The Mathematics That Every Secondary Math Teacher Needs To Know

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The Mathematics that Every Secondary Math Teacher Needs to Know

Alan Sultan,Alice F. Artzt
The Mathematics that Every Secondary Math Teacher Needs to Know Book PDF

Author : Alan Sultan,Alice F. Artzt
Publisher : Routledge
Page : 761 pages
File Size : 52,6 Mb
Release : 2010-09-13
Category : Education
ISBN : 9781135157838

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The Mathematics that Every Secondary Math Teacher Needs to Know by Alan Sultan,Alice F. Artzt Pdf

What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT": M Multiple Approaches/Representations A Applications to Real Life T Technology H History N Nature of Mathematics: Reasoning and Proof S Solving Problems I Interlinking Concepts: Connections G Grade Levels H Honing of Mathematical Skills T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.

The Mathematics That Every Secondary School Math Teacher Needs to Know

Alan Sultan,Alice F. Artzt
The Mathematics That Every Secondary School Math Teacher Needs to Know Book PDF

Author : Alan Sultan,Alice F. Artzt
Publisher : Routledge
Page : 760 pages
File Size : 54,6 Mb
Release : 2017-07-20
Category : Education
ISBN : 9781315391892

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The Mathematics That Every Secondary School Math Teacher Needs to Know by Alan Sultan,Alice F. Artzt Pdf

Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided

Teaching Mathematics at Secondary Level

Tony Gardiner
Teaching Mathematics at Secondary Level Book PDF

Author : Tony Gardiner
Publisher : Open Book Publishers
Page : 334 pages
File Size : 45,8 Mb
Release : 2016-02-08
Category : Mathematics
ISBN : 9781783741403

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Teaching Mathematics at Secondary Level by Tony Gardiner Pdf

Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.

The Inspirational Untold Stories of Secondary Mathematics Teachers

Alice F. Artzt,Frances R. Curcio
The Inspirational Untold Stories of Secondary Mathematics Teachers Book PDF

Author : Alice F. Artzt,Frances R. Curcio
Publisher : IAP
Page : 117 pages
File Size : 48,5 Mb
Release : 2020-08-01
Category : Mathematics
ISBN : 9781648022036

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The Inspirational Untold Stories of Secondary Mathematics Teachers by Alice F. Artzt,Frances R. Curcio Pdf

Personal story telling is a powerful and interesting medium through which one can share experiences, insights, successes, and difficulties in meaningful contexts. Teaching in general, and mathematics teaching in particular, is much more than what meets the eye. Most people have only experienced teaching from the vantage point of a student and have impressions of teachers and teaching that are simplistic and usually totally incorrect. The lives of mathematics teachers are varied and contrary to what one might think they are. The journeys of exemplary in-service teachers are not linear; there are many bends, potholes, and detours through which they have navigated. The "road conditions" of teaching are fodder for the 12 untold stories collected in this volume, whose authors graduated from a special four-year undergraduate mathematics teacher preparation program, containing innovative components, many of which are revealed through the experiences described in their stories. The range of narratives vary in every possible way, from the reasons they became mathematics teachers, to the number of years teaching, to the experiences encountered while teaching, to the different roles they have assumed throughout their careers. Nevertheless, one strand permeates all of the stories: their passion for what they do and their ability to reflect on early college experiences that contribute to their performance. These inspiring narratives will shed light on the developmental processes of mathematics teachers, what it means to teach mathematics, and the components of a secondary mathematics teacher preparation program that can contribute to their expertise. Praise for The Inspirational Untold Stories of Secondary Mathematics Teachers: This lovely book contains personal stories about the process of becoming a mathematics teacher and the challenges and rewards of the early years of teaching. These stories highlight that the path to teaching is often indirect, rocky, and filled with doubts. But these poignant stories are powerful because they are so honest. I wish I’d read these stories before I experienced some of the joys and challenges of my early years of teaching because they would have prepared me for the roller coaster of emotion associated with entering this complex but beautiful profession. I think these stories will be helpful when working with prospective and early career teachers. Randolph Philipp Professor of Mathematics Education School of Teacher Education, San Diego State University Immediate Past President, Association of Mathematics Teacher Educators (AMTE) This is a book about real people and true stories; the narratives are really insightful and truly inspirational. It is not only a book that those involved in teacher preparation programs may find useful and informative to read, but also a book that could provide insights and inspiration to those who are exploring what it is like to be a teacher. The journey of each of these success stories, despite the diverse starting point of each, speaks volumes of the importance of an effective teacher preparation program that not only nurtures but also provides support for the growth of the preservice teachers. The narratives in this book are certainly a testimonial to what we often hear–Teachers are more often made than born. Ngan Hoe Lee Associate Professor, Mathematics & Mathematics Education National Institute of Education, Singapore

Learning to Teach Mathematics in the Secondary School

Sue Johnston-Wilder,Peter Johnston-Wilder,David Pimm
Learning to Teach Mathematics in the Secondary School Book PDF

Author : Sue Johnston-Wilder,Peter Johnston-Wilder,David Pimm
Publisher : Routledge
Page : 332 pages
File Size : 55,6 Mb
Release : 2005-01-14
Category : Education
ISBN : 9781134291861

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Learning to Teach Mathematics in the Secondary School by Sue Johnston-Wilder,Peter Johnston-Wilder,David Pimm Pdf

Learning to Teach Mathematics in the Secondary School covers a wide range of issues in the teaching of mathematics and gives supporting activities to students to enable them to translate theory into practice. Topics covered include: mathematics in the National Curriculum different teaching approaches using ICT mathematics education for pupils with special needs in mathematics assessment and public examinations teaching mathematics post-16 professional development.

Mathematics for High School Teachers

Zalman Usiskin
Mathematics for High School Teachers Book PDF

Author : Zalman Usiskin
Publisher : Prentice Hall
Page : 616 pages
File Size : 51,8 Mb
Release : 2003
Category : Education
ISBN : UVA:X004662628

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Mathematics for High School Teachers by Zalman Usiskin Pdf

For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.

Every Math Learner, Grades 6-12

Nanci N. Smith
Every Math Learner Grades 6 12 Book PDF

Author : Nanci N. Smith
Publisher : Corwin Press
Page : 302 pages
File Size : 47,9 Mb
Release : 2017-02-02
Category : Education
ISBN : 9781506390345

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Every Math Learner, Grades 6-12 by Nanci N. Smith Pdf

As a secondary mathematics teacher, you know that students are different and learn differently. And yet, when students enter your classroom, you somehow must teach these unique individuals deep mathematics content using rigorous standards. The curriculum is vast and the stakes are high. Is differentiation really the answer? How can you make it work? Nationally recognized math differentiation expert Nanci Smith debunks the myths, revealing what differentiation is and isn’t. In this engaging book Smith reveals a practical approach to teaching for real learning differences. You’ll gain insights into an achievable, daily differentiation process for ALL students. Theory-lite and practice-heavy, this book shows how to maintain order and sanity while helping your students know, understand, and even enjoy doing mathematics. Classroom videos, teacher vignettes, ready-to-go lesson ideas and rich mathematics examples help you build a manageable framework of engaging, sense-making math. Busy secondary mathematics teachers, coaches, and teacher teams will learn to Provide practical structures for assessing how each of your students learns and processes mathematics concepts Design, implement, manage, and formatively assess and respond to learning in a differentiated classroom Plan specific, standards-aligned differentiated lessons, activities, and assessments Adjust current instructional materials and program resources to better meet students′ needs This book includes classroom videos, in-depth student work samples, student surveys, templates, before-and-after lesson demonstrations, examples of 5-day sequenced lessons, and a robust companion website with downloadables of all the tools in the books plus other resources for further planning. Every Math Learner, Grades 6-12 will help you know and understand your students as learners for daily differentiation that accelerates their mathematics comprehension. "This book is an excellent resource for teachers and administrators alike. It clearly explains key tenants of effective differentiation and through an interactive approach offers numerous practical examples of secondary mathematics differentiation. This book is a must read for any educator looking to reach all students." —Brad Weinhold, Ed.D., Assistant Principal, Overland High School

The Math Teacher's Toolbox

Bobson Wong,Larisa Bukalov
The Math Teacher s Toolbox Book PDF

Author : Bobson Wong,Larisa Bukalov
Publisher : John Wiley & Sons
Page : 560 pages
File Size : 50,7 Mb
Release : 2020-06-04
Category : Education
ISBN : 9781119573203

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The Math Teacher's Toolbox by Bobson Wong,Larisa Bukalov Pdf

Math teachers will find the classroom-tested lessons and strategies in this book to be accessible and easily implemented in the classroom The Teacher’s Toolbox series is an innovative, research-based resource providing teachers with instructional strategies for students of all levels and abilities. Each book in the collection focuses on a specific content area. Clear, concise guidance enables teachers to quickly integrate low-prep, high-value lessons and strategies in their middle school and high school classrooms. Every strategy follows a practical, how-to format established by the series editors. The Math Teacher's Toolbox contains hundreds of student-friendly classroom lessons and teaching strategies. Clear and concise chapters, fully aligned to Common Core math standards, cover the underlying research, required technology, practical classroom use, and modification of each high-value lesson and strategy. This book employs a hands-on approach to help educators quickly learn and apply proven methods and techniques in their mathematics courses. Topics range from the planning of units, lessons, tests, and homework to conducting formative assessments, differentiating instruction, motivating students, dealing with “math anxiety,” and culturally responsive teaching. Easy-to-read content shows how and why math should be taught as a language and how to make connections across mathematical units. Designed to reduce instructor preparation time and increase student engagement and comprehension, this book: Explains the usefulness, application, and potential drawbacks of each instructional strategy Provides fresh activities for all classrooms Helps math teachers work with ELLs, advanced students, and students with learning differences Offers real-world guidance for working with parents, guardians, and co-teachers The Math Teacher's Toolbox: Hundreds of Practical ideas to Support Your Students is an invaluable source of real-world lessons, strategies, and techniques for general education teachers and math specialists, as well as resource specialists/special education teachers, elementary and secondary educators, and teacher educators.

Teaching Math at a Distance, Grades K-12

Theresa Wills
Teaching Math at a Distance Grades K 12 Book PDF

Author : Theresa Wills
Publisher : Corwin Press
Page : 194 pages
File Size : 47,7 Mb
Release : 2020-10-12
Category : Education
ISBN : 9781071837122

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Teaching Math at a Distance, Grades K-12 by Theresa Wills Pdf

Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.

Learning and Teaching Early Math

Douglas H. Clements,Julie Sarama
Learning and Teaching Early Math Book PDF

Author : Douglas H. Clements,Julie Sarama
Publisher : Taylor & Francis
Page : 489 pages
File Size : 41,9 Mb
Release : 2020-12-29
Category : Education
ISBN : 9781000288445

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Learning and Teaching Early Math by Douglas H. Clements,Julie Sarama Pdf

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

Knowing and Teaching Elementary Mathematics

Liping Ma
Knowing and Teaching Elementary Mathematics Book PDF

Author : Liping Ma
Publisher : Routledge
Page : 230 pages
File Size : 51,5 Mb
Release : 2020-01-06
Category : Education
ISBN : 9781000027341

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Knowing and Teaching Elementary Mathematics by Liping Ma Pdf

The 20th anniversary edition of this groundbreaking and bestselling volume offers powerful examples of the mathematics that can develop the thinking of elementary school children. Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. Along with the original studies of U.S. and Chinese teachers’ mathematical understanding, this 20th anniversary edition includes a new preface and a 2013 journal article by Ma, "A Critique of the Structure of U.S. Elementary School Mathematics" that describe differences in U.S. and Chinese elementary mathematics. These are augmented by a new series editor’s introduction and two key journal articles that frame and contextualize this seminal work.

Teaching Mathematics Through Problem-Solving

Akihiko Takahashi
Teaching Mathematics Through Problem Solving Book PDF

Author : Akihiko Takahashi
Publisher : Routledge
Page : 159 pages
File Size : 51,6 Mb
Release : 2021-03-31
Category : Education
ISBN : 9781000359862

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Teaching Mathematics Through Problem-Solving by Akihiko Takahashi Pdf

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

The Mathematics Practitioner’s Guidebook for Collaborative Lesson Research

Akihiko Takahashi,Geoffrey Wake
The Mathematics Practitioner s Guidebook for Collaborative Lesson Research Book PDF

Author : Akihiko Takahashi,Geoffrey Wake
Publisher : Taylor & Francis
Page : 237 pages
File Size : 41,7 Mb
Release : 2023-10-02
Category : Education
ISBN : 9781000958560

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The Mathematics Practitioner’s Guidebook for Collaborative Lesson Research by Akihiko Takahashi,Geoffrey Wake Pdf

This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools. Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors define CLR and provide examples of successful CLR using real-life case studies, as well as introducing pathways for getting started and practical suggestions for implementation into different school environments. Across these examples, readers will: understand the essence of Lesson Study, considered as CLR, and its important features be advised what participants in CLR should expect to do (observing research lessons, designing lessons, teaching research lessons, facilitating post-lesson discussion, etc.) and provide guidance and support with this enactment be advised on how to develop, embed, and sustain CLR communities preview potential outcomes over time from undertaking CLR Research lesson proposals and plans to support readers in understanding CLR are also included. Ideal for practicing teachers, teacher leaders, teacher educators, and professional developers involved in mathematics teaching, this book offers first-of-its-kind entry points for CLR. Its combination of theory and practice will empower educators to implement this increasingly popular vehicle for understanding students’ learning of mathematics.

A Focus on Fractions

Marjorie M. Petit,Robert E. Laird,Caroline B. Ebby,Edwin L. Marsden
A Focus on Fractions Book PDF

Author : Marjorie M. Petit,Robert E. Laird,Caroline B. Ebby,Edwin L. Marsden
Publisher : Taylor & Francis
Page : 231 pages
File Size : 51,5 Mb
Release : 2022-07-29
Category : Education
ISBN : 9781000601992

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A Focus on Fractions by Marjorie M. Petit,Robert E. Laird,Caroline B. Ebby,Edwin L. Marsden Pdf

The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers’ experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression—based on research conducted with hundreds of teachers—to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on . . . collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers

Nicholas H. Wasserman
Connecting Abstract Algebra to Secondary Mathematics for Secondary Mathematics Teachers Book PDF

Author : Nicholas H. Wasserman
Publisher : Springer
Page : 461 pages
File Size : 41,5 Mb
Release : 2018-12-12
Category : Education
ISBN : 9783319992143

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Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by Nicholas H. Wasserman Pdf

Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.