Interacting with each other, as well as working independently, just as adults do. Working in teams to challenge and defend possible solutions. Students help each other to learn Working in groups to test solutions to problems, with each group member highly involved. Communicating mathematical ideas to one another through examples, demonstrations, models, drawings, and logical arguments. Applying math to real-life problems and not just practicing a collection of isolated skills.
Students spend lots of time solving complex problems.
Seeking a best solution among several solutions to a problem. Students can explain the different ways they reach these solutions and can defend the choice of one over another. Moving around the room to assess student understanding and to keep everyone engaged in productive work. Using assessment that focuses on problem solving and understanding rather than on memory and speed. Working with other teachers to make connections between disciplines, thus showing how math is a part of other major subjects that students are studying.