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Selected Writings from the Journal of Mathematics Council Alberta Teachers. Association. Celebrating 50 Years (1962-2012) Delta-K


A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing aborder with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the AlbertaTeachers' Association. This volume, which presents ten memorable articles from each of the pastfive decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity toshare this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematicseducation. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominentmember of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as acontemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as aresource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics educationresearchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on thework of the Mathematics Council of the Alberta Teachers' Association.

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Craig Smorynski Chapters in Mathematics. from Pi to Pell


Growing out of a course in the history of mathematics given to school teachers,the present book covers a number of topics of elementary mathematics from both the mathematical and historical perspectives.Included are topics from geometry (π, Napoleon's Theorem, trigonometry),recreational mathematics (the Pell equation, Fibonacci numbers), and computational mathematics (finding square roots, mathematical tables). Although written with the needs of the mathematics teacher in mind, the book can be read profitably by any high school graduate with a liking for mathematics.

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Donald Bindner Mathematics for the Liberal Arts


Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.

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Selected Writings from the Journal of British Columbia Association Mathematics Teachers. Celebrating 50 years (1962-2012) Vector


A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationThe teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the British Columbia mathematics education community. As a result, this monograph provides a historical ac-count as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a re-source for a variety of individuals including: teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the British Columbia Association of Mathe-matics Teachers.

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Michael K. J. Goodman An Introduction to the Early Development of Mathematics


An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.

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How Chinese Learn Mathematics. Perspectives from Insiders


“A noteworthy feature of the book is that eleven of the chapter authors work in mainland China … The edited collection is a significant contribution to the research literature and provides an important resource in the field.” Research in Mathematics Education “In a context of revolving reforms of the mathematical curricula in the West, the research presented in How Chinese Learn Mathematics certainly gives a lot of food for thought about effectively combining a problem-oriented approach to basic mathematical knowledge and skills with a conceptual and abstract representation of mathematical objects.”EASTM “The book copes with the issue of mathematics education in a culturally attentive way and offer hints to reconsider policies on mathematics education in the Western world. Hence, it should be present in the library of each education department.”EMS Newsletter The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the...

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The Work of Mathematics Teacher Educators. Exchanging Ideas for Effective Practice


This monograph marks a major step in the growth of the Association of Mathematics Teacher Educators (AMTE) as the leading organization for mathematics teacher educators. It is an effort by AMTE to provide further support for the work of mathematics teacher educators throughout the United States. It is hoped that readers will find this monograph to be useful in their day-to-day work with mathematics teachers. Learning to be a mathematics teacher is a life-long process, but so is learning to be a mathematics teacher educator. Just as mathematics teachers need opportunities for professional growth, so do mathematics teacher educators. Publications such as this monograph can serve an important role in the professional development of mathematics teacher educators.

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Ranjit Singh Engineering Mathematics for B.Tech Students


Document from the year 2014 in the subject Mathematics - Applied Mathematics, grade: 13, , course: B.Tech, Semester-II, language: English, abstract: Its applied mathematics notes for B.Tech students of Second Semester of Indian Universities.Strictly according to the syllabus of P.T.U (Jalandhar)

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Critical Issues In Mathematics Education (PB)


A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied toa situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments orjudgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authorscontributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics insociety and the implications for education. Traditional reasons for teaching mathematics include: preparing a newgeneration of mathematics researchers and a cadre of technically competent users of mathematics; training students tothink logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remainvalid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing manyaspects of contemporary society, that will connect mathematics education to the lived experiences of students, theircommunities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians andmathematics educators.The book is organized in four sections (1) Mathematics education: For what and why?(2) Globalization and cultural...

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Critical Mathematics Education. Theory, Praxis, and Reality


A volume in Cognition, Equity, & Society: International PerspectivesSeries Editors: Bharath Sriraman, University of Montanaand Lyn English, Queensland University of TechnologyMathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the argumentsand controversy of politics and social life. However, critical mathematics challenges these assumptions andactively attacks the idea that mathematics is pure, objective, and value‐neutral. It argues that history, society,and politics have shaped mathematics-not only through its applications and uses but also through molding its concepts, methods, and evenmathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching andlearning of mathematics, showing how these are value‐laden activities indissolubly linked to social and political life. Instead, it argues that the valuesof openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship arenecessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice.This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field.Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, thehegemony o...

