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 series topics include:Number and Numeration for Grades Pre-K-2Addition and Subtraction for Grades Pre-K-2Geometry for Grades Pre-K-2Reasoning and Proof for Grades Pre-K-8Multiplication and Division for Grades 3-5Rational Numbers for Grades 3-5Algebraic Ideas and Readiness for Grades 3-5Geometric Shapes and Solids for Grades 3-5Ratio, Proportion and Proportionality for Grades 6-8Expressions and Equations for Grades 6-8Measurement for Grades 6-8Data Analysis and Statistics for Grades 6-8Function for Grades 9-12Geometric Relationships for Grades 9-12Reasoning and Proof for Grades 9-12Statistics for Grades 9—12