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SCIENCE AND EDUCATION IN THE MODERN WORLD



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SCIENCE AND EDUCATION IN THE MODERN WORLD: 
CHALLENGES OF THE XXI CENTURY"
 
ASTANA, KAZAKHSTAN, FEBRUARY 2023 
42 
METHODS OF TEACHING THE THEORY OF PROBABILITY WITHIN THE 
UPDATED CONTENT OF EDUCATION 
 
Junusbekova Yerkenaz Yerlankyzy 
graduate student of Faculty of Natural Sciences and Mathematics of Shakarim University 
Thesis advisor - Zholymbayev Oraltay 
Semey, Kazakhstan 
Resume: 
This article`s aim is to examine the role of the probability theory within the 
updated education program.The updating progress of the education system and its system is still 
ongoing. A particular feature of this is its concentration on the formation of not only discipline 
comprehension and expertise, but also an all-round range of mastery: practical and ingenious 
implementation of apprehension, conceptualizing.Moreover, the questions of teaching elements 
of probability and issues in our country are considered. 
Key words: 
theory of probability, updated education content, mathematical usage
 
Introduction 
There are unique educational and scientific requirements for each stage of development. 
One of the perennial concerns that it will always arise because of how quickly science advances 
and how many different ways there are to describe events,which in their order questions about 
changes in educational content and techniques are continually being developed. 
The curriculum for schools should be updated in line with advancements in science and 
technology to provide space for the emergence of viewpoints and ideas from other perspectives. 
These days, it is stated that the stochastic line is helpful and that is why it is taught in 
mathematics classes. The need for the learned skills is based on the potential for their immediate 
use when studying other subjects. 
Today, one of the greatest pressing issues in mathematics teaching methodology is the 
incorporation of a probabilistic-statistical model into the school program, which can connect 
students with the concept of random events commencing at a very young age, they acquire the 
ability, which can lead to saving and ideas systematization about the properties of situations 
similar in their surroundings. The latter might be termed as stochastic in nature. 
It is absolutely essential to strengthen that when researching probability theory, students 
obtain concentration, perseverance, dedication, observation, and strategic thinking. All of these 
are integral to their intellectual development. 
Learning mathematics encompasses specific responsibilities for increasingly diverse 
student target groups, which is also correlated to probability theory. At some of the most 
fundamental and profound level, it is critical to provide pupils with broad understanding and 
insight so they are able to interrogate the material that the media presents.
 
The second overarching goal is to proficiently acknowledge the law of big numbers and 
its role in the mathematical study of variable phenomena. All of these goals are supplanted on a 
more precise level by the requirement to teach students the elements of stochastic optimization in 
streamlined random trials related to particular immersed by the occurrence of explicit social and 
economic trends. Furthermore, adopting algebraic school methods and technologies, it is 
possible to justify and developmentally assert probabilistic hypotheses. 
The following are the fundamental imperatives of teaching probability theory and 
mathematical statistics: 
- Having to teach probability theory and mathematical statistics by cultivating and perusing 
stochastic models that adequately describe real-world situations. 




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