Joanne Lobato – författare

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

Teaching Ratios, Proportions and Proportional Reasoning 6–8Get a deeper understanding of Ratios and Proportions with our concise and comprehensive Go-To Guide.Based on Developing Essential Understanding of Ratios, Proportions, and Proportionality and Putting Essential Understanding of Ratios and Proportions into Practice, this summary distills the key concepts and ideas into a quick-reference guide that's perfect for:Supplementing your reading of Developing Essential Understanding of Ratios, Proportions, and Proportionality and Putting Essential Understanding of Ratios and Proportions into PracticeReviewing the basics before diving deeper into the subjectRefreshing your knowledge and filling in gaps in your understandingIdentifying areas where you need more information and want to learn moreGo-To Guides are designed to provide you with a thorough grasp of the mathematical ideas and principles needed to teach Ratios and Proportions by focusing on the core concepts and relationships that underlie the subject.This Go-To Guide is perfect for those looking to:Develop a deeper understanding of Ratios and ProportionsCreate targeted lessons and activities that meet the needs of studentsAnticipate common student misconceptions and errorsDesign effective assessments and evaluationsEnhance your own math knowledge and skillsWhether you're new to teaching Ratios and Proportions or an experienced educator, our Go-To Guides will be your trusted resource for teaching with confidence and clarity.

This book provides a common language for and makes connections between transfer research in mathematics education and transfer research in related fields. It generates renewed excitement for and increased visibility of transfer research, by showcasing and aggregating leading-edge research from the transfer research community.  This book also helps to establish transfer as a sub-field of research within mathematics education and extends and refines alternate perspectives on the transfer of learning. The book provides an overview of current knowledge in the field as well as informs future transfer research.