Unpacking Fractions

Classroom-Tested Strategies to Build Students’ Mathematical Understanding

Author: Monica Neagoy

Publisher: ASCD

ISBN: 1416621237

Category: Education

Page: 286

View: 2465

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.
Release

Math Fact Fluency

60+ Games and Assessment Tools to Support Learning and Retention

Author: Jennifer Bay-Williams,Gina Kling

Publisher: ASCD

ISBN: 1416627227

Category: Education

Page: 188

View: 7248

DOWNLOAD NOW »

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 facts. This approach to facts instruction, grounded in years of research, will transform students' learning of basic facts and help them become more confident, adept, and successful at math.
Release

Elementary and Middle School Mathematics

Teaching Developmentally

Author: John A. Van de Walle,Karen Karp,Jennifer M. Bay-Williams

Publisher: Pearson College Division

ISBN: N.A

Category: Education

Page: 490

View: 6251

DOWNLOAD NOW »

Elementary and Middle School Mathematics: Teaching Developmentally.
Release

Diagnostic Competence of Mathematics Teachers

Unpacking a Complex Construct in Teacher Education and Teacher Practice

Author: Timo Leuders,Kathleen Philipp,Juliane Leuders

Publisher: Springer

ISBN: 3319663275

Category: Education

Page: 265

View: 8343

DOWNLOAD NOW »

This book examines the various areas of mathematics education and neighboring disciplines that have recently contributed to a better understanding of the still vague construct of diagnostic competence. The work addresses the nature, development and effect of diagnostic competence in mathematics instruction, with a focus on the professional development of teachers.
Release