Extending Children’s Mathematics was developed by the Cognitively Guided Instruction (CGI) research and development group to extend the ideas of CGI to third through sixth grade students. Over twenty-five years of CGI research has shown that students learn with understanding if and only if new concepts are connected to what they already know. This Institute is devoted to studying how students’ learning of computation with large numbers, fractions, decimals, and algebraic thinking can be connected to what they already understand about whole number operations. What teachers learn in this Institute enhances how they use any curriculum or resource materials. In this Institute you will learn to: (1) Analyze the connections between whole number operations and fractions, decimals and algebra; (2) Assess your students’ understanding of these concepts: (3) Design problems to build the bridge between students’ current understanding and your specific learning goals; and (4) Facilitate the discussion of mathematical ideas in a manner that engages all learners at the same time as it encourages the development of more sophisticated understanding.