabus written by National Education Association of the United States. National Committee of Fifteen on Geometry Syllabus and published by . This book was released on 1912 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The American Curriculum

Author : George Willis
Publisher : Greenwood
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The American Curriculum by : George Willis

Download or read book The American Curriculum written by George Willis and published by Greenwood. This book was released on 1993 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time marked by strong demands for educational reform, the American school curriculum is a topic of special concern. This volume provides a comprehensive historical record of the evolution of the curriculum in America from the colonial period to the present day. The editors have compiled a collection of influential and representative documents in primary, secondary, and higher education in the United States. Each document is introduced by a short essay that discusses its historical context and significance. The result is a valuable chronicle of the development of the American school curriculum. The work begins with an introductory piece that overviews the development of the curriculum and surveys the most important works on curriculum history. The introduction is followed by excerpts from 34 documents representative of the school curriculum from The Rules and Course of Study of Harvard College, 1642 to the 1983 report, A Nation at Risk: The Imperative for Educational Reform. The essay that introduces each document closes with a brief bibliography, and the volume concludes with a more extensive list of sources for further reading. By consulting this reference, historians and educators can trace the development of the curriculum over the last 350 years.

Math with Bad Drawings

Author : Ben Orlin
Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Math with Bad Drawings by : Ben Orlin

Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

The Teaching and History of Mathematics in the United States

Author : Cajori
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (882 download)

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Book Synopsis The Teaching and History of Mathematics in the United States by : Cajori

Download or read book The Teaching and History of Mathematics in the United States written by Cajori and published by . This book was released on 1890 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Toward Mathematics for All

Author : Nerida Ellerton
Publisher : Springer Nature
ISBN 13 : 3030857247
Total Pages : 462 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Toward Mathematics for All by : Nerida Ellerton

Download or read book Toward Mathematics for All written by Nerida Ellerton and published by Springer Nature. This book was released on 2022-06-27 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. Unlike most other histories of mathematics now available, the emphasis is on the gradual emergence of "mathematics for all" programs and associated changes in thinking which drove this emergence. The book takes account of changing ideas about intended, implemented and attained mathematics curricula for learners of all ages. It also pays attention to the mathematics itself, and to how it was taught and learned.

Knowledge Worlds

Author : Reinhold Martin
Publisher : Columbia University Press
ISBN 13 : 0231548575
Total Pages : 681 pages
Book Rating : 4.2/5 (315 download)

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Book Synopsis Knowledge Worlds by : Reinhold Martin

Download or read book Knowledge Worlds written by Reinhold Martin and published by Columbia University Press. This book was released on 2021-03-16 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: What do the technical practices, procedures, and systems that have shaped institutions of higher learning in the United States, from the Ivy League and women’s colleges to historically black colleges and land-grant universities, teach us about the production and distribution of knowledge? Addressing media theory, architectural history, and the history of academia, Knowledge Worlds reconceives the university as a media complex comprising a network of infrastructures and operations through which knowledge is made, conveyed, and withheld. Reinhold Martin argues that the material infrastructures of the modern university—the architecture of academic buildings, the configuration of seminar tables, the organization of campus plans—reveal the ways in which knowledge is created and reproduced in different kinds of institutions. He reconstructs changes in aesthetic strategies, pedagogical techniques, and political economy to show how the boundaries that govern higher education have shifted over the past two centuries. From colleges chartered as rights-bearing corporations to research universities conceived as knowledge factories, educating some has always depended upon excluding others. Knowledge Worlds shows how the division of intellectual labor was redrawn as new students entered, expertise circulated, science repurposed old myths, and humanists cultivated new forms of social and intellectual capital. Combining histories of architecture, technology, knowledge, and institutions into a critical media history, Martin traces the uneven movement in the academy from liberal to neoliberal reason.

Variability is the Rule

Author : John P. Smith
Publisher : IAP
ISBN 13 : 1617351997
Total Pages : 235 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Variability is the Rule by : John P. Smith

Download or read book Variability is the Rule written by John P. Smith and published by IAP. This book was released on 2010-12-01 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to No Child Let Behind, states have developed mathematics curriculum frameworks that outline their intended curriculum for grades K–8. While some have indicated that districts or individual schools may use their framework as a model for specific curricular programs, others have taken a more prescriptive or even mandatory stance. Collectively, these frameworks present a sense of the national mathematics program and what we expect students learn. This volume follows The Intended Curriculum as Represented in State Mathematics Curriculum Standards: Consensus or Confusion? (Reys). While the Reys volume focused on number and operations, algebra and reasoning strands, the Smith volume analyzes geometry, measurement, probability, and statistics strands. It also presents an analysis what verbs used tell us about the cognitive demand of grade level expectations. This volume, even more than the Reys volume, emphasizes the theme of variability in the content, expression, and clarity of grade level expectations across the states. As the nation moves toward implementation of the Common Core Standards, this volume highlights some of the challenges teachers and other school personnel face in interpreting mathematics grade-level standards as goals for classroom teaching. The shift from 50 state standards to one document does not resolve this basic challenge.

