Developing Fractions Knowledge
Second Edition
Amy J Hackenberg
- Indiana University - Bloomington, USA
Anderson Norton
- Virginia Tech University, USA
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This key guide in the best-selling Math Recovery series breaks the fractions learning process down into stages of development, from fragmenting to part-whole reasoning, measuring with unit fractions, reversible reasoning and, finally, using fractions as numbers.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
Contents
Ch1: Focusing on the Mathematical Actions of Children
Ch1: Focusing on the Mathematical Actions of Children
Ch2: From Whole Numbers to Fractions
Ch2: From Whole Numbers to Fractions
Ch3: Assessing Stages of Units Coordination
Ch3: Assessing Stages of Units Coordination
Ch4: Teaching Students at Stage 1: Fragmenting
Ch4: Teaching Students at Stage 1: Fragmenting
Ch5: Transitioning to Stage 2: Part–Whole Reasoning
Ch5: Transitioning to Stage 2: Part–Whole Reasoning
Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
Ch7: Teaching Students at Stage 2: Reversible Reasoning
Ch7: Teaching Students at Stage 2: Reversible Reasoning
Ch8: Teaching Students at Stage 3: Fractions as Numbers
Ch8: Teaching Students at Stage 3: Fractions as Numbers
Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
Ch13: From Fractions to Algebra
Ch13: From Fractions to Algebra
Description
This key guide in the best-selling Math Recovery series breaks the fractions learning process down into stages of development, from fragmenting to part-whole reasoning, measuring with unit fractions, reversible reasoning and, finally, using fractions as numbers.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
Contents
Ch1: Focusing on the Mathematical Actions of Children
Ch1: Focusing on the Mathematical Actions of Children
Ch2: From Whole Numbers to Fractions
Ch2: From Whole Numbers to Fractions
Ch3: Assessing Stages of Units Coordination
Ch3: Assessing Stages of Units Coordination
Ch4: Teaching Students at Stage 1: Fragmenting
Ch4: Teaching Students at Stage 1: Fragmenting
Ch5: Transitioning to Stage 2: Part–Whole Reasoning
Ch5: Transitioning to Stage 2: Part–Whole Reasoning
Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
Ch7: Teaching Students at Stage 2: Reversible Reasoning
Ch7: Teaching Students at Stage 2: Reversible Reasoning
Ch8: Teaching Students at Stage 3: Fractions as Numbers
Ch8: Teaching Students at Stage 3: Fractions as Numbers
Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
Ch13: From Fractions to Algebra
Ch13: From Fractions to Algebra
280 pages | Sage UK
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This key guide in the best-selling Math Recovery series breaks the fractions learning process down into stages of development, from fragmenting to part-whole reasoning, measuring with unit fractions, reversible reasoning and, finally, using fractions as numbers.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
It uses these stages to sequence effective learning for your elementary, or primary, classroom. It also contains a range of instructional tasks and assessment activities that will help you to measure your students’ mathematical understanding and modify your teaching accordingly.
This second edition has been fully revised to include new Lesson and Teacher Spotlight features that offer enhanced guidance on class application, and more prominent links between mathematical theory and whole number learning. It has been rewritten to align with the latest version of the Learning Framework in Number, the structured approach underpinning Math Recovery® professional development.
Table Of Contents:
- Ch1: Focusing on the Mathematical Actions of Children
- Ch2: From Whole Numbers to Fractions
- Ch3: Assessing Stages of Units Coordination
- Ch4: Teaching Students at Stage 1: Fragmenting
- Ch5: Transitioning to Stage 2: Part–Whole Reasoning
- Ch6: Teaching Students at Stage 2: Measuring with Unit Fractions
- Ch7: Teaching Students at Stage 2: Reversible Reasoning
- Ch8: Teaching Students at Stage 3: Fractions as Numbers
- Ch9: Teaching Students at Stages 2 and 3: Equal Sharing of Multiple Items
- Ch10: Teaching Students at Stages 2 and 3: Multiplying Fractions
- Ch11: Teaching Students at Stages 2 and 3: Adding and Subtracting Fractions
- Ch12: Teaching Students at Stages 2 and 3: Dividing Fractions
- Ch13: From Fractions to Algebra