Teaching Fractions and Ratios for Understanding (4th Ed.) Essential Content Knowledge and Instructional Strategies for Teachers
Auteur : Lamon Susan J.
Written in a user-friendly, conversational style, the fourth edition of this groundbreaking text helps pre-service and in-service mathematics teachers build the comfort and confidence they need to begin talking to children about fractions and ratios, distilling complex ideas and translating research into usable ideas for the classroom.
For two decades, Teaching Fractions and Ratios for Understanding has pushed readers beyond the limits of their current understanding of fractions and rational numbers, challenging them to refine and explain their thinking without falling back on rules and procedures they have relied on throughout their lives. All of the material offered in the book has been used with students, and is presented so that readers can see the brilliance of their insights as well as the issues that challenge their understanding. Each chapter includes children?s strategies and samples of student work for teacher analysis, as well as activities for practicing each thinking strategy, designed to be solved without rules or algorithms, using reasoning alone.
The fourth edition of this popular text has been updated throughout and includes new examples of student work, updated artwork, and more.
As with previous editions, an equally valuable component of this text is the companion book MORE! Teaching Fractions and Ratios for Understanding (2012), a supplement that is not merely an answer key but a resource that provides the scaffolding for the groundbreaking approach to fraction and ratio instruction explored here. MORE! includes in-depth discussions of selected problems in the main text, supplementary activities, Praxis preparation questions, more student work, and templates for key manipulatives.
1. Proportional Reasoning: An Overview 2. Fractions and Rational Numbers 3. Relative Thinking and Measurement 4. Quantities and Covariation 5. Proportional Reasoning 6. Reasoning with Fractions 7. Fractions as Part–Whole Comparisons 8. Fractions as Quotients 9. Fractions as Operators 10. Fractions as Measures 11. Ratios and Rates 12. Changing Instruction
Susan J. Lamon is Professor Emerita of Mathematics, Statistics, and Computer Science at Marquette University.
Date de parution : 03-2020
17.8x25.4 cm
Date de parution : 03-2020
17.8x25.4 cm
Thème de Teaching Fractions and Ratios for Understanding :
Mots-clés :
Granola Bars; rational; Cheese Pizza; number; Pepperoni Pizzas; proportional reasoning; Veggie Pizza; a focus on fractions; Fraction Instruction; teaching fractions; Rational Number Interpretations; elementary math; Rational Number; secondary math; Superb; middle school math; Equal Sized Pieces; elementary and middle school mathematics; Candy Bars; CCSSM; Fraction Strips; MORE! Teaching Fractions and Ratios for Understanding; Equivalent Fractions; Martin’s Method; Fraction Operations; Arrow Notation; Equal Pieces; Successive Partitioning; Pie Cut; Allan’s Fraction; Partitioning Activities; Ratio Table; Train Tickets; Word Fraction; Total Pizza