In this important book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help diagnose a child's level of mathematical understanding and provide guidance for teaching. By focusing on the inherent delight and curiosity behind young children's mathematical reasoning,…

This book presents architectural design activities for students to utilize skills in mathematics (geometry, measurement, estimating, and scale), science (materials and engineering), and social studies (surveys, contracts, community planning, and social interaction) to create a playground and to clearly express their ideas about space and play. The…

This book examines the Navajo system of spatial knowledge and describes a culture-based curriculum for the development of an intuitive geometry based on the child's experience of the physical world. Aspects of the Navajo cosmology relevant to spatial knowledge are discussed: the structure of the world; the dynamic nature of the universe;…