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Author : Barbara Reys
Publisher : Unknown
Page : 72 pages
File Size : 45,9 Mb
Release : 1991
Category : Education
ISBN : UOM:39015025265052
Shows how to encourage the meaningful learning of mathematics and lead students to develop number sense. Includes bibliographical references.
Author : Eric Milou,John J. SanGiovanni
Publisher : Corwin Press
Page : 128 pages
File Size : 55,6 Mb
Release : 2018-07-31
Category : Education
ISBN : 9781544316949
Kickstart your class with five daily 5–10 minute routines, all of which include content-specific examples, extensions, and variations for high school mathematics. This resource offers a year’s worth of daily instructional material that you can use to begin each class period, and will help students Frequently revisit essential mathematical concepts Foster and shore up conceptual understanding Engage in mental mathematics, leading to efficiency and fluency Engage in mathematical discourse by constructing viable arguments and critiquing the reasoning of others Reason mathematically, and prepare for high stakes assessments Move learning beyond “correctness” by valuing mistakes and discourse and encouraging a growth mindset
Author : Patsy Kanter,Steven Leinwand
Publisher : Heinemann Educational Books
Page : 184 pages
File Size : 54,5 Mb
Release : 2018
Category : Education
ISBN : 0325093121
"This is a must-read book for any teachers of math." -Jo Boaler, Professor of Mathematics Education at Stanford University and author of Mathematical Mindsets Numerical fluency is about understanding Numerical fluency is about understanding, not memorization. It comes over time as students engage in active thinking and doing, not endless worksheets and timed tests. Classroom instruction and materials, however, often don't feel aligned with these realities. In Developing Numerical Fluency, Patsy Kanter and Steven Leinwand take a fresh look at a commonly-asked question: "How do I teach number facts so my students know them fluently?" They apply their decades of experience teaching mathematics to rethinking effective fluency instruction. Classroom-tested ideas you can use right away Each chapter introduces ideas, techniques, and strategies that contribute to meaningful fluency for all students. You'll find: pivotal understandings that illuminate what contributes to real numerical fluency six instructional processes that support lasting fluency development classroom structures and activities for building fluency in addition, subtraction, multiplication, and division suggestions for creating a school-wide culture of numerical fluency. Patsy and Steve remind us that, "Students do not develop numerical fluency by memorizing and regurgitating rules." But many of us learned mathematics in exactly this way, making shifting our instruction challenging. Developing Numerical Fluency provides just the right support, offering big ideas for rethinking instruction paired with classroom-tested activities you can use right away.
Author : Jessica Shumway
Publisher : Taylor & Francis
Page : 193 pages
File Size : 55,9 Mb
Release : 2023-10-10
Category : Education
ISBN : 9781003839781
In this groundbreaking and highly practical book,Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, author Jessica Shumway proposes that all children have innate number sense which can be developed through daily exercise. Shumway createda series of math routines designed to help young students strengthen and build their facility with numbers. These quick 5, 10, or 15 minute exercises are easy to implement as an add-on to any elementary math curriculum. Understanding Number Sense: Students with strong number sense understand numbers, how to subitize, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies, and use visual models to solve problems. Number Sense Routines supports the early learner by instilling the importance of daily warm-ups and explains how they benefit developing math minds for long-term learning. Real Classroom Examples: Shumway compiled her classroom observations from around the country. She includes conversations among students who practice number sense routines to illustrate them in action, how children's number sense develops with daily use, and math strategies students learn as they develop their numerical literacy through self-paced practice. Assessment Strategies: Number Sense Routines demonstrates the importance of listening to your students and knowing what to look for. Teachers will gain a deeper understanding of the underlying math skills and strategies students learn as they develop numerical literacy. Shumway writes, As you read, you will step into various classrooms and listen in on students' conversations, which I hope will give you insight into the power of number sense routines and the impact they have on students' number sense development. My hope is that going into the classroom, into students' conversations, and into their thought processes, you will come away with new ideas and tools to use in your own classroom.
Author : Julia Anghileri
Publisher : A&C Black
Page : 171 pages
File Size : 55,8 Mb
Release : 2008-05-15
Category : Education
ISBN : 9781847061256
'Developing Number Sense' identifies innovative teaching practices and provides a rigorous treatment of arithmetic and its assessment at Key Stages two and three.
Author : Chris Confer
Publisher : Math Solutions
Page : 158 pages
File Size : 50,8 Mb
Release : 2005
Category : Education
ISBN : 9780941355599
The teaching number sense series focuses on the critical role that number sense plays in students' developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly.
Author : James Hiebert
Publisher : Unknown
Page : 296 pages
File Size : 51,5 Mb
Release : 1988
Category : Education
ISBN : UOM:39015025194534
Conference papers.