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Roger L. Cooke The History of Mathematics. A Brief Course


Praise for the Second Edition «An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential.» —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

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Mathew Akoko Assessment of the Effects Affective Student Characteristics and Educational Background on Mathematics Achievement at Level Higher Education in Cameroon


Doctoral Thesis / Dissertation from the year 2010 in the subject Sociology - Knowledge and Information, grade: A, Atlantic International University (School of Social and Human Studies), course: Doctorate in Education, language: English, abstract: The primary purpose of this research was to investigate the effects of individual student affective factors and educational background on mathematics achievement among higher education students as measured by semester grades in the core mathematics courses. Student Locus of Control, Self-Efficacy, and Mathematics Anxiety were the specific individual student affective factors that were examined in the study. Educational backgrounds of the students were examined as an attempt to explain the differences in mathematics performance at the higher education level. To achieve this, high school teacher characteristics and instructional practices in influencing students' affective factors were examined. All of the analyses presented were performed on data collected for the study from two institutions of higher education in Cameroon for the student participants and from high school mathematics teachers of the English-Speaking and the French-Speaking subsystems of education. The results of the study show that student internal locus of control, high mathematics self-efficacy, and Mathematics Anxiety were associated with performance in mathematics at the higher education level. The results also revealed a high significant difference in the per...

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Vladimir Lepetic Principles of Mathematics. A Primer


Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.

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Graeme Partington Mathematics. First 100 Lessons


For the first time, all of your first 100 lessons of mathematics are in one book. Come on a journey that takes you from numbers and symbols to branches of mathematics including arithmetic, percentages, geometry, and algebra. Unlock the secrets of the mathematics of money. These first 100 lessons are presented in learning order to maximize your progress.

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Digital Curricula in School Mathematics


The mathematics curriculum - what mathematics is taught, to whom it is taught, and when it is taught - is the bedrock to understanding what mathematics students can, could, and should learn. Today's digital technology influences the mathematics curriculum in two quite different ways. One influence is on the delivery of mathematics through hardware such as desktops, laptops, and tablets. Another influence is on the doing of mathematics using software available on this hardware, but also available on the internet, calculators, or smart phones.These developments, rapidly increasing in their availability and decreasing in their cost, raise fundamental questions regarding a mathematics curriculum that has traditionally been focused on paper-and-pencil work and taught in many places as a set of rules to be practiced and learned.This volume presents the talks given at a conference held in 2014 at the University of Chicago, sponsored by the Center for the Study of Mathematics Curriculum. The speakers - experts from around the world and inside the USA - were asked to discuss one or more of the following topics:• changes in the nature and creation of curricular materials available to students• transformations in how students learn and how they demonstrate their learning• rethinking the role of the teacher and how students and teachers interact within a classroom and across distances from each otherThe result is a set of articles that are interesting and captivating, and challenge u...

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Brian Evans The Development of Mathematics Throughout the Centuries. A Brief History in a Cultural Context


Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested

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Scholarly Practices and Inquiry in the Preparation of Mathematics Teachers


The sixth monograph of AMTE highlights examples of the important scholarship of the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed acounts of work to improve preservice and inservice teacher preparation. Chapters address important issues such as: designing tasks to emphasize mathematics knowledge for teaching; capitalizing on opportunities for student teaching mentor learning; and learning to lead classroom mathematics discussions.

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Ed Wheeler, Jim Brawner Discrete Mathematics for Teachers (PB)


Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied source of problems for exploration and communication, expands knowledge of mathematics in directions related to elementary and middle school curricula, and is easily presented using our best understanding of the ways that mathematics is learned and taught. The presentation is right. In the spirit of NCTM's Principles and Standards for School Mathematics, topics are presented with careful attention to the best traditions of problem solving, reasoning and proof, communication, connections with other disciplines and other areas of mathematics, and varied modes of representation.

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Mathematics Teaching. Putting Research into Practice at All Levels


The seventh monograph of AMTE highlights examples of important scholarship of and for the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed accounts of work to improve teacher preparation. Chapters in this monograph take up a variety of issues such as using online social networking in the preparation of teachers, examining the impact of textbook-specific professional development, and offering a mathematics-specific reading in the content area course.

