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Документ Diagnostic Apparatus of Researching the Results of Preparing Teachers to Use Virtual Visibility Tools in Professional Activities(Uzhhorod National University, 2023) Mulesa Pavlo Pavlovych; Semenikhina Olena Volodymyrivna; Yurchenko Artem Oleksandrovych; Мулеса Павло Павлович; Семеніхіна Олена Володимирівна; Юрченко Артем ОлександровичTo define the pedagogical system effectiveness, it is necessary to develop the criteria and indicators of its effectiveness and characterize the learning subjects by levels. The article aim: to develop criteria and indicators for teachers' readiness to use virtual visualization tools in professional activities. Theoretical analysis of scientific sources was used to clarify the possible diagnostic apparatus of the study, generalization of scientific approaches to define essential criteria and indicators, structural and logical analysis of the concept of "teacher's readiness to use the tools of virtual visibility in professional activities" to clarify the links between the components of readiness, the criteria and indicators of their formation, comparison for characterization teacher's readiness levels to use virtual visibility tools in professional activities. To determine the effectiveness of the system of training future teachers of mathematics and computer science to use the means of virtual visibility in professional activities, the criteria and indicators have been developed: value-orientation criterion (indicator – value orientations on virtual visibility use in professional activities); cognitive criterion (indicator – digital awareness in virtual visual aids); technological criterion (indicator – skill use virtual visualization tools to create didactic materials); professional activity criterion (indicators - the ability to develop lessons using tools; the ability to critically evaluate the means of virtual visibility, involving the needs of the educational activities organization); personal criterion (indicators – the ability to critical analysis, self-education, reflection). The developed diagnostic apparatus allows to empirically confirm the effectiveness of the developed pedagogical system for training of future mathematics and computer science teachers to use virtual visibility in professional activities.