Research Perspectives on the Teaching and Learning of Algebra
Martinez, Mara V.
- A qualifying paper submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics Education. Abstract: In this paper I will discuss different approaches to algebra adopted by researchers studying teaching and learning of algebra in the last thirty years (1977-2006). For each study reviewed in this paper, the goals are: to identify the central aspects of ... read morealgebra (for example, algebra as the study of functions or algebra as the study of equation-solving), the mathematical problems researchers propose to use for teaching algebra and for evaluating learning, the used theoretical concepts, and main findings. In addition, I will provide a brief history of the evolution of the field of research on the teaching and learning of algebra, will discuss notions such as the role of equation solving techniques versus meaning making in the teaching and learning of algebra, the relation between arithmetic and algebra, algebra as a modeling tool, and the relation between algebra and proof.read less