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Geoffrey Saxe traces the emergence of numerical representations and ideas as people participate in collective practices of daily life.
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in scho...
Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in scho...
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to gras...
This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.
Studies of human development have taken an ethnographic turn in the 1990s. In this volume, leading anthropologists, psychologists, and sociologists discuss how qualitative methodologies have strengthened our understanding of cognitive, emotional, and behavioral development, and of the difficulties of growing up in contemporary society. Part 1, informed by a post-positivist philosophy of science, argues for the validity of ethnographic knowledge. Part 2 examines a range of qualitative methods, from participant observation to the hermeneutic elaboration of texts. In Part 3, ethnographic methods are applied to issues of human development across the life span and to social problems including poverty, racial and ethnic marginality, and crime. Restoring ethnographic methods to a central place in social inquiry, these twenty-two lively essays will interest everyone concerned with the epistemological problems of context, meaning, and subjectivity in the behavioral sciences.
First published in 1993. Routledge is an imprint of Taylor & Francis, an informa company.
This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
In this volume, the reader will find a host of fresh perspectives. Authors seek to reconceptualize problems, offering new frames for understanding relations between culture and human development. Contributors include scholars from the disciplines of philosophy, law, theology, anthropology, developmental psychology, neuro- and evolutionary psychology, linguistics, cognitive science, and physics. To help organize the discussions, the volume is divided into three parts. Each part reflects an arena of current scholarly activity related to the analysis of culture, cognition, and development. The editors cast a wide but carefully crafted net in assembling contributions to this volume. Though the contributors span a wide range of disciplines, features common to the work include both clear departures from the polemics of nature-nurture debates and a clear focus on interacting systems in individuals' activities, leading to novel developmental processes. All accounts are efforts to mark new and productive paths for exploring intrinsic relations between culture and development.
In this bold interdisciplinary work, Geoffrey Galt Harpham argues that asceticism has played a major role in shaping Western ideas of the body, writing, ethics, and aesthetics. He suggests that we consider the ascetic as "the 'cultural' element in culture," and presents a close analysis of works by Athanasius, Augustine, Matthias, Grünewald, Nietzsche, Foucault, and other thinkers as proof of the extent of asceticism's resources. Harpham demonstrates the usefulness of his findings by deriving from asceticism a "discourse of resistance," a code of interpretation ultimately more generous and humane than those currently available to us.