Natalya Zelenina

The article analyzes the results of the USE in mathematics in 2018 in the Kirov region. The statistical data are given, allowing to compare the results in the region with the average results for the Russian Federation, as well as to trace the dynamics of the results in the region. Authors with extensive experience in checking-up exam papers describe typical mistakes of students and difficulties they face.

The article presents some methodological recommendations for teaching schoolchildren graphical methods of solving tasks with parameters by means of variable change. The authors, who have great experience of working with schoolchildren, note the main difficulties and typical mistakes in solving such tasks at the final state certification. The article will be interesting for high school students who are going to take the USE in mathematics at the advanced level, for teachers of mathematics working in senior classes, for methodologists.

The unified state examination in mathematics has been held in our country for more than fifteen years. Over the years it has undergone some transformations, connected both with the examination work and with the content aspects: the typification of tasks became more transparent; in recent years, the exam is held on two levels - basic and advanced. Despite the abundant amount of materials on the Internet, which give an opportunity to understand the structure and complexity level of the exam options, the issue of substantive and statistical processing of the past years exam results remains an urgent one for analysis by the teachers preparing the students for passing the USE and by the graduates themselves. In addition, the analysis of the results of students who passed the Unified State Examination in their own region is of a special interest for teachers. Thus, the purpose of the article is to analyze the results of 2017Unified State Exam in Mathematics in Kirov Region. Statistical data are given allowing to compare the results in the region with the average results for the Russian Federation, and also to monitor the dynamics of the results in the region. The authors, who have great experience in checking up exam papers, describe typical mistakes and problems of students, based on the content of the work and statistical data. The materials of the article may be interesting for mathematics teachers, school directors and their deputies, as well as for graduates of secondary general education institutions preparing themselves for the final certification in mathematics in the form of the Unified State Exam.

The task with parameter is traditionally included in the control materials of the Unified state examination(USE) in mathematics and is evaluated with maximum points. At the same time for various reasons these tasks are devoted very little time in school. The authors who have great experience in checking exam papers show on example of a task, its level of difficulty corresponding with the requirements to such tasks at the examination(USE) in mathematics in recent years, different ways of solving it: analytical (different options), graphical in the system (x;y) and graphical in the system (x;a). Proposed solutions are described in detail with the indication of typical mistakes made by students. The authors give some methodological recommendations which enable to organize teaching of students to solve tasks with parameters more effectively.

The paper analyzes the results of the Maths exam in the Kirov region in 2016. The authors give statistical data, allowing to compare the results in the region and the average results in the Russian Federation and to see results dynamics in the region. The authors describe typical mistakes and difficulties, which students experience during the exam.