Methods for studying methods of data processing and transmission in computer mathematics

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Methods for studying methods of data processing and transmission in computer mathematics

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Іп the next phase of the course, learning computer skills in computer mathematics, computer-aided mathematical problem solving and exchange of ideas on the issues discussed. Therefore, this article explores the methodology of teaching about data management issues in the Database.

Key words: Computer Mathematics, Database, process, method, model.

The process of creating and operating an arbitrary Database (DB) in computer mathematics involves the execution of a series of sequential steps. The creation of the WB involves, first of all, the development of its conceptual project. In turn, conceptual design acts as the construction of an information model of the subject area of the DB. The construction of the information model of the subject area of the DB, first of all, determines the definition of the objects of the subject area of the DB, their properties.

Then, the information on the objects of the subject area, determined in the order considered, is selected in the appropriate order and described in the database. As a result, at this stage, the conceptual scheme of DB is developed. The conceptual design of DB is related to the development of its logical-information model and is presented as an infographic stage of DB design.

At the initial infographic stage of database design, the requirements set as a result of the application of the application in terms of information are identified, analyzed and an information-logical (infographic) model of the application is created. The following issues are addressed in infographic design:

1) The objects and processes of the field of application from which the information will be obtained are selected;

2) The main characteristics of these objects and processes and the relationships between them are determined;

3) Describes the concepts, characteristics and relationships included in the system about the selected object and process.

As a result of infographic design, a conceptual scheme of the database is created. At this stage, user queries are also investigated, resulting in the formation and description of external infographic models (subchapters) and their relationship to the conceptual infographic model.

It includes the selection of specific Database Management Systems (DMS) for the implementation of the Database, the definition of the logical and physical structures of the data related to the selected DMS, the choice of data communication methods, the installation of software and service software, the datological design of the DBMS. In turn, data design is carried out in three stages:

Selection of DMS, logical design and physical design. Issues related to the selected DMS are taken into account in computer memory, and the features of data organization are taken into account in physical design. In the logical design phase between the conceptual and physical design stages, a DMS-related schema of the Database is created. The following steps are considered in physical design:

1) Determining the formats of records corresponding to the files included in the DB;

2) Arrange files in memory;

3) Methods of applying to records;

4) Completeness and security of data;

5) Establishment of supply and service programs;

As can be seen from the above analysis of DB design, the main purpose of conceptual design is to develop a logical information model of the subject area. From this point of view, the concrete definition of the methodological bases of conceptual design of VB, the design of the subject area of databases as a whole, the development of a logical information model of the subject area of DB is related to the precise definition of methods and techniques.

As can be seen from the above comment, the development of a logical information model of the subject area of the DB primarily determines the subject area.

The information object of the subject area of the DB means the information to be placed in the database about any real existing object. In turn, the information object is characterized by a number of parameters. These parameters are fixed as the (main) base and (auxiliary) attribute details of the information object.

As a result, the main and auxiliary details of the information object determine its structural features. Based on the above explanation, the construction of information objects in the subject area of the DB depends primarily on the definition of functional dependence between the details.

At the next stage of construction of information objects, the details are classified and the correspondence between them is determined. In other words, the main and subgroups of the requisites are identified in the review. Finally, the sub-requisites are grouped according to the sub-attribute of the main requisites. In turn, the requisite groups form the object of information. Information objects created by this rule are described accordingly.

in the next stage of conceptual design, the construction of a logical information model in a canonical form is carried out by fixing the structural connections between the information objects identified in accordance with the above rule. After the development of a logical information model of the subject area of the DB in a canonical form, the preparation and completion of the tables of the DB is carried out.

The main directions of the formation and presentation of information were commented above. Referring to the review, let's define the methods and techniques of teaching the formation of information in information systems in the teaching of computer mathematics (TCM) according to the adopted methodological scheme.

First of all, let's examine the specificity of the didactic level. In other words, let's consider the application of problem-based learning, the research method of training, in the study of the formation of information in TCM.

The implementation of the research method applied here mainly involves the study of the methods of constructing and describing the information in the form of an information model in the database, selected in a duly defined manner.

The construction of the information considered at the design stage of the DB refers to the presentation of its logical information model. In itself, the construction of a logical-information model of the research object is the main purpose of the conceptual design of the database. It envisages the construction of a logical- information model, the implementation of structural relations between information objects in an appropriate manner, on the basis of determining the ratio between the base and auxiliary details. As can be seen from the above analysis, in the teaching of the construction of a logical information model, first of all, the complex application of methods such as comparison and analogy, abstraction is analyzed.

