Developing Deep Knowledge in Middle School Mathematics

Developing Deep Knowledge in Middle School Mathematics

Author: Sergei Abramovich

Publisher: Springer Nature

ISBN: 9783030685645

Category: Education

Page: 433

View: 272

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This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

The Math Pact, Middle School

The Math Pact, Middle School

Author: Sarah B. Bush

Publisher: Corwin Press

ISBN: 9781544399584

Category: Education

Page: 208

View: 105

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A schoolwide solution for students’ mathematics success! Do you sometimes start to teach a mathematics concept and feel like you’re staring at a sea of bewildered faces? What happens when you discover students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to school, mathematics can seem like a disconnected mystery for students. Clear up the confusion with a Mathematics Whole-School Agreement! Expanded from the highly popular "Rules that Expire" series of NCTM articles, this essential guide leads educators through the collaborative step-by-step process of establishing a coherent and consistent learner-centered and equitable approach to mathematics instruction. Through this work, you will identify, streamline, and become passionate about using clear and consistent mathematical language, notations, representations, rules, and generalizations within and across classrooms and grades. Importantly, you’ll learn to avoid "rules that expire"—tricks that may seem to help students in one grade but hurt in the long run. Features of this book include · Abundant grade-specific examples · Effective working plans for sustainability · Barrier-busting tips, to-dos, and try-it-outs · Practical templates and checklists · PLC prompts and discussion points When teachers unite across grades, students hit the ground running every year. Take the next step together as a team and help all your students build on existing understanding to find new success and most importantly, love learning and doing mathematics!

Middle Math

Middle Math

Author: Mary B. Eron

Publisher: IAP

ISBN: 9781623969448

Category: Mathematics

Page: 241

View: 651

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(Orginally published in 2005) This monograph represents the work of many mathematics teacher educators explored the content knowledge and pedagogical knowledge that make up the middle grades learning experience. The middle grades remains a unique period of time in students' development and as such provides both challenges and promising opportunities for those who prepare teachers of middle grades mathematics. This work is the final product of an exciting NSF supported endeavor that gathered leaders in the field and explored curriculum, case studies of program models at several institutions, as well as issue papers on such key topics as assessment, technology, and preparing culturally responsive teachers. AMTE hopes this monograph will stimulate discussion and bring attention to this critical period of schooling.

Cases in Mathematics Teacher Education

Cases in Mathematics Teacher Education

Author: Margaret S. Smith

Publisher: IAP

ISBN: 9781623969486

Category: Mathematics

Page: 157

View: 369

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(Orginally published in 2008) The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.

A Decade of Middle School Mathematics Curriculum Implementation

A Decade of Middle School Mathematics Curriculum Implementation

Author: Margaret R. Meyer

Publisher: IAP

ISBN: 9781607528104

Category: Mathematics

Page: 317

View: 564

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Associate Editors Fran Arbaugh, University of Missouri–Columbia, David C. Webb, University of Colorado at Boulder and Murrel Brewer Hoover, WVSTEM Center @ Marshall University The purpose of this book is to document the work of the Show-Me Project (1997–2007) and to highlight lessons learned about curriculum implementation. Although the Show-Me Project was charged with promoting the dissemination and implementation of four distinct comprehensive curriculum programs (Connected Mathematics, Mathematics in Context, MathScape, and MathThematics), most of the lessons learned from this work are not curriculum specific. Rather, they cut across the four programs and share commonalities with standards-based curriculum reform at any level. We believe that documenting these lessons learned will be one of the legacies of the Show-Me Project. We anticipate that the comprehensive nature of this work will attract readers from multiple audiences that include state and district mathematics supervisors, middle grades mathematics teachers and administrators involved in curriculum reform, as well as mathematics teacher educators. Those about to embark on the review of curriculum materials will appreciate reading about the processes employed by other districts. Readers with interests in a particular curriculum program will be able to trace the curriculum-specific chapters to gain insights into how the design of the curricula relate to professional development, adoption and implementation issues, and teachers’ personal experience using the curriculum materials. Individuals who provide professional development at the middle grades level will find chapters that they can use for both general and focused discussions. Teachers at all stages of implementation will recognize their own experiences in reading and reflecting on the stories of teacher change. Mathematics educators will find ideas on how these curricula can be used in the preparation of preservice middle grades teachers.

Prospective Mathematics Teachers’ Knowledge of Algebra

Prospective Mathematics Teachers’ Knowledge of Algebra

Author: Rongjin Huang

Publisher: Springer Science & Business Media

ISBN: 9783658036720

Category: Education

Page: 179

View: 203

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Rongjin Huang examines teachers’ knowledge of algebra for teaching, with a particular focus on teaching the concept of function and quadratic relations in China and the United States. 376 Chinese and 115 U.S.A. prospective middle and high school mathematics teachers participated in this survey. Based on an extensive quantitative and qualitative data analysis the author comes to the following conclusions: The Chinese participants demonstrate a stronger knowledge of algebra for teaching and the Chinese participants’ structure of knowledge of algebra for teaching is much more interconnected. Chinese participants show flexibility in choosing appropriate perspectives of the function concept and in selecting multiple representations. Finally, the number of college mathematics and mathematics education courses taken impacts the teachers’ knowledge of algebra for teaching.

