Mathematical Argumentation in Middle School-The What, Why, and How PDF Download

Author: Jennifer Knudsen
Publisher: Corwin Press
ISBN: 150639423X
Category : Education
Languages : en
Pages : 185

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Book Description
This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.

Author: National Research Council
Publisher: National Academies Press
ISBN: 0309172276
Category : Education
Languages : en
Pages : 270

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Book Description
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.

Author: Daniel J. Brahier
Publisher: Routledge
ISBN: 1317412354
Category : Education
Languages : en
Pages : 963

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Book Description
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.

Author: Art Johnson
Publisher: Allyn & Bacon
ISBN:
Category : Mathematics
Languages : en
Pages : 400

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Book Description
"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"

Author: Marjorie Montague
Publisher: Guilford Publications
ISBN: 1462537472
Category : Education
Languages : en
Pages : 193

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Book Description
A highly practical resource for special educators and classroom teachers, this book provides specific instructional guidance illustrated with vignettes, examples, and sample lesson plans. Every chapter is grounded in research and addresses the nuts and bolts of teaching math to students who are not adequately prepared for the challenging middle school curriculum. Presented are a range of methods for helping struggling learners build their understanding of foundational concepts, master basic skills, and develop self-directed problem-solving strategies. While focusing on classroom instruction, the book also includes guidelines for developing high-quality middle school mathematics programs and evaluating their effectiveness.

Author: Judith T. Sowder
Publisher: SUNY Press
ISBN: 9780791425336
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This book provides middle school teachers with a firm pedagogical foundation based on the manner in which students learn the mathematics being taught.

Author: Peter Grootenboer
Publisher: Springer
ISBN: 9812876790
Category : Education
Languages : en
Pages : 135

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Book Description
This book examines the beliefs, attitudes, values and emotions of students in Years 5 to 8 (aged 10 to 14 years) about mathematics and mathematics education. Fundamentally, this book focuses on the development of affective views and responses towards mathematics and mathematics learning. Furthermore, it seems that students develop their more negative views of mathematics during the middle school years (Years 5 to 8), and so here we concentrate on students in this critical period. The book is based on a number of empirical studies, including an enquiry undertaken with 45 children in Years 5 and 6 in one school; a large-scale quantitative study undertaken with students from a range of schools across diverse communities in New Zealand; and two related small-scale studies with junior secondary students in Australia. This book brings substantial, empirically-based evidence to the widely held perception that many students have negative views of mathematics, and these affective responses develop during the middle years of school. The data for this book were collected with school students, and students who were actually engaged in learning mathematics in their crucial middle school years. The findings reported and discussed here are relevant for researchers and mathematics educators, policy makers and curriculum developers, and teachers and school principals engaged in the teaching of mathematics.

Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 209

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Book Description
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.

Author: Susan Janssen Creighton
Publisher: Corwin Press
ISBN: 1483385965
Category : Education
Languages : en
Pages : 222

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Book Description
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

Author: James S. Cangelosi
Publisher: Prentice Hall
ISBN: 9780134392332
Category : Mathematics
Languages : en
Pages : 0

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Book Description
For senior-level and graduate courses in Methods of Teaching Mathematics for Secondary and Middle School Teachers. Focused on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM recommendations and standards this text shows students how to creatively incorporate the Standards into their teaching along with inquiry instructional strategies (for leading pupils to do meaningful mathematics) and direct strategies (for developing mathematical skills). Interactive in approach, it includes an abundance of illustrative examples, numerous cases, one expansive case study that follows a mathematics teacher through his first year in the profession, cooperative learning activities, field-based activities, and transitional activities.