Constitution and Production of Mathematics in the Cyberspace : A Phenomenological Approach

This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, __Constitution and Production of Mathematics in the Cyberspace – A Phenomenological Approach__ will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world. Front Matter ....Pages i-xiv Front Matter ....Pages 1-1 Mathematics Education in/with Cyberspace and Digital Technologies: What Has Been Scientifically Produced About It? (Maurício Rosa)....Pages 3-15 The View of the World and of Knowledge Made Explicit by Phenomenology: A Turning Point in the Way of Understanding Reality (Maria Aparecida Viggiani Bicudo)....Pages 17-34 The Living Body and Cyberspace: The Hyletic Dimension in the Constitution of Knowledge (Angela Ales Bello)....Pages 35-45 Front Matter ....Pages 47-47 Understanding Phenomenologically the Constitution of Knowledge When Working with Dynamic Geometry (José Milton Lopes Pinheiro, Maria Aparecida Viggiani Bicudo, Adlai Ralph Detoni)....Pages 49-65 Constituting Mathematical Knowledge Being-with-Media in Cyberspace (Maria Aparecida Viggiani Bicudo)....Pages 67-85 Phenomenological Study of a Digital Simulator of the Sine Function Contextualized in a Teaching and Learning Activity (Verilda Speridião Kluth)....Pages 87-103 Resource and Website Developers for Teaching Mathematics on the Internet (Marli Regina dos Santos)....Pages 105-120 Front Matter ....Pages 121-121 Cybereducation with Mathematics Teachers: Working with Virtual Reality in Mathematics Activities (Maurício Rosa, Rosana Piovesan Pinheiro)....Pages 123-140 Mathematics in African Cultural Creations: Open Horizons to the World of Mathematics Education and the Formation of the Person (Tânia Baier, Maria Aparecida Viggiani Bicudo)....Pages 141-157 Familiarity-Strangeness: Movements on Actualization of a Project of Mathematics Teachers Technological Formation (Luciane Ferreira Mocrosky, Fabiane Mondini, Nelem Orlowski)....Pages 159-172 Front Matter ....Pages 173-173 Interactivity as a Way to Express and Learn Mathematical Ideas About Change, Dependency, and Restriction (Orlando de Andrade Figueiredo)....Pages 175-194 Real Numbers and Computational Challenges Under a Phenomenological Perspective (Bruno Henrique Labriola Misse)....Pages 195-209 The Mathematician Producing Mathematics (Being) with Computers (Rosa Monteiro Paulo, Miliam Juliana Alves Ferreira)....Pages 211-226 The Constitution of the Mathematical Object in Acts of Evidence, from the Perspective of Edmund Husserl’s First Logical Investigation (Jamur Andre Venturin, Flávio de Souza Coelho)....Pages 227-243 Constitution and Production of Mathematical Knowledge in Cyberspace Being-With-Media (Fabiane Mondini, Luciane Ferreira Mocrosky, Rosa Monteiro Paulo)....Pages 245-253 Back Matter ....Pages 255-259 "This book brings together various studies that assume phenomenology to analyze how mathematics education is affected by the experience of being in the cyberspace. The authors of the chapters included in this contributed volume work with the theoretical framework developed by authors such as Edmund Husserl, Martin Heidegger and Maurice Merleau-Ponty to investigate how mathematics is produced and comprehended in a new way of being in the world, with digital technologies. The aim of this book is not to explain the tools used and how one works with them in the cyberspace, aiming at better teaching and learning mathematics. Its purpose is to present philosophical investigations that contribute to the understanding of the complexity of the world in which we are being researchers and mathematics teachers. By doing so, Constitution and Production of Mathematics in the Cyberspace - A Phenomenological Approach will help researchers and mathematics teachers understand their role in a world in which the experience of teaching and learning mathematics is being radically changed by new technologies and new ways of being in this world." -- prové de l'editor