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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.
Landmark study on the role of gestures in relation to speech and thought.
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.
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.
For information that is not inherently spatial, participants use representational gestures to facilitate the visualization. For instance, a temporal schedule can be visualized into a two-dimension table. For linear order text, people create a list of items that are organized by a certain order. When the spatial and not inherently spatial models are presented in maps or diagrams, representational gestures were still observed and beneficial for the memory test. Due to the limited sample size and other limitations of the lab setting experiment, these studies did not provide strong results that support the hypotheses that gestures help people comprehend and memorize information. Gestures were found beneficial for only one type of stimuli (mechanical systems) and an overall effect on memory test scores across text and diagram stimuli. Even though the effect of gestures was not significant between different types and formats of stimuli, it was in the right direction. Future research with more sensitive measurements could further explore gestures for thinking.
Gesture, or visible bodily action that is seen as intimately involved in the activity of speaking, has long fascinated scholars and laymen alike. Written by a leading authority on the subject, this 2004 study provides a comprehensive treatment of gesture and its use in interaction, drawing on the analysis of everyday conversations to demonstrate its varied role in the construction of utterances. Adam Kendon accompanies his analyses with an extended discussion of the history of the study of gesture - a topic not dealt with in any previous publication - as well as exploring the relationship between gesture and sign language, and how the use of gesture varies according to cultural and language differences. Set to become the definitive account of the topic, Gesture will be invaluable to all those interested in human communication. Its publication marks a major development, both in semiotics and in the emerging field of gesture studies.
This book explores alternative ways to consider the relationship between mathematics and the material world. Drawing on the philosophy of Gilles Châtelet and the post-humanist materialism of Karen Barad, the authors present an 'inclusive materialist' approach to studying mathematics education. This approach offers a fresh perspective on human and nonhuman bodies, challenging current assumptions about the role of the senses, language, and ability in teaching and learning mathematics. Each chapter provides empirical examples from the classroom that demonstrate how inclusive materialism can be applied to a wide range of concerns in the field. The authors analyze recent studies on students' gestures, expressions, and drawings in order to establish a link between mathematical activity and mathematical concepts. Mathematics and the Body expands the landscape of research in mathematics education and will be an essential resource for teachers, students, and researchers alike.
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.