Teacher Knowledge and Practice in Middle Grades Mathematics

Teacher Knowledge and Practice in Middle Grades Mathematics PDF

Author:

Publisher: BRILL

Published: 2008-01-01

Total Pages: 319

ISBN-13: 9087906188

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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.

Mathematics Education in the Middle Grades

Mathematics Education in the Middle Grades PDF

Author: National Research Council

Publisher: National Academies Press

Published: 2000-02-11

Total Pages: 270

ISBN-13: 0309172276

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Mathematics Education in the Middle Grades: Teaching to Meet the Needs of Middle Grades Learners and to Maintain High Expectations In September 1998, the Math Science Education Board National held a Convocation on Middle Grades Mathematics that was co-sponsored by the National Council of Teachers of Mathematics, the National Middle School Association, and the American Educational Research Association. The Convocation was structured to present the teaching of middle school mathematics from two points of view: teaching mathematics with a focus on the subject matter content or teaching mathematics with a focus on the whole child and whole curriculum. This book discusses the challenges before the nation's mathematical sciences community to focus its energy on the improvement of middle grades mathematics education and to begin an ongoing national dialogue on middle grades mathematics education.

Middle Grade Teachers' Mathematical Knowledge and Its Relationship to Instruction

Middle Grade Teachers' Mathematical Knowledge and Its Relationship to Instruction PDF

Author: Judith Sowder

Publisher: State University of New York Press

Published: 1998-07-16

Total Pages: 240

ISBN-13: 1438420722

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The outcome of a two-year investigation, this book shows how teachers' understanding of the mathematics of number, quantity, and proportion influences how they teach and what their students learn of the concepts, skills, and reasoning associated with this mathematical domain of knowledge. It grew out of the recognition of the need to understand the complexities of helping teachers reconceptualize the mathematics they teach and the resulting effects in their classrooms. The book includes case studies of five teachers, from different types of school settings, illustrating changes in the teachers' teaching methods, expectations of students, and beliefs about the role of professional development.

Teaching to the Math Common Core State Standards

Teaching to the Math Common Core State Standards PDF

Author: F. D. Rivera

Publisher: Springer

Published: 2015-06-17

Total Pages: 224

ISBN-13: 9462099626

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This is a methods book for preservice middle level majors and beginning middle school teachers. It takes a very practical approach to learning to teach middle school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the Grade 5 through Grade 8 and (traditional pathway) Algebra I portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The Common Core state content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all middle school students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended multisourced text is a “getting smart” book. It prepares preservice middle level majors and beginning middle school teachers to work within the realities of accountable pedagogy and to develop a proactive disposition that is capable of supporting all middle school students in order for them to experience growth in mathematical understanding that is necessary for high school and beyond, including future careers.

Providing a Foundation for Teaching Mathematics in the Middle Grades

Providing a Foundation for Teaching Mathematics in the Middle Grades PDF

Author: Judith Sowder

Publisher: State University of New York Press

Published: 1995-08-03

Total Pages: 348

ISBN-13: 1438420730

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This book is written primarily for middle grade teachers who are discovering that they now want to teach in ways that create positive mathematical learning environments and instigate rich classroom discourse. Many of these teachers are finding that their mathematical preparation did not address the complexities underlying the mathematics they now want to teach. In Part One, the authors provide a foundation for the mathematics of these grades, particularly the mathematics that grows out of concepts of number, quantity, and arithmetic operations. In Part Two, through three case studies, the authors demonstrate to teachers how a deeper understanding of the mathematics they teach can enhance classroom instruction. The book interweaves research and classroom practice. Mathematics teacher educators, researchers, curriculum developers, textbook authors, and supervisors of mathematics programs will find this book to be useful. Teachers, both prospective and practicing, will benefit most from this book when the chapters are used as catalysts for discussion in classes or professional development programs.

Teaching Mathematics in Grades 6 - 12

Teaching Mathematics in Grades 6 - 12 PDF

Author: Randall E. Groth

Publisher: SAGE

Published: 2012-08-10

Total Pages: 513

ISBN-13: 141299568X

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Teaching Mathematics in grades 6-12 by Randall E. Groth is a core methods text that introduces students to the vibrant and intriguing world of mathematics education. The author shows preservice mathematics teachers the value of being a "researcher"--constantly experimenting with methods for developing students' mathematical thinking--and connecting this research to practices that enhance students' understanding of the types of mathematical knowledge students bring to school and how students' thinking may develop in response to different teaching strategies.

Bringing Math Students Into the Formative Assessment Equation

Bringing Math Students Into the Formative Assessment Equation PDF

Author: Susan Janssen Creighton

Publisher: Corwin Press

Published: 2015-01-21

Total Pages: 222

ISBN-13: 1483385965

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Make formative assessment work for you—and your math students! Finally, formative assessment that adds up! Bringing Math Students Into the Formative Assessment Equation is the ultimate resource for helping teachers implement formative assessment in the middle school mathematics classroom. And it’s much more than that. With this research-based, teacher-tested guide, you won’t just learn effective teaching strategies—you’ll turn your students into self-regulated learners. They’ll monitor and assess their own progress—and communicate to you about it! Features include: A clear and manageable six-aspect instructional model Detailed strategies for helping students own their successes Real-life examples from middle school mathematics teachers Useful resources and a companion website to help you implement formative assessment in your classroom Formative assessment isn’t just for teachers anymore. With the help of this essential resource, you’ll work together with your students toward a common goal of math success. "This book is outstanding. I would recommend it to any math educator. The depth of research integrated into practice is extensive and, as a result, it is the most practical book I have come across related to formative assessment and mathematics The self-regulation aspects, as well as the ownership and involvement emphasized in the book, went beyond the traditional cognitive strategies endorsed in most books." Marc Simmons, Principal Ilwaco Middle School, Ocean Beach School District, Long Beach, WA "The ideas in this book are brought to life with examples of teachers and students in the classroom. The teacher voices, comments, and quotes lend credibility and are a big component of the book’s strengths as well as the visuals and graphics." Rita Tellez, Math Coordinator Ysleta Independent School District, El Paso, TX

Teaching Today's Mathematics in the Middle Grades

Teaching Today's Mathematics in the Middle Grades PDF

Author: Art Johnson

Publisher: Allyn & Bacon

Published: 2006

Total Pages: 400

ISBN-13:

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"Teaching Today's Mathematics in the Middle Grades" provides current and future middle school teachers with the mathematics content, essential concepts, methodology, activities, and resources to both learn and teach mathematics in grades 5 to 8.The authors focus exclusively on the middle school learner and the middle school mathematics curriculum. Although each chapter discusses foundational mathematics concepts from earlier grades and previews topics that will follow the middle grades, the emphasis is on the middle school. This selective focus allows for proper development of critical topics in the middle school such as proportionality algebraic thinking, and the integral role of manipulatives. Assessment practices and problem solving are also emphasized from the viewpoint of effective practices for middle school students. Unique Features React and Reflect features prompt classroom discussions by asking the reader to think independently regarding a statement, issue, or concern. Try This features ask the reader to solve a problem first, or extend the current discussion by working on an extension of a problem. By completing the problem first, teachers are putting themselves in the place of their students, helping the teacher discover first-hand common misconceptions. Numerous exercises and activities appear at the end of each chapter to reinforce student understanding of various topics and ensure mastery of the mathematics content. The NCTM Principles and Standards are emphasized throughout the book, beginning with a discussion in Chapter 1. Each of the content chapters (6-11) opens with the relevant NCTM content standards for that chapter. In addition, marginal icons highlight areas within the text in which the NCTM process standards are discussed. Reviewers rave. . . "From the content, organization, and approach, it is evident that the authors have years of teaching experience. This gives the text authority." --"Marina Krause, California State University-Long Beach""The authors do an excellent job of presenting in sequential order essential concepts, methodology, activities, and technological resources essential to assist [the] beginning math teacher in preparing to teach in the middle school program." --"Gerald Jarmon, North Carolina Central University"