Unpacking Fractions

Author: Monica Neagoy
Publisher: ASCD
ISBN: 1416621237
Format: PDF, ePub, Mobi
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For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it’s imperative for us to take a closer look at how we teach fractions: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of “algebra for all” will not be possible until “fractions for all” is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Unpacking Fractions

Author: Monica Neagoy
Publisher: ASCD
ISBN: 1416621253
Format: PDF, ePub
Download Now
For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it’s imperative for us to take a closer look at how we teach fractions: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of “algebra for all” will not be possible until “fractions for all” is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

The Coach Approach to School Leadership

Author: Jessica Johnson
Publisher: ASCD
ISBN: 1416623884
Format: PDF, Mobi
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Three coaching and leadership experts explore how using instructional coaching techniques enables principals to balance learning leadership with their evaluative and supervisory duties.

Planting the Seeds of Algebra 3 5

Author: Monica Neagoy
Publisher: Corwin Press
ISBN: 1412996619
Format: PDF, ePub
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Give your students a foundation of algebra for math success – now and in the future! Students and teachers must become friendly with algebraic foundations, as they have increasingly become the gateway to careers in the STEM fields. Monica Neagoy empowers teachers to embrace algebra and connect it to higher math concepts, tuning you and your students to algebraic thinking, reasoning, and doing. You’ll discover: ?Four explorations to help you weave key algebraic ideas into everyday mathematics Step-by-step lessons from real classrooms that will guide you in teaching concepts and in establishing their relevance and applicability New methods that break down difficult algebraic concepts and build a critical foundation for higher math

The School Leader s Guide to Building and Sustaining Math Success

Author: Marian Small
Publisher: ASCD
ISBN: 1416626387
Format: PDF, Mobi
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The pressure is on. Principals, expected to improve math performance at their schools, often don’t know where to begin—as they may be uncomfortable with math themselves or believe that their schools are already doing all that they can. How can K–12 school leaders recognize and ensure that their school or district is supporting good math instruction? Marian Small and Doug Duff provide the answer to that and other questions in The School Leader’s Guide to Building and Sustaining Math Success. Drawing on their vast experience working with administrators, Small and Duff provide practical advice and helpful tools for improving math instruction. They guide you through the initial steps of establishing a strong math culture, developing common tasks, and getting buy-in, and then offer specific suggestions for monitoring, supporting, and sustaining improvement. You’ll learn what sort of data to collect, what to look for in the classroom, what to listen for in conversations with teachers and students, and how to deal with reluctant staff or parents. With its real-world examples and insights, this book is essential reading for any principal who wants to bring about positive change and real growth in the teaching and learning of math in their school.

Mastering Basic Math Skills

Author: Bonnie Adama Britt
Publisher: National
ISBN: 9780873537575
Format: PDF, Kindle
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Math + Games = Learning + Fun Can children develop better math skills and deeper understanding of mathematical concepts and have fun? Absolutely! This collection of games for children in kindergarten through second grade proves it. Games are organized in each chapter from simpler to more advanced, and many have variations that change the rules of play or make it more challenging once the basic game is mastered. Children need lots of practice to learn new concepts and math facts, and games can keep them engaged. Designed for use in the classroom and at home, this book includes access to downloadable More4U materials such as ten-frame cards, game boards, and recording sheets. And all the games are correlated with the Common Core State Standards for Mathematics. Research shows that games have many benefits. Math games: increase curiosity and motivation; allow for cooperative learning opportunities; reinforce mathematical learning and skills; build strategy and reasoning know-how; teach life skills, and reduce math anxiety. There are games for many topics: number recognition and counting subtraction comparing numbers to 10 multiple operations addition multiplication place value money multidigit addition fractions

Making Thinking Visible

Author: Ron Ritchhart
Publisher: John Wiley & Sons
ISBN: 9781118015032
Format: PDF, Kindle
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A proven program for enhancing students' thinking and comprehension abilities Visible Thinking is a research-based approach to teaching thinking, begun at Harvard's Project Zero, that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is a varied collection of practices, including thinking routines?small sets of questions or a short sequence of steps?as well as the documentation of student thinking. Using this process thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon. Helps direct student thinking and structure classroom discussion Can be applied with students at all grade levels and in all content areas Includes easy-to-implement classroom strategies The book also comes with a DVD of video clips featuring Visible Thinking in practice in different classrooms.

Essential Questions

Author: Jay McTighe
Publisher: ASCD
ISBN: 1416615709
Format: PDF, Kindle
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What are "essential questions," and how do they differ from other kinds of questions? What's so great about them? Why should you design and use essential questions in your classroom? Essential questions (EQs) help target standards as you organize curriculum content into coherent units that yield focused and thoughtful learning. In the classroom, EQs are used to stimulate students' discussions and promote a deeper understanding of the content. Whether you are an Understanding by Design (UbD) devotee or are searching for ways to address standards--local or Common Core State Standards--in an engaging way, Jay McTighe and Grant Wiggins provide practical guidance on how to design, initiate, and embed inquiry-based teaching and learning in your classroom. Offering dozens of examples, the authors explore the usefulness of EQs in all K-12 content areas, including skill-based areas such as math, PE, language instruction, and arts education. As an important element of their backward design approach to designing curriculum, instruction, and assessment, the authors *Give a comprehensive explanation of why EQs are so important; *Explore seven defining characteristics of EQs; *Distinguish between topical and overarching questions and their uses; *Outline the rationale for using EQs as the focal point in creating units of study; and *Show how to create effective EQs, working from sources including standards, desired understandings, and student misconceptions. Using essential questions can be challenging--for both teachers and students--and this book provides guidance through practical and proven processes, as well as suggested "response strategies" to encourage student engagement. Finally, you will learn how to create a culture of inquiry so that all members of the educational community--students, teachers, and administrators--benefit from the increased rigor and deepened understanding that emerge when essential questions become a guiding force for learners of all ages.

Adding It Up

Author: National Research Council
Publisher: National Academies Press
ISBN: 9780309132848
Format: PDF, ePub, Docs
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Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.