This volume focuses on two related questions that are central to both the psychology of mathematical thinking and learning and to the improvement of mathematics education: What is the nature of arithmetic expertise? How can instruction best promote it? Contributors from a variety of specialities, including cognitive, developmental, educational, and neurological psychology; mathematics education; and special education offer theoretical perspectives and much needed empirical evidence about these issues. As reported in this volume, both theory and research indicate that the nature of arithmetic expertise and how to best promote it are far more complex than conventional wisdom and many scholars, past and present, have suggested. The results of psychological, educational, and clinical studies using a wide range of arithmetic tasks and populations (including qnormallyq and atypically developing children, non-injured and brain-injured adults, and savants) all point to the same conclusion: The heart of arithmetic fluency, in general, and the flexible and creative use of strategies, in particular, is what is termed qadaptive expertiseq (meaningful or conceptually based knowledge). The construction of adaptive expertise in mathematics is, for the first time, examined across various arithmetic topics and age groups. This book will be an invaluable resource for researchers and graduate students interested in mathematical cognition and learning (including mathematics educators, developmental and educational psychologists, and neuropsychologists), educators (including teachers, curriculum supervisors, and school administrators), and others interested in improving arithmetic instruction (including officials in national and local education departments, the media, and parents).Unlike the problem-solving approach, childrenAls active construction of understanding is mediated, guided, and prompted by the teacherAbmost often ... orplot that involves a fractional length and width, or determining the theoretical probability of two independent events inaneffort to solve a problem). ... 10, this volume;see, e.g., Baroody, with Coslick, 1998, for similar examples witha variety of content). In briefanbsp;...
|Title||:||The Development of Arithmetic Concepts and Skills|
|Author||:||Arthur J. Baroody, Ann Dowker|
|Publisher||:||Routledge - 2013-06-17|