Open Middle Math

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

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.

Open Middle Math

Open Middle Math PDF Author: Robert Kaplinsky
Publisher: Routledge
ISBN: 1625311745
Category : Education
Languages : en
Pages : 195

Book Description
Imagine that you assign a math problem and your students, instead of getting discouraged after not solving it on the first attempt, start working harder--as if on a quest to figure out the answer. They talk to each other and enthusiastically share their discoveries. What could possibly make this fantastic scenario come true? The answer is: the Open Middle math problems and strategies in this book. Open Middle Math by Robert Kaplinsky gives middle and high school teachers the problems and planning guidance that will encourage students to see mathematics in an entirely different light. These challenging and rewarding Open Middle math problems will help you see your students build genuine conceptual understanding, perseverance, and creativity. Inside, you'll learn how to: Implement Open Middle math problems that are simultaneously accessible for both students who are struggling and those looking for more challenge. Select and create Open Middle math problems that will help you detect students' misconceptions and strengthen their conceptual understanding. Prepare for and facilitate powerful classroom conversations using Open Middle math problems. Access resources that will help you continue learning beyond this book. With these practical and intuitive strategies, extensive resources, and Robert's own stories about his journey learning to use Open Middle math problems successfully, you will be able to support, challenge, and motivate all your students.

Math Doesn't Suck

Math Doesn't Suck PDF Author: Danica McKellar
Publisher: Penguin
ISBN: 110121371X
Category : Education
Languages : en
Pages : 337

Book Description
This title has been removed from sale by Penguin Group, USA.

Do Not Open This Math Book

Do Not Open This Math Book PDF Author: Danica McKellar
Publisher: Crown Books for Young Readers
ISBN: 1101933984
Category : Juvenile Nonfiction
Languages : en
Pages : 161

Book Description
Learn at home with help from The Wonder Years/Hallmark actress, math whiz, and New York Times bestselling author Danica McKellar using her acclaimed McKellar Math books! Addition and subtraction are as easy as 1+2+3 with this fun and accessible introduction to the essentials of math. This funny and educational book will have readers embracing math instead of fearing it. Finally, a FUN book to read with kids that helps bridge the gap between what's being taught in school and how today's parents learned math back in the day. Giggle your way through entertaining lessons on addition and subtraction involving muffins, turkey sandwiches, kittens, googly eyes, and more! Danica McKellar uses her proven math techniques to give children the solid grasp of addition and subtraction that will be key to their success and unlock their potential in the classroom and beyond! You will WANT to open this math book!

Understanding Middle School Math

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

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.

Teaching Fractions and Ratios for Understanding

Teaching Fractions and Ratios for Understanding PDF Author: Susan J. Lamon
Publisher: Routledge
ISBN: 1135606781
Category : Education
Languages : en
Pages : 254

Book Description
This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.

Clothesline Math: The Master Number Sense Maker

Clothesline Math: The Master Number Sense Maker PDF Author: Chris Shore
Publisher: Teacher Created Materials
ISBN: 1493885146
Category : Education
Languages : en
Pages : 338

Book Description
This must-have resource provides the theoretical groundwork for teaching number sense. Authored by Chris Shore, this book empowers teachers with the pedagogy, lessons, and detailed instructions to help them implement Clothesline Math in K-12 classrooms. Detailed, useful tips for facilitating the ensuing mathematical discourse are also included. At the elementary level, the hands-on lessons cover important math topics including whole numbers, place value, fractions, order of operations, algebraic reasoning, variables, and more. Implement Clothesline Math at the secondary level and provide students with hands-on learning and activities that teach advanced math topics including geometry, algebra, statistics, trigonometry, and pre-calculus. Aligned to state and national standards, this helpful resource will get students excited about learning math as they engage in meaningful discourse.

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

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
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