Frontiers of Mathematical Psychology


Book Description

The papers in this volume were prepared after a preliminary symposium held at The University of Michigan in honor of Clyde Coombs. Following the symposium, each paper was extensively revised and in many instances completely rewritten to provide a timely and provocative survey of current works in mathematical psychology in the style of Clyde Coombs. All of the authors were students or colleagues who were closely influenced by Coombs and our intention was not to cover all approaches to the field, but rather to illustrate the continuing influence of Coombs's work and approach to the application of mathematics to basic psychological phenomena. If we are successful, it is because of his influence on the contributors. v Acknowledgements The preparation of this volume in memory of Clyde Coombs owes much to the many friends, students, and colleagues of Clyde Coombs who generously provided their support and encouragement. Funding was provided by Dean John D'Arms of the Horace H.







Mathematical and Statistics Anxiety: Educational, Social, Developmental and Cognitive Perspectives


Book Description

Mathematical anxiety is a feeling of tension, apprehension or fear which arises when a person is faced with mathematical content. The negative consequences of mathematical anxiety are well-documented. Students with high levels of mathematical anxiety might underperform in important test situations, they tend to hold negative attitudes towards mathematics, and they are likely to opt out of elective mathematics courses, which also affects their career opportunities. Although at the university level many students do not continue to study mathematics, social science students are confronted with the fact that their disciplines involve learning about statistics - another potential source of anxiety for students who are uncomfortable with dealing with numerical content. Research on mathematical anxiety is a truly interdisciplinary field with contributions from educational, developmental, cognitive, social and neuroscience researchers. The current collection of papers demonstrates the diversity of the field, offering both new empirical contributions and reviews of existing studies. The contributors also outline future directions for this line of research.




Mathematical Frontiers Of The Social And Policy Sciences


Book Description

This book focuses both on the application of recent developments in mathematics to the formulation of nontrivial theory in the social sciences and on the expansion of the mathematical basis of decision theory to increase that theory's usefulness for policy research.




Theories of Mathematics Education


Book Description

Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.







An Introduction to Mathematical Cognition


Book Description

The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.




The Psychology of Learning Mathematics


Book Description

First Published in 1987. Routledge is an imprint of Taylor & Francis, an informa company.