In the era of the fourth industrial revolution – Industry 4.0 – developing key competences (digital, multilingual and mathematical competences in particular) is of paramount importance. The purpose of this work is to investigate the content of key competences of a secondary school student and to develop a method of teaching for the integrated development of multilingual and mathematical competences in the process of teaching Programming Basics with the help of distant technologies. The objectives of the research include generalizing and systematizing theoretical data on the structure and the content of key competences and the potential of informatics lessons for the development of separate components of multilingual and mathematical competences; generalizing and systematizing theoretical data on the ways of arranging distant support for informatics learning, Programming Basics in particular; to investigate the content and the methods of teaching Programming Basics in 7th-11th grades; to develop the e-learning Moodle course using Python for Programming Basics on the principles of integrated approach to developing separate components of multilingual and mathematical competence with determining some methodical special features while using it. The object of the study is to teach informatics to junior high school and high school students. The subject of the study is the means and the methods of realizing distant support in the process of teaching Programming Basics using Python on the principles of an integrated approach to developing multilingual and mathematical competences.

In the article are reviewed the questions of expedient using SageMathCloud environment, as an integrator of services that can be used during different kinds of learning activities.Research goals: identify the structural elements of the SageMathCloud environment, that it is appropriate to use the in learning informatics and mathematical disciplines.Research objectives: consider the structure of the kernel of SageMathCloud environment; highlight the structural elements, that can be used in learning informatics and mathematical disciplines and explore the possibility of their use.Object of research: computer oriented study of informatics and mathematical disciplines.Subject of research: use structural elements of the SageMathCloud environment in learning informatics and mathematical disciplines.Research methods used: analysis of SageMathCloud environment, comparison of the structural elements of the environment and their generalization according to informatics and mathematical disciplines. In the work analyzed, generalization and systematization of the major structural elements of the cluster SageMathCloud, reviewed the characteristics of items that can be used in the study informatics and mathematical disciplines.Results of the research will be used for improve methods of computer based learning of informatics and mathematical disciplines.

У статті окреслено критерії вибору хмаро орієнтованої платформи для опанування основ квантової інформатики учнями профільної (старшої) школи: кросбраузерність; інтуїтивно зрозумілий інтерфейс; можливість вільного (безоплатного) доступу; доступ без реєстрації та спрощена реєстрація; наявність систематизованої довідкової системи з прикладами;  підтримка розвитку середовища розробником;  підтримка роботи у персональному освітньому середовищі; підтримка роботи з квантовими алгоритмами у графічному режимі; автоматичне конвертування квантових алгоритмів з графічного формату у текст програмного коду; підтримка україномовної локалізації; наявність мобільного застосунку; адаптивний дизайн. Проаналізовані можливості платформ для реалізації квантових алгоритмів від компаній: Microsoft, QuTech, Amazon Braket, IBM. Обґрунтовано вибір хмаро орієнтованої платформи IBM Quantum. Описано роботу в IBM Quantum Composer та IBM Quantum Lab. Представлено інформацію про квантові операції та гейти: позначення їх в IBM Quantum Composer та IBM Quantum Lab; матрицю гейта; призначення гейта. Наведено приклад реалізації квантової телепортації у вигляді схеми та програми.

The article defines the criteria for choosing a cloud-based platform for mastering the basics of quantum informatics by students of a specialized (high) schools: cross-browser; intuitive interface; the possibility of free access; access without registration and simplified registration; the presence of a systematized reference system with examples; support for the development of the environment by the developer; support for working in a personal educational environment; support for working with quantum algorithms in graphical mode; automatic conversion of quantum algorithms from graphic format to program code text; support for the Ukrainian-language localization; availability of a mobile application; responsive design. The possibilities of platforms for implementing quantum algorithms from the following companies are analyzed: Microsoft, QuTech, Amazon Braket, IBM. The choice of the IBM Quantum cloud-based platform is justified. Work at IBM Quantum Composer and IBM Quantum Lab is described. Information about quantum operations and gates is presented: their designation in IBM Quantum Composer and IBM Quantum Lab, the gate matrix, and the purpose of the gate. An example of implementing quantum teleportation in the form of a circuit and program is given.

The aim of this study is perform a comparative analysis and justify the expediency of the use in teaching CoCalc. Objectives of the study is compare Web-access to CoCalc and commercial SCM to analyze suitability for use in the educational process CoCalc and commercial systems SCM, the example of some commercial SCM (MathCAD and Maple) to consider the disadvantages of their use to reveal the contents of components CoCalc. The object of research is the process of using cloud environment CoCalc in pedagogical education institution. The subject of research is means of environment CoCalc. The paper considers the problem of the use of environment CoCalc and commercial of computer mathematics. The historical overview of the cloud environment are its basic components that can be used in the educational process teaching high school. A comparative analysis CoCalc and commercial SCM criteria for mobility, life learning, chargeless. Results of the study is the advantages of the use of cloud environment CoCalc in the learning process.