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Teaching Fractions and Ratios for Understanding: Essential Content Knowledge and Instructional Strategies for Teachers 5th edition [Hardback]

(Marquette University)
  • Formāts: Hardback, 280 pages, height x width: 254x178 mm, weight: 453 g, 1564 Line drawings, black and white; 221 Halftones, black and white; 1785 Illustrations, black and white
  • Izdošanas datums: 25-Sep-2025
  • Izdevniecība: Routledge
  • ISBN-10: 1032936029
  • ISBN-13: 9781032936024
Citas grāmatas par šo tēmu:
  • Formāts: Hardback, 280 pages, height x width: 254x178 mm, weight: 453 g, 1564 Line drawings, black and white; 221 Halftones, black and white; 1785 Illustrations, black and white
  • Izdošanas datums: 25-Sep-2025
  • Izdevniecība: Routledge
  • ISBN-10: 1032936029
  • ISBN-13: 9781032936024
Citas grāmatas par šo tēmu:

The fifth edition of this user-friendly textbook helps mathematics educators explore and explain the complex world of rational numbers. It translates research into usable ideas for the classroom, including reasoning strategies, models, and questioning techniques that promote deep understanding that cannot be achieved by merely practicing fraction computation.

Updated throughout with new examples and models from research, each chapter in the new edition incorporates 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. All content has been used with students and is presented with the learner in mind, acknowledging the brilliance of students' insights as well as the issues that challenge their understanding. It covers a broad range of topics in the progression from relative thinking to proportional reasoning, including fractions, ratios, rates, operators, measures, percents, and more.

For over two decades, Teaching Fractions and Ratios for Understanding has helped elementary and middle school teachers expand their understanding and teaching strategies for rational number topics. The fifth edition is essential reading for mathematics courses, teacher preparation courses, graduate courses preparing researchers in mathematics education, and parents engaged in home schooling.



The fifth edition of this user-friendly textbook helps mathematics educators explore and explain the complex world of rational numbers.

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. Distance - Speed - Time
13. Summary
14.
Problem Solving
Susan J. Lamon is Professor Emerita of Mathematics, Statistics and Computer Science at Marquette University, USA.