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This book presents teachers with a sound theoretical framework for encouraging children to explore mathematical concepts and become numerate in the 21st century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing, engage in a rich variety of multimodal learning experiences, pursue self-directed activities and cooperate with others, and make connections between ideas and experiences in their everyday worlds. - Back cover
"Much of the content in this book is adapted from Teaching Young Children (TYC), NAEYC's award-winning magazine ..."--Page [104]
Reviewers’ comments on the first edition: “Jane Johnston communicates a sense of effervescent enthusiasm for teaching and science, and her treatment is comprehensive.” TES “The ideas and recommendations, based on considerable classroom experience, make this book a valuable aid to students and reflective early years practitioners.” Primary Science Review “At last! A serious attempt to explore the scientific potential of infant and pre-school children… The author explains how scientific skills can be developed at an early stage, stimulating the natural inquisitive streak in children. This book…will start you thinking about science in a much more positive light.” Child Education This accessible and practical book supports good scientific practice in the early years. It helps practitioners to be creative providers, and shows them how to develop awe and wonder of the world in the children they teach. The book highlights the importance of a motivating learning environment and skilled interaction with well-trained adults. In addition, fundamental issues are explored such as the range, nature and philosophical underpinning of early years experiences and the development of emergent scientific skills, understandings and attitudes. New features for this edition include: An extended age range encompassing early learning from 0 – 8 Updated material for the Foundation Stage Curriculum for 3 – 5-year-olds and the National Curriculum 2000 for 5 – 8-year-olds A new chapter focusing on conceptual understanding and thinking skills in the early years An emphasis on the importance of informal learning and play in early development The book introduces and discusses new research and thinking in early years and science education throughout, making it relevant for current practice. This is an indispensable resource for all trainee and practising primary school teachers and early years practitioners.
Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!
Gain confidence in your ability to incorporate math into all aspects of your early learning program.
Use the powerful strategies of play and storytelling to help young children develop their "math brains." This easy-to-use resource includes fun activities, routines, and games inspired by children's books that challenge children to recognize and think more logically about the math all around them.
Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.
The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...