Thinking Mathematics 3-5

Designed for the upper-elementary grade band, this course focuses not only on research findings about how children learn multiplication and division of whole numbers but also on the struggles students have with fraction concepts and computation. Logically extending concepts learned in whole number work to fractions can lessen the cognitive load and help students make sense of them. The course begins with a brief introduction to the Ten Principles of Thinking Mathematics instruction because using these principles leads to a better understanding of mathematics by all students. It focuses on the mathematical practices (habits of mind students develop and use as they learn math) that are now part of nearly all rigorous mathematics standards, including the Common Core State Standards for Mathematics. Multiple representations and strategies are used to develop a deep understanding of multiplication and division. As the distributive property becomes visible, students make connections to the traditional algorithms. Participants learn ways to help students understand fractions as single numbers that can be represented on the number line. This helps them to develop a sense of fraction magnitude so they can make sense of problems and whether answers are reasonable.