2000 Volume 5 Number 1/2
Teaching Algebra for Procedural and Structural Ungerstanding
Beverly J. Ferrucci
Jack A. Carter
Abstract: Reviews of the research on teaching and learning algebra have been
primarily focused on procedural and structural aspects of the subject. Findings
indicate two discernible themes the accessibility of procedural over structural
interpretations and the difficulty in obtaining a structural conception of algebra.
Since the more advanced, structural paradigms are commonly evident in the
content and teaching of algebra, many students fail to achieve an adequate level of
understanding, Research studies on the integration of graphing technology within
the curriculum provide evidence that this technology can function as an intellectual
tool that enriches students’ mathematical explorations, while facilitating and
improving their mathematical understanding, problem-solving skills, and concept
development.
This report aims to resolve the inherent procedural-structural conflict
within algebra instruction by describing a didactic approach to the teaching of
algebra that minimizes the amount of symbolic manipulation by integrating
graphing technology into the curriculum. The report concludes by illustrating how
elements of algebra understanding may be developed in a systematic and
coherent way by using non-traditional and unfamiliar problem with students.