Developing Fractions Knowledge - Hackenberg, Amy J
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Présentation Developing Fractions Knowledge Format Relié
- Livre Science humaines et sociales, Lettres
Résumé : Supporting and understanding your students' fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralising around three key stages of development, this effective guide will help you to assess your students' understanding of fractions and modify your teaching accordingly. These key stages are identified as: ? Stage 1a: Fair Sharing ? Stage 1b: Part-Whole ? Stage 2a: Disembedding and Iterating ? Stage 2b: Measuring with Unit Fractions ? Stage 2c: Reversing Fractions ? Stage 3a: Fractions as Numbers ? Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.
Biographie: Dr. Amy J. Hackenberg taught mathematics to middle and high school students for 9 years in L.A. and Chicago, prior to earning a Ph.D. in mathematics education from the University of Georgia. Amy is currently an associate professor of mathematics education at Indiana University-Bloomington. She conducts research on how middle school students construct fractions knowledge and algebraic reasoning and on how teachers can learn to develop productive student-teacher relationships. In her current project she is investigating how to differentiate instruction for diverse middle school students (see https://idream.sitehost.iu.edu/), studying her own teaching as well as working with practicing teachers. She is the proud co-author of the Math Recovery series book, Developing Fractions Knowledge.
Sommaire:
Introduction
Professional Learning and Three Grand Organizers for Arithmetic Instruction
From Whole Numbers to Fractions
Assessing Stages of Units Coordination
Teaching Students at Stage 1: Fragmenting
Transitioning to Stage 2: Part?Whole Reasoning
Teaching Students at Stage 2: Measuring with Unit Fractions
Teaching Students at Stage 2: Reversible Reasoning
Teaching Students at Stage 3: Fractions as Numbers
Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Teaching Students at Stages 2 and 3: Multiplying Fractions
Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Teaching Students at Stages 2 and 3: Dividing Fractions
From Fractions to Algebra
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