Catalyzing Change in Middle School Mathematics

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Publisher :
ISBN 13 : 9781680540604
Total Pages : pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Catalyzing Change in Middle School Mathematics by :

Download or read book Catalyzing Change in Middle School Mathematics written by and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Catalyzing Change in Middle School Mathematics calls for all stakeholders involved in the teaching of mathematics to middle school students to critically examine the following: The identity and agency of students in middle school by being developmentally responsive while also creating and supporting a learning environment that takes into account each and every student's unique background, experience, cultural perspectives, traditions, and knowledge The inequitable structures in middle school mathematics, such as student tracking and ability grouping as well as teacher tracking, and eliminating those structures that impede students' agency and identity as capable learners and doers of mathematics Mathematics instructional practices that are equitable and attend to students as developing young adolescents, ensuring that each and every student has access to a high-quality mathematics program. How middle schools should build from a strong foundation of mathematics developed in the elementary grades, deeply engage students in the important mathematical ideas of the middle grades, and prepare students for their continued mathematics journey in high school and beyond"--

Catalyzing Change in Early Childhood and Elementary Mathematics

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Publisher :
ISBN 13 : 9781680540437
Total Pages : pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Catalyzing Change in Early Childhood and Elementary Mathematics by : DeAnn Huinker

Download or read book Catalyzing Change in Early Childhood and Elementary Mathematics written by DeAnn Huinker and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Catalyzing Change in Elementary and Early Childhood Mathematics presents four key recommendations to guide conversations that take a critical look at current mathematics programs in order to identify practices, policies, and instructional approaches that hinder any child from becoming confident and capable mathematics learners. The book uses classroom vignettes and student work to illustrate how the eight effective mathematics teaching practices form a framework for equitable instruction and to discuss the teaching of important mathematics topics in number and operations, early algebra, geometry, and data"--

Catalyzing Change in High School Mathematics

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Publisher :
ISBN 13 : 9781680540154
Total Pages : pages
Book Rating : 4.5/5 (41 download)

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Book Synopsis Catalyzing Change in High School Mathematics by :

Download or read book Catalyzing Change in High School Mathematics written by and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Catalyzing Change in High School Mathematics : Initiating Critical Conversations is written for classroom teachers; counselors, coaches, specialists, and instructional leaders; school, district, and state administrators; curriculum developers; and policymakers at all levels with the goal of beginning a serious discussion of the issues for high school mathematics that are outlined in this document.--

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

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Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III

Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.

Principles to Actions

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Publisher : National Council of Teachers of Mathematics, Incorporated
ISBN 13 : 9780873537742
Total Pages : 139 pages
Book Rating : 4.5/5 (377 download)

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Book Synopsis Principles to Actions by : National Council of Teachers of Mathematics

Download or read book Principles to Actions written by National Council of Teachers of Mathematics and published by National Council of Teachers of Mathematics, Incorporated. This book was released on 2014-02 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Step Into STEAM, Grades K-5

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Publisher : Corwin Press
ISBN 13 : 1544337213
Total Pages : 233 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Step Into STEAM, Grades K-5 by : Sarah B. Bush

Download or read book Step Into STEAM, Grades K-5 written by Sarah B. Bush and published by Corwin Press. This book was released on 2019-03-14 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Create meaningful and transformative K-5 STEAM learning experiences for each and every student Make the most of your limited instructional time and become part of the Step into STEAM movement! Seamlessly design and implement K-5 STEAM inquiries that align carefully to key mathematics and science content and practices and prepare elementary students for their bright futures. Taking an opposite approach to existing resources that provide collections of disjointed STEAM activities, this book empowers teachers and schools to build cohesive and sustainable STEAM infrastructures—grounded in grade-level standards and purposeful assessment—to deepen the mathematics and science learning of each and every student.

Curriculum Development for Students with Mild Disabilities

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Publisher : Charles C Thomas Publisher
ISBN 13 : 0398079730
Total Pages : 456 pages
Book Rating : 4.3/5 (98 download)

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Book Synopsis Curriculum Development for Students with Mild Disabilities by :

Download or read book Curriculum Development for Students with Mild Disabilities written by and published by Charles C Thomas Publisher. This book was released on with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Catalyzing Change in Middle School Mathematics

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Publisher :
ISBN 13 : 9781680540444
Total Pages : pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Catalyzing Change in Middle School Mathematics by :

Download or read book Catalyzing Change in Middle School Mathematics written by and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Catalyzing Change in Middle School Mathematics calls for all stakeholders involved in the teaching of mathematics to middle school students to critically examine the following: The identity and agency of students in middle school by being developmentally responsive while also creating and supporting a learning environment that takes into account each and every student's unique background, experience, cultural perspectives, traditions, and knowledge The inequitable structures in middle school mathematics, such as student tracking and ability grouping as well as teacher tracking, and eliminating those structures that impede students' agency and identity as capable learners and doers of mathematics Mathematics instructional practices that are equitable and attend to students as developing young adolescents, ensuring that each and every student has access to a high-quality mathematics program. How middle schools should build from a strong foundation of mathematics developed in the elementary grades, deeply engage students in the important mathematical ideas of the middle grades, and prepare students for their continued mathematics journey in high school and beyond"--

Becoming the Math Teacher You Wish You'd Had

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Publisher : Taylor & Francis
ISBN 13 : 1003839517
Total Pages : 393 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Becoming the Math Teacher You Wish You'd Had by : Tracy Johnston Zager

