The article presents methods of control and assessment of knowledge in the context of distance learning. The definition of the term "Quality control" is given. The forms of control and assessment of knowledge are given: input, current, intermediate, final, using in the conditions of distance learning in Abai KazNPU. To study each topic of the training module, it is necessary to establish didactic goals, expressed at a certain level of knowledge assimilation. In the case of distance learning, in addition to testing the student's ability to memorize and understand the material, it is necessary to analyze problem situations, synthesize solutions, and check the compatibility of theoretical material with one's own experience. In this regard, and based on the experience of methods of control and assessment of knowledge in distance learning in a number of other countries, the methods of Open-book Exam or Open paper Exam, Open paper Exam, Open book Exam, Thinking exam are classified and recommended.

This article is devoted to the analysis of methods of teaching computer science of natural and mathematical direction on the updated content, the solution of actual problems, methods and techniques aimed at the formation of students ' skills. The essence of the updated educational program is the formation of functional literacy of the child. One of the current problems is the formation of professional competence of students in grades 10-11, the formation and provision of the necessary resources for conscious improvement of the course of professional activity in practice. Today in the school learning of science and mathematics in profile classes accompanied by a number of difficulties, due to the breach of the educational-cognitive characteristics of students of different profiles, orientation of training programs to increase scientific information. In accordance with this, it is very important to conduct a comparative analysis and create a scientific and theoretical basis for the unification of computer science education. As a result, we believe that the student should use this knowledge in life. The results of teaching and learning can only be achieved if the topics studied in computer science are understandable, clear and specific to the student.

The article discusses the importance of creating training courses based on pedagogical design in the context of distance learning. The goal of pedagogical design is defined as an integrated approach to creating an educational environment and developing an educational process with the aim of flexible change and adaptation of a unified system based on educational data, methods of communication with students, educational material that meets the needs of students. When developing distance learning courses, it is necessary to design the following stages of pedagogical design: Analysis of the target group; Description of educational goals as learning outcomes (Rubricator), Determination of the content, complexity and consistency of educational material, Development of educational content, Teaching students, preparing cases; Selection of diagnostic and evaluation systems (preparation of control and measuring materials), Choice of methods of interaction and participation of students (individual, group work, etc.), Resource planning (technical, digital). Based on a common online course design model, it is suggested to plan distance-learning courses based on pedagogical design.