There are transformations in the educational field that are necessary in the teaching of mathematics and that can be made so that students can develop an approach to mathematics where they can adopt the learning of mathematics by associating it with real life problems.
It is necessary to build a relationship between mathematical learning, educational systems and society, so that the transforming factors involved in this process can happen in parallel adaptations that provide new lines of research where we leave behind that way of studying purely mathematical, and evolve towards new ways where traditional mathematical learning can relate the theorems and mathematical axioms to the changing and constant reality of the life of a society that requires educational transformations that can meet their common needs.
It is necessary to understand these transformations as an integral way of dragging all possible knowledge for the strengthening of students' learning, for which science and technology must be involved in the transformation process, since mathematics alone cannot transform knowledge as the union of all the knowledge that makes mathematics a powerful tool for the solution of the problems of men and women of today's world can.
The purpose of transformation must generate a meeting of knowledge, for this a broad and interdisciplinary study can allow mathematical knowledge to make each student a faculty to cultivate experiences that go beyond even the mathematical, which can promote culture, art and above all a broad participation of research to solve everyday problems ranging from the most complex to situations that promote research in other branches of knowledge.
If we promote a transformation that involves productivity and innovation, it is because it is intended to link mathematics with all those processes that promote the economic and productive apparatus of a nation, for example in the case of my country Venezuela the productive apparatus that promotes commercial activities is oil production, then in the teaching of mathematics. All the topics involved can be taught promoting the teaching of a mathematics applied to the oil economy and that has a vision of sustainability in the exploitation of the resource, knowing that mathematics can allow within its teaching all the principles that favor the sustainability of men and women on our planet.