A Systemic Perspective On Cognition And Mathematics

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A Systemic Perspective on Cognition and Mathematics

Author : Jeffrey Yi-Lin Forrest
Publisher : CRC Press
ISBN 13 : 1138000167
Total Pages : 444 pages
Book Rating : 4.1/5 (38 download)

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Book Synopsis A Systemic Perspective on Cognition and Mathematics by : Jeffrey Yi-Lin Forrest

Download or read book A Systemic Perspective on Cognition and Mathematics written by Jeffrey Yi-Lin Forrest and published by CRC Press. This book was released on 2013-02-28 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of human thought, its systemic structure, and the historical development of mathematics both as a product of thought and as a fascinating case analysis. After demonstrating that systems research constitutes the second dimension of modern science, the monograph discusses the yoyo model, a recent ground-breaking development of systems research, which has brought forward revolutionary applications of systems research in various areas of the traditional disciplines, the first dimension of science. After the systemic structure of thought is factually revealed, mathematics, as a product of thought, is analyzed by using the age-old concepts of actual and potential infinities. In an attempt to rebuild the system of mathematics, this volume first provides a new look at some of the most important paradoxes, which have played a crucial role in the development of mathematics, in proving what these paradoxes really entail. Attention is then turned to constructing the logical foundation of two different systems of mathematics, one assuming that actual infinity is different than potential infinity, and the other that these infinities are the same. This volume will be of interest to academic researchers, students and professionals in the areas of systems science, mathematics, philosophy of mathematics, and philosophy of science.

A Systemic Perspective on Cognition and Mathematics

Author : Jeffrey Yi-Lin Forrest
Publisher : CRC Press
ISBN 13 : 020348732X
Total Pages : 434 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis A Systemic Perspective on Cognition and Mathematics by : Jeffrey Yi-Lin Forrest

A Systems Perspective on Financial Systems

Author : Jeffrey Yi-Lin Forrest
Publisher : CRC Press
ISBN 13 : 1315772094
Total Pages : 570 pages
Book Rating : 4.3/5 (157 download)

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Book Synopsis A Systems Perspective on Financial Systems by : Jeffrey Yi-Lin Forrest

Download or read book A Systems Perspective on Financial Systems written by Jeffrey Yi-Lin Forrest and published by CRC Press. This book was released on 2014-03-03 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a systems-theoretical presentation of the main results of applying the systemic yoyo model and relevant analytical tools to the topics of money and financial institutions. The author presents the main concepts and results of the subject matter in the language of systems science, which has in the past century prompted revolut

Managerial Decision Making

Author : Jeffrey Yi-Lin Forrest
Publisher : Springer Nature
ISBN 13 : 3030280640
Total Pages : 310 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Managerial Decision Making by : Jeffrey Yi-Lin Forrest

Download or read book Managerial Decision Making written by Jeffrey Yi-Lin Forrest and published by Springer Nature. This book was released on 2019-10-01 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general theory of managerial decision making on the basis of a few elementary postulates. It employs logic as the method of reasoning, systems science in general and the systemic YoYo Model in particular, as the intuitive playground. By doing so, the authors take individually background-based guesswork out of processes of decision making. All established conclusions are expected to be generally employable in real-life applications. At the same time, the book is user friendly to a wide range of audience, coincides with people's intuition, and provides applicable results and insights for practical purposes.

Understanding Emotions in Mathematical Thinking and Learning

Author : Ulises Xolocotzin
Publisher : Academic Press
ISBN 13 : 0128024895
Total Pages : 476 pages
Book Rating : 4.1/5 (28 download)

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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

Mathematics Learning in Early Childhood

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309147433
Total Pages : 399 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematics Learning in Early Childhood by : National Research Council

Download or read book Mathematics Learning in Early Childhood written by National Research Council and published by National Academies Press. This book was released on 2009-11-13 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Cognition

Author : James M. Royer
Publisher : IAP
ISBN 13 : 1607527960
Total Pages : 271 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Mathematical Cognition by : James M. Royer

Download or read book Mathematical Cognition written by James M. Royer and published by IAP. This book was released on 2003-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives

Author : Sarit Ashkenazi
Publisher : Frontiers Media SA
ISBN 13 : 2889452654
Total Pages : 115 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives by : Sarit Ashkenazi

