Inquiry activities in a classroom: extra-logical processes of illumination vs logical process of deductive and inductive reasoning. A case study

摘要

The paper presents results of the research, which was focused on studying students’ inquiry work from a psychological point of view. Inquiry activities of students in a classroom were analysed through the evaluation of the character of these activities within learning process with respect to mathematician’s research practice. A process of learning mathematical discovery was considered in detail as a part of inquiry activities of students in a classroom.