Summary:
The purpose of this paper is both to explore and develop ways of generating
conjectures, involving participants in a series of real geometric situations
based on the capabilities of dynamic geometry software (Sketchpad). Secondly,
to determine whether and how these conjectures lead to the necessity of proof
construction, and if finally, this learning approach helps to improve students'
attitudes toward geometry and particularly, geometric proof.
In this paper, three first-year students of Mathematics Department and
sixteen students in first grade high school, participate in two different type
activities "open problem".
The aim of the activity focuses on the process: action- conjecture-
hypothesis,-proof / refutation, as an alternative approach to introduce
students to the geometric theory and geometric thinking.
The students experiment, explore, modify didactical designed geometrical
schemes dynamically, observe and note, what changes and what remains constant,
formulate, and reformulate refuting conjectures.
Keywords:
Dynamic environment, Open problem, Dragging, Conjecture, Proof
