Constructive Tasks as a Tool of Invasive and Non-invasive Assessment of Knowledge

Abstract

Constructive tasks are very important and appear in every branch of mathematics. This work is devoted to some experiments with constructive tasks held within the education and assessment process. Firstly, some remote constructive tasks were given to students within a course of Mathematical Logic and Theory of Algorithms. The tasks served only as a support tool and students were not obliged to solve them. Secondly, tasks of the same types were given to elder students which had already passed the course with an additional request to log their intellectual activity while solving the tasks. The third experiment was held during the written exam. Constructive tasks which were given to the students appeared as “the reverse” to the tasks they had solved during the semester.

Implementation of Horizontal Connections in the Course of Mathematics by Combining Pedagogical and Digital Technologies

“…About 70% of the students surveyed (28% of all students) noted the positive impact of the experiment on both understanding the main ideas of the course and learning programming. The created system "Graphs" will be further used in research on the role of constructive tasks in teaching mathematics continuing research [44,45].…”