TEACHING PROOF TO STUDENTS USING EXPERIMENTAL MATHEMATICS

Аннотация

This article focuses on teaching students how to use experimental mathematics in proving mathematical proofs. Firstly, the proofs of the theorem are analyzed by experiment and as a result of the ability of intuitive thinking, it is proved analytically. In the process of training, using experiments will increase the quality of the educational system. KEYWORDS:- Experimental mathematics, proof, experiment, logic, intuition, notion, consciousness, triangle, bisector. confusion in proving that the optional element of I NTRODUCTION tokens does not perform its function properly. It is very important to follow the proof every step. Experimental mathematics is the field of Otherwise, his attachment will disappear, and he mathematics that generates a result in the can get confused at any time. It is important to support of experiments, the use of modern understand the proof in the construction,each computing machines for the verification of part of it must be in its place. Proof that has not equations. The increase in the possibilities of been taken as a whole does not prove anything. modern computing machines took an important Even if you memorize it, no knowledge is added place in the development of experimental to the knowledge that precedes it from the mathematics. All the results obtained in beginning to the end. experimental mathematics are confirmations that have a solid proof. Less time is allocated to prove mathematical laws in higher educational institutions due to the It is very important to follow the proof every fact that lecture classes are decreasing. The use step. If we understand the proof as a holistic one, of mathematical experiments to close this gap then each of its elements must perform its gives a very good result. Experiments take the function correctly in its place. This results in student's interest in the subject to a new level. It CURRENT RESEARCH JOURNAL OF PEDAGOGICSISSN 52 – 2767-3278 https://masterjournals.com/index.php/crjp CURRENT RESEARCH JOURNAL OF PEDAGOGICS 2(9): 52-56, September 2021 DOI: https://doi.org/10.37547/pedagogics-crjp-02-09-12 ISSN 2767-3278 ©2021 Master Journals Accepted 24thSeptember, 2021 & Published 29thSeptember, 2021 is widely available in computer software a feature that expresses the essence of man, packages when conducting experiments. Seeing expresses the subjective reality, the perception the expected result through the program gives a of the external environment in man, his great impetus in advancing the initial hypothesis. consciousness and his permission, the spiritual In this it is necessary to emphasize the role of world of man, his conscious understanding of his intuition. existence in the universe, his active, creative attitude to the external environment. [3] “Intuition” is as the latin word, which means "to look closely", and it is the ability to Feeling and rational knowledge of the laws understand the truth, which is not based on it of the subject's existence, its properties and with the help of solid, logical proof. Thus, relations can be a vivid example of the creative intuition is a specific concept that contradicts activity of consciousness. But the creative logic and perseverance. There are two types of process of a person, which takes place on a intuition: intuitive reasoning and intuitive conscious level, penetrates even deeper into the hypothesis. In the intuitive reasoning, which is subconscious and subconscious layers of his the first type of intuition, the obyektiv psyche. According to the scientific imagination of attachment of things and the direct view of the present time, the sphere of mental activity of reality are carried out without any solid logical a person under the subconscious mind proofs. The peculiarity of intuitive reasoning is sometimes includes sensations, imaginations that the truth realized through it is not logically that the mind does not understand. The proved, and the presence of such a proof is also subconscious sphere of consciousness embraces impossible. Intuitive reasoning, thinking consists anxious sensations on the eve of a dream of a of an action that has at once, at some point, a spiritual life, a state of hypnosis, generalizing feature. Intuition is the direct , incomprehensible desires, anxious sensations, abnormally real perception of the properties of for example, an unpleasant event in a person's the cognition object, which can not be based on it life. in a different way under certain conditions. In Intuition is the inner, the side of this creative other words, intuition is often considered to be activity, in which the unconscious component is the solution of the problem in zum because of the directed towards the generalization, unification, lack of logical grounds. General appearance understanding of the results of cognitive activity. mathematical intuition develops gradually, At the same time, it is necessary not to over depending on the mathematical experience. simplify the interaction of conscio