Teaching Fractions and Ratios for Understanding

Essential Content Knowledge and Instructional Strategies for Teachers
5. Auflage 2025
ISBN: 978-1-032-93600-0
Verlag: Taylor & Francis Ltd

Buch, Englisch, 290 Seiten, Format (B × H): 178 mm x 254 mm, Gewicht: 453 g

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.

Zielgruppe

Postgraduate and Undergraduate Advanced

Autoren/Hrsg.

Lamon, Susan J.

Fachgebiete

• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Sozialwissenschaften Pädagogik Schulen, Schulleitung Grundschulen, Hauptschulen

Inhaltsverzeichnis

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

Über Autor(innen)

Susan J. Lamon is Professor Emerita of Mathematics, Statistics, and Computer Science at Marquette University, USA.