For a long time, the primary approach to assessment was the normative approach when the individual achievements of students were compared with a particular norm (the results of most students). Recently, domestic pedagogical research has been developing a criteria-based approach to assessing academic achievement when students' achievements are compared with the amount of knowledge that needs to be acquired at a particular stage of training. This study aimed to determine the role of criteria-based assessment in the formation of students functional literacy in computer science and to build a criteria-based assessment model in the development of functional literacy beyond to demonstrate the effectiveness of the methods of formation of students functional literacy in computer science. The leading research methods were the criteria-based assessment methodology developed by the authors and the method of formative assessment. Some elements of the methodology of forming evaluation were considered. For further development of the methods for the formation of students functional literacy in computer science, a criteria-based assessment model has been built. The introduction of criteria-based assessment will allow to switch to a formative evaluation aimed at developing student competence. The evaluation, consisting of criteria that a student understands, stimulates him and makes the learning process meaningful. Based on practical experiments and the proposed criteria-based assessment, the effectiveness of methods for the formation of students functional literacy in computer science has been proved.

The purpose of this study was to justify of the formation technique of representation of modeling methodology at computer science lessons. The necessity of studying computer modeling is that the current trends of strengthening of general education and worldview functions of computer science define the necessity of additional research of the problems relating to study of computer modeling bases within the basic course of computer science. Such necessity is caused by that "Mathematics and Computer Science" education range is a backbone line of the course. Consideration of modeling issues within computer science course is the basis of cogitative operations development called in pedagogies as methods of mental actions or intellectual abilities. But at schools and in pedagogical higher education institutions of Republic of Kazakhstan this section of computer science course is not considered properly. The issues related to a formation technique of basic concepts of modeling, and also usage of applied software environments for development and research of models except an Excel editor are not developed. Practically there are no techniques creating a broad view on concept of model, there is no methodically acceptable models' typology. The research results indicate that when disclosing the material on themes about modeling stages the process is should be considered as cyclic, there is need of interpretation of models' relevance concept, "undelivered", "vital" tasks are should be considered, which fully reflect intersubject links.

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In the article, the process of digitalization in the system of professional development of teachers is discussed. Based on a thematic analysis, such approaches as modeling, authentic learning, metacognition and collaboration were identified. The approaches offer ways to provide teachers with digital competence and educate them in ICT application as new opportunities and prospects for continuing education. Positive changes in the system of professional development of teachers in Kazakhstan based on the use of various sources of information have significant outcomes in terms of computer skill development, and in influencing teachers' attitude to their learning behavior.