Author : Judith T. Sowder,Bonnie P. Schappelle
Publisher : SUNY Press
Page : 348 pages
File Size : 48,9 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 0791425339
This book provides middle school teachers with a firm pedagogical foundation based on the manner in which students learn the mathematics being taught.
Author : Marilyn Burns
Publisher : Math Solutions
Page : 512 pages
File Size : 53,5 Mb
Release : 2007
Category : Education
ISBN : STANFORD:36105123356870
A compendium of more than 240 classroom-tested lessons, this essential resource helps teachers build student understanding and skills and understand how children best learn math. In this third edition, Marilyn Burns has completely revised the first section to reflect what she has learned over the years from her classroom experience with students and her professional development experience with teachers. This section has also been expanded to address these important topics: teaching math vocabulary, incorporating writing into math instruction, linking assessment and instruction, and using children¿s literature to teach key math concepts. In an entirely new section, Marilyn addresses a wide range of questions she has received over the years from elementary and middle school teachers regarding classroom management and instructional issues.
Author : Sherry Parrish
Publisher : Math Solutions
Page : 434 pages
File Size : 44,7 Mb
Release : 2010
Category : Education
ISBN : 9781935099116
"A multimedia professional learning resource"--Cover.
Author : Judith Sowder,Bonnie P. Schappelle
Publisher : State University of New York Press
Page : 348 pages
File Size : 41,8 Mb
Release : 1995-08-03
Category : Education
ISBN : 9781438420738
This book is written primarily for middle grade teachers who are discovering that they now want to teach in ways that create positive mathematical learning environments and instigate rich classroom discourse. Many of these teachers are finding that their mathematical preparation did not address the complexities underlying the mathematics they now want to teach. In Part One, the authors provide a foundation for the mathematics of these grades, particularly the mathematics that grows out of concepts of number, quantity, and arithmetic operations. In Part Two, through three case studies, the authors demonstrate to teachers how a deeper understanding of the mathematics they teach can enhance classroom instruction. The book interweaves research and classroom practice. Mathematics teacher educators, researchers, curriculum developers, textbook authors, and supervisors of mathematics programs will find this book to be useful. Teachers, both prospective and practicing, will benefit most from this book when the chapters are used as catalysts for discussion in classes or professional development programs.
Author : Jessica F. Shumway
Publisher : Stenhouse Publishers
Page : 194 pages
File Size : 47,7 Mb
Release : 2011
Category : Education
ISBN : 9781571107909
Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.
Author : Jessica F. Shumway
Publisher : Stenhouse Publishers
Page : 152 pages
File Size : 45,9 Mb
Release : 2018
Category : Juvenile literature
ISBN : 9781625310880
Upper elementary teachers have a big job: to help students deepen their mathematical understanding and become more efficient mathematicians. Number Sense Routines: Developing Mathematical Understanding Every Day in Grades 3-5 is about tapping into every child's innate number sense and providing daily, connected experiences that are responsive to children's learning needs. Through familiar five-, ten-, or fifteen-minute warm-up routines, author Jessica Shumway offers both beginner and veteran teachers easy and effective ways to build and solidify students' number sense foundations. No matter how familiar the routine, Jessica infuses each with new joy, depth, and life. She reveals the careful thinking and planning that goes into each routine and provides detailed vignettes and dialogues of how they unfold in real classrooms. She gives teachers a clear view into her nuanced facilitation. Each routine becomes an exciting opportunity to understand where students are in their understanding and to help students articulate and extend their mathematical thinking. Not only will these routines help develop students' mathematical understanding as they move towards using standard algorithms, but teachers will learn to better recognize the big ideas that emerge in discussions, how to encourage important strategies based in number sense, and how to facilitate discussions on key mathematical concepts.
Author : Rusty Bresser,Caren Holtzman
Publisher : Math Solutions
Page : 191 pages
File Size : 43,7 Mb
Release : 1999
Category : Education
ISBN : 9780941355230
Imaginative lessons give students practice with mental computation, basic operations, navigating the number system, and estimation. Content is crafted to show that number sense is not a specific skill, but encompasses a student’s ability to think and reason flexibly and make sound numerical judgments.
Author : National Research Council,Division of Behavioral and Social Sciences and Education,Committee on How People Learn: A Targeted Report for Teachers
Publisher : National Academies Press
Page : 265 pages
File Size : 49,9 Mb
Release : 2005-01-28
Category : Education
ISBN : 9780309089500
How Students Learn: Science in the Classroom builds on the discoveries detailed in the best-selling How People Learn. Now these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in science at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. This book discusses how to build straightforward science experiments into true understanding of scientific principles. It also features illustrated suggestions for classroom activities.