Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts


Book Description

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children's developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. - Covers innovative measures and recent methodological advances in mathematical thinking and learning - Contains contributions that improve instruction and education in these domains - Informs policy aimed at increasing the level of mathematical proficiency in the general public







Mathematics Education


Book Description

First Published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.




Helping Children Learn Mathematics


Book Description

Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.




Mathematics Learning in Early Childhood


Book Description

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. Relying 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.




Three Dimensions


Book Description

In Dutch "WISKOBAS" stands for a particular kind of mathematics in the elementary school (ages 6-12). In tum Wiskobas was one of the depart ments in the IOWO, the Institute for the Development of Mathematics Education. This institute was concerned with the development of material for mathematics education as well as the related research on the possibility of change from the then existing arithmetic instruction to the future mathematics education. The present publication Three Dimensions has three aims: to give a picture of the goals Wiskobas set for future mathematics education, at the same time to show how such goals can be described, and to show the theoretical framework of the Wiskobas curriculum. The problem at hand is not at all simple. What is more, Wiskobas' ideas about mathematics education cannot literally be translated into strings of words. So how can we face the accusation that our objectives are unattain able and the goal itself irrational? In order to avoid this vagueness as much as possible and for the sake of clarity, this book makes continuous use of illustrations of mathematics education. In these examples both the subject-matter and the methods of description of the goals are illustrated as explicitly as possible, while at the same time creating the opportunity to read between the lines. The reader is urged to follow carefully the mathe matical material at the start of each chapter. This advice applies both to the more general education oriented, and to the more mathematical! didactical reader.




Teaching and Learning Mathematical Problem Solving


Book Description

A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.




Knowledge and Practice


Book Description

Longstanding cultural heritages about the nature of knowledge continue to dominate Western education. Yet the ways of knowing represented through teaching and workplace practices, including assessment, and their relationship to views of learning, are often ignored in debates about learning. This book provides a rich collection of readings that challenge traditional understandings of knowledge and the view of mind that underpins them. It offers socioculturally informed alternatives and tools for innovating change and transforming practice that value different ways of knowing, embracing those that learners bring to educational and workplace settings. The book takes forward thinking about curriculum in a number of unique and important ways. It adopts a relational view of learning and knowledge, covers educational and workplace learning, and examines knowledge from a sociocultural perspective where learner identities are conceived as forms of competency or knoweldge. It presents challenging ways of thinking about knowledge and learning and considers how to enact these in practice. Drawing from the international literature, this book will be essential reading for students of curriculum, learning and assessment in all sectors from primary to further and higher education. It is suitable as a core text for masters and taught doctorate programmes. It will also be of interest to a wide range of professionals involved with the processes of curriculum, learning and the practice of teaching and assessment. It will be relevant to those in work-based and professional education and training and informal educationsl settings, as well as traditional educational institutions at all levels. A unique collection in a field that is underrepresented, it will also be of interest to an academic audience.




Complex Information Processing


Book Description

Here, several leading experts in the area of cognitive science summarize their current research programs, tracing Herbert A. Simon's influence on their own work -- and on the field of information processing at large. Topics covered include problem- solving, imagery, reading, writing, memory, expertise, instruction, and learning. Collectively, the chapters reveal a high degree of coherence across the various specialized disciplines within cognition -- a coherence largely attributable to the initial unity in Simon's seminal and pioneering contributions.




Conceptual and Procedural Knowledge


Book Description

First Published in 1986. This book is intended for those people who are interested in how mathematics is learned. It is intended especially for those who are interested in the mental processes involved in becoming mathematically competent and the mental processes that inhibit such competency from developing. The volume opens with an overview of the issue and then traces the relationships between conceptual and procedural knowledge in mathematics from preschool days through the years of formal schooling. Mathematics educators and cognitive psychologists from a variety of perspectives contribute theoretical arguments and empirical data to illuminate the nature of the relationships and, in tum, the nature of mathematics learning.