By the time they begin school, most children have already developed a sophisticated, informal understanding of basic mathematical concepts and problem-solving strategies. Too often, however, the mathematics instruction that we impose upon them in the classroom fails to connect with this informal kno[...]

The air is full of ideas on how to teach maths better. But many of these ideas are single features, such as "use manipulatives" or "ask high-level questions". Other are based solely on intuitions or anecdotal evidence. "Making Sense" attempts to break new ground by describing a system of instruction[...]