Abstract
<jats:p>This article is dedicated to analyzing the impact of digital technologies on the process of learning mathematics. Based on the author's proposed four-component typology of digital tools – Black Box systems, Digital Workbooks, Intelligent Tutoring Systems (ITS), and AI-based Systems – their pedagogical effects and associated cognitive risks are examined. It is shown that digital tools effectively develop procedural and algorithmic skills, provide rapid feedback, and support individualized learning. However, their uncontrolled application can lead to the displacement of analytical and creative components of mathematical thinking, the formation of superficial, instrumental motivation, and dependence on automated solutions. Particular attention is paid to the risks associated with AI systems, which, while possessing the potential for dialogic support and analysis of reasoning, can simultaneously foster the passive assimilation of ready-made solutions and diminish student autonomy. The article emphasizes the necessity of thoughtful didactic integration of digital technologies into the educational process, where they serve not as a replacement but as a means of enhancing intellectual activity, thereby ensuring the development of full-fledged mathematical thinking, encompassing the capacity for analysis, reasoning, and creative inquiry.</jats:p>