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Learning and Teaching Early Math
In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.
Early Childhood Mathematics Education Research
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.
Learning and Teaching Early Math
In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how "learning trajectories" help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key in serving the needs of all children. In straightforward, no-nonsense language, this book summarizes what is known about how children learn mathematics, and how to build on what they know to realize more effective teaching practice. It will help teachers understand the learning trajectories of early mathematics and become quintessential professionals.
Early Childhood Mathematics Education Research
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.
Engaging Young Children in Mathematics
Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's mathematics; federal government officials; mathematicians; mathematics educators; researchers from mathematics education, early childhood education, and psychology; curriculum developers; teachers; policymakers; and professionals from organizations such as the National Confere...
Hypothetical Learning Trajectories
The purpose of this special issue is to present several research perspectives on learning trajectories with the intention of encouraging the broader community to reflect on, better define, adopt, adapt, or challenge the concept. The issue begins by briefly introducing learning trajectories. The remaining articles provide elaboration, examples, and discussion of the construct. They purposefully are intended to be illustrative, exploratory, and provocative with regard to learning trajectories construct; they are not a set of verification studies.
Implementing a Standards-Based Curriculum in the Early Childhood Classroom
Chapter 5: Individualized Language Interventions within a Collaborative School/Family Partnership -- Benefits of Early Intervention -- Research-Based Early Language Interventions -- Research to Practice -- Summary -- Conclusion -- References -- Chapter 6: Teachers' Pedagogical Content Knowledge in Early Math: Setting the Stage for Implementation of the Common Core State Standards in Mathematics -- A Model of Pedagogical Content Knowledge in Early Mathematics -- Early Childhood Teachers' PCK in Early Mathematics -- Developing Teachers' PCK in Early Math for CCSSM Implementation -- References -- Appendix -- Index.
Logo
In Logo: A Retrospective, you?ll look back and see why attempts to teach Logo in American schools failed the first time it was introduced, and you?ll learn what you can do so educators don?t make the same mistake again. You?ll explore how teachers can sidestep the all-too-familiar cycle of zealous overselling, eventual disappointment, backlash, and abandonment that undermined Logo?s first appearance in American school curricula. Of particular interest to teachers, parents, computer programmers, and members of the general public, Logo: A Retrospective, thoroughly and more accurately outlines Logo?s philosophical and theoretical framework and shows you how you can play a part in the current Lo...
Kindergarten Transition and Readiness
This book presents a comprehensive overview of children’s transitions to kindergarten as well as proven strategies that promote their readiness. It presents theories and research to help understand children’s development during the early childhood years. It describes evidence-based interventions that support children in developmental areas essential to school success, including cognitive, social-emotional, and self-regulatory skills. Chapters review prekindergarten readiness programs designed to promote continuity of learning in anticipation of the higher grades and discuss transitional concerns of special populations, such as non-native speakers, children with visual and other disabilit...
Learning Trajectories for Teachers
Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly...