Download or read book Associations between Reading and Mathematics: Genetic, Brain Imaging, Cognitive and Educational Perspectives written by Sarit Ashkenazi and published by Frontiers Media SA. This book was released on 2017-10-05 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Converging evidence demonstrates a strong link between reading and mathematics: multiple cognitive processes are shared between reading and mathematics, including the representation and retrieval of symbolic information, attention, working memory, and cognitive control. Additionally, multiple brain networks are involved in both math and reading, and last, common genetic factors might influence both reading and math. Hence, it comes as no surprise that there are meaningful associations between (aspects of) math and reading abilities. Moreover, comorbidity rates between math learning disabilities (MD) and reading disabilities (RD) are high (up to 66%) and prevalence rate of the comorbid condition is reported to be more common than the prevalence rate of isolated math learning disabilities. Accordingly, the goal of the research topic is to explore the underline mechanisms of this overlap between reading and math. The research topic aims to include the following topics: • Genetics - it has been found that both RD and MD are based on genetic factors and run in families. Moreover, math problem solving shares significant genetic overlap with general cognitive ability and reading decoding, whereas math fluency shares significant genetic overlap with reading fluency and general cognitive ability. Hence, this topic will explore the shared and unique genetic risk factors to RD and MD, In addition to shared and unique genetic influence on reading and math. • Neural perspective - converging evidence from both structural and multiple functional imaging studies, involving a wide range of numerical tasks, points to the intraparietal sulcus (IPS) as a core region that involve in quantity manipulation. However, several additional brain areas, such as frontoparietal and temporoparietal areas were found to be involved in numerical tasks. Individuals with MD show deficits in a distributed, set of brain regions that include the IPS, fusiform gyrus in posterior brain regions and pre frontal cortex regions. Similarly, converging evidence indicate that the left hemisphere regions centered in the fusiform gyrus, temporoparietal cortex, and pre frontal cortex regions are strongly involve in typical reading and present lower activity, connectivity or abnormal structure in RD. Thus, there is a meaningful neural overlap between reading and math. Hence, the authors can submit empirical studies on the role of several of brain regions that are involved in math and reading (commonality and diversity) both in the typical and a-typical development. • Cognitive factors that play role in mathematics and reading, and comorbidity between RD and MD - There is a long lasting debate whether MD and RD originate from unique cognitive mechanisms or not. Multiple cognitive processes are shared between reading and mathematics. Therefore, impairments in any one of domain-general skills could conceivably play an important role in both pure and comorbid conditions. Moreover, it has been suggested that phonological processing has a significant role in some aspects of numerical processing such as retrieval of arithmetical facts. • Education - it will be interesting to look at the effect of interventions that aim to improve reading (such as phonological awareness) and there transfer effect on improving mathematical processing. Alternatively, it will be good to test whether math interventions will improve reading.

Handbook of Cognitive Mathematics

Author : Marcel Danesi
Publisher : Springer Nature
ISBN 13 : 3031039459
Total Pages : 1392 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Handbook of Cognitive Mathematics by : Marcel Danesi

Download or read book Handbook of Cognitive Mathematics written by Marcel Danesi and published by Springer Nature. This book was released on 2022-10-31 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.

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

Author : Kinga Morsanyi
Publisher : Frontiers Media SA
ISBN 13 : 2889450767
Total Pages : 196 pages
Book Rating : 4.8/5 (894 download)

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Book Synopsis Mathematical and Statistics Anxiety: Educational, Social, Developmental and Cognitive Perspectives by : Kinga Morsanyi

Download or read book Mathematical and Statistics Anxiety: Educational, Social, Developmental and Cognitive Perspectives written by Kinga Morsanyi and published by Frontiers Media SA. This book was released on 2017-01-19 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Collected Papers. Volume XIV

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XIV by : Florentin Smarandache

Download or read book Collected Papers. Volume XIV written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-11-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.

Learning Mathematics

Author : Prof Leone Burton
Publisher : Routledge
ISBN 13 : 1135698481
Total Pages : 280 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Learning Mathematics by : Prof Leone Burton

Download or read book Learning Mathematics written by Prof Leone Burton and published by Routledge. This book was released on 2012-10-12 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.

International Perspectives on the Design of Technology-supported Learning Environments

Author : Stella Vosniadou
Publisher : Routledge
ISBN 13 : 1136488839
Total Pages : 407 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis International Perspectives on the Design of Technology-supported Learning Environments by : Stella Vosniadou

Download or read book International Perspectives on the Design of Technology-supported Learning Environments written by Stella Vosniadou and published by Routledge. This book was released on 2012-10-12 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the use of technology for the purposes of improving and enriching traditional instructional practices has received a great deal of attention. However, few works have explicitly examined cognitive, psychological, and educational principles on which technology-supported learning environments are based. This volume attempts to cover the need for a thorough theoretical analysis and discussion of the principles of system design that underlie the construction of technology-enhanced learning environments. It presents examples of technology-supported learning environments that cover a broad range of content domains, from the physical sciences and mathematics to the teaching of language and literacy. The emphasis in this book is not on the design of educational software but on the design of learning environments. A great deal of research on learning and instruction has recently moved out of the laboratory into the design of applications in instructional settings. By designing technology-supported learning environments instructional scientists attempt to better understand the theories and principles that are explicit in their theories of learning. The contributors to this volume examine how factors such as social interaction, the creation of meaningful activities, the use of multiple perspectives, and the construction of concrete representations influence the acquisition of new information and transfer.

