Unfortunately, geometry is one of the mathematical areas which is sometimes relegated to the background in the early years of children's primary education. However, it is essential for the proper development of students' mathematical logical thinking at this early age. Therefore, teachers must be aware of its importance and bring them closer to this knowledge in a meaningful and motivating way, trying to build a constructivist bridge that brings them closer to geometry.
A good instrument to achieve this is art, as geometry can be seen in many works of art. Consequently, many artistic resources can be used to use art as a starting point to introduce geometry in the classroom. The activities and didactic sequences that are developed on the basis of this thinking have certain objectives among which we highlight the facilitation of learning mathematics through the relationship with other experiences, the work of geometry from a motivating and meaningful point of view, offering the child diverse artistic expressions linked to geometry and showing the child the geometric properties that objects possess. In conclusion, to make geometry become something close to the students' everyday life.
Furthermore, geometry has been present in numerous works of art for hundreds of years. On the one hand, we find examples of extremely famous paintings by Leonardo da Vinci in which geometry is not visible at first glance, but upon close study, it can be clearly seen. Here is an example:
But we must not forget the concept of geometric art or geometric abstraction.
We must know that there are works in which geometry is at the centre of the creation, that this can be appreciated very clearly and that without it the work of art would probably not exist in such a way.
Geometric art, therefore, includes various creations that have taken place through the combination of geometry and colour, resulting in a rational ensemble of science, numbers and the sensitive and emotional role of art. The movement, which emerged from 1923 onwards, is based on the use of simple geometric figures that have been combined in unreal spaces with subjective compositions. It is argued that it arose as a reaction to subjectivism in an attempt to move away from the solely emotional. The first artists who began to create geometric art defended a critical discourse in which they tried to represent a three-dimensional reality that clashed strongly with the two dimensions used until then. Wassily Kandinsky is popularly considered to be the most influential master and precursor of a generation of abstract artists, which I will discuss in detail in future posts.
An example of geometric art would be the following, in which a face is represented through geometric figures.
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