Abraham Lincoln’s Cyphering Book and Ten other Extraordinary Cyphering Books

Author : Nerida F. Ellerton
Publisher : Springer Science & Business Media
ISBN 13 : 3319025023
Total Pages : 367 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Abraham Lincoln’s Cyphering Book and Ten other Extraordinary Cyphering Books by : Nerida F. Ellerton

Download or read book Abraham Lincoln’s Cyphering Book and Ten other Extraordinary Cyphering Books written by Nerida F. Ellerton and published by Springer Science & Business Media. This book was released on 2014-03-26 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-illustrated book provides strong qualitative and comparative support for the main arguments developed by Nerida Ellerton and Ken Clements in their groundbreaking Rewriting this History of School Mathematics in North America 1607–1861: The Central Role of Cyphering Books. Eleven extraordinary handwritten school mathematics manuscripts are carefully analyzed—six were prepared entirely in Great Britain, four entirely in North America, and 1 partly in Great Britain and partly in North America. The earliest of the 11 cyphering books was prepared around 1630, and the latest in 1835. Seven of the manuscripts were arithmetic cyphering books; three were navigation cyphering books, and one was a mensuration/surveying manuscript. One of the cyphering books examined in this book was prepared, over the period 1819–1826, by a young Abraham Lincoln, when he was attending small one-teacher schools in remote Spencer County, Indiana. Chapter 6 in this book provides the first detailed analysis of young Abraham’s cyphering book—which is easily the oldest surviving Lincoln manuscript. Another cyphering book, this one prepared by William Beattie in 1835, could have been prepared as a special gift for the King of England. The analyses make clear the extent of the control which the cyphering tradition had over school mathematics in North America and Great Britain between 1630 and 1840. In their final chapter Ellerton and Clements identify six lessons from their research into the cyphering tradition which relate to present-day circumstances surrounding school mathematics. These lessons are concerned with sharp differences between intended, implemented and attained curricula, the remarkable value that many students placed upon their cyphering books, the ethnomathematical circumstances which surrounded the preparations of the extraordinary cyphering books, and qualitative differences between British and North American school mathematics.

International Perspectives on Mathematics Teacher Education

Author : Denisse R Thompson
Publisher : IAP
ISBN 13 : 1648026311
Total Pages : 253 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis International Perspectives on Mathematics Teacher Education by : Denisse R Thompson

Download or read book International Perspectives on Mathematics Teacher Education written by Denisse R Thompson and published by IAP. This book was released on 2021-09-01 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teacher education includes the mathematics content teachers need to understand, ways that pedagogical approaches are developed, messages about the nature of mathematics teaching and learning, and interfaces between tertiary preparation and school contexts. Scholars from Sweden, France, Malawi, Singapore, New Zealand, Brazil, the USA, and Canada provide insights for the mathematics education community’s understanding of how teacher educators structure, develop, and implement their respective mathematics teacher education programs. Several themes emerged across the chapters, including: varied approaches to developing culturally responsive pedagogies and/or Indigenous perspectives; issues and challenges in fostering partnerships and collaborations; strategies for developing mathematics knowledge for teaching; and preparing flexible and resourceful teachers. Praise for International Perspectives on Mathematics Teacher Education: "International Perspectives on Mathematics Teacher Education explores different facets of mathematics teacher education in eight countries across five continents. The authors and editors answer important questions and open the door to critical conversations about policies and practices related to mathematics teacher recruitment, preparation, and professional development, among other topics. Every reader will develop new perspectives as they learn how one institution is engaging with Indigenous perspectives while other countries struggle with an insufficient supply of certified teachers. This book clearly demonstrates challenges, constraints, nuances and complexities to initiating and maintaining improvement across systems to enhance the work and spaces of mathematics teachers within different historical, cultural, social, and political contexts. This volume also generates ideas and opportunities for leaders, policymakers, and teacher educators to consider and learn from international colleagues about different approaches to mathematics teacher education practice and policy. Undoubtedly, debates about standards, content and experiences in programs, and accountability structures such as accreditation will continue. It is clear from the insights in this volume that strengthening mathematics teacher education will require stronger collaborations, frameworks, policies, infrastructure, and investments on a global scale and it will be critical to collaborate with and learn from colleagues in international settings. These conversations will require reciprocity, interdependence, and resilience as we pursue the ultimate goal of equipping the field of mathematics teacher education." Kathryn Chval Dean, College of Education Professor of Mathematics Education University of Illinois Chicago

