[4] In 2007, he defended his thesis for the degree of Doctor of Pedagogical Sciences on the topic "Theory and practice of organizing specialized training in schools of the Russian Federation" at the Institute of Content and Methods of Education of the Russian Academy of Education[1] (official opponents A. V. Barannikov, V. I Blinov and V. S. Danyushenkov; according to the Dissernet community, the dissertation contains large-scale borrowings that are not framed as citations, including from unauthorized sources[5]).

[1] On 21 January 2020, by presidential decree he was appointed to the post of Minister of Education of the Russian Federation in Mikhail Mishustin's Cabinet.

[9] In July 2023, Kravtsov was sanctioned by the United Kingdom as a result of his role in "Russia's calculated programme of deportation" of Ukrainian children.

[11] Kravtsov is one of the architects of the Important Conversations lessons, which cover various topics from the Russian government's perspective, such as national identity, patriotism, traditional values and world events.

The Associated Press reported that some parents were shocked by the militaristic nature of Important Conversations lessons, with some comparing them to the "patriotic education" of the former Soviet Union.