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Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations

Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations PDF Author: Raymond Duval
Publisher: Springer
ISBN: 3319569104
Category : Education
Languages : en
Pages : 133

Book Description
In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: • How to situate the registers of representation regarding the other semiotic “theories” • Why use a semio-cognitive analysis of the mathematical activity to teach mathematics • How to distinguish the different types of registers • How to organize learning tasks and activities which take into account the registers of representation • How to make an analysis of the students’ production in terms of registers Building upon the contributions he first presented in his classic book Sémiosis et pensée humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry. “Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval’s cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes.” Professor Tânia M. M. Campos, PHD.

Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations

Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations PDF Author: Raymond Duval
Publisher: Springer
ISBN: 3319569104
Category : Education
Languages : en
Pages : 133

Book Description
In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: • How to situate the registers of representation regarding the other semiotic “theories” • Why use a semio-cognitive analysis of the mathematical activity to teach mathematics • How to distinguish the different types of registers • How to organize learning tasks and activities which take into account the registers of representation • How to make an analysis of the students’ production in terms of registers Building upon the contributions he first presented in his classic book Sémiosis et pensée humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry. “Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval’s cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes.” Professor Tânia M. M. Campos, PHD.

Teaching Tech Together

Teaching Tech Together PDF Author: Greg Wilson
Publisher: CRC Press
ISBN: 1000728153
Category : Computers
Languages : en
Pages : 229

Book Description
Hundreds of grassroots groups have sprung up around the world to teach programming, web design, robotics, and other skills outside traditional classrooms. These groups exist so that people don't have to learn these things on their own, but ironically, their founders and instructors are often teaching themselves how to teach. There's a better way. This book presents evidence-based practices that will help you create and deliver lessons that work and build a teaching community around them. Topics include the differences between different kinds of learners, diagnosing and correcting misunderstandings, teaching as a performance art, what motivates and demotivates adult learners, how to be a good ally, fostering a healthy community, getting the word out, and building alliances with like-minded groups. The book includes over a hundred exercises that can be done individually or in groups, over 350 references, and a glossary to help you navigate educational jargon.

Critical Applied Linguistics

Critical Applied Linguistics PDF Author: Alastair Pennycook
Publisher: Routledge
ISBN: 1135650187
Category : Education
Languages : en
Pages : 202

Book Description
This accessible guide and introduction to critical applied linguistics provides a clear overview, highlighting problems, debates, and competing views in language education, literacy, discourse analysis, language in the workplace, translation and other language-related domains. Covering both critical theory and domains of practice, the book is organized around five themes: the politics of knowledge, the politics of language, the politics of texts, the politics of pedagogy, and the politics of difference. It is an important text for anyone involved in applied linguistics, TESOL, language education, or other language-related fields.

Innovating with Concept Mapping

Innovating with Concept Mapping PDF Author: Alberto Cañas
Publisher: Springer
ISBN: 331945501X
Category : Education
Languages : en
Pages : 342

Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Concept Mapping, CMC 2016, held in Tallinn, Estonia, in September 2016. The 25 revised full papers presented were carefully reviewed and selected from 135 submissions. The papers address issues such as facilitation of learning; eliciting, capturing, archiving, and using “expert” knowledge; planning instruction; assessment of “deep” understandings; research planning; collaborative knowledge modeling; creation of “knowledge portfolios”; curriculum design; eLearning, and administrative and strategic planning and monitoring.

Multiple Intelligences in the Elementary Classroom

Multiple Intelligences in the Elementary Classroom PDF Author: Susan Baum
Publisher: Teachers College Press
ISBN: 9780807746103
Category : Education
Languages : en
Pages : 166

Book Description
This book will help teachers design effective curriculum for their students with diverse learning abilities. The authors have created a guided process to apply MI theory to the elementary school classroom. The five, pathways, or approaches examined: Exploration, Bridging, Understanding, Authentic Problems, and Talent Development, represent the ways in which MI can be implemented and nurtured across the elementary grades. The Pathways Model promotes and supports the development of a well-grounded understanding of MI theory to inform goal-setting and planning for using multiple intelligences theory in the classroom. Each pathway addresses a different set of goals and provides appropriate guidelines and examples.

An Introduction to Curriculum Research and Development

An Introduction to Curriculum Research and Development PDF Author: Lawrence Stenhouse
Publisher:
ISBN:
Category :
Languages : en
Pages : 248

Book Description


Intelligence Reframed

Intelligence Reframed PDF Author: Howard E Gardner
Publisher: Basic Books
ISBN: 0465013147
Category : Education
Languages : en
Pages : 257

Book Description
Harvard psychologist Howard Gardner has been acclaimed as the most influential educational theorist since John Dewey. His ideas about intelligence and creativity - explicated in such bestselling books as Frames of Mind and Multiple Intelligences (over 200,000 copies in print combined) - have revolutionized our thinking. In his groundbreaking 1983 book Frames of Mind , Howard Gardner first introduced the theory of multiple intelligences, which posits that intelligence is more than a single property of the human mind. That theory has become widely accepted as one of the seminal ideas of the twentieth century and continues to attract attention all over the world. Now in Intelligence Reframed , Gardner provides a much-needed report on the theory, its evolution and revisions. He offers practical guidance on the educational uses of the theory and responds to the critiques leveled against him. He also introduces two new intelligences (existential intelligence and naturalist intelligence) and argues that the concept of intelligence should be broadened, but not so absurdly that it includes every human virtue and value. Ultimately, argues Gardner, possessing a basic set of seven or eight intelligences is not only a unique trademark of the human species, but also perhaps even a working definition of the species. Gardner also offers provocative ideas about creativity, leadership, and moral excellence, and speculates about the relationship between multiple intelligences and the world of work in the future.

Multiple Intelligences Around the World

Multiple Intelligences Around the World PDF Author: Jie-Qi Chen
Publisher: John Wiley & Sons
ISBN: 0787997609
Category : Education
Languages : en
Pages : 433

Book Description
Howard Gardner's theory of Multiple Intelligences (MI) has become a cornerstone of American education. This is the first book to draw upon an international network of MI practitioners to share stories and strategies of educational innovation. Each contributor addresses key questions of MI application. How have different people implemented MI? How do different cultures assimilate this intelligence theory to fit their educational values and traditions? What kinds of cultural conflicts are encountered along the way? And, what universal lessons can be drawn from these experiences?

Failing Gloriously and Other Essays

Failing Gloriously and Other Essays PDF Author: Shawn Graham
Publisher: Digital Press at the University of North Dakota, T
ISBN: 9781732841086
Category : Social Science
Languages : en
Pages : 160

Book Description
Failing Gloriously and Other Essays documents Shawn Graham's odyssey through the digital humanities and digital archaeology against the backdrop of the 21st-century university. At turns hilarious, depressing, and inspiring, Graham's book presents a contemporary take on the academic memoir, but rather than celebrating the victories, he reflects on the failures and considers their impact on his intellectual and professional development. These aren't heroic tales of overcoming odds or paeans to failure as evidence for a macho willingness to take risks. They're honest lessons laced with a genuine humility that encourages us to think about making it safer for ourselves and others to fail.A foreword from Eric Kansa and an afterword by Neha Gupta engage the lessons of Failing Gloriously and consider the role of failure in digital archaeology, the humanities, and social sciences.

Measuring Multiple Intelligences and Moral Sensitivities in Education

Measuring Multiple Intelligences and Moral Sensitivities in Education PDF Author: Kirsi Tirri
Publisher: Springer Science & Business Media
ISBN: 9460917585
Category : Education
Languages : en
Pages : 148

Book Description
In this book, we introduce several sensitivity measures in educational contexts that can be used in research, education and self-evaluations. In Chapter 1 we discuss the framework of Howard Gardner‘s Multiple Intelligences theory and introduce our Multiple Intelligences Profiling Questionnaire. We present the psychometrical qualities of the instrument with empirical data sets of children, youth and adults. In Chapter 2 the Spiritual Sensitivity Scale is introduced with the theoretical framework it is connected to. The existence of spiritual intelligence has been a widely debated issue and not everybody is ready to call advanced thinking in religious or spiritual domains as intelligence. This has guided us to use the term sensitivity, which is easier to justify than intelligence in these areas of human behavior. In Chapter 3 we introduce the Environmental Sensitivity Scale, which is quite close to the possible intelligence of naturalist suggested by Gardner. In Chapter 4, Ethical Sensitivity Scale is introduced followed by Emotional Leadership Questionnaire in Chapter 5. All these scales have a solid theoretical framework and earlier empirical work to support the instrument building. Chapter 6 introduces Intercultural and Interreligious Sensitivity Scales with their theoretical frameworks and earlier empirical work. Following each chapter, we have included a ready-to-use version of the questionnaire and SPSS syntax to compute factors. A commentary by Dr. Seana Moran compliments the book and challenges the readers to further reflect the meaning of education in supporting holistic development of learners in their life-long journey. We have authored this book to contribute to this goal and hope it will be used in the hands of researchers, teachers and students in their mutual effort to grow and to learn new things in life.