History of Mathematics Teaching and Learning

Author : Alexander Karp
Publisher : Springer
ISBN 13 : 3319316168
Total Pages : 47 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis History of Mathematics Teaching and Learning by : Alexander Karp

Download or read book History of Mathematics Teaching and Learning written by Alexander Karp and published by Springer. This book was released on 2016-07-26 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The main topics you will find in “ICME-13 Topical Survey” include: • Discussions of methodological issues in the history of mathematics education and of the relation between this field and other scholarly fields. • The history of the formation and transformation of curricula and textbooks as a reflection of trends in social-economic, cultural and scientific-technological development. • The influence of politics, ideology and economics on the development of mathematics education, from a historical perspective. • The history of the preeminent mathematics education organizations and the work of leading figures in mathematics education. • Mathematics education practices and tools and the preparation of mathematics teachers, from a historical perspective.

Final Report of the National Committee of Fifteen on Geometry Syllabus. July, 1912

Author : National Education Association of the Un
Publisher : Palala Press
ISBN 13 : 9781355222743
Total Pages : 58 pages
Book Rating : 4.2/5 (227 download)

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Book Synopsis Final Report of the National Committee of Fifteen on Geometry Syllabus. July, 1912 by : National Education Association of the Un

Download or read book Final Report of the National Committee of Fifteen on Geometry Syllabus. July, 1912 written by National Education Association of the Un and published by Palala Press. This book was released on 2016-05-02 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Researching Pedagogy and Practice with Canadian Mathematics Teachers

Author : David A Reid
Publisher : IAP
ISBN 13 : 1648021395
Total Pages : 257 pages
Book Rating : 4.6/5 (48 download)

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Book Synopsis Researching Pedagogy and Practice with Canadian Mathematics Teachers by : David A Reid

Download or read book Researching Pedagogy and Practice with Canadian Mathematics Teachers written by David A Reid and published by IAP. This book was released on 2020-06-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past two decades have seen an increased interest in education, especially in core areas such as mathematics, language and science. This is in part a consequence of the increase in the number of international comparisons of educational outcomes, such as PISA and TIMSS. Much research has focused on the contributions that curricula, financial resources, parental support, and so on, might have on educational outcomes. A factor that seems likely to have a very significant effect on student achievement, teachers’ practices and beliefs, has received little attention. This book reports results from a research program that sought to develop and employ research methods to compare teachers’ practices and beliefs across Canada. It provides insight into the challenge of such research, and describes teachers’ contexts, beliefs and practices, and how they differ, in four regions and across two languages. Using a multivocal ethnography approach (Tobin, 1999) teachers were involved in the preparation and discussion of videos of their own teaching and that of others. This approach resulted in not only insights into the teachers’ pedagogies and practices, but also opportunities for the teachers to reflect on their own teaching in new ways, and for researchers to reflect on research practices and orientations. The work is innovative in several ways. In a field crowded with research on teachers’ practices, beliefs and knowledge this research helps to unearth the implicit values that underlie the way teachers see teaching itself. Through the process of observation of each other’s practice, the teachers became aware of their own pedagogies, giving them new insights into their values and practices. Researchers also engaged in a parallel process of reflection on their own practices as observers of teachers, with similar insights into the values guiding their work. This book will be of interest to government policy makers, teachers and teacher educators, as well as researchers in Mathematics Education. Members of the AERA SIG in Research in Mathematics Education, the Canadian Mathematics Education Study Group, the NCTM, and provincial Mathematics teacher associations are potential readers. Praise for Researching Pedagogy and Practice with Canadian Mathematics Teachers: What a treasure! This book is an important resource for anyone interested in high quality mathematics teaching. It fills a gap in our understanding of how mathematics is taught across Canada, where students are among the highest performing on international mathematics assessments. The studies reported are conceptually grounded, methodologically rigorous, and filled with nuanced observations of the similarity and variation in classroom teaching across many of the Canadian provinces. Edward A. Silver Senior Associate Dean for Research & Graduate Studies William A. Brownell Collegiate Professor of Education & Professor of Mathematics University of Michigan