Introduction : issues in learning fractions and decimals : rethinking our approach -- Equal sharing problems and children's strategies for solving them -- From the classroom : getting started with fractions -- Multiple groups problems and children's strategies for solving them -- Relational thinking: connecting fractions and algebra -- From the classroom: making relational thinking explicit -- Understanding fraction equivalence and order -- Understanding decimals -- Understanding operations on fractions and decimals -- The long view : learning to use children's thinking to guide instruction.