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.
Part I: Philosophical didactic and scientific conceptions
Chapter 1: Mathematics Education in/with Cyberspace and Digital Technologies: What has been Scientifically Produced About it?
Chapter 2: The View of the World and of Knowledge Made Explicit by Phenomenology: A Turning Point in the way of Understanding Reality
Chapter 3: The Living Body and Cyberspace: The Hyletic Dimension in the Constitution of Knowledge
Part II: Mathematics Education in Cyberspace Being-With-Media
Chapter 4: Understanding Phenomenologically the Constitution of Knowledge when Working with Dynamic Geometry
Chapter 5: Constituting Mathematical Knowledge Being-With-Media in Cyberspace
Chapter 6: Phenomenological Study of a Digital Simulator of the Sine Function Contextualized in a Teaching and Learning Activity
Chapter 7: Resource and Website Developers for Teaching Mathematics on the Ineternet
Part III: Teacher Education in Cyberspace Being-With-Media
Chapter 8: Cybereducation with Mathematics Teachers: Working with Virtual Reality in Mathematics Activities
Chapter 9: Mathematics in African Cultural Creations: Open Horizons to the World of Mathematics Education and the Formation of the Person
Chapter 10: Familiarity-Strangeness: Movements Actualization of a Project of Mathematics Teachers Technological Formation
Part IV: Constitution and Production of Mathematical Knowledge Being with the Computer
Chapter 11: Interactivity as a way to Express and Learn Mathematical Ideas About Change, Dependency and Restriction
Chapter 12: Real Numbers and Computational Challenges Under a Phenomenological Perspective
Chapter 13: The Mathematician Producing Mathematics (Being) with Computers
Chapter 14: the Constitution of the Mathematical Object in Acts of Evidence, from the Perspective of Edmund Husserl's First Logical Investigation
Afterwords: Constitution and Production of Mathematics Knowledge in Cyberspace Being-With-Media