Math Trajectories for Young Learners

The authors provide a comprehensive and practical guide to early childhood mathematics, blending research, practice, and inspiration into a resource that teachers can immediately use. Through anecdotes, illustrative videos with a comprehensive index, and detailed assessment protocols, they show how learning trajectories and formative assessment can be used to inform instruction in powerful, meaningful ways. Written in clear and engaging language, the book explains the mathematics itself, how children think and learn, and how teachers can guide that learning with confidence and joy.Math Trajectories for Young Learners emphasizes that high-quality early mathematics requires three essentials. First, teachers need a deep understanding of mamath goals, developmental progressions, and linked teaching strategies. Second, teachers must design high-quality learning experiences by using the three components of learning trajectories: math goals, developmental progressions, and linked teaching strategies. Third, they must foster responsive, interactive classroom cultures that spark curiosity, build confidence, and nurture a lasting love for mathematics. Drawing on research from education, psychology, and the learning sciences, the authors offer more than strategies—they present a holistic, connected approach to teaching. Their asset-based perspective highlights the richness of children’s knowledge and experiences. Rather than viewing learning as a rigid sequence of skills, they encourage teachers to build on all that children bring: prior knowledge, creativity, general cognitive abilities, language, family, and culture. This book equips teachers to notice and interpret children’s thinking, make instructional decisions with clarity, and create joyful, effective mathematics classrooms that honor and extend every child’s strength.