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, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying levels of knowledge exhibited by individual students, which in turn allows them to better meet the learning needs of all children. Using straightforward, no-nonsense language, this book summarizes the current research about how children learn mathematics, and how to build on what children already know to realize more effective teaching. This second edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become quintessential professionals. Updates to the new edition include: • Explicit connections between Learning Trajectories and the new Common Core State Standards. • New coverage of patterns and patterning. • Incorporation of hundreds of recent research studies.
Seven ducklings take a rhyming look at addition as they play games, chase bumblebees, and make noise.
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This...
(Ferguson et al., 1998). The system then evaluates specific axes sequentially in a detailed comparison (Palmer & Hemenway, 1978), whichhasasignificant influenceon shape recognition (Palmer, 1989). Children often use andreferto ...
In this book, readers will explore and understand the Big Ideas that underlie early math content and learn how to make these foundational ideas clear to young children.
Each chapter provides in-depth discussions, with this volume serving as an invaluable resource for developmental or educational psychology researchers, scholars and students.
The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.
Math lessons based on popular books that connect to the standards and build skills in problem solving and critical thinking.
Journal for Research in Mathematics Education, 35(2), 81–116. Humphreys, C., & Parker, R. (2015). Making number talks matter: Developing mathematical practices and deepening understanding, Grades 4–10. Portland, ME: Stenhouse.
Whether you are a teacher looking for ways to strengthen the math learning in your early childhood classroom, an educator in a community of practice who wants to learn more about teaching math in developmentally appropriate ways, or a ...
This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts ...