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Developing Numerical Fluency
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Book Synopsis Developing Numerical Fluency by : Patsy Kanter
Download or read book Developing Numerical Fluency written by Patsy Kanter and published by Heinemann Educational Books. This book was released on 2018 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Developing Number Knowledge by : Robert J Wright
Download or read book Developing Number Knowledge written by Robert J Wright and published by SAGE. This book was released on 2011-11-04 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the great success of the earlier books, this fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasising computational fluency and the progressive development of students′ mathematical sophistication. The book is organized in key domains of number instruction, including structuring numbers 1 to 20, knowledge of number words and numerals, conceptual place value, mental computation, written computation methods, fractions, and early algebraic reasoning. Features include: fine-grained progressions of instruction within each domain; detailed descriptions of students′ strategies and difficulties; assessment tasks with notes on students′ responses; classroom-ready instructional activities; This book is designed for classroom and intervention teachers, special education teachers and classroom assistants. The book is an invaluable resource for mathematics advisors and coaches, learning support staff, numeracy consultants, curriculum developers, teacher educators and researchers.
Book Synopsis Number Sense Routines by : Jessica Shumway
Download or read book Number Sense Routines written by Jessica Shumway and published by Taylor & Francis. This book was released on 2023-10-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Math Fact Fluency by : Jennifer Bay-Williams
Download or read book Math Fact Fluency written by Jennifer Bay-Williams and published by ASCD. This book was released on 2019-01-14 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This approach to teaching basic math facts, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math. Mastering the basic facts for addition, subtraction, multiplication, and division is an essential goal for all students. Most educators also agree that success at higher levels of math hinges on this fundamental skill. But what's the best way to get there? Are flash cards, drills, and timed tests the answer? If so, then why do students go into the upper elementary grades (and beyond) still counting on their fingers or experiencing math anxiety? What does research say about teaching basic math facts so they will stick? In Math Fact Fluency, experts Jennifer Bay-Williams and Gina Kling provide the answers to these questions—and so much more. This book offers everything a teacher needs to teach, assess, and communicate with parents about basic math fact instruction, including The five fundamentals of fact fluency, which provide a research-based framework for effective instruction in the basic facts. Strategies students can use to find facts that are not yet committed to memory. More than 40 easy-to-make, easy-to-use games that provide engaging fact practice. More than 20 assessment tools that provide useful data on fact fluency and mastery. Suggestions and strategies for collaborating with families to help their children master the basic math facts. Math Fact Fluency is an indispensable guide for any educator who needs to teach basic math facts.
Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.
Book Synopsis Figuring Out Fluency - Addition and Subtraction With Whole Numbers by : John J. SanGiovanni
Download or read book Figuring Out Fluency - Addition and Subtraction With Whole Numbers written by John J. SanGiovanni and published by Corwin Press. This book was released on 2021-07-27 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can: • Dive deeper into the Significant Strategies for fluency explained in the anchor book • Learn how these strategies grow from and relate to the basic fact strategies children learn • Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers • Find activities for assessing all components of addition and subtraction fluency plus support for engaging families • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
Book Synopsis Sensible Mathematics by : Steve Leinwand
Download or read book Sensible Mathematics written by Steve Leinwand and published by Heinemann Educational Books. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intervention: providing effective support services.
Book Synopsis Planning Guide for Developing Number Concepts by : Kathy Richardson
Download or read book Planning Guide for Developing Number Concepts written by Kathy Richardson and published by . This book was released on 1999 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Planning Guide for Developing Number Concepts accompanies the series. The guide was written for kindergarten through grade three teachers and teachers of multi-grade classes. It includes comprehensive year-long teaching plans along with classroom management ideas."--Publisher's website.
Book Synopsis Developing Number Concepts: Counting, comparing, and pattern by : Kathy Richardson
Download or read book Developing Number Concepts: Counting, comparing, and pattern written by Kathy Richardson and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developing number concepts (grades prep-2) :DS21882.