Here, first of all, by applying immanent comparison and analogy, an adequate correspondence between the object of a real object and its object of information is determined. At the same time, by abstracting from the existing properties and characteristics of the real object, the main parameters of the relevant information object - the base and auxiliary details are determined. Here, the construction of information objects in the subject area of the DB, and then the definition of functional dependence between the details.

As mentioned above, then the details of the information object are classified and the correspondence between them is determined, the main and sub-groups of the details are fixed, the sub-details are grouped according to the sign of subordination to the main details and, as a result, the information object is formed. A logical information model is established by fixing the structural connections between the information objects formed in this way.

As can be seen, in the case under consideration, the construction of the information object and the corresponding logical information model in a canonical form is carried out by abstracting from the real connections and relations of the subject area. It is known that an important issue in the operation of information systems is the transmission of information through telecommunications. The issue of information transmission in information systems, in turn, determines the coding of information. Thus, any information in electronic computing systems can be delivered to the user only in encrypted form. In essence, coding involves replacing a certain set of symbols with another set of symbols according to a given rule.

The coding used in the transmission of information in electronic computing systems is carried out in the binary number system. Thus, the information received by the processor from the computer's practical memory - complete, natural, real numbers, symbols - is encoded on the basis of the description in the computer memory in the form of appropriate binary codes. Coding of information in information systems is also used in the form of secret writing and cryptography.

In this case, the coded characters are repeatedly encoded by a set of characters and another set of characters. In information systems, the transmission of information, its description through coding, is interpreted as an expression of the symbolic design of the logical method of formalization. Thus, in the case of cryptography of coding, the execution of double formalization is determined.

It should be noted that the functional purpose of DMS in DB, as seen in the previous comment, involves the use of linguistic tools, especially system catalogs. In turn, the application of system catalogs in DMS is associated with the compilation of different languages and dictionaries. Thus, the system catalog, containing a dictionary of data, acts as an important structural unit of DMS.

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As can be seen, the use of formal languages in data management in DB is becoming more widespread. Based on this statement on data management in DB, we can show that formalized symbolic description of data is widely used in the teaching of the issues considered in the subject of CM, without abstraction. As can be seen, abstraction, when considered, serves as an important methodological principle in the symbolic design of formal languages, in the teaching of information processing and management in the subject of CM.

We have described above the training methods used in the study of data generation and presentation in TCM. Based on the review, let's look at the organization of the lesson in the study of topics related to the formation and presentation of data inTCM.

In this case, the organization of lessons on the analysis of teaching methods used in the study of topics related to the formation and presentation of data in the TCM is defined as follows. First of all, the purpose of the lesson is formulated as follows:

-study of methods of data formation and presentation in computer solution of mathematical problem;

-study of data management methods in computer solution of mathematical problem;

-study of data processing methods in computer solution of mathematical problems;

-study of teaching methods for data processing and management of mathematical problems in computer solutions.

The following concepts should be explained in the interpretation of teaching methods used in the study of topics related to the formation, presentation and processing of data in the computer solution of a mathematical problem in TCM:

-Database analysis;

-The concept of data generation;

-Definition of data presentation;

-Definition of data processing:

-Definition of database management systems;

The concept of database design.

In accordance with the above methodological scheme, the teaching of the subject in question, problem-based learning, research is carried out by the method of teaching. In the course of the lesson on the topic under consideration, the teacher's research explains the problem statement.

It shows that the mathematical problem posed here involves the study of methods of teaching the problems of data formation, processing and management in a computer solution, the didactic purpose of the methods of data construction, processing and management in the form of a logical information model. In turn, the construction of a logical-information model of data in the machine solution of a mathematical problem refers to the determination of structural relationships between information objects in the appropriate order, in the form of the ratio of base and auxiliary details.

computer mathematics conceptual

References

1. Molchanov N.N. «Machine methods for solving applied problems» Kiev, 1987.

2. Lapchik M.P. and etc. Teaching methodology of informatics. М., «ACADEMA», 2001

3.Okulov S.M. Programming tasks. M., 2006.

1. A.M.Mammaddov and etc. “Training of school mathematics by modeling method". Baku, 2001

2. Mekhtiev M.H. Computer in geometry lesson. - Makhachkala: izd-vo DNS RAN, 2002. -194 p.

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