1997 Volume 2 Number 1
Relational Understandings In Geometry: Implications From Study Of
Interactions Between Knowledge Activation And Use
Mohan Chinnappan
Abstract: A principal requirement for students tackling plane geometry problems is to be
able to work on the given figure(s) in ways that would help them get closer to the
solution. In order to make satisfactory progress at this stage of the solution
process, students need to access and use prior geometrical knowledge effectively.
The effectiveness with which students are able to utilize their prior knowledge,
largely depends on the quality of knowledge that they have developed as a
consequence of learning experiences provided by teachers and other agents. In
this paper. I draw upon a model of geometry knowledge development and
highlight features of geometry knowledge that could assist students handle the
early phase of diagram analysis that is critical for further progress in a problem-
solving situation. The paper also provides suggestions for improving students’
geometry knowledge base.