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Networking of Theories as a Research Practice in Mathematics Education

Networking of Theories as a Research Practice in Mathematics Education PDF Author: Angelika Bikner-Ahsbahs
Publisher: Springer
ISBN: 3319053892
Category : Education
Languages : en
Pages : 326

Book Description
How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.

Networking of Theories as a Research Practice in Mathematics Education

Networking of Theories as a Research Practice in Mathematics Education PDF Author: Angelika Bikner-Ahsbahs
Publisher: Springer
ISBN: 3319053892
Category : Education
Languages : en
Pages : 326

Book Description
How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.

Compendium for Research in Mathematics Education

Compendium for Research in Mathematics Education PDF Author: Jinfa Cai
Publisher: National Council of Teachers of English
ISBN: 9780873537117
Category : Matemáticas
Languages : en
Pages : 1008

Book Description
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five sections that address research about (1) foundations, (2) methods, (3) mathematical processes and content, (4) students, teachers, and learning environments, and (5) futuristic issues. Each chapter offers a synthesis of research with an eye to the historical development of a research topic and, in particular, historical milestones of the research about the topic.

A Historical Catalogue of Scientists and Scientific Books

A Historical Catalogue of Scientists and Scientific Books PDF Author: Robert Mortimer Gascoigne
Publisher: Scholarly Title
ISBN:
Category : Science
Languages : en
Pages : 1216

Book Description


How Language Began

How Language Began PDF Author: David McNeill
Publisher: Cambridge University Press
ISBN: 1139560913
Category : Language Arts & Disciplines
Languages : en
Pages : 279

Book Description
Human language is not the same as human speech. We use gestures and signs to communicate alongside, or instead of, speaking. Yet gestures and speech are processed in the same areas of the human brain, and the study of how both have evolved is central to research on the origins of human communication. Written by one of the pioneers of the field, this is the first book to explain how speech and gesture evolved together into a system that all humans possess. Nearly all theorizing about the origins of language either ignores gesture, views it as an add-on or supposes that language began in gesture and was later replaced by speech. David McNeill challenges the popular 'gesture-first' theory that language first emerged in a gesture-only form and proposes a groundbreaking theory of the evolution of language which explains how speech and gesture became unified.

Emerging Perspectives on Gesture and Embodiment in Mathematics

Emerging Perspectives on Gesture and Embodiment in Mathematics PDF Author: Laurie D. Edwards
Publisher: IAP
ISBN: 1623965551
Category : Education
Languages : en
Pages : 277

Book Description
The purpose of the book is to establish a common language for, and understanding of, embodiment as it applies to mathematical thinking, and to link mathematics education research to recent work in gesture studies, cognitive linguistics and the theory of embodied cognition. Just as in past decades, mathematics education experienced a "turn to the social" in which socio-cultural factors were explored, in recent years there has been a nascent "turn to the body." An increasing number of researchers and theorists in mathematics education have become interested in the fact that, although mathematics may be socially constructed, this construction is not arbitrary or unconstrained, but rather is rooted in, and shaped by, the body. All those who engage with mathematics, whether at an elementary or advanced level, share the same basic biological and cognitive capabilities, as well as certain common physical experiences that come with being humans living in a material world. In addition, the doing and communicating of mathematics is never a purely intellectual activity: it involves a wide range of bodily actions, from committing inscriptions to paper or whiteboard, to speaking, listening, gesturing and gazing. This volume will present recent research on gesture and mathematics, within a framework that addresses several levels of mathematical development. The chapters will begin with contributions that examine early mathematical and proto-mathematical knowledge, for example, the conservation of volume and counting. The role of gesture in teaching and learning arithmetic procedures will be addressed. Core concepts and tools from secondary level mathematics will be investigated, including algebra, functions and graphing. And finally, research into the embodied understanding of advanced topics in geometry and calculus will be presented. The overall goal for the volume is to acknowledge the multimodal nature of mathematical knowing, and to contribute to the creation of a model of the interactions and mutual influences of bodily motion, spatial thinking, gesture, speech and external inscriptions on mathematical thinking, communication and learning. The intended audience is researchers and theorists in mathematics education as well as graduate students in the field.

Food Fray

Food Fray PDF Author: Lisa H. WEASEL Ph.D.
Publisher: AMACOM Div American Mgmt Assn
ISBN: 0814401783
Category : Technology & Engineering
Languages : en
Pages : 258

Book Description
More than ten years ago, the first genetically modified foods took their place on the shelves of American supermarkets. But while American consumers remained blissfully unconcerned with the new products that suddenly filled their kitchens, Europeans were much more wary of these “Frankenfoods.” When famine struck Africa in 2002, several nations refused shipments of genetically modified foods, fueling a controversy that put the issue on the world's political agenda for good. In Food Fray, esteemed molecular biologist Dr. Lisa H. Weasel brings readers into the center of this debate, capturing the real-life experiences of the scientists, farmers, policymakers and grassroots activists on the front lines. Here she combines solid scientific knowledge and a gripping narrative to tell the real story behind the headlines and the hype. Seminal and cutting-edge, Food Fray enlightens and informs and will allow readers to make up their own minds about one of the most important issues facing us today.

Report of Surveyor-General

Report of Surveyor-General PDF Author: South Australia. Survey Department
Publisher:
ISBN:
Category : Public lands
Languages : en
Pages : 22

Book Description


Conceptual Mathematics

Conceptual Mathematics PDF Author: F. William Lawvere
Publisher: Cambridge University Press
ISBN: 0521894859
Category : Mathematics
Languages : en
Pages : 409

Book Description
This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

Modeling Uncertainty in the Earth Sciences

Modeling Uncertainty in the Earth Sciences PDF Author: Jef Caers
Publisher: John Wiley & Sons
ISBN: 1119998719
Category : Science
Languages : en
Pages : 294

Book Description
Modeling Uncertainty in the Earth Sciences highlights the various issues, techniques and practical modeling tools available for modeling the uncertainty of complex Earth systems and the impact that it has on practical situations. The aim of the book is to provide an introductory overview which covers a broad range of tried-and-tested tools. Descriptions of concepts, philosophies, challenges, methodologies and workflows give the reader an understanding of the best way to make decisions under uncertainty for Earth Science problems. The book covers key issues such as: Spatial and time aspect; large complexity and dimensionality; computation power; costs of 'engineering' the Earth; uncertainty in the modeling and decision process. Focusing on reliable and practical methods this book provides an invaluable primer for the complex area of decision making with uncertainty in the Earth Sciences.

Clean Energy Nation

Clean Energy Nation PDF Author: Gerald McNerney
Publisher: AMACOM Div American Mgmt Assn
ISBN: 0814413722
Category : Business & Economics
Languages : en
Pages : 321

Book Description
Americans are already feeling the pressures of the current energy situation, and many of us are ready to make a change. Clean Energy Nation is a timely and hopeful look at an issue we can't afford to ignore. --Book Jacket.