Inductive Method in Mathematics-
Inductive Method in Mathematics
While using this method, the teacher presents some specific examples in front of the students and based on the broad facts of these examples, the students argue and arrive at a particular rule or principle. It leads to direct evidence. In this, students use their experience and intelligence while setting rules. This method is called the common method.
This method is particularly helpful for teaching new lessons. In this, different examples should be presented to the child so that he can generalize easily. The rules that are set should be examined. Thus, the arrival method consists of the following four stages -
(1.) Specific example
The method of arrival is used when used in a science laboratory. Students experiment while studying many macro facts and determine the general rule. Arrival in modern mathematics is an important learning process. About the importance of this method, Professor J. N. Kapoor has written -
"The creation process of mathematics is the science of the arrival process. Arrival begins with an inspection. We arrive at a possible conclusion through inspection because it is an estimate."
Through the advent logic, specific rules or principles are presented by specific examples, but arrival logic is a process and not a theory in itself. The mathematician Blaise Pascal (1623–1662) of France first gave the idea of mathematical arrival.
2. Qualities of Inductive Method-(1.) Knowledge by arrival method is important from the point of view of the child's education and development, because the child gets to practice the procedures of regularization, normalization, formulation etc. based on the inspection of specific examples.
(2.) The knowledge gained by this method is permanent and useful because it is based on the student's own observation, testing, understanding and intelligence.
(3.) By studying this method, students do not feel tired and feel patience and happiness till they reach a definite result.
(4.) This method motivates the children to act on their own and develops their decision making ability, which increases their sense of confidence.
(5.) By this method new rules of mathematics, new relationships, new conclusions, new theories, etc. can be known.
(6.) This method is particularly useful for small classes, because 'the theory from the gross to the subtle', is a psychological and practical theory. This develops confidence, competence, independent thinking and vision in the students.
(7.) In this method, the interest of children in mathematics remains and the eagerness to learn new knowledge increases.
(8.) Students are familiar with the basic principles of finding rules, formulas and relationships.
3. Limitations-(1.) The reliability of the rules or results obtained by it depends on the number of instances. The more instances a rule or result is based on, the more its credibility increases.
(2.) The rules obtained by this method are pure only to some extent.
(3.) This method cannot be used in higher classes because there are many sub-topics which are not possible from the initial facts.
(4.) In order to use this method, the teacher has to work hard and prepare and also take more time. Gathering appropriate content for direct examples is not a simple task.
(5.) Successful use of this method is possible only for experienced teachers.
(6.) Only the rule can be detected by this method. The ability to solve problems is not possible by this method.
The advent of the theory of mathematical advent is attributed to the French mathematician Blaise Pascal (1623–1662). The mathematician Françanco Morolics (1494–1575.E) of Italy applied this principle. Mathematical advent is reflected in the writings of Indian mathematician Bhaskaracharya II (1114–1185). The statement of the famous mathematician Laplace has been considered as a fruitful tool for the most important discovery in the field of 'analysis and natural philosophy', which is called Advent. G. Piano (1858–1932 AD) undertook the responsibility of expressing the statements of mathematical theorems by logical notation. He is credited with quoting the doctrine of matrimony. His piano postures are notable examples of Advent in this regard.