http://worldcat.org/entity/work/id/393909784

Developing Essential Understanding of Ratios, Proportions, andProportional Reasoning for Teaching Mathematics: Grades 6-8

How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers--to grasp. It will help you engage your students, anticipate their perplexities, help them avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing your students' understanding of the topic. It includes three chapters: (1) Ratios, Proportions, and Proportional Reasoning: The Big Idea and Essential Understandings; (2) Connections: Looking Back and Ahead in Learning; and (3) Challenges: Learning, Teaching, and Assessing. Foreword (Henry Kepner), Preface, Introduction and References are also included.

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