The establishment of scientific foundations for the integration of information technologies and innovative educational processes in student learning activities entails the necessity of creating a basis for transitioning from information processes to information technologies. The research aims to study the effectiveness of innovative information technologies in higher education and assess student involvement in using innovative information technologies. The study relies on the experimental survey method to assess respondents’ involvement in the use of innovative information technologies. In addition, the modeling method was used to increase students’ motivation to study through visualization and other modern technologies. A training program based on visualization and innovative information technologies aimed to study their impact on the teaching process in higher education was developed. The study results show that visualization technologies improve students’ intrinsic motivation to learn. The practical significance and further research prospects are due to the possibility of applying the training program developed in the study in higher education. The program can also become the basis for developing new training programs to study other subjects as it is not tied to studying a certain discipline and requires only computer skills.

Mathematical literacy and knowledge play a significant role in the formation of competencies. The purpose of the study is to determine the levels of mathematical literacy and their dependence on the type of thinking and the level of creative abilities in a distance learning environment. The research objectives are as follows: assess thinking (by type) and creativity; assess mathematical literacy; and determine the relationship between the level of mathematical literacy and thinking/creativity indicators. In line with this, it was established that the ratio of the spread in the values of the dependence of mathematical literacy on the basic forms of thinking (objective, symbolic, sign) is high. In practice, the study findings can become a starting point for further research in the field of critical thinking or may be applied during the development of mathematics training courses for students.   Keywords: correlation analysis; creativity; mathematical literacy; regression analysis; school; thinking skills.