This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--Attribute, Comparison, Change, and Pattern--with an emphasis on how development occurs when it is nurtured by loving knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as "a logical way of thinking that allows for increasing precision." Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children's interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool. Book Features: Combines the most current research on infant and toddler cognitive development in relation to mathematical thinking. Offers concrete ways to help caregivers and professionals draw out the math that is all around us. Blends three domains of human development--social-emotional, physical, and cognitive. Examines the What, Who, and How of each precursor concept, with authentic anecdotes and "What the Research Says" sections.
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This...
With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful ...
In Math Art and Drawing Games for Kids, you’ll find an amazing collection of more than 40 hands-on art activities that make learning about math fun!
Suitable for both graduate and undergraduate courses, this text recalls basic concepts of calculus and shows how problems can be formulated in terms of differential equations.
Aren't there supposed to be three roots to any cubic, counting multiple roots? Find the other two complex roots of Cardano's equation. (Hint: Factor out a linear term using the root you found in Exercise 2.14.
In so doing, this highly useful book creates a conversation, in which researchers and teachers each bring their expertise to bear; their communication about these topics—informed by the thinking, commitment, and experience of both ...
Paths Toward Excellence and Equity National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Committee on Early Childhood Mathematics Heidi Schweingruber, Taniesha A. Woods, ...
Because the knowledge of important mathematical relationships, number sense, and the ability to solve problems are three key ingredients to the successful acquisition of math in the early years, this book pays special attention to helping ...
It's expedient for the added contour to give a zero contribution, so we refer to Jordan's lemma to arrange for this to happen. Jordan's lemma requires the integrand to have a complex exponential, which we can arrange by splitting ...
ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly.