“The book’s strengths are many. The in-depth coverage of the mathematical concepts and the related research are invaluable. But notably the greatest strength, in my view, is the inclusion of the developmental trajectories. I think these are an invaluable reference for anyone teaching mathematics to young children, and I encourage my students to all hold onto this text for reference when teaching.”―Barbrina Ertle, Department of Education, Adelphi University

Praise for the 1st Edition:

“What math is most important for young learners? What concepts and skills are foundational for their reaching the next level of math understanding? And how can teachers help children grasp each new idea and remain enthusiastic about math? These are the key questions in this incredibly valuable book from Douglas Clements and Julie Sarama. For each topic area, they clearly describe the developmental path, or ‘learning trajectory,’ along which children move to develop mathematical concepts and skills. And they offer evidence-based guidelines and instructional activities in an engaging, straightforward way that reflects their deep respect for, and understanding of, what teachers do.” ―Carol Copple, Former Director, Publications and Initiatives in Educational Practice, National Association for the Education of Young Children

"One of the book's greatest strengths is the focus on 'Developmental Trajectories', which are a little like 'schemas'. Learning or developmental progressions that children follow as they are learning something - for example, from rolling, crawling, walking, skipping and jumping, to running and moving with increased speed and dexterity." - Martine Horvath, eye magazine

"Armed with learning trajectories, it is easy to assess any student's thinking via pedagogical documentation, locate the student on a trajectory, determine the next step in the child's learning, provide feedback that fosters it and program relevant instructional tasks." - Edward Schroeter, ETFO VOICE

Douglas H. Clements is the Kennedy Endowed Chair in Early Childhood Learning, Executive Director of the Marsico Institute of Early Learning and Literacy, and Professor at the University of Denver, USA.

Julie Sarama is the Kennedy Endowed Chair in Innovative Learning Technologies and Professor at the University of Denver, USA.