Understanding Middle School Math

Understanding Middle School Math PDF Author: Arthur A. Hyde
Publisher: Heinemann Educational Books
ISBN:
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.

Understanding Middle School Math

Understanding Middle School Math PDF Author: Arthur A. Hyde
Publisher: Heinemann Educational Books
ISBN:
Category : Mathematics
Languages : en
Pages : 288

Get Book Here

Book Description
Imagine handling students state-by-state data on the number of gallons of soft drinks sold per person in one year. Imagine using it to lead a vibrant problem-solving session in which students energetically pose and answer mathematical questions: Why does it say sold instead of consumed? What is a soft drink? Is it the same as a soda? Who would collect this kind of data? Why would they collect it? How was gallons per person calculated? What was the total amount of soda sold in our state? How many 12-ounce cans is that? 20-ounce bottles? How many of each per person? Understanding Middle School Math gathers 50 cool problems like this that lead to deep thinking. Problems such as the Renovation Problem, in which students uncover ideas about how perimeter, area, length, and cost affect a construction project. Or Chocolate Algebra, where they discover linear relationships among the pocket money available to buy two differently priced chocolate candies. Arthur Hyde combines the latest research and decades of classroom experience to braid language, cognition, and math. His approach can help any student, including underprepared ones, with the rigors of math in middle school and beyond. He has created and adapted problems that strongly connect math to the real world, to students lives, and to prior knowledge. Problems that scaffold content and processes, and give students multiple entry points into learning. Every problem has been extensively field tested and refined by classroom teachers. And for each cool problem practicing middle school teachers describe how they used it to differentiate over a wide range of students and extend learning. For fantastic problems your students won't soon forget and teaching solutions that are exciting, substantial, and transformative, turn to Art Hyde. Read and use Understanding Middle School Math and pass your love of math on as you meet your classroom goals.

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

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

The Math Pact, Middle School

The Math Pact, Middle School PDF Author: Sarah B. Bush
Publisher: Corwin
ISBN: 154439957X
Category : Education
Languages : en
Pages : 209

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Book Description
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!

Teaching Mathematics to Middle School Students with Learning Difficulties

Teaching Mathematics to Middle School Students with Learning Difficulties PDF 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.

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

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice PDF Author: Robert Q. Berry III
Publisher: Corwin Press
ISBN: 1071806467
Category : Education
Languages : en
Pages : 328

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Book Description
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.

Open Middle Math

Open Middle Math PDF Author: Robert Kaplinsky
Publisher: Taylor & Francis
ISBN: 1003839886
Category : Education
Languages : en
Pages : 193

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Book Description
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.

Making Math Workshop Work

Making Math Workshop Work PDF Author: Middle School Math Man
Publisher:
ISBN: 9781724919977
Category :
Languages : en
Pages : 66

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Book Description
Are you looking to find a way to reach all of your students every day? Teacher and education blogger, Alex O'Connor, shares his practical, classroom-tested strategies to implement math workshop in the classroom. This book includes everything you need to get math workshop started in your classroom.

Teaching Secondary and Middle School Mathematics

Teaching Secondary and Middle School Mathematics PDF Author: Daniel J. Brahier
Publisher: Routledge
ISBN: 1317412362
Category : Education
Languages : en
Pages : 491

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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.

Differentiated Instruction for the Middle School Math Teacher

Differentiated Instruction for the Middle School Math Teacher PDF Author: Karen E. D'Amico
Publisher: John Wiley & Sons
ISBN: 078798468X
Category : Education
Languages : en
Pages : 253

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Book Description
Differentiated Instruction for the Middle School Math Teacher is a practical and easy-to-use resource for teaching a standards-based math curriculum to all learners. It gives you effective ways to present math concepts, shows how to provide opportunities for guided practice, and offers ideas for modifying the material to provide access to the same content standard for all students in the inclusive classroom. This book also contains key strategies for collaborating with other professionals, suggestions for involving the students' families by tying math concepts to students' everyday lives, and valuable assessment strategies. The lessons in the book cover middle school math topics correlated to the standards of the National Council of Teachers of Math, ranging from numbers and operations to problem solving and reasoning. Each lesson includes: Instructions for presenting the lesson to the whole class Worksheets designed to help review and reinforce theconcepts presented in each lesson A section on how to adapt the lesson for the inclusive classroom, including descriptions of different stations for different learners A home-school connection with family-based everyday math activities Suggestions for how to assess students' grasp of the concepts presented in the lesson

Hard Math for Middle School

Hard Math for Middle School PDF Author: Glenn Ellison
Publisher: Createspace Independent Publishing Platform
ISBN: 9781453814451
Category : Mathematics
Languages : en
Pages : 0

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Book Description
MIT Professor Glenn Ellison has spent more than a decade coaching math teams and developing math enrichment materials for his daughters and their classmates. His middle school Hard Math textbook and workbook contain the materials he used while coaching many successful Mathcounts teams. They are a labor of love sold at bargain prices with the hope that they will help students around the world develop a deep understanding of middle school math and enjoy every minute of it. The topics align with modern middle school curricula: fractions, decimals, percents, prime factorization, plane and spatial geometry, probability, statistics, combinatorics, algebra, modular arithmetic, etc. But Hard Math challenges students to develop a deeper understanding: it asks much harder questions than standard texts and teaches the material and problem solving strategies students need to attack them. For example, rather than asking students to write 2/5 as a decimal, it might ask students to use the fact that 99999 = 9 × 41 × 271 to find the tenth digit in the decimal expansion for 1/271. (It might ask this, but never actually does.) The personal and somewhat irreverent prose in the IMLEM Plus edition of Hard Math for Middle School speaks directly to students participating in both the Intermediate Math League of Eastern Massachusetts and Mathcounts(r). The organization of the book is also designed to serve IMLEM students. But middle school math is middle school math and the book should be great for students preparing for other math contests or just looking for general enrichment or hard problems to do. Hard Math for Middle School: Workbook, sold separately, contains over 100 worksheets. The worksheets have problems at different difficulty levels that students can use to solidify their understanding of the material in each section of the textbook. It would be crazy to buy this text and not also get a copy of the workbook unless your child is using this book in school or in an enrichment program that is already providing plenty of practice problems. Solutions to many of the problems in the workbook are currently available for free on Prof. Ellison's website. Mathcounts(r) is a registered trademark of the Mathcounts Foundation, which was not involved in the production of, and does not endorse, this book.