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Mathematical Psychology
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Book Synopsis The Oxford Handbook of Computational and Mathematical Psychology by : Jerome R. Busemeyer
Download or read book The Oxford Handbook of Computational and Mathematical Psychology written by Jerome R. Busemeyer and published by . This book was released on 2015 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Oxford Handbook offers a comprehensive and authoritative review of important developments in computational and mathematical psychology. With chapters written by leading scientists across a variety of subdisciplines, it examines the field's influence on related research areas such as cognitive psychology, developmental psychology, clinical psychology, and neuroscience. The Handbook emphasizes examples and applications of the latest research, and will appeal to readers possessing various levels of modeling experience. The Oxford Handbook of Computational and mathematical Psychology covers the key developments in elementary cognitive mechanisms (signal detection, information processing, reinforcement learning), basic cognitive skills (perceptual judgment, categorization, episodic memory), higher-level cognition (Bayesian cognition, decision making, semantic memory, shape perception), modeling tools (Bayesian estimation and other new model comparison methods), and emerging new directions in computation and mathematical psychology (neurocognitive modeling, applications to clinical psychology, quantum cognition). The Handbook would make an ideal graduate-level textbook for courses in computational and mathematical psychology. Readers ranging from advanced undergraduates to experienced faculty members and researchers in virtually any area of psychology--including cognitive science and related social and behavioral sciences such as consumer behavior and communication--will find the text useful.
Book Synopsis Mathematical Psychology and Psychophysiology by : Stephen Grossberg
Download or read book Mathematical Psychology and Psychophysiology written by Stephen Grossberg and published by Psychology Press. This book was released on 2014-05-22 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Psychology and Psychophysiology promotes an understanding of the mind and its neural substrates by applying interdisciplinary approaches to issues concerning behavior and the brain. The contributions present model from many disciplines that share common, conceptual, functional, or mechanistic substrates and summarize recent models and data from neural networks, mathematical genetics, psychoacoustics, olfactory coding, visual perception, measurement, psychophysics, cognitive development, and other areas. The contributors to Mathematical Psychology and Psychophysiology show the conceptual and mathematical interconnectedness of several approaches to the fundamental scientific problem of understanding mind and brain. The book's interdisciplinary approach permits a deeper understanding of theoretical advances as it formally structures a broad overview of the data.
Book Synopsis The Psychology of Mathematics by : Anderson Norton
Download or read book The Psychology of Mathematics written by Anderson Norton and published by Routledge. This book was released on 2022-03-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an innovative introduction to the psychological basis of mathematics and the nature of mathematical thinking and learning, using an approach that empowers students by fostering their own construction of mathematical structures. Through accessible and engaging writing, award-winning mathematician and educator Anderson Norton reframes mathematics as something that exists first in the minds of students, rather than something that exists first in a textbook. By exploring the psychological basis for mathematics at every level—including geometry, algebra, calculus, complex analysis, and more—Norton unlocks students’ personal power to construct mathematical objects based on their own mental activity and illustrates the power of mathematics in organizing the world as we know it. Including reflections and activities designed to inspire awareness of the mental actions and processes coordinated in practicing mathematics, the book is geared toward current and future secondary and elementary mathematics teachers who will empower the next generation of mathematicians and STEM majors. Those interested in the history and philosophy that underpins mathematics will also benefit from this book, as well as those informed and curious minds attentive to the human experience more generally.
Book Synopsis Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by : Alfred S Posamentier
Download or read book Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking written by Alfred S Posamentier and published by World Scientific. This book was released on 2019-08-21 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.
Download or read book Mathematical Difficulties written by and published by Elsevier. This book was released on 2008-07-25 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the mathematical difficulties in typical and atypical populations. It discusses the behavioural, educational and neuropsychological characteristics of people with mathematical difficulties, and educational interventions to prevent, diagnose, treat or ameliorate such difficulties. The book brings together studies from different disciplines, including developmental psychology, neuroscience and education, and includes perspectives from practicing teachers.The book is divided into three major sections. The first includes chapters about the nature and characteristics of mathematical difficulties in the population as a whole, in relation to both psychology and education. The second deals with mathematical difficulties in children with other problems such as specific language impairment and dyslexia. The third discusses methods of interventions aimed at preventing, treating or ameliorating mathematical difficulties, and will include discussions of assessment and diagnosis.
