Solutions to problems with a detailed answer

    Solving computational problems is a traditional way of diagnosing and monitoring students' knowledge. The software exam tests the ability to solve problems of various levels of complexity. Using the tasks to which a complete solution needs to be brought allows you to get more information about the individual level of training of each student. When checking the answer, you can evaluate the ability to apply the rules in a changed or new situation,
choose the optimal solution method, the correctness of the presentation of your solution. The analysis of shortcomings in solving problems makes it possible to assess the significance of an error or ignorance of fundamental rules.
    A limitation in the use of open-answer assignments is the significantly longer time required for the examinee to answer one such assignment. In the  conditions of the exam, it is necessary to check the assimilation by a particular student of a large number of elements of knowledge and skills and to assess the depth of their assimilation, it is necessary to maintain a balance between the number of tasks, respectively, with the choice of an answer and with a free answer. 

    At the same time, tasks with a free detailed answer check those important aspects of the general education training of students that cannot be checked by tasks with a choice of an answer or tasks with a short answer.
    It is especially important that all examinees have a common understanding requirements for the completeness and correctness of the execution of open tasks. Therefore, the first thing to pay attention to is the instructions for completing open tasks, which generally reflect the requirements for the complete correct solution of tasks.
    The lack of tasks with a detailed response is related to the procedure for checking them.
    Such tasks cannot be correctly checked and evaluated by a