Topic Study Group 12:
Research and Development in the Teaching and
Learning of Geometry
Aims and Focus
The Group is concerned with the teaching and learning of geometry
from pre-school through college and university teaching, including any type of
geometry, like a non-Euclidean geometry, for example. The Group will incorporate short presentations
on, and discussions of, important new trends and developments in research or
practice, providing an overview of the current state-of-the-art in geometry
teaching and learning, and expositions of outstanding recent contributions to
it, as seen from international perspectives.
Though any proposals of relevance to the general focus of the group will be considered, we will be particularly interested in theoretical, empirical, or developmental papers related to the following themes:
á Curriculum studies and new curriculum implementation.
á Geometry education and the Òreal worldÓ: geometrisation and applications.
á Instrumentation: artefacts, such as computers, and the way they are used.
á Explanation, argumentation and proof in geometry education.
á Spatial abilities and geometric reasoning about two-dimensional and three-dimensional shapes.
á Teacher preparation in geometry education.
The issues raised will be considered from the following points of view: historical and epistemological, cognitive and semiotic, educational related to studentsÕ difficulties and related to the design of teaching and curricula.