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With a focus on children's mathematical thinking, this second edition adds new material on the mathematical principles underlying children's strategies, a new online video that illustrates student teacher interaction, and examines the relationship between CGI and the Common Core State Standards for Mathematics.
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.
Tackle the tricky issue of bridging the communication gap between teachers, students, and their parents. This unique resource explore the various channels--newsletters, back-to-school-night presentations, homework, and more--through which teachers can communicate with parents about their children’s math education.
Section 1 describes how math concepts are developed, acquired, promoted and assessed. Section 2 describes fundamental concepts of counting, number sets, shape, space, parts and whole. Section 3 includes applications; measuring volume, weight, length, temperature, graphs and time. It also includes thematic units. Section 4 describes higher level activities; symbols and sets. Section 5 includes concepts & operation for primary grades; patterns, fractions, geometry, graphs, charts and standard units of measure.
Family and community in and out of the classroom introduce the reader to the field of family engagement in mathematics teaching and learning processes. Scientific evidence collected by the European Union throughout many different studies in a number of research programs, highlights researchers' increasing interest for the role that families play in the process of learning. There is a set of evidence demonstrating the positive impact of family engagement and students' performance. In this book we collect the main findings achieved in the frame of FAMA - Family Math for Adult Learners. Drawing on these results, it seems clear that activities conducted in and out of the classroom have a strong impact on students' scores in mathematics. Throughout this book, the reader will find what are the main trends in mathematics family education in Europe and other World regions, as well as what are the more successful actions in this field.
