Growing Mathematical Minds is the documentation of an innovative, bi-directional process of connecting research and practice in early childhood mathematics. The book translates research on early mathematics from developmental psychology into terms that are meaningful to teachers and readily applicable in early childhood classrooms. It documents teacher responses, and conveys their thoughts and questions back to representative researchers, who reply in turn. 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 groups—helps us better understand how developmental psychology can improve math teaching, and how math teaching can, in turn, inform developmental science. The book bridges the gap between research and practice, helping teachers to adopt evidence-based practices and apply cutting-edge research findings, and prompting developmental researchers to consider their work within the framework of practice. Growing Mathematical Minds identifies and elucidates research with profound implications for teaching children from three to eight years so they develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.

Early Mathematics Teaching and Learning translates the findings of developmental psychology research on early mathematics into terms that are meaningful to teachers and readily applicable in early childhood classrooms. In so doing, this highly useful book bridges the gap between research and practice, making it possible for teachers to adopt evidence-based practices and improve teaching by applying cutting-edge research findings. Early Mathematics Teaching and Learning provides experiences designed to help children from three to eight years develop foundational math knowledge and skills, positive attitudes toward math, and basic abilities to think mathematically.

Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.

Grade level: k, t.

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. TheHandbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

This book breaks through in the field of mathematical creativity and giftedness. It suggests directions for closing the gap between research in the field of mathematics education and research in the field of creativity and giftedness. It also outlines a research agenda for further research and development in the field.

Robert S. Siegler Robbie Case: A Modern Classic About 15 years ago, Robbie asked me what I thought of a talk we had just heard. I indicated that I hadn’t much liked it and noted several serious problems. Robbie agreed with all of the criticisms, but said that he nonetheless liked the talk, because there was one good idea in it that he could use. I agreed with him that the idea was a good one, but it took me a while to understand the wisdom of his position. If there’s one useful idea in a talk, then hearing it has been worthwhile, even if the talk also has numerous de?ciencies. On that day and on many others, talking with Robbie changed my thinking for the better. Robbie Case was in many ways a classic developmental psychologist of the old school. The depth and breadth of his theory; the range of age groups, populations, and topics that he studied; and his efforts to connect theory and application are all reminiscent of the greats of the past: Baldwin, Dewey, Piaget, Vygotsky, and Bruner.

This international selection of 34 papers from the Tokyo '99 conference held at the United Nations University gives a valuable state of the art overview of consciousness research. Not only the recognized European and American approaches but also the distinguishing approaches from many Japanese researchers are presented. It will provide a world-wide audience with a comprehensive outlook for the remarkable potential contribution in the future scene of consciousness research.The Tokyo '99 declaration to promote scientists' ethical warning against the thoughtless aiming of consciousness research at warfare is also included.(Series B)

Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover