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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.

Essential Understanding...