Julie Sarama

This definitive fourth edition synthesizes the research and wisdom of expert teachers on how young children learn mathematics on how effective teachers support their development with learning trajectories. The learning trajectories approach builds on what children know and can do, using activities tailored to develop the next level of thinking. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories make teaching more joyful. Through helping teachers understand the varying levels of children’s thinking and learning, this approach allows teachers to better meet the learning needs of all children. This thoroughly revised edition builds on the comprehensive research base of past volumes while drawing on numerous new research studies, expanded international examples, and updated illustrations. Chapters are also more closely linked with Learning and Teaching with Learning Trajectories–[LT]²–an open-access, web-based tool that includes videos, interactive games, and practical classroom resources to help early childhood educators understand how children think and learn about mathematics. Ideal as a curriculum planning resource for mathematics administrators, leaders, a professional development resource for early math teachers, and as a resource for math methods courses, this book brings the authors' nationally recognized learning trajectories approach directly into your classroom.

This definitive fourth edition synthesizes the research and wisdom of expert teachers on how young children learn mathematics on how effective teachers support their development with learning trajectories. The learning trajectories approach builds on what children know and can do, using activities tailored to develop the next level of thinking. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories make teaching more joyful. Through helping teachers understand the varying levels of children’s thinking and learning, this approach allows teachers to better meet the learning needs of all children. This thoroughly revised edition builds on the comprehensive research base of past volumes while drawing on numerous new research studies, expanded international examples, and updated illustrations. Chapters are also more closely linked with Learning and Teaching with Learning Trajectories–[LT]²–an open-access, web-based tool that includes videos, interactive games, and practical classroom resources to help early childhood educators understand how children think and learn about mathematics. Ideal as a curriculum planning resource for mathematics administrators, leaders, a professional development resource for early math teachers, and as a resource for math methods courses, this book brings the authors' nationally recognized learning trajectories approach directly into your classroom.

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third 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 confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]²–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third 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 confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]²–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning.

NEW SALE PRICE Nueva - Traducci n Espa ol del Libro, "Learning and Teaching Early Math: The Learning Trajectories Approach" Educadores e investigadores de habla hispana interesados en el aprendizaje, la ense anza y el desarrollo de las matem ticas tempranas pueden ahora acceder a este importante libro en espa ol. Los expertos en matem ticas tempranas Douglas Clements y Julie Sarama muestran c mo las "trayectorias de aprendizaje" ayudan a identificar el nivel de comprensi n del ni o de las matem ticas y c mo desarrollar actividades did cticas alineadas con estos niveles. Perfecto tanto para estudiantes que cursan la pr ctica docente como para profesores, las trayectorias de aprendizaje ayudan a los educadores a conocer las fortalezas de sus estudiantes y a capitalizar el gusto y la curiosidad de los ni os peque os para aprender y crecer como pensadores matem ticos y como practicantes de las matem ticas. Ahora los educadores y los investigadores de habla hispana al rededor del mundo pueden entablar una conversaci n en profundidad con el pensamiento contempor neo y las mejores pr cticas disponibles hoy en d a para la ense anza de las matem ticas. New Spanish translation of "Learning and Teaching Early Math: The Learning Trajectories Approach" Spanish-speaking educators and researchers interested in early learning, teaching, and development in early mathematics can now access this important book in Spanish. Early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help identify a child's level of mathematical understanding and how to design teaching activities aligned with those levels. Perfect for pre-service and in-service educators alike, learning trajectories assist teachers in knowing their students' strengths and capitalizing on young children's delight and curiosity to learn and grow as mathematical thinkers and doers. Now Spanish-speaking educators and researchers across the globe can engage deeply with the current thinking and best practice in early mathematics education available today.

This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

This important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.

12 sets of beautifully illustrated cards provide experiences in sequencing stories, routines, and events.