Book Synopsis Building Powerful Numeracy for Middle and High School Students by : Pamela Weber Harris
Download or read book Building Powerful Numeracy for Middle and High School Students written by Pamela Weber Harris and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: As secondary math teachers, we're often frustrated by the lack of true number sense in our students. Solid research at the elementary level shows how to help all students become mathematically proficient by redefining what it means to compute with number sense. Pam Harris has spent the past ten years scrutinizing the research and using the resulting reform materials with teachers and students, seeing what works and what doesn't work, always with an eye to success in higher math. This book brings these insights to the secondary world, with an emphasis on one powerful goal: building numeracy.--Page [4] of cover
Download or read book The Daily 5 written by Gail Boushey and published by Taylor & Francis. This book was released on 2023-10-10 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Daily 5: Fostering Literacy in the Elementary Grades, Second Edition retains the core literacy components that made the first edition one of the most widely read books in education and enhances these practices based on years of further experience in classrooms and compelling new brain research. The Daily 5 provides a way for any teacher to structure literacy (and now math) time to increase student independence and allow for individualized attention in small groups and one-on-one. Teachers and schools implementing the Daily 5 will do the following: Spend less time on classroom management and more time teaching Help students develop independence, stamina, and accountability Provide students with abundant time for practicing reading, writing, and math Increase the time teachers spend with students one-on-one and in small groups Improve schoolwide achievement and success in literacy and math. The Daily 5, Second Edition gives teachers everything they need to launch and sustain the Daily 5, including materials and setup, model behaviors, detailed lesson plans, specific tips for implementing each component, and solutions to common challenges. By following this simple and proven structure, teachers can move from a harried classroom toward one that hums with productive and engaged learners. What's new in the second edition: Detailed launch plans for the first three weeks Full color photos, figures, and charts Increased flexibility regarding when and how to introduce each Daily 5 choice New chapter on differentiating instruction by age and stamina Ideas about how to integrate the Daily 5 with the CAFE assessment system New chapter on the Math Daily 3 structure
Book Synopsis Accessible Mathematics by : Steve Leinwand
Download or read book Accessible Mathematics written by Steve Leinwand and published by Heinemann Educational Books. This book was released on 2009 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Raising students' math achievement doesn't mean ripping up your planning book and starting over. In Accessible Mathematics Steven Leinwand (author of Sensible Mathematics) shows how small shifts in the good teaching you already do can make a big difference in student learning. Steve focuses on the crucial issue of classroom instruction. He scours the research and visits highly effective classrooms for practical examples of small adjustments to your teaching that lead to deeper student learning in math. Some of his 10 classroom-tested teaching shifts may surprise you and others will validate your thinking. But all of them will improve your students' performance. Thoroughly practical and ever-aware of the limits of teachers' time, Steve gives you everything you need to put his commonsense ideas to use immediately. His extensive planning advice will help you streamline your teaching to get more from everything you do. Classroom examples from every grade level model teaching language and instructional moves. And his suggestions for professional learning help increase your effectiveness through the power of collaboration. Steven Leinwand shares your priority: raising the mathematical understanding and achievement of every one of your students. Read Accessible Mathematics, try his 10 suggestions in your practice, and discover how minor shifts in your teaching can put student learning into high gear.
Download or read book Early Numeracy written by Robert J Wright and published by SAGE. This book was released on 2006-01-05 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: ′Unlike many books based on research work this book doesn′t just let teachers know what is going wrong with children′s learning it actually gives some practical advice about what to do next. The whole book is based upon extensive observation and recording of individual children and their difficulties with mathematics. These children are the most difficult to plan for in a busy classroom and the authors appreciate the small steps and the different learning styles approaches needed for these children. This approach fits well with the NNS wave and springboard materials but takes the analysis of the individual′s difficulties to a more detailed level. The book brings together research carried out across a range of countries and therefore shows the versatility of the approaches taken. This will be a very useful book for trainee teachers as it exemplifies how to use assessment to feed into teaching. It will be helpful for class teachers and mathematics co-ordinators as well as SENCOs to assist in improving the teaching and learning for specific children in our schools′ - Mary Briggs, Primary and Early Years PGCE Co-ordinator, Institute of Education, University of Warwick ′This is a highly practical resource that will be appreciated by classroom and specialist teachers alike. It will provide teachers new to the Math Recovery program with practical help and support to diagnose errors and misconceptions in early numeracy. Practicing Math Recovery Specialists will be thrilled with the addition of four new highly focused assessments and an elaboration of the Learning Framework in Number. Early Numeracy is admirably grounded in international research and well-established theory, characteristics that are much sought after in the current data driven educational environment. Like many others, I was drawn to Math Recovery after reading the first edition of Early Numeracy. This second edition is a treasure - it is exciting to consider the impact it will have on children and teachers, and to the growth of the Math Recovery program′ - Audrey Murray, Lead Teacher, Midwest Math Recovery Training Center, Minneapolis This text has been fully updated to include developments and refinements brought about by widespread international application of the assessment tools in the Mathematics Recovery Programme. The book will help practitioners to identify and provide detailed analyses of all children but especially those who are able and those who underachieve in early numeracy. It will enable teachers, learning support personnel, numeracy consultants and educational psychologists to advise colleagues and parents on children′s number knowledge and strategies for early numeracy. The Mathematics Recovery Programme has been successfully applied in Australia, the United Kingdom and Ireland, the United States and Canada, both in specialist interventions and classroom settings. The revised version shows how familiarisation with, and understanding of, the diagnostic assessment tools has allowed teachers to become more knowledgeable in understanding children′s difficulties and misconceptions, and more skilled and confident in planning programmes of intervention and monitoring the children′s progress. This new edition includes: - Integrated frameworks of useful tasks for assessing children′s number knowledge and strategies; - Four separate and revised diagnostic assessment interviews; - Assessments for addition and subtraction strategies, Base Ten Arithmetical strategies, Early Grouping strategies, and Advanced Grouping strategies in the four operations; - How the assessment process has impacted significantly on teachers′ professional development and contributed to the raising of standards in early numeracy.
Book Synopsis Mathematical Mindsets by : Jo Boaler
Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Book Synopsis Teaching for Mastery by : Mark McCourt
Download or read book Teaching for Mastery written by Mark McCourt and published by John Catt. This book was released on 2019-06-28 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many models of schooling; some work, some don't. Mastery is an entire model of schooling with over 100 years of provenance, its impact has been researched for decades, with many of the world's greatest education minds testing and refining the approach. It's one of the models of schooling that actually works. In this book, Mark McCourt examines the history of a teaching for mastery approach, from its early beginnings to the modern day when cognitive scientists have been able to bring further evidence to the debate, demonstrating why a model that was first proposed in the 1910s has the incredible impact on both pupil attainment and attitudes to learning that it has had all around the world over many decades. Drawing on examples from cross disciplines, the story of mastery is one that all educators can engage with. Mark also draws on his own subject, mathematics, to further exemplify the approach and to give practical examples of pedagogies and didactics that teachers can deploy immediately in their own classroom.
Book Synopsis Invigorating High School Math by : Steven Leinwand
Download or read book Invigorating High School Math written by Steven Leinwand and published by . This book was released on 2021-08-31 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dramatically Improving High School Mathematics Must Start Now! High school math is failing many students. Out-of-date and stale curricula are not only dull, but perpetuate inequity by limiting opportunities and failing to prepare a majority of students for life in the 21st century. Even traditionalists recognize that the status quo is no longer acceptable. Major shifts in course organization, mathematical content, pedagogy, and assessment are long overdue. Practical Guidance for Meaningful Transformation Invigorating High School Math is a clarion call for meaningful transformation. Throughout the book, Steven Leinwand and Eric Milou address the most critical challenges facing high school mathematics and provide practical guidance for: addressing challenges and excuses that often short-circuit new approaches making the case for the importance of and rationale for changing high school math creating core integrated math courses for grades 9 and 10 and coherent pathways for grades 11 and 12 making critical shifts in pedagogy and classroom practice designing high-quality assessments and using them effectively developing and executing a rational implementation plan A Stimulus for Discussion and a Road Map for Change Many of these ideas will not be broadly popular. It's likely that none of them will be easy to implement. That's no surprise: For nearly a century, the basic structure of high school mathematics has barely changed-not because of its effectiveness, but because the status quo is a powerful force requiring purposeful action to break. This book was written for every high school math educator and leader-as both a stimulus for discussion and a road map for change. Our hope, say the authors, is that this book stimulates change, empowers teachers, and guides the profession on this critical journey to invigorate high school mathematics.
Book Synopsis Teaching Number Sense, Kindergarten by : Chris Confer
Download or read book Teaching Number Sense, Kindergarten written by Chris Confer and published by Math Solutions. This book was released on 2005 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
