We present a synthesis of findings from constructivist teaching experiments regarding six schemes children construct for reasoning multiplicatively and tasks to promote them. We provide a task-generating platform game, depictions of each scheme, and supporting tasks. Tasks must be distinguished from children's thinking, and learning situations…

A selected bibliography of research studies and books related to mathematics and early childhood education. Studies cited pertain to the development of mathematical thought in children, teaching strategies, age-appropriate mathematical content, and assessment and evaluation of mathematical learning. Only materials published in the last five years…