This paper describes research into the framework of Computer Analysis Relationship (CAR) and its methodology together with software such as Scientific Notebook in a teaching and learning problem-solving environment to support student investigation as well as to enhance student logical thinking. CAR aims to motivate students how to subdivide a…

Discusses using Alan Bell's "Principles for the Design of Teaching" with student teachers. Discusses choosing genuine and substantial mathematical activities, exposing and resolving cognitive conflict, using flexible tasks in which the degree of challenge can be adjusted or a single starting point can develop into multiple tasks, using feedback,…

This paper discusses a pedagogical technique called the discovery approach in teaching remedial and college algebra. Examples of how to introduce and enhance some algebra topics using this approach in mathematics classrooms are illustrated. It is argued that student performance would improve if more topics were presented in a discovery fashion.…