The formation of intellectual skills and readiness for their application by students are determined by the priorities of critical thinking as a norm of structure's quality of intellectual activity culture values: flexibility of thinking; perseverance in achieving results; awareness of cognition process; readiness of the student for planning his own educational and cognitive activity; self-correction; search for compromise solutions. The article reveals the socio-pedagogical characteristics of personality thinking types; the structure and content of critical thinking priorities as a norm of structure's quality of intellectual activity culture values of students in the educational process of the university are defined. The paper proves the practical importance of the algorithm for critical thinking priorities' formation in the structure of intellectual activity culture values in the educational process of the university that meet the criteria of "mastering knowledge," "comprehending knowledge," "application," "analysis," "generalization," "evaluation."