Following Husserl's speculations on how geometry originated, we suggest that spatial perception is seduced by language as a result of human attempts to capture, signify and share its concepts. And this language traps geometry and humans themselves in to the forms that have guided and regulated past practices, thereby obscuring possibilities for cultural growth and adjustments to new conditions. Some body movement exercises reveal student teachers' spatial orientations. The paper proposes that the very evolution of geometry, and the ontological status of its objects, relate to their representation in cultural forms referenced to human self-image. It is further argued that learning crucially relates to evolving mathematical or pedagogical und...
This chapter explores the increasing use of mathematical metaphors - particularly geometry and topol...
This thesis is basically an attempt to discuss the intrinsic intersubjective nature of the so-called...
This chapter is about a change in geometry education that took place in the last century. We discuss...
Following Husserl's speculations on how geometry originated, we suggest that spatial perception is s...
The idea that formal geometry derives from intuitive notions of space has appeared in many guises, m...
Spatial perception and spatial representation are not less central to experimental psychology than t...
Geometry, etymologically the “science of measuring the Earth”, is a mathematical formalization of sp...
In this thesis, I investigate the nature of geometric knowledge and its relationship to spatial int...
Mathematics in schools exists substantially as pedagogical material crafted for supposed modes of ap...
Spatial perception and spatial representation are not less central to experimental psychology than t...
In this dissertation, I investigate how humans represent space and other geometric entities. The top...
Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation a...
Unpublished manuscriptGeometry is a school subject, but also and primarily geometry is a mathematica...
How is knowledge of geometry developed and acquired? This central question in the philosophy of math...
The provision of mathematics curriculum that encourages students to develop their powers of spatial ...
This chapter explores the increasing use of mathematical metaphors - particularly geometry and topol...
This thesis is basically an attempt to discuss the intrinsic intersubjective nature of the so-called...
This chapter is about a change in geometry education that took place in the last century. We discuss...
Following Husserl's speculations on how geometry originated, we suggest that spatial perception is s...
The idea that formal geometry derives from intuitive notions of space has appeared in many guises, m...
Spatial perception and spatial representation are not less central to experimental psychology than t...
Geometry, etymologically the “science of measuring the Earth”, is a mathematical formalization of sp...
In this thesis, I investigate the nature of geometric knowledge and its relationship to spatial int...
Mathematics in schools exists substantially as pedagogical material crafted for supposed modes of ap...
Spatial perception and spatial representation are not less central to experimental psychology than t...
In this dissertation, I investigate how humans represent space and other geometric entities. The top...
Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation a...
Unpublished manuscriptGeometry is a school subject, but also and primarily geometry is a mathematica...
How is knowledge of geometry developed and acquired? This central question in the philosophy of math...
The provision of mathematics curriculum that encourages students to develop their powers of spatial ...
This chapter explores the increasing use of mathematical metaphors - particularly geometry and topol...
This thesis is basically an attempt to discuss the intrinsic intersubjective nature of the so-called...
This chapter is about a change in geometry education that took place in the last century. We discuss...