The Conjecturing Process: Perspectives in Theory and Implications in Practice

Abstract

In this paper we analyze different types and stages of the conjecturing process. A classification of conjectures is discussed. A variety of problems that could lead to conjectures are considered from the didactical point of view. Results from a number of research studies are used to identify and investigate a number of questions related to the theoretical background of conjecturing as well as practical implications in the learning process.

Keywords

• Conjecturing
• Theory
• Process
• Practice
• Learning
• Mathematics