The article is focused is on the features of the concept of modern education and the formation of competencies in students of higher education institutions. The specifics of training a future specialist in accordance with the challenges of society are analyzed. The necessity of developing critical thinking and media literacy in general is substantiated. The relevance of the functioning of Ukrainian media literacy projects is outlined. Emphasis is placed on the positive experience of implementation of the selective discipline “Information Media Literacy” for students of pedagogical specialties at Ternopil Volodymyr Hnatiuk National Pedagogical University. We highlighted the competencies that are formed in the process of learning the elective course “Infomedia Literacy” for higher education students in the specialties of “Primary Education”, “Psychology”, “Geography”. A detailed description of the lesson on the topic “Verification of online content” is presented. The purpose of the lesson is to carry out a reasoned critical review of multimedia content, verify the authenticity of images, and identify manipulative materials. We substantiated the necessity of the use of critical thinking and analysis of media content on the subject of stereotyping, discrimination, hate speech in the course of the lesson “Hate speech in the media”. Effective pedagogical activities aiming at formation of media immunity of future specialists are illustrated.