No More Math Fact Frenzy

2019
No More Math Fact Frenzy

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  • Author: Linda Ruiz Davenport
  • Publisher: Heinemann Educational Books
  • ISBN: 9780325107325
  • Category : Education
  • Languages : en
  • Pages : 112

"Pencils ready? On your mark...get set...begin!" Remember flipping over a page full of unrelated fact problems and scrambling to answer as many as possible in a minute? Remember trying to memorize math facts by rote? Many of our children are still asked to learn this way-even though research shows this approach can harm student learning more than help. Explore an effective, research-based approach to math fact instruction. No More Math Fact Frenzy examines this research and concludes that our approaches to math fact instruction are often ineffective. We want our students to know their math facts. We know they're better mathematicians when they're comfortable with them. Yet the ways we ask students to learn them in many classrooms remain unproductive. To address this, the authors outline three phases for helping students master their math facts. Building foundational concepts and strategies Learning more efficient reasoning strategies Meaningful, ongoing practice leading to full fact fluency Then they share recommendations for all three phrases: activities and games that build number sense, strategies that lead to flexible thinking, and ways to create and sustain a classroom culture of fluency. This kind of teaching helps students learn their math facts more successfully-and with less stress and anxiety. "When we emphasize foundation concepts and reasoning strategies as the path towards building authentic fluency, students can develop their number sense, articulate their thinking, and understand the reasoning of others." -Linda Ruiz Davenport, Connie S. Henry, Douglas H. Clements, and Julie Sarama

Learning and Teaching Early Math

2020-12-29
Learning and Teaching Early Math

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  • Author: Douglas H. Clements
  • Publisher: Taylor & Francis
  • ISBN: 1000288447
  • Category : Education
  • Languages : en
  • Pages : 489

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

A Focus on Addition and Subtraction

2020-11-23
A Focus on Addition and Subtraction

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  • Author: Caroline B. Ebby
  • Publisher: Routledge
  • ISBN: 1000220877
  • Category : Education
  • Languages : en
  • Pages : 239

This innovative text offers a unique approach to making mathematics education research on addition, subtraction, and number concepts readily accessible and understandable to pre-service and in-service teachers of grades K–3. Revealing students’ thought processes with extensive annotated samples of student work and vignettes characteristic of teachers’ experiences, this book provides educators with the knowledge and tools needed to modify their lessons and improve student learning of additive reasoning in the primary grades. Based on research gathered in the Ongoing Assessment Project (OGAP), this engaging, easy-to-use resource features practical resources such as: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students’ errors and misconceptions, as well as their developing conceptual understanding; A focus on the OGAP Addition, Subtraction, and Base Ten Number Progressions, based on research conducted with hundreds of teachers and thousands of pieces of student work; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; An accompanying eResource, available online, offers an answer key to Looking Back questions, as well as a copy of the OGAP Additive Framework and the OGAP Number Line Continuum. A Focus on Addition and Subtraction marks the fourth installment of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. Following from previous volumes on ratios and proportions, multiplication and division, and fractions, this newest addition is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

Mastering the Basic Math Facts in Multiplication and Division

2011
Mastering the Basic Math Facts in Multiplication and Division

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  • Author: Susan O'Connell
  • Publisher: Heinemann Educational Books
  • ISBN: 9780325029627
  • Category : Arithmetic
  • Languages : en
  • Pages : 0

Presents an approach to teaching basic math facts to young students, featuring instructional strategies, tips, and classroom activities. Includes a CD-ROM with customizable activities, templates, recording sheets, and teacher tools.

