Humans-with-Media and the Reorganization of Mathematical Thinking: Information and Communication Technologies, Modeling, Visualization and ExperimentationSpringer Science & Business Media, 2005 M03 22 - 229 páginas This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. Borba and Villarreal provide examples from research conducted at the level of basic and university-level education, developed by their research group based in Brazil, and discuss their findings in the light of the relevant literature. Arguing that different media reorganize mathematical thinking in different ways, they discuss how computers, writing and oral discourse transform education at an epistemological as well as a political level. Modeling and experimentation are seen as pedagogical approaches which are in harmony with changes brought about by the presence of information and communication technology in educational settings. Examples of research about on-line mathematics education courses, and Internet used in regular mathematics courses, are presented and discussed at a theoretical level. In this book, mathematical knowledge is seen as developed by collectives of humans-with-media. The authors propose that knowledge is never constructed solely by humans, but by collectives of humans and technologies of intelligence. Theoretical discussion developed in the book, together with new examples, shed new light on discussions regarding visualization, experimentation and multiple representations in mathematics education. Insightful examples from educational practice open up new paths for the reader. |
Contenido
Why another book about technology and mathematics education? | 1 |
Information technology reorganization of thinking and humanswithmedia | 9 |
2 Reorganization of thinking | 11 |
stressing balance | 15 |
a history of separation | 17 |
possibilities of merging | 21 |
resonance with new media | 29 |
2 Problem solving problem posing and modeling | 33 |
4 Modeling when the Internet becomes an actor | 109 |
5 Modeling humanswithpaperandpencil and potatoes | 114 |
6 Science in action in the classroom and video clip culture | 119 |
Experimentationvisualization and media in action | 125 |
visual conjectures | 126 |
more visual conjectures | 130 |
the AGGA theorem | 135 |
multiple representations and intermedia coordination | 140 |
3 Roots of modeling in Brazil | 47 |
its roots in Denmark | 52 |
5 Modeling and information and Communication technology | 54 |
6 Modeling and its limitations | 59 |
resonance with modeling and multiple representations | 63 |
2 Experimentation in mathematics | 65 |
3 Experimentation in mathematics education | 71 |
4 Multiple representations and media | 76 |
Visualization mathematics education and computer environments | 79 |
2 Visualization and media in mathematics | 82 |
3 Visualization and media in mathematics education | 88 |
4 Visualization and humanswithmedia | 97 |
Modeling and media in action | 101 |
2 Modeling in mathematics course for biology majors | 102 |
3 Modeling and humanswithtextbooksexcelpaperandpencil collectives | 105 |
a graphical approach | 145 |
visual and algebraic approaches | 151 |
8 Visualization media and the voice of the students | 156 |
9 Visualization experimentation and books | 158 |
10 Experimentation visualization and reorganization of thinking | 165 |
Mathematics and Mathematics Education online | 169 |
2 The nature of interaction in a distance education course | 173 |
3 Chat and mathematics in the classroom | 179 |
4 Research problems | 184 |
an interface between epistemology and procedures | 187 |
Political dimensions of information and communication technology | 201 |
Afterword | 211 |
References | 217 |
227 | |
Otras ediciones - Ver todas
Humans-with-Media and the Reorganization of Mathematical Thinking ... Marcelo C. Borba,Monica E. Villarreal Vista previa limitada - 2005 |
Humans-with-Media and the Reorganization of Mathematical Thinking ... Marcelo C. Borba,Monica E. Villarreal Sin vista previa disponible - 2006 |
Términos y frases comunes
Referencias a este libro
Handbook of International Research in Mathematics Education Lyn D. English,Maria Giuseppina Bartolini Bussi Sin vista previa disponible - 2008 |