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Drawing a line, and then another, and another. Go back from the lines to the movements they capture and see gestures in them: not spatial displacements, but modes of knowledge that pass through the exercise of the body. Discovering something new in a gesture: the line that contracts into a point or the point that expands into a zone, perhaps sinking into a hole. Thus experiencing a diagram: a becoming other inscribed in the novelty of the gesture and in the changes of the forms it shapes. This and much more is discussed in the essays gathered in Diagrams and Gestures. Resulting from trans-disciplinary work between mathematicians, philosophers, linguists and semioticians, the volume delivers an up-to-date account of the most valuable research on the connections between gesture and diagram. As one of the most important themes in contemporary thought, the study of these connections poses a challenge for the future: to elaborate a theory that is equal to new and stimulating research methodologies. We call this theory a philosophy of diagrammatic gestures.
This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
This instructional drawing book is intended to guide the reader through a story-telling based approach to gesture drawing, utilizing different techniques and exercises that encourage and develop creative problem solving as it relates to observational studies. This book clearly outlines a work flow and process with a simple exercise program that encourages the artist to ask questions and create work that engages not only their audience but themselves. Rich illustrations are included throughout that depict this workflow and also different drawing and mark-making techniques, and how to apply the exercises throughout the course of the book. Included are video drawing tutorials and examples. Key Features The approach to drawing as explained in the book is broken down into simple, clearly defined concepts. Each chapter outlines a further step in the drawing process, ending with a technique or exercise the reader can then execute to begin applying each concept to their work. Ample amount of illustrations drawn exclusively for this book or taken directly from the author's physical classes to clearly show the reader individual concepts, exercises, techniques, ideas, etc., so the reader may feel comfortable enough to follow the program. Each chapter includes a chapter objective as well as a summary and ample amount of illustrations which relate to the chapter objective. Key Terms will also be highlighted and defined so that they may be referenced throughout the book without causing unnecessary confusion. Companion video tutorials that show the reader different topics and exercises for reference.
The best survey of cognitive linguistics available, this Handbook provides a thorough explanation of its rich methodology, key results, and interdisciplinary context. With in-depth coverage of the research questions, basic concepts, and various theoretical approaches, the Handbook addresses newly emerging subfields and shows their contribution to the discipline. The Handbook introduces fields of study that have become central to cognitive linguistics, such as conceptual mappings and construction grammar. It explains all the main areas of linguistic analysis traditionally expected in a full linguistics framework, and includes fields of study such as language acquisition, sociolinguistics, diachronic studies, and corpus linguistics. Setting linguistic facts within the context of many other disciplines, the Handbook will be welcomed by researchers and students in a broad range of disciplines, including linguistics, cognitive science, neuroscience, gesture studies, computational linguistics, and multimodal studies.
Landmark study on the role of gestures in relation to speech and thought.
Summarizing her pioneering work on the semiotic analysis of gestures in conversational settings, Geneviève Calbris offers a comprehensive account of her unique perspective on the relationship between gesture, speech, and thought. She highlights the various functions of gesture and especially shows how various gestural signs can be created in the same gesture by analogical links between physical and semantic elements. Originating in our world experience via mimetic and metonymic processes, these analogical links are activated by contexts of use and thus lead to a diverse range of semantic constructions rather as, from the components of a Meccano kit, many different objects can be assembled. By (re)presenting perceptual schemata that mediate between the concrete and the abstract, gesture may frequently anticipate verbal formulation. Arguing for gesture as a symbolic system in its own right that interfaces with thought and speech production, Calbris' book brings a challenging new perspective to gesture studies and will be seminal for generations of gesture researchers.
Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.
How do people know where in the world they are? How do they find their way about? These are the sort of questions about spatial orientation with which this book is concerned. Staying spatially oriented is a pervasive aspect of all be havior. Animals must find their way through their environ ment searching efficiently for food and returning to their home areas and many species have developed very sophisticated sensing apparatus for helping them do this. Even little children know their way around quite complex environments. They remember where they put things and are able to retrieve them with little trouble. Adults in societies across the world have developed complex navigational systems for help ing them find their way over long distances with few dis tinctive landmarks. People across the world use their langu ages to communicate about spatial orientation in problems of simple direction giving and spatial descriptions as well as problems of long range navigation.
An eminent psychologist offers a major new theory of human cognition: movement, not language, is the foundation of thought When we try to think about how we think, we can't help but think of words. Indeed, some have called language the stuff of thought. But pictures are remembered far better than words, and describing faces, scenes, and events defies words. Anytime you take a shortcut or play chess or basketball or rearrange your furniture in your mind, you've done something remarkable: abstract thinking without words. In Mind in Motion, psychologist Barbara Tversky shows that spatial cognition isn't just a peripheral aspect of thought, but its very foundation, enabling us to draw meaning from our bodies and their actions in the world. Our actions in real space get turned into mental actions on thought, often spouting spontaneously from our bodies as gestures. Spatial thinking underlies creating and using maps, assembling furniture, devising football strategies, designing airports, understanding the flow of people, traffic, water, and ideas. Spatial thinking even underlies the structure and meaning of language: why we say we push ideas forward or tear them apart, why we're feeling up or have grown far apart. Like Thinking, Fast and Slow before it, Mind in Motion gives us a new way to think about how--and where--thinking takes place.
This book considers how people talk about the location of objects and places. The book reports on the latest developments in the field of spatial language and sets an agenda for future research on spatial conceptualization and communication in cognitive science, computer science, psychology, and linguistics.