eBook downloads, eBook resources & eBook authors
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.
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.
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
Following up her' best-selling book, Number Sense Routines: Building Numerical Literacy Every Day in Grades K-3, Jessica Shumway turns her focus to upper elementary classrooms. 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. Consistent, Daily Routines Work:' Adaptable to any curriculum, Shumway' s 5, 10, or 15 minute warm-up routines are an easy and effective way to build and solidify students' number sense foundations as a supplement to any program Planning and Facilitating Your Classroom:' No matter how familiar the routine, Shumway provides insight on how to keep daily warm-ups fresh. She reveals careful thinking and planning that goes into each routine and offers detailed vignettes and dialogues of how they unfold in real classrooms Assessment Strategies:' As students engage in the process, each routine becomes an exciting opportunity to gain insight into where they are in their understanding and help students articulate their mathematical thinking Identify Big Ideas: Not only will these math 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 conversations on key mathematical concepts. ' 'These routines may appear in other places, [but] I have never seen them written in such detail and with so many variations.. . .. Although she makes what she does sound easy, we all know that teaching math well is anything but easy. It is challenging and complex. Unpacking what students are saying, helping them make connections not only to the math but to each other's ideas, while simultaneously recording their ideas using mathematical models, visuals, or equations is no easy task. Jessica provides wonderful visuals, examples of student work, and so much more to help educators develop the tools they need to improve their practice and in so doing improve student learning. ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' ' – From the Foreword by math coach and consultant Lucy West
"Ten-frames are a model to help students efficiently gain and develop an understanding of addition and subtraction. The classroom-tested routines, games, and problem-solving lessons in this book use ten-frames to develop students' natural strategies for adding numbers and fit into any set of state standards or curriculum"--Provided by publisher.
"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.