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Beatriz Silva DAmbrosio, Celi Espasandin Lopes Creative Insubordination In Brazilian Mathematics Education Research


This book presents examples of the scholarship of Brazilian mathematics educators. The authors who contributed to this collection situate their work within the construct of creative insubordination. With this collection we hope to increase the participation of Brazilian scholars in the international conversations of research on mathematics teaching and learning.

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Research on Technology and the Teaching Learning of Mathematics. Vol. 1, Syntheses (PB)


A volume in Research on Technology and the Teaching and Learningof Mathematics: Syntheses, Cases, and PerspectivesAccording to NCTM's Principles and Standards for School Mathematics, "Technology isessential in teaching and learning of mathematics; it influences the mathematics that is taughtand it enhances students' learning." How does research inform this clarion call for technology inmathematics teaching and learning? In response to the need to craft appropriate roles fortechnology in school mathematics new technological approaches have been applied to theteaching and learning of mathematics, and these approaches have been examined by researchersworld-wide.The first volume provides insight into what research suggests about the nature of mathematicslearning in technological environments. Included in this volume are syntheses of research ontechnology in the learning of rational number, algebra, elementary and secondary geometry,mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equityissues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technologyin their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technologyaffects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research hasprovided i...

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Mathematical Understanding for Secondary Teaching. A Framework and Classroom-Based Situations


A perennial discussion about teacher development is the optimal content background for teachers. Inrecent years, that discussion has taken center stage in the work of mathematics education researchers,mathematicians, mathematics professional developers, and mathematics education policymakers. Muchof the existing and prior work in this area has been directed toward mathematical knowledge forteaching at the elementary level. The work described in this volume takes a sometimes-neglectedapproach, focusing on the dynamic nature of mathematical understanding rather than on a stabledescription of mathematical knowledge, and on mathematics for secondary teaching rather thanmathematics for teaching at the elementary level.The work reported in Mathematical Understanding for Secondary Teaching: A Framework and Classroom-Based Situations is a practice-basedresponse to the question of what mathematical understandings secondary teachers could productively use in their teaching. For each of more than 50events, our team of almost 50 mathematics educators who were experienced mathematics teachers developed descriptions of the mathematics thatteachers could use-each of those descriptions (consisting of the event and the mathematics related to the event) is what we call a Situation. Wedeveloped our Framework for Mathematical Understanding for Secondary Teaching (MUST) based on an analysis of our entire set of Situations. Wecall the work practice-based because the MUST framework is based on actu...

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Macmillan Mathematics 3: Teachers Book


Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teachers Guide includes facsimiles of the Pupils Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.

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Macmillan Mathematics 1: Teachers Book


Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teachers Guide includes facsimiles of the Pupils Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.

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Macmillan Mathematics 5: Teachers Book


Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teachers Guide includes facsimiles of the Pupils Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.

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Paul Carus The Foundations of Mathematics


In this brief treatise, Carus traces the roots of his belief in the philosophical basis for mathematics and analyzes that basis after a historical overview of Euclid and his successors. He then examines his base argument and proceeds to a study of different geometrical systems, all pulled together in his epilogue, which examines matter, mathematics, and, ultimately, the nature of God.

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Approaches to Studying the Enacted Mathematics Curriculum


Curriculum materials are among the most pervasive and powerful influences on schoolmathematics. In many mathematics classes, student assignments, the questions theteacher asks, the ways students are grouped, the forms of assessment, and much moreoriginate in curriculum materials. At the same time, teachers have considerable latitude inhow they use their curriculum materials. Two classes making use of the same materialsmay differ markedly in what mathematics content is emphasized and how students are engaged in learning that content.This volume considers a variety of research tools for investigating the enactment of mathematics curriculum materials,describing the conceptualization, development, and uses of seven sets of tools. Mathematics education researchers,curriculum developers, teacher educators, district supervisors, teacher leaders, and math coaches will find insights that canimprove their work, and guidance for selecting, adapting, and using tools for understanding the complex relationshipbetween curriculum materials and their enactment in classroom instruction.

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