Any way you slice it, fractions are foundational
Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include:
- Reproducibles for diagnostic tests
- Practice pages for exercises keyed to the diagnostic tests and error patterns
- Pages for practicing alternative algorithms and estimation
- Teacher resources for hands-on activities, game sheets and pieces, and more
- Worksheets, answer keys, and online resources
Each main unit, along with the sections on academic research and ‘Big Ideas, ‘ concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!
Содержание
Preface
Acknowledgments
About the Author
A Look at the Academic Research:Intervention in the Mathematics Classroom
Big Ideas in Fractions and Problem Solving
Unit 1: Fraction Concepts
Unit 2: Addition/Subtraction of Fractions and Mixed Numbers
Unit 3: Multiplication/Division of Fractions and Mixed Numbers
Resources: Worksheets, Activities, and Instructional Games (Blacklines)
Resources for Fraction Concepts
Resources for Addition/Subtraction of Fractions and Mixed Numbers
Resources for Multiplication/Division of Fractions and Mixed Numbers
Answers for Student Materials
References
Technology Resources Online
Об авторе
David B. Spangler is the recipient of the 2014 Lee E. Yunker Mathematics Leadership Award, sponsored by the Illinois Council of Teachers of Mathematics. The award honors an Illinois teacher for providing outstanding resources to mathematics teachers. David has devoted his professional career of more than 40 years to mathematics education. He began as a middle-school mathematics teacher in an individualized setting. Later he taught at Triton Community College, where he gained direct experience interacting with struggling students in a developmental math laboratory. Currently he teachers mathematics methods courses through National-Louis University and Active Math Workshops, a professional development company he co-founded in 1994 (activemath.com). Some of the methods courses and workshops he facilitates address special needs students, intervention, computation, and error analysis at the elementary level. His workshops are designed to help teachers implement the Common Core State Standards for Mathematics. David has literally worked with thousands of students and teachers during his career. For many years David has worked as a mathematics textbook editor at the K–12 level. He has authored several books and has written numerous articles for mathematics journals, such as the popular ‘Cartoon Corner’ for Mathematics Teaching in the Middle School. As an educator, David’s goal has always been to teach mathematics for meaning rather than in a way that promotes rote memorization. Strategies for Teaching Whole Number Computation and Strategies for Teaching Fractions were written to help teachers achieve that goal. David’s other professional goals include exploring ways to teach mathematics through engaging, real-world applications and to explore humorous aspects to mathematics, especially mathematical blunders that illustrate mathematics illiteracy. David is a frequent speaker at conferences of the National Council of Teachers of Mathematics and other professional organizations, addressing teaching mathematics for meaning, teaching mathematics through real-world applications, and teaching mathematics through humor. He also delivers after-dinner talks on the subject of mathematical humor. David lives with his wife, Bonnie, in Northbrook, Illinois. They have three grown children, Ben, Jamie, and Joey.
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