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 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 Workplace Technology


Book Description

Recent advances in technology have dramatically altered the manner in which organizations function, transforming the way people think about and perform their work. The implications of these trends continue to evolve as emerging innovations adapt to and are adapted by organizations, workers, and other components of the socio-technical systems in which they are embedded. A rigorous consideration of these implications is needed to understand, manage, and drive the reciprocal interplay between technology and the workplace. This edited volume brings together top scholars within and outside of the field of industrial and organizational (I-O) psychology to explore the psychological and organizational effects of contemporary workplace technologies. A special section is included at the end of the book by four experts in the field entitled Reflections and Future Directions.




Applied Psychology


Book Description

Applied Psychology demonstrates the power of applied psychology to promote human welfare and optimal human functioning as well as the vast career opportunities that exist for those with a psychology education. Some of the most eminent psychologists in the world today examine how psychological science is and can be used to prevent and ameliorate pressing human problems to promote positive social change. Part one provides an overview of the history and rise of applied psychology. The second part provides examples of how psychological science has been, and can be used, to prevent and ameliorate human problems. Part three presents examples of cutting-edge research in applied psychology, while exploring non-traditional career opportunities. The contributors provide evidence for the range of career opportunities, discuss skill and educational requirements, and explore the quality of work life in a wide range of areas within psychology. Advice on what it takes to prepare for a rewarding career in applied psychology is also provided. Intended as a supplement for courses in introductory or applied psychology, contemporary issues, professional development, social and organizational psychology, this book will also be a valued addition to campus career centers. Psychologists considering new career options will also appreciate this volume.




Frontiers of Test Validity Theory


Book Description

This book examines test validity in the behavioral, social, and educational sciences by exploring three fundamental problems: measurement, causation and meaning. Psychometric and philosophical perspectives receive attention along with unresolved issues. The authors explore how measurement is conceived from both the classical and modern perspectives. The importance of understanding the underlying concepts as well as the practical challenges of test construction and use receive emphasis throughout. The book summarizes the current state of the test validity theory field. Necessary background on test theory and statistics is presented as a conceptual overview where needed. Each chapter begins with an overview of key material reviewed in previous chapters, concludes with a list of suggested readings, and features boxes with examples that connect theory to practice. These examples reflect actual situations that occurred in psychology, education, and other disciplines in the US and around the globe, bringing theory to life. Critical thinking questions related to the boxed material engage and challenge readers. A few examples include: What is the difference between intelligence and IQ? Can people disagree on issues of value but agree on issues of test validity? Is it possible to ask the same question in two different languages? The first part of the book contrasts theories of measurement as applied to the validity of behavioral science measures.The next part considers causal theories of measurement in relation to alternatives such as behavior domain sampling, and then unpacks the causal approach in terms of alternative theories of causation.The final section explores the meaning and interpretation of test scores as it applies to test validity. Each set of chapters opens with a review of the key theories and literature and concludes with a review of related open questions in test validity theory. Researchers, practitioners and policy makers interested in test validity or developing tests appreciate the book's cutting edge review of test validity. The book also serves as a supplement in graduate or advanced undergraduate courses on test validity, psychometrics, testing or measurement taught in psychology, education, sociology, social work, political science, business, criminal justice and other fields. The book does not assume a background in measurement.