Book Synopsis The Development of Mathematical Skills by : Chris Donlan
Download or read book The Development of Mathematical Skills written by Chris Donlan and published by Psychology Press. This book was released on 2022-02-16 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting edge research from a diverse range of viewpoints Central section dedicated to the arithmetical development of memory.
Book Synopsis An Essay on the Psychology of Invention in the Mathematical Field by : Jacques Hadamard
Download or read book An Essay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Read Books Ltd. This book was released on 2011-10-25 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis The Mathematician's Mind by : Jacques Hadamard
Download or read book The Mathematician's Mind written by Jacques Hadamard and published by Princeton University Press. This book was released on 2020-05-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness. His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.
Book Synopsis Systems Factorial Technology by : Daniel Little
Download or read book Systems Factorial Technology written by Daniel Little and published by Academic Press. This book was released on 2017-04-10 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems Factorial Technology: A Theory Driven Methodology for the Identification of Perceptual and Cognitive Mechanisms explores the theoretical and methodological tools used to investigate fundamental questions central to basic psychological and perceptual processes. Such processes include detection, identification, classification, recognition, and decision-making. This book collects the tools that allow researchers to deal with the pervasive model mimicry problems which exist in standard experimental and theoretical paradigms and includes novel applications to not only basic psychological questions, but also clinical diagnosis and links to neuroscience. Researchers can use this book to begin using the methodology behind SFT and to get an overview of current uses and future directions. The collected developments and applications of SFT allow us to peer inside the human mind and provide strong constraints on psychological theory. - Provides a thorough introduction to the diagnostic tools offered by SFT - Includes a tutorial on applying the method to reaction time data from a variety of different situations - Introduces novel advances for testing the significance of SFT results - Incorporates new measures that allow for the relaxation of the high accuracy criterion - Examines tools to expand the scope of SFT analyses - Applies SFT to a spectrum of different cognitive domains across different sensory modalities
Book Synopsis Mathematical Psychology by : Jean-Paul Doignon
Download or read book Mathematical Psychology written by Jean-Paul Doignon and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sometime in the late sixties, one of the editors of this volume realized that the mathematica psychologists in Europe-an odd lot mostly concentrated in Germany, the Netherlands, France, England and Belgium-were suffering from an acute sense of isolation. The papers that they presented at meetings of their national or regional societies had to be 'sanitized' to the point of misrepresentation. They were misunderstood. The mood was grim, depression was lurking. He decided that urgent action was required: a European gathering of mathematical psychologists was called in April 1971. Not being foolhardy, however, he took the precaution of choosing Paris as the meeting place. Around thirty mathematical psychologists received an invitation. They all came, justifying at least Paris's reputation. The meeting took place at the 'Maison des Belges' of the Cite Universitaire, Boulevard Jourdan, in front of the Parc Montsouris. As far as everyone remembers, the meeting was a full success. A happy birth had taken place. This editor then irresponsibly accepted a position in a university in the US, leaving an infant to the whims of the passers-by. Fortunately, a godfather came along. The next meeting took place in Nijmegen, in November 1971, under the loving care of Eddy Roskam. A tradition was established. The third meeting was in Oxford (1972); then in Marseilles (1973), Regensburg (1974), Stirling (1975), Stockholm (1976) . . . The infant became a toddler, then a vigorous child. This annual meeting is now an important event in the field.
Book Synopsis The Psychology of Learning Mathematics by : Richard R. Skemp
Download or read book The Psychology of Learning Mathematics written by Richard R. Skemp and published by Routledge. This book was released on 2012-08-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text presents problems of learning and teaching mathematics from both a psychological and mathematical perspective. The Psychology of Learning Mathematics, already translated into six languages (including Chinese and Japanese), has been revised for this American Edition to include the author's most recent findings on the formation of mathematical concepts, different kinds of imagery, interpersonal and emotional factors, and a new model of intelligence. The author contends that progress in the areas of learning and teaching mathematics can only be made when such factors as the abstract and hierarchical nature of mathematics, the relation to mathematical symbolism and the distinction between intelligent learning and rote memorization are taken into account and instituted in the classroom.
