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Teaching Today's Mathematics in the Middle Grades

Teaching Today's Mathematics in the Middle Grades
Author: Art Johnson
Publisher: Allyn & Bacon
Total Pages: 400
Release: 2006
Genre: Mathematics
ISBN:
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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"

Teaching Mathematics Today 2nd Edition

Teaching Mathematics Today 2nd Edition
Author: Erin Lehmann
Publisher: Teacher Created Materials
Total Pages: 242
Release: 2015-04-01
Genre: Education
ISBN: 1425895832
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This second edition is a must-read for today's mathematics teachers offering research-based strategies and best practices that are critical and highly effective in mathematics instruction. This invaluable resource provides practical suggestions, resources, and templates to support the areas of classroom management, instructional planning, content and practice standard implementation, assessment, and differentiation, as well as methods to build students' conceptual understanding. It also guides teachers in using the Professional Learning Community model effectively in order to support professional growth and student achievement. With a focus on student thinking and learning, this book is an essential guide for all educators.

Teaching Secondary and Middle School Mathematics

Teaching Secondary and Middle School Mathematics
Author: Daniel J. Brahier
Publisher: Routledge
Total Pages: 963
Release: 2016-02-12
Genre: Education
ISBN: 1317412354
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Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.

Making Sense of Mathematics for Teaching Grades 6-8

Making Sense of Mathematics for Teaching Grades 6-8
Author: Edward C. Nolan
Publisher: Solution Tree Press
Total Pages: 268
Release: 2016-04-13
Genre: Education
ISBN: 194249646X
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Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index

Teacher Knowledge and Practice in Middle Grades Mathematics

Teacher Knowledge and Practice in Middle Grades Mathematics
Author:
Publisher: BRILL
Total Pages: 319
Release: 2008-01-01
Genre: Education
ISBN: 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.

Teaching Mathematics in the Visible Learning Classroom, Grades 6-8

Teaching Mathematics in the Visible Learning Classroom, Grades 6-8
Author: John Almarode
Publisher: Corwin Press
Total Pages: 154
Release: 2018-10-10
Genre: Education
ISBN: 154433317X
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Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of middle school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12
Author: John Hattie
Publisher: Corwin Press
Total Pages: 209
Release: 2016-09-15
Genre: Education
ISBN: 1506362958
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Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Today's Mathematics, Activities and Instructional Ideas

Today's Mathematics, Activities and Instructional Ideas
Author: James W. Heddens
Publisher: Wiley
Total Pages: 420
Release: 2000-08-31
Genre: Education
ISBN: 9780471387930
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This classic allows readers to easily build a valuable set of ideas and reference materials for actual classroom use. Designed to aid the teacher in understanding mathematical concepts and relationships, the authors reflect recent recommendations from the National Council of Teachers of Mathematics Standards 2000.

Providing a Foundation for Teaching Mathematics in the Middle Grades

Providing a Foundation for Teaching Mathematics in the Middle Grades
Author: Judith Sowder
Publisher: State University of New York Press
Total Pages: 348
Release: 1995-08-03
Genre: Education
ISBN: 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.

Mathematics Methods and Modeling for Today's Mathematics Classroom

Mathematics Methods and Modeling for Today's Mathematics Classroom
Author: John A. Dossey
Publisher: Thomson Brooks/Cole
Total Pages: 0
Release: 2001
Genre: Mathematics
ISBN: 9780534366049
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Building on the recommendations of the NCTM's Principles and Standards, this work provides guidance in teaching content and developing processes for students in middle and high school, integrating an emphasis on mathematical modeling with various other teaching methods. After an overview of the con