Geometries Of Nature, Living Systems And Human Cognition: New Interactions Of Mathematics With Natural Sciences And Humanities

Author : Luciano Boi
Publisher : World Scientific
ISBN 13 : 9814479454
Total Pages : 444 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Geometries Of Nature, Living Systems And Human Cognition: New Interactions Of Mathematics With Natural Sciences And Humanities by : Luciano Boi

Download or read book Geometries Of Nature, Living Systems And Human Cognition: New Interactions Of Mathematics With Natural Sciences And Humanities written by Luciano Boi and published by World Scientific. This book was released on 2005-11-02 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent developments in the natural and living sciences. The book explores some far-reaching interfaces where mathematics, theoretical physics, and natural sciences seem to interact profoundly. The main goal is to show that an accomplished movement of geometrisation has enabled the discovery of a great variety of amazing structures and behaviors in physical reality and in living matter. The diverse group of expert mathematicians, physicists and natural scientists present numerous new results and original ideas, methods and techniques. Both academic and interdisciplinary, the book investigates a number of important connections between mathematics, theoretical physics and natural sciences including biology.

Development of Mathematical Cognition

Author : Daniel B. Berch
Publisher : Academic Press
ISBN 13 : 0128019093
Total Pages : 418 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Development of Mathematical Cognition by : Daniel B. Berch

Download or read book Development of Mathematical Cognition written by Daniel B. Berch and published by Academic Press. This book was released on 2015-10-03 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Development of Mathematical Cognition: Neural Substrates and Genetic Influences reviews advances in extant imaging modalities and the application of brain stimulation techniques for improving mathematical learning. It goes on to explore the role genetics and environmental influences have in the development of math abilities and disabilities. Focusing on the neural substrates and genetic factors associated with both the typical and atypical development of mathematical thinking and learning, this second volume in the Mathematical Cognition and Learning series integrates the latest in innovative measures and methodological advances from the top researchers in the field. - Provides details about new progress made in the study of neural correlates of numerical and arithmetic cognition - Addresses recent work in quantitative and molecular genetics - Works to improve instruction in numerical, arithmetical, and algebraic thinking and learning - Informs policy to help increase the level of mathematical proficiency among the general public

Unlocking Creativity in Solving Novel Mathematics Problems

Author : Carol R. Aldous
Publisher : Routledge
ISBN 13 : 0429684274
Total Pages : 318 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Unlocking Creativity in Solving Novel Mathematics Problems by : Carol R. Aldous

Download or read book Unlocking Creativity in Solving Novel Mathematics Problems written by Carol R. Aldous and published by Routledge. This book was released on 2019-06-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlocking Creativity in Solving Novel Mathematics Problems delivers a fascinating insight into thinking and feeling approaches used in creative problem solving and explores whether attending to ‘feeling’ makes any difference to solving novel problems successfully. With a focus on research throughout, this book reveals ways of identifying, describing and measuring ‘feeling’ (or ‘intuition’) in problem-solving processes. It details construction of a new creative problem-solving conceptual framework using cognitive and non-cognitive elements, including the brain’s visuo-spatial and linguistic circuits, conscious and non-conscious mental activity, and the generation of feeling in listening to the self, identified from verbal data. This framework becomes the process model for developing a comprehensive quantitative model of creative problem solving incorporating the Person, Product, Process and Environment dimensions of creativity. In a world constantly seeking new ideas and new approaches to solving complex problems, the application of this book’s findings will revolutionize the way students, teachers, businesses and industries approach novel problem solving, and mathematics learning and teaching.

Affective Performance and Cognitive Science

Author : Nicola Shaughnessy
Publisher : A&C Black
ISBN 13 : 1408193159
Total Pages : 315 pages
Book Rating : 4.4/5 (81 download)

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Book Synopsis Affective Performance and Cognitive Science by : Nicola Shaughnessy

Download or read book Affective Performance and Cognitive Science written by Nicola Shaughnessy and published by A&C Black. This book was released on 2013-12-05 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new developments in the dialogues between science and theatre and offers an introduction to a fast-expanding area of research and practice. The cognitive revolution in the humanities is creating new insights into the audience experience, performance processes and training. Scientists are collaborating with artists to investigate how our brains and bodies engage with performance to create new understanding of perception, emotion, imagination and empathy. Divided into four parts, each introduced by an expert editorial from leading researchers in the field, this edited volume offers readers an understanding of some of the main areas of collaboration and research: 1. Dances with Science 2. Touching Texts and Embodied Performance 3. The Multimodal Actor 4. Affecting Audiences Throughout its history theatre has provided exciting and accessible stagings of science, while contemporary practitioners are increasingly working with scientific and medical material. As Honour Bayes reported in the Guardian in 2011, the relationships between theatre, science and performance are 'exciting, explosive and unexpected'. Affective Performance and Cognitive Science charts new directions in the relations between disciplines, exploring how science and theatre can impact upon each other with reference to training, drama texts, performance and spectatorship. The book assesses the current state of play in this interdisciplinary field, facilitating cross disciplinary exchange and preparing the way for future studies.