UDC 007.51 (045)
DOI: 10.36871/2618-9976.2023.07-2.005

Authors

Ivan N. Drogobytskiy,
Doctor of Economics, Professor, Professor of the System Analysis in Economics Department of the Financial University under the Government of the Russian Federation, Moscow, Russia

Abstract

The article constates nontriviality of the task provided with assessing knowledge. Here we analyze the scales for measuring knowledge that have found practical application in various countries and reveal the evolution of measuring knowledge in our country. Finally, we prove the inconsistency of the methodology for assessing knowledge in a 100point scale, which has become widespread in the national higher school. Nontriviality of the task provided with knowledge assessment is explained by double subjectivity (the subjectivity of the student's mastering knowledge and the subjectivity of the assessment of this knowledge by the teacher), as well as a scanty selection of control questions in comparison with the total volume of a discipline’s educational material which is an object of control. Despite this, the established grade is required to reflect objectively (!) the degree of a student’s mastering in the entire knowledge arsenal of a controlled discipline.
Here we analyzed some of scales for measuring knowledge. These are the 4point scale, used for a long time in our country: the 10point scale, used in the Netherlands, Italy, Spain and Romania; the 20point scale used in Greece, Peru, Belgium and France, and the most widely used 100point scale, which measures knowledge in the United States, Turkey, India, Egypt and modern Russia. All marked scales belong to the class of relative or ordinal ones, and their application consists in assigning to each student a fixed reference value, reflecting the level of his knowledge in the discipline being examined. Despite the fact that the reference values of the measuring scales are denoted by numbers, in fact they are not numbers and arithmetic operations cannot be performed on them. Unfortunately, this natural rule is often violated. Many participants in the educational process have wish to strengthen the ordinal scale and further objectify the grades. It has led to the synthesis of ornate methodological superstructures on ordinal scales, which often do not stand up to scrutiny. Domestic educational institutions were especially keen on this.
From the standpoint of measurement theory, an analysis was made of the methodology for applying the 100point scale for measuring knowledge, which, with minor modifications, has been used by national universities since the very beginning of market reforms. The analysis showed that to assess the knowledge of students, the mentioned methodology uses three measuring scales: a 20point scale at intermediate certifications, a 60point scale during a test or exam, and a 100point scale when forming the final grade in the discipline. The article proves the theoretical inconsistency of the applied methodology and develops recommendations for overcoming it.

Keywords

Assessment (measurement) of knowledge, Measuring scales, Identity and ordering relations, Relative (ordinal) scale, Reference (scale) values, Permissible operations on assessment data