Nauki/5.Sovremennye pedagogical methods of teaching

 

Ryschanova S.M.

Kostanai State University. A.Baitursynov, Kazakhstan

On the question of improving the students' independent work in mathematics in engineering specialties

 

           Effective organization of independent work can not only create the conditions for improving the quality of teaching mathematics, but also for the development of professionally significant qualities of the personality, creativity, independence and activity, ie promote the development of professional competence.

            In recent years, intensive development of new approaches and mathematical methods based on probability theory and mathematical statistics. Is the development of mathematical tools such applied disciplines such as reliability and repair of machinery, equipment maintenance, collection, recording and processing of statistical analysis of data characterizing the operation of real systems technology in order to develop measures to improve their efficiency and quality.

Knowledge in mathematics will be more conscious and more durable assimilated by students in the learning process when applied to the problem professionally - directed content.

         In reliability theory, mathematical statistics and probability theory as applied to establish the laws of failures, and to calculate the behavior of the object in the operation, that is, forecasting. All that a person does not do it seeks reliable, but as the ancients said, "Nothing lasts forever." Create a completely trouble-free and extremely durable machine is impossible, so the reliability of the science of developing methods to ensure a minimum expenditure of time and resources required durability and reliability of the objects. The collection, processing and analysis of information on the reliability associated with the need to study random events.

         The question of how to implement interdisciplinary connections - this is one aspect of the general problem of improving teaching methods. Outlining the new training material, you can play the necessary information from another object. This activates the perception of new knowledge by students, reveals the relationship between objects, shows the need for their use.

Students on practical training in the discipline "Probabilistic Methods in Engineering - engineering calculations" are learning to point and interval estimation of the parameters of the distribution. Interval estimates allow to establish the accuracy and reliability of the estimates, ie allow to find what errors may change the values ​​of the theoretical parameters of statistical evaluation. Usually reliability assessment is given in advance, and as the number of a take close to unity.

         Application jobs in engineering and technical content enhances the level of mastery of the material, increasing interest in the study of this subject.

         The use of statistical analysis to the phenomenon should not be reduced to a mathematical calculations. The student should clearly understand what options  , communication patterns, he must establish by the experimental data. Statistical treatment should help to address these issues. The results of statistical analysis are the average character. Therefore, special importance is the ability to give a probabilistic assessment of the result and need to know that a certain reliability of the output is determined solely by its usefulness in practice.

         The challenge for the future of Mechanical Engineers Pulling resistance depends on the depth of the cultivator tines stroke and other components of the resistance. An experiment in which the traction resistance was measured simultaneously cultivator (Y kg) and the depth of stroke clutches (X cm). It is necessary to determine the shape and the closeness of the relationship between attributes.

         The task of establishing forms of communication between the features of a very complicated and its solution is necessary to conduct three types of analysis: tabular, graphical and logical. After finding the equation of communication or the regression equation Y on X determine the degree of influence on a productive factor variable. This problem is solved by means of various indicators closeness of the connection and the need to assess the relevance and reliability of the resulting correlation coefficient.

Future of Energy determine the dependence of the cost of the suspension of the cross-section.

         The basis for solving problems with a computer are the mathematical model of the designed systems and their components. The task of the student is the study of mathematical models, analysis and identification of the influence of various parameters on the process.

         The optimization process is based on the whole engineering activities as engineering problem lies in the fact that on the one hand, to design new efficient and less expensive technical systems and, on the other hand, to develop techniques to improve the quality of the existing systems.

         The analysis, conducted on the basis of numerical calculations, is the basis of any engineering activity. Students of energy perform course work for the calculation of water consumption for a given settlement (business or farm) to the preparation of the program. At the end of the required findings and suggestions for saving water, given the economic efficiency of the payments received. Discipline "Hydraulics" studied and students have sufficient knowledge to do the job.

Use a variety of tasks to be done on the computer makes learning math meets all the requirements of education, created in the format of the competency approach.

          Dominant and organizing role of the teacher in the management of students' independent work does not rule out active work of the student, as otherwise it will be broken by one of the most important principles of the learning process - its communicative orientation to pedagogy of cooperation, in which the teacher and the student are equal partners in dialogue. T.e.osuschestvlenie interdisciplinary connections is one of the ways to improve teaching methods.

References:

1. Pedagogy and Psychology of Higher Education, edited by SI Samygin, Rostov-on-Don "Phoenix", 1998.

2. Yanushkevich F. technology studies in higher obrazovaniya.-M., 1984