Answers to Your Biggest Questions About Teaching Elementary Math

2021-08-31
Answers to Your Biggest Questions About Teaching Elementary Math

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  • Author: John J. SanGiovanni
  • Publisher: Corwin Press
  • ISBN: 1071861220
  • Category : Education
  • Languages : en
  • Pages : 233

Your guide to grow and learn as a math teacher! Let’s face it, teaching elementary math can be hard. So much about how we teach math today may look and feel different from how we learned it. Today, we recognize placing the student at the center of their learning increases engagement, motivation, and academic achievement soars. Teaching math in a student-centered way changes the role of the teacher from one who traditionally “delivers knowledge” to one who fosters thinking. Most importantly, we must ensure our practice gives each and every student the opportunity to learn, grow, and achieve at high levels, while providing opportunities to develop their agency and authority in the classroom which results in a positive math identity. Whether you are a brand new teacher or a veteran, if you find teaching math to be quite the challenge, this is the guide you want by your side. Designed for just-in-time learning and support, this practical resource gives you brief, actionable answers to your most pressing questions about teaching elementary math. Written by four experienced math educators representing diverse experiences, these authors offer the practical advice they wish they received years ago, from lessons they′ve learned over decades of practice, research, coaching, and through collaborating with teams, teachers and colleagues—especially new teachers—every day. Questions and answers are organized into five areas of effort that will help you most thrive in your elementary math classroom: 1. How do I build a positive math community? 2. How do I structure, organize, and manage my math class? 3. How do I engage my students in math? 4. How do I help my students talk about math? 5. How do I know what my students know and move them forward? Woven throughout, you′ll find helpful sidebar notes on fostering identity and agency; access and equity; teaching in different settings; and invaluable resources for deeper learning. The final question—Where do I go from here?— offers guidance for growing your practice over time. Strive to become the best math educator you can be; your students are counting on it! What will be your first step on the journey?

Math Fact Fluency

2019-01-14
Math Fact Fluency

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  • Author: Jennifer Bay-Williams
  • Publisher: ASCD
  • ISBN: 1416627227
  • Category : Education
  • Languages : en
  • Pages : 206

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.

Teaching Students to Think Like Scientists

2013-12-11
Teaching Students to Think Like Scientists

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  • Author: Maria C. Grant
  • Publisher: Solution Tree Press
  • ISBN: 1936765403
  • Category : Education
  • Languages : en
  • Pages : 382

It is essential that students learn to examine, review, and evaluate knowledge and ideas through a process of scientific investigation and argumentation. Using these instructional methods and lesson scenarios, teachers of all disciplines will gain the tools needed to offer students a richer, lasting understanding of science, its concepts, and its place in their lives and the global community.

Nothing Stopped Sophie

2018-06-12
Nothing Stopped Sophie

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  • Author: Cheryl Bardoe
  • Publisher: Little, Brown Books for Young Readers
  • ISBN: 0316394297
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 41

The true story of eighteenth-century mathematician Sophie Germain, who solved the unsolvable to achieve her dream. When her parents took away her candles to keep their young daughter from studying math...nothing stopped Sophie. When a professor discovered that the homework sent to him under a male pen name came from a woman...nothing stopped Sophie. And when she tackled a math problem that male scholars said would be impossible to solve...still, nothing stopped Sophie. For six years Sophie Germain used her love of math and her undeniable determination to test equations that would predict patterns of vibrations. She eventually became the first woman to win a grand prize from France's prestigious Academy of Sciences for her formula, which laid the groundwork for much of modern architecture (and can be seen in the book's illustrations). Award-winning author Cheryl Bardoe's inspiring and poetic text is brought to life by acclaimed artist Barbara McClintock's intricate pen-and-ink, watercolor, and collage illustrations in this true story about a woman who let nothing stop her.

Developing Numerical Fluency

2018
Developing Numerical Fluency

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  • Author: Patsy Kanter
  • Publisher: Heinemann Educational Books
  • ISBN: 9780325093123
  • Category : Education
  • Languages : en
  • Pages : 184

"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.

Four Colors Suffice

2002
Four Colors Suffice

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  • Author: Robin J. Wilson
  • Publisher: Princeton University Press
  • ISBN: 9780691120232
  • Category : Mathematics
  • Languages : en
  • Pages : 284

On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.