FABIO GONCALVES TEIXEIRA

This work presents the HyperCAL3D, an application to support the teaching and learning process of Descriptive Geometry through the study of solid objects. The methodology used for its implementation and the main features of the application are described. A selection of concepts was carried out to determine the functional structure of the software should have. From this, the main features were modeled through processes of vector geometry equivalent to that used in Descriptive Geometry. The main features introduced include: the projection process, the representation of hidden lines in three-dimensional model and the projections, successive auxiliary views in real time, and the intersection process. All these tools are implemented in an application that aids the learning process of the students and the teaching procedures of professors.

This work present axonometric and orthographic views to learning of Descriptive Geometry concepts. Axonometric views are a good way to show the utility of successive auxiliary views because they present the process and promote the 3D comprehension of objects. The paper proposes ways to build axonometric projections from any point of view by Descriptive Geometry tools. Besides, the use of the principal views enhances the understanding of successive auxiliary views, but in a more complex context where the student must choose directions to find the correct projections. Through these directions, you can choose the sequence of auxiliary planes that result in orthographic views. This work shows how two unusual concepts in the Descriptive Geometry education context can promote a better understanding of many of its contents.

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