Book Synopsis New Handbook of Mathematical Psychology: Volume 2, Modeling and Measurement by : William H. Batchelder
Download or read book New Handbook of Mathematical Psychology: Volume 2, Modeling and Measurement written by William H. Batchelder and published by Cambridge University Press. This book was released on 2018-09-27 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of mathematical psychology began in the 1950s and includes both psychological theorizing, in which mathematics plays a key role, and applied mathematics motivated by substantive problems in psychology. Central to its success was the publication of the first Handbook of Mathematical Psychology in the 1960s. The psychological sciences have since expanded to include new areas of research, and significant advances have been made in both traditional psychological domains and in the applications of the computational sciences to psychology. Upholding the rigor of the original Handbook, the New Handbook of Mathematical Psychology reflects the current state of the field by exploring the mathematical and computational foundations of new developments over the last half-century. The second volume focuses on areas of mathematics that are used in constructing models of cognitive phenomena and decision making, and on the role of measurement in psychology.
Book Synopsis Mathematical Psychology by : Norbert Schwarzer
Download or read book Mathematical Psychology written by Norbert Schwarzer and published by CRC Press. This book was released on 2024-11-28 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A drawback of standard approaches to try and understand the world of feelings such as love, hate, fear, and anger plus consciousness via quantum concepts results from the old problem that Quantum Theory does not appear to be fully compatible with Einstein’s General Theory of Relativity. To overcome these difficulties, we explicitly tried to avoid "pushing" any existing theory into the comprehension of the human mind and all its derivatives. On the assumption that everything, including consciousness, may consist of attributes or properties and subjecting them to a general Hamilton extremal principle, we surprisingly ended up in generalized Einstein field equations with the whole ensemble having the characteristics of a Quantum Gravity Theory. The field of psychology has lacked a unified theory to support phenomenological observations until now, and it took a mathematical physicist to find it. With example concepts of group-think and quantum-gravity–based human thought processes given among many more, it provides a basis for understanding and mitigating and potentially even preventing socioeconomic debt cycles and war... ...and it shows why love can become the black hole in a universe of feelings.
Book Synopsis Psychology of Mathematics for Instruction by : L. B. Resnick
Download or read book Psychology of Mathematics for Instruction written by L. B. Resnick and published by Routledge. This book was released on 2012-11-12 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1981, Psychology of Mathematics for Instruction is a valuable contribution to the field of Education.
Book Synopsis Naturalizing Logico-Mathematical Knowledge by : Sorin Bangu
Download or read book Naturalizing Logico-Mathematical Knowledge written by Sorin Bangu and published by Routledge. This book was released on 2018-02-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a part of the larger contemporary philosophical project of naturalizing logico-mathematical knowledge, and addresses the key question that motivates most of the work in this field: What is philosophically relevant about the nature of logico-mathematical knowledge in recent research in psychology and cognitive science? The question about this distinctive kind of knowledge is rooted in Plato’s dialogues, and virtually all major philosophers have expressed interest in it. The essays in this collection tackle this important philosophical query from the perspective of the modern sciences of cognition, namely cognitive psychology and neuroscience. Naturalizing Logico-Mathematical Knowledge contributes to consolidating a new, emerging direction in the philosophy of mathematics, which, while keeping the traditional concerns of this sub-discipline in sight, aims to engage with them in a scientifically-informed manner. A subsequent aim is to signal the philosophers’ willingness to enter into a fruitful dialogue with the community of cognitive scientists and psychologists by examining their methods and interpretive strategies.
Book Synopsis Understanding Emotions in Mathematical Thinking and Learning by : Ulises Xolocotzin
Download or read book Understanding Emotions in Mathematical Thinking and Learning written by Ulises Xolocotzin and published by Academic Press. This book was released on 2017-05-12 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emotions play a critical role in mathematical cognition and learning. Understanding Emotions in Mathematical Thinking and Learning offers a multidisciplinary approach to the role of emotions in numerical cognition, mathematics education, learning sciences, and affective sciences. It addresses ways in which emotions relate to cognitive processes involved in learning and doing mathematics, including processing of numerical and physical magnitudes (e.g. time and space), performance in arithmetic and algebra, problem solving and reasoning attitudes, learning technologies, and mathematics achievement. Additionally, it covers social and affective issues such as identity and attitudes toward mathematics. - Covers methodologies in studying emotion in mathematical knowledge - Reflects the diverse and innovative nature of the methodological approaches and theoretical frameworks proposed by current investigations of emotions and mathematical cognition - Includes perspectives from cognitive experimental psychology, neuroscience, and from sociocultural, semiotic, and discursive approaches - Explores the role of anxiety in mathematical learning - Synthesizes unifies the work of multiple sub-disciplines in one place
Book Synopsis Mathematical Psychology by : Clyde Hamilton Coombs
Download or read book Mathematical Psychology written by Clyde Hamilton Coombs and published by Prentice Hall. This book was released on 1970 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
