@BOOK{NAP author = "National Research Council", editor = "Jeremy Kilpatrick and Jane Swafford and Bradford Findell", title = "Adding It Up: Helping Children Learn Mathematics", isbn = "978-0-309-21895-5", abstract = "Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. \nThe committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning:\n\n Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction.\n Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics.\n\nThe committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.", url = "https://nap.nationalacademies.org/catalog/9822/adding-it-up-helping-children-learn-mathematics", year = 2001, publisher = "The National Academies Press", address = "Washington, DC" } @BOOK{NAP author = "National Research Council", editor = "Christopher T. Cross and Taniesha A. Woods and Heidi Schweingruber", title = "Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity", isbn = "978-0-309-12806-3", abstract = "Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success.\nRelying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.\n ", url = "https://nap.nationalacademies.org/catalog/12519/mathematics-learning-in-early-childhood-paths-toward-excellence-and-equity", year = 2009, publisher = "The National Academies Press", address = "Washington, DC" }