Teaching Secondary and Middle School Mathematics

Teaching Secondary and Middle School Mathematics

Author: Daniel J. Brahier

Publisher: Routledge

ISBN: 9780429629624

Category: Education

Page: 472

View: 969

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Teaching Secondary and Middle School Mathematics combines the latest developments in research, technology, and standards with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics. The book explores the mathematics teaching profession by examining the processes of planning, teaching, and assessing student progress through practical examples and recommendations. Beginning with an examination of what it means to teach and learn mathematics, the reader is led through the essential components of teaching, concluding with an examination of how teachers continue with professional development throughout their careers. Hundreds of citations are used to support the ideas presented in the text, and specific websites and other resources are presented for future study by the reader. Classroom scenarios are presented to engage the reader in thinking through specific challenges that are common in mathematics classrooms. The sixth edition has been updated and expanded with particular emphasis on the latest technology, resources, and standards. The reader is introduced to the ways that students think and how to best meet their needs through planning that involves attention to differentiation, as well as how to manage a classroom for success. Features include: The entire text has been reorganized so that assessment takes a more central role in planning and teaching. Unit 3 (of 5) now addresses the use of summative and formative assessments to inform classroom teaching practices. ● A new feature, "Links and Resources," has been added to each of the 13 chapters. While the book includes a substantial listing of citations and resources after the chapters, five strongly recommended and practical resources are spotlighted at the end of each chapter as an easy reference to some of the most important materials on the topic. ● Approximately 150 new citations have either replaced or been added to the text to reflect the latest in research, materials, and resources that support the teaching of mathematics. ● A Quick Reference Guide has been added to the front of the book to assist the reader in identifying the most useful chapter features by topic. ● A significant revision to Chapter 13 now includes discussions of common teaching assessments used for field experiences and licensure, as well as a discussion of practical suggestions for success in methods and student teaching experiences. ● Chapter 9 on the practical use of classroom technology has been revised to reflect the latest tools available to classroom teachers, including apps that can be run on handheld, personal devices. An updated Instructor’s Manual features a test bank, sample classroom activities, Powerpoint slides, chapter summaries, and learning outcomes for each chapter, and can be accessed by instructors online at www.routledge.com/9780367146511

Teacher Knowledge and Practice in Middle Grades Mathematics

Teacher Knowledge and Practice in Middle Grades Mathematics

Author:

Publisher: BRILL

ISBN: 9789087906184

Category: Education

Page: 319

View: 866

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This book presents a coherent collection of research studies on teacher knowledge and its relation to instruction and learning in middle-grades mathematics. The authors provide comprehensive literature reviews on specific components of mathematics knowledge for teaching that have been found to be important for effective instruction.

The Mathematical Education of Teachers

The Mathematical Education of Teachers

Author: Conference Board of the Mathematical Sciences

Publisher: American Mathematical Soc.

ISBN: 0821828991

Category: Mathematics

Page: 164

View: 113

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Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Middle School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Middle School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Author: Basil M. Conway IV

Publisher: Corwin Press

ISBN: 9781071881620

Category: Education

Page: 393

View: 323

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"If you teach middle school math and have wanted to promote social justice, but haven’t been sure how to get started, you need to check out this book. It incorporates lessons you can use immediately as well as how to foster the kind of classroom community where students will thrive. It’s the kind of book you’ll want to have alongside you to support you throughout your journey." Robert Kaplinsky Author and Consultant Long Beach, CA Empower young adolescents to be the change—join the teaching mathematics for social justice movement! Students of all ages and intersecting identities—through media and their lived experiences— bear witness to and experience social injustices and movements around the world for greater justice. However, when people think of social justice, mathematics rarely comes to mind. With a user-friendly design, this book brings middle school mathematics content to life by connecting it to issues students see or experience. Developed for use by Grades 6-8 educators, the contributed model lessons in this book walk teachers through the process of applying critical frameworks to instruction, using standards-based mathematics to explore, understand, and respond to social injustices. Learn to plan daily instruction that engages young adolescents in mathematics explorations through age-appropriate, culturally relevant topics such as health and economic inequality, human and civil rights, environmental justice, and accessibility. Features include: Content cross-referenced by mathematical concept and social issues Connection to Learning for Justice’s social justice standards Downloadable teacher materials and lesson resources Guidance for lessons driven by young adolescents’ unique passions and challenges Connections between research and practice Written for teachers committed to developing equitable and empowering practices through the lens of mathematics content and practice standards as well as social justice standards, this book will help connect content to young adolescents’ daily lives, strengthen their mathematical understanding, and expose them to issues that will support them in becoming active agents of change and responsible leaders.

What Counts in Teaching Mathematics

What Counts in Teaching Mathematics

Author: Sandy Schuck

Publisher: Springer Science & Business Media

ISBN: 9789400704619

Category: Education

Page: 192

View: 491

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In this book, internationally recognised scholars and practitioners synthesise current practice and research developments in the area of mathematics teacher education and mathematics education. The book’s two sections examine the role and significance of collaborations and critical friends in the self-study of mathematics teaching and teacher education; and the emerging conflicts, dilemmas and incongruities arising from the study of mathematics education practices. The book considers the insights gained from self-analysis regarding the practitioner themselves, as well as their pedagogical content, students and approaches. The contributions highlight the complexity, characteristics and features of mathematics education. The chapters reveal nuances in teaching and learning that are of particular relevance in mathematics education. In addition, the book contains ideas and suggestions on how to enhance the teaching of mathematical content to pre-service teachers. Accordingly, the book appeals to a wide audience of educators—including education academics, teachers, student teachers and researchers. As teacher educators involved in mathematics education, reflection on practice and engagement in practitioner research is becoming increasingly important in our efforts to enhance our teaching. Teachers and student teachers also gain from the insights arising from such reflection. The knowledge and experience encapsulated in this book provides much for the mathematics education community to build on.