DIAGNOSTICS OF TYPICAL ERRORS WHILE SOLVING TASKS WITH THE BRIEF ANSWER OF THE USE ON THE MATHEMATICS OF THE PROFILE LEVEL IN THE REGION (ON THE EXAMPLE OF THE ALTAI TERRITORY)
Journal Title: Дидактика математики: проблемы и исследования - Year 2017, Vol 1, Issue 46
Abstract
The article presents the results of a study that develops ideas of cognition of the essence of mathematical errors and the causes of their occurrence. The data obtained in the course of the study of the results of assignments with a brief answer of the participants in the unified state exam in mathematics of the profile level in 2017 in the region (Altai Territory) are reflected. On the basis of these data, possible typical mistakes are formulated in the performance of tasks that cause the greatest difficulty for students: assigning a derivative to a geometric meaning; plot task for teamwork; the problem of finding the maximum point of an elementary function. The revealed errors testify to insufficient formation of skills: to carry out actions with functions, to build and investigate the simplest mathematical models. To detect errors, the fan of answers of the exam participants was used, in which the most frequently found incorrect answers were highlighted. The typical error is noticed in the mass repeatability of certain incorrect answers of the examiners. Reconstruction of the proposed solutions leading to such incorrect answers made it possible to reveal the essence of the errors. A special role of training in solving problems with a brief answer in the process of preparing for a single state exam in mathematics at the profile level is demonstrated. The article reveals the possibilities of obtaining a more complete picture of the subject results of teaching mathematics at the profile level, the implementation of pre-ventive and corrective actions to overcome the errors of students.
Authors and Affiliations
Igor Kiselnikov
Keywords
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