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Humans-with-media and the reorganization of mathematical thinking : information and communication technologies, modeling, visualization, and experimentation

Author: Marcelo C Borba; Monica E Villarreal
Publisher: New York : Springer, ©2005.
Series: Mathematics education library, v. 39.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Building on examples, research and theory, the authors  Read more...

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Additional Physical Format: Print version:
Borba, Marcelo C. (Marcelo Carvalho).
Humans-with-media and the reorganization of mathematical thinking.
New York : Springer, ©2005
(DLC) 2004065301
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Marcelo C Borba; Monica E Villarreal
ISBN: 9780387242644 0387242643
OCLC Number: 423842422
Notes: Titre de l'écran-titre (visionné le 13 mars 2008).
Description: 1 online resource.
Contents: Cover --
Dedication --
Table of Contents --
Contributing Authors --
Preface by Ubiratan D'Ambrosio --
Foreword --
Acknowledgments --
Why another book about technology and mathematics education? --
1. Introduction --
Information technology, reorganization of thinking and humans-with-media --
1. The second industrial revolution and education --
2. Reorganization of thinking --
3. Intershaping relationship: stressing balance --
4. Humans and technology: a history of separation --
5. Media, humans and knowledge: possibilities of merging --
Modeling as a pedagogical approach: resonance with new media --
1. Introduction --
2. Problem solving, problem posing and modeling --
3. Roots of modeling in Brazil --
4. Project work: its roots in Denmark --
5. Modeling and information and communication technology --
6. Modeling and its limitations --
Experimental-with-technology approach: resonance with modeling and multiple representations --
1. Introduction --
2. Experimentation in mathematics --
3. Experimentation in mathematics education --
4. Multiple representations and media --
Visualization, mathematics education and computer environments --
1. Visualization: some definitions --
2. Visualization and media in mathematics --
3. Visualization and media in mathematics education --
4. Visualization and humans-with-media --
Modeling and media in action --
1. Introduction --
2. Modeling in a mathematics course for biology majors --
3. Modeling and humans-with-textbooks-Excel-paper-and-pencil collectives --
4. Modeling when the Internet becomes an actor --
5. Modeling, humans-with-paper-and-pencil and ... potatoes --
6. Science in action in the classroom and video clip culture --
Experimentation, visualization and media in action --
1. Introduction --
2. Experimenting with parabolas: visual conjectures --
4. Experimenting with functions I: the AG-GA theorem --
5. Experimenting with functions 11: multiple representations and intermedia coordination --
6. Construction of derivatives: a graphical approach --
7. Tangent lines: visual and algebraic approaches --
8. Visualization, media and the voice of the students --
9. Visualization, experimentation and books --
10. Experimentation, visualization and reorganization of thinking --
Mathematics and Mathematics Education on-line --
1. Humans-with-Internet and education --
2. The nature of interaction in a distance education course --
3. Chat and mathematics in the classroom --
4. Research problems --
Methodology: an interface between epistemology and procedures --
Political dimensions of Information and Communication Technology --
Afterword by Ole Skovsmose --
References --
Index.
Series Title: Mathematics education library, v. 39.
Responsibility: Marcelo C. Borba, Monica E. Villarreal (authors) ; preface by Ubiratan D'Ambrosio ; afterword by Ole Skovsmose.

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From the reviews: "This is a refreshing book in that it adopts a critical perspective on past and current practices in relation to technologies in mathematics education a ] . The book is very Read more...

 
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