Mathematics and its progressions
Mathematics is an area that is responsible for representing, comparing various concepts, in each place space in its diverse forms as well as variations and relationships, which occur between the elements. Mathematics is a fundamental part of people’s cognitive advancement, it gives them skills to be methodical, to deduce and have different skills. Hence the importance of studying mathematics as science, to strengthen the skills of mathematical logical reasoning through analysis and criticism. A change of mentality is necessary to identify the value of studying mathematics as science. All this creates in people a responsible and convenient disposition to begin actions that lead to the solution of the problems that are faced every day; As an area of science has evidenced how the analysis element is achieved from the formation of the variety of orientations, models, achievements and relationships of other elements that make up the didactic experience. Institutions can no longer be understood without the knowledge of mathematics, “there is a secret world out there. A hidden, parallel, beauty and elegance universe, intricately connected to ours. It is the world of mathematics. And most of us are invisible to us ”(Frenkel, 2013, P.4) Therefore, it is intended to answer the following question. Why is the study of mathematics as science in everyday life, to strengthen the skills of mathematical logical thinking through analysis, criticism and reasoning is considered significant? It is worth highlighting the "pure mathematics are, in their form, the poetry of logical ideas" (Einstein, s. F.)
In a historical context as at present, mathematics are part of a knowledge or knowledge that people distinguishing their age agree that they are prepared to consider and understand them according to the development stage in which they are. Therefore, it is essential to recognize the importance of mathematics as a science in everyday. This leads to an excellent performance in the study of mathematics and at the same time develop attitudes values and customs that will be necessary for a lifetime in the different activities that they carry out both personally, academic, social and professional and professional that in the work aspect.
From the beginning of civilization mathematics resides everywhere both in the historical and social aspect, since they constitute an important element in the culture and knowledge of people for which each one must be able to value with great validity since these are always present in the different curricula of nurseries, schools, schools and universities around the world as well. It is unquestionable that in the different society in the different environments and environments, a better management of mathematical concepts and skills are required than those that in a past time since in all information that is treated, graphics, schemes, methods, techniques, techniques arise, Frequencies, values that request precise and rigorous concepts for a better understanding, this is how mathematics show particularities which corresponds to highlight to understand them and be aware to know them since they have always been considered as universal language. Therefore, it must be understood as a space to conceive questions, problems acquire results and differentiate combinations that favor the interpretation of the process of phenomena and events shown in solutions so they have the priority to develop the competences for the trial, the observation, inquiry, perfecting the mathematical skills of each person regarding the understanding of other knowledge.
In spite of all many consider that mathematics is guided through different direct methods to abstraction and these in turn do not correspond to the everyday of people or to the context of each of the students, and argue that they are useless Since they fail to capture or perceive the perfection of this branch or science, an example of this is music that is pure mathematics. However, creating, mathematics leads you to acquire skills in solving problems, finding attempts, new experiences, of demonstrations, solving exact expressions with some clarity and an assimilation of new mathematical knowledge in specific contexts. It is important that the teaching-learning process of mathematics is claimed in the life of man and in society since mathematics has a formative character because they help the intellectual improvement of the student, improving some skills such as contemplation, dissemination, Reflection, logic but in turn has indispensable application tools to allow the study and research of statistics, geometry, chance, symmetrical, the numerical system immersed in the daily life of a context in constant change and progress and more technological.
However, it makes the great difficulties that exist for the teaching and learning of mathematics, which generally translate into the low yields of the students, the general disinterest and apathy by the area because they are considered objectively difficult since They based on abstraction, this makes it a complex and difficult subject to learn by complicating their learning from students since they require systematic and successive operations that are made through an exact statement that does not allow setbacks or mistakes where the procedure and demonstration They have more value than the same result.
The main problem is that in our schools we do not teach students what mathematics really or what they are for, instead we make them memorize procedures and calculations that appear before them devoid of any meaning. Mathematics becomes a cold, boring, lifeless and irrelevant subject. And what is worse, many of us have suffered traumatic experiences in our kind of mathematics of children, such as being ashamed by a teacher in front of the whole class for having given an incorrect solution. These memories remain with us even if we are not aware of it. And this creates fear of mathematics. (Frenkel, 2015).
Finally, it is worth highlighting when the great physicist Albert Einstein clearly compares education as a final result that is when it has been left aside what has been studied within the classroom, simultaneously when mathematics is transmitted properly in everyday life in everyday life Interest in better primordial knowledge for people with an extraordinary social good is reflected. With all this mathematics every day favor the complete progress of the student and the acquisition of new dispositions of thought, and skills for analysis and discernment. To achieve to transfer mathematical operations, the use of various pedagogical resources that agree to the rules established by mathematical sciences is necessary: to innovate, ranking, approveing the concepts, so they must facilitate the development of students’ thinking with a look critic so that it was evaluated to analyze and make reflective judgments in the face of the new situations that are presented to it.
In short, studying and learning mathematics changes the mentality of people for everything, at the same time makes them more free, strong to avoid manipulation, leads them to perceive and understand the context, their nature and the world in which they move or they find each other; While obeying the management of topics especially through class teachers, study plans, ways to evaluate and other various aspects that concern the educational environment and socio -cultural context being fundamental in their lives. It is necessary that in the various methodologies for the teaching of mathematics a dialogue and information founded in a social relationship is present so that students have the opportunities to comment, raise their thoughts, ideas, and not be neutral, indifferent and passive receivers Of information, this leads to being the first step to include argumentation, demonstration in mathematics classes based on a natural reflection with statements, frequent expressions that favor demonstrating reality in an idea or in turn to value, deny with the Great power of conviction and trust.
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