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Mathematical Thinking

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He thought is what exists through intellectual activity . Its about product of the mind born of the rational processes of the intellect or the abstractions of the imagination.

The analysis, comparison, generalization, synthesis and abstraction are some of the operations linked to thinking, which determines and is reflected in the language . It is possible to distinguish between various types of thinking, such as analytical thinking (which separates the whole into different parts), the critical thinking (assess knowledge) or systematic thinking (a vision that encompasses multiple elements with their different interrelationships).

In this case we are interested in Mathematical Thinking , which consists of systematization and contextualization of knowledge of mathematics . This type of thinking develops from knowing the origin and evolution of concepts and tools that belong to the mathematical field.

When developing this thought, the subject reaches a more complete mathematical formation that allows him to have an important body of knowledge that will be useful to reach the results.

Mathematical thinking, therefore, includes knowing how a concept or technique has been formed. In this way, the person Know their inherent difficulties and discover how to exploit their use properly.

As subject , mathematical thinking includes the study of concepts, techniques and algorithms in force at each historical moment . This does not imply, however, evaluate the mathematical achievements and discoveries of antiquity from current knowledge.

Although mathematical thinking is closely related to the ability to think and work in numerical terms using the reasoning Logically, this type of intelligence transcends the field of mathematics and collaborates with our ability to understand concepts of another nature and to relate them based on organized schemes and techniques. It is through mathematical thinking that we can convert calculations, hypotheses, quantifications and propositions into a natural resource of our brain.

Unlike what many people believe, all people have the possibility of developing this type of thinking, and the resulting capacities depend on the degree of stimulation that each one receives. Intelligence can and should be trained; only through constant effort and determination is it possible to obtain important results.

Among the benefits granted by mathematical thinking are the following points:

* promotes the ability to solve problems in various areas of life through the formulation of hypotheses and the preparation of predictions;

* encourages reasoning about objectives and methods to follow to reach them;

* it allows to relate concepts that, in appearance, are distant from each other, which opens the doors to a deeper understanding;

* it awakens the need to order and analyze the acts and decisions that are made daily, improving the overall performance.

As in all cases, the earlier in life you begin to stimulate mathematical thinking in a person, the greater your developing intellectual and more natural it will be to apply this kind of logical intelligence in your day to day. However, it is necessary to point out that it is not possible to expose children to these concepts without moderation, but that teaching should be according to age and, not least, to the characteristics of each individual. Also, it should not be forgotten that one learns better when education is a diversion than when it is imposed.

Some of the methods that are often used when working with very young children include activities that focus on the manipulation of various objects, to identify, compare and classify. It is also very beneficial to gradually introduce a series of physical and chemical concepts that they can notice in their daily lives, helping them to study their effects in the environment.

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