Abstract:

As part of the mathematical contents that students should encounter at secondary school level, algebra, by its very nature involves significant difficulty. As a result, at the end of this stage of their education, students have acquired an ability to solve mechanical processes of greater or lesser complexity, but the goal of developing formal and abstract thinking is not usually achieved in a satisfactory way. The knowledge gaps created have a direct impact in later studies and in the integral algebraic training of individuals.
The proposal here developed, shows the difficulties that our students have and those aspects of teaching algebra that we should not forget. Based on this, we design some classroom activities, which are put forward to implement the following objectives:The student discovers the need for algebraic language and the need to define operations that allow us to model and solve real-life situations. The student to discover the importance of algebra as a tool of their own mathematics and other sciences. To change the vision of which the teaching algebra in secondary education is a set of mechanical processes of greater or lesser complexity.

We present different classroom activities that are classified in four sets:

1. Why do we need the algebra?
2. Algebra and arithmetic: advantages and disadvantages.
3. Algebra and geometry.
4. Algebra and sciences.

Keywords:

innovation, research projects.