Responding to their recent research on how children learn mathematics, the authors have revised this bestselling textbook to provide practical advice on what works and what should be avoided when teaching second graders. Features important revisions to their groundbreaking program, including the harmful effects of teaching "carrying' and "borrowing".
In this fully revised second edition of the classic Young Children Reinvent Arithmetic, Constance Kamii describes and develops an innovative program of teaching arithmetic in the early elementary grades. Kamii bases her educational strategies on renowned constructivist Jean Piaget's scientific ideas of how children develop logico-mathematical thinking. Written in collaboration with a classroom teacher, and premised upon the conviction that children are capable of much more than teachers and parents generally realize, the book provides a rich theoretical foundation and a compelling explanation of educational goals and objectives. Kamii calls attention to the ways in which traditional textbook-based teaching can be harmful to children’s development of numerical reasoning, and uses extensive research and classroom-tested studies to illuminate the efficacy of the approach. This book is full of practical suggestions and developmentally appropriate activities that can be used to stimulate numerical thinking among students of varying abilities and learning styles, both within and outside of the classroom. “In this new edition of her important book, Connie Kamii demonstrates scholarship not just in what she has written, but in her willingness to incorporate new ideas and findings. Many people update their books; few assiduously revise them, confronting what they believe to be past errors or gaps in their thinking. Such intellectual honesty, along with consistent connections between theory and practice, make this book a solid contribution to mathematics education of young children.” —Douglas Clements, State University of New York at Buffalo “The development of young children’s logico-mathematical knowledge is at the heart of this text. Similar to the first edition, this revision provides a rich theoretical foundation as well as child-centered activities and principles of teaching that support problem solving, communicating, reasoning, making connections, and representing mathematical ideas. In this great resource for preservice and in-service elementary teachers, Professor Kamii continues to help us understand the implications of Piagetian theory.” —Frances R. Curcio, New York University
Although recent research on children's numerical thinking has much to say to teachers, little attempt has been made to communicate it directly to them. This book attempts to build a bridge between theory, research, and classroom practice with the aim of supporting informed change in the schools. The ultimate goal is to promote children's numerical thinking and to ensure their survival in a rapidly changing world.
This accessible, up-to-date account of the chronic issues plaguing child care reform offers viable solutions drawn from a model state child care system in the state of North Carolina. Original data illustrates the complex landscape of U.S. child care, as well as the ambiguous relationship society has with the statistic that 64% of women with children under six are employed and in need of reliable, high-quality care of their young children.
For today's early childhood educator, change is a non-negotiable reality. While the size, force, and direction of change can often seem overwhelming, this book shows the way toward overcoming these gigantic odds or "Goliaths." The New Early Childhood Professional recounts some of the heroic stories and strategic approaches used by early childhood educators who particpated in the CAYL Institute Fellowship programs. The authors share a specific framework with concrete steps to help educators become positive change makers in the field of early care and education. Complete with resources, tools, and questions for reflection, this handbook takes readers through four progressive paths toward becoming an architect of change: Analysis, when confronting seemingly insurmountable situations, instead of being overwhelmed, think and reflect about the situation and discover hidden insights; Advance, better understand the nature of problems while also strengthening your vision and identity through planning and preparation; Act, begin with everyday challenges and use what you know from every situation, in every interaction with a child, parent, peer, or administrator; and Accelerate, focus on what you want to change, gather allies, document, and communicate.
Todays kindergarten teachers face enormous challenges to reach district-mandated academic standards. This book presents a model for 21st-century kindergartens that is rooted in child-centered learning and also shaped by the needs and goals of the present day. Classroom teachers working with diverse populations of students and focusing on issues of social justice provide vivid descriptions of classroom life across urban and rural communities. Teacher reflections and commentary from the editors link teacher decisions to principles of good practice. Teaching Kindergarten illustrates how a progressive, learning-centered approach can not only meet the equity and accountability goals of the Common Core State Standards but go well beyond that to educate the whole child.
One of the many challenges facing early childhood teachers is how to meet academic standards while creating learning environments that honor young children’s mathematical curiosity. In Early Childhood Math Routines Empowering Young Minds to Think, author Toni Cameron introduces us to a set of short whole-group and partner routines designed to engage young children in meaningful math thinking and build problem-solving communities. With contributions from Patricia Gallahue and Danielle Iacoviello, Cameron reimagines traditional math routines and introduces brand new routines that focus on the important mathematical ideas of early childhood. Through stories, classroom examples, and resources, Cameron offers you the tools to get started right away with these routines. Inside you'll find the following resources: Innovative routines of student-teacher dialogue and teaching analysis to support you in planning and facilitating; Clear explanations of the big mathematical ideas in early childhood math; Access to a robust companion website which includes; downloadable and printable cards/gameboards, over 30 slide decks for facilitating routines, additional practice routines, supplemental readings, and a place value interview assessment; A day-by-day suggested planning guide to introducing and developing each routine in your classroom; Learn from Cameron's experience supporting the complexities of early childhood mathematics while also building communities that foster social, emotional, and cognitive development in young children. Get the tools and routines that will help you connect children to mathematics in a way that is exciting and powerful.
This fourth edition has been expanded to guide today s teachers through the process of conducting meaningful investigations with young children. It begins with a new chapter which summarises insights from mind-brain education research, showing how experiences firmly rooted in children s curiosity and interest build intellectual capacity.
This volume is a collection of all papers published in Volume One of the journal "Mathematical Cognition". The aim of the journal is to provide a forum for explorations of how we understand mathematics and how we acquire and use mathematical concepts. The journal encourages an interdisciplinary approach to the field, and publishes advances in the study of the mental representation and use of mathematical concepts from a range of disciplines.; This first volume features contributions from cognitive psychology, developmental psychology, philosophy, neuroscience, education, computational modelling, and neuropsychology.
