Currently, in teaching mathematics and computer science to future teachers, there is an imbalance between the fundamentalization of their training and the rapid, insufficiently thought-out introduction of digital technologies into training. Imbalance was especially clearly manifested during the COVID-19 pandemic due to the lack of a clear and well-thought-out procedure for adapting trainees to the digital learning format. This article describes the leading role of the transdisciplinary approach in overcoming this imbalance, which is based on the study of such modern scientific fields as discrete mathematics, information theory, fuzzy set theory, big data and artificial intelligence. The importance of such transdisciplinary scientific fields for overcoming the emerging imbalance in education is also manifested in the fact that they allow the principle of a harmonious combination of fundamental and informational components of training to be implemented in the training of future teachers. Therefore, transdisciplinary scientific fields are crucial in raising the level of professional culture of future teachers, which is important for the implementation of multi-sided ties between all participants in the educational process.