Download or read book Becoming the Math Teacher You Wish You'd Had written by Tracy Johnston Zager and published by Taylor & Francis. This book was released on 2023-10-10 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

Connecting Arithmetic to Algebra

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Publisher : Heinemann Educational Books
ISBN 13 : 9780325041919
Total Pages : 0 pages
Book Rating : 4.0/5 (419 download)

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Book Synopsis Connecting Arithmetic to Algebra by : Susan Jo Russell

Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

Guide to Implementing the Next Generation Science Standards

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Publisher : National Academies Press
ISBN 13 : 0309305152
Total Pages : 190 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Guide to Implementing the Next Generation Science Standards by : National Research Council

Download or read book Guide to Implementing the Next Generation Science Standards written by National Research Council and published by National Academies Press. This book was released on 2015-03-27 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Framework for K-12 Science Education and Next Generation Science Standards (NGSS) describe a new vision for science learning and teaching that is catalyzing improvements in science classrooms across the United States. Achieving this new vision will require time, resources, and ongoing commitment from state, district, and school leaders, as well as classroom teachers. Successful implementation of the NGSS will ensure that all K-12 students have high-quality opportunities to learn science. Guide to Implementing the Next Generation Science Standards provides guidance to district and school leaders and teachers charged with developing a plan and implementing the NGSS as they change their curriculum, instruction, professional learning, policies, and assessment to align with the new standards. For each of these elements, this report lays out recommendations for action around key issues and cautions about potential pitfalls. Coordinating changes in these aspects of the education system is challenging. As a foundation for that process, Guide to Implementing the Next Generation Science Standards identifies some overarching principles that should guide the planning and implementation process. The new standards present a vision of science and engineering learning designed to bring these subjects alive for all students, emphasizing the satisfaction of pursuing compelling questions and the joy of discovery and invention. Achieving this vision in all science classrooms will be a major undertaking and will require changes to many aspects of science education. Guide to Implementing the Next Generation Science Standards will be a valuable resource for states, districts, and schools charged with planning and implementing changes, to help them achieve the goal of teaching science for the 21st century.

Invigorating High School Math

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Publisher :
ISBN 13 : 9780325134161
Total Pages : 216 pages
Book Rating : 4.1/5 (341 download)

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Book Synopsis Invigorating High School Math by : Steven Leinwand

Download or read book Invigorating High School Math written by Steven Leinwand and published by . This book was released on 2021-08-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dramatically Improving High School Mathematics Must Start Now! High school math is failing many students. Out-of-date and stale curricula are not only dull, but perpetuate inequity by limiting opportunities and failing to prepare a majority of students for life in the 21st century. Even traditionalists recognize that the status quo is no longer acceptable. Major shifts in course organization, mathematical content, pedagogy, and assessment are long overdue. Practical Guidance for Meaningful Transformation Invigorating High School Math is a clarion call for meaningful transformation. Throughout the book, Steven Leinwand and Eric Milou address the most critical challenges facing high school mathematics and provide practical guidance for: addressing challenges and excuses that often short-circuit new approaches making the case for the importance of and rationale for changing high school math creating core integrated math courses for grades 9 and 10 and coherent pathways for grades 11 and 12 making critical shifts in pedagogy and classroom practice designing high-quality assessments and using them effectively developing and executing a rational implementation plan A Stimulus for Discussion and a Road Map for Change Many of these ideas will not be broadly popular. It's likely that none of them will be easy to implement. That's no surprise: For nearly a century, the basic structure of high school mathematics has barely changed-not because of its effectiveness, but because the status quo is a powerful force requiring purposeful action to break. This book was written for every high school math educator and leader-as both a stimulus for discussion and a road map for change. Our hope, say the authors, is that this book stimulates change, empowers teachers, and guides the profession on this critical journey to invigorate high school mathematics.

Teaching Secondary and Middle School Mathematics

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Publisher : Routledge
ISBN 13 : 1317412362
Total Pages : 491 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Teaching Secondary and Middle School Mathematics by : Daniel J. Brahier

Download or read book Teaching Secondary and Middle School Mathematics written by Daniel J. Brahier and published by Routledge. This book was released on 2016-02-12 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Open Middle Math

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Publisher : Taylor & Francis
ISBN 13 : 1003839886
Total Pages : 193 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Open Middle Math by : Robert Kaplinsky

Download or read book Open Middle Math written by Robert Kaplinsky and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

What Can Be Computed?

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Publisher : Princeton University Press
ISBN 13 : 0691170665
Total Pages : 404 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis What Can Be Computed? by : John MacCormick

Download or read book What Can Be Computed? written by John MacCormick and published by Princeton University Press. This book was released on 2018-05-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of—and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with forthcoming Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Lecture slides and Python programs are available at whatcanbecomputed.com

Teaching Today's Mathematics in the Middle Grades

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Author :
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Teaching Today's Mathematics in the Middle Grades by : Art Johnson

Download or read book Teaching Today's Mathematics in the Middle Grades written by Art Johnson and published by Allyn & Bacon. This book was released on 2006 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"

Mathematical Thinking and Problem Solving

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Author :
Publisher : Routledge
ISBN 13 : 113544093X
Total Pages : 303 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Mathematical Thinking and Problem Solving by : Alan H. Schoenfeld

Download or read book Mathematical Thinking and Problem Solving written by Alan H. Schoenfeld and published by Routledge. This book was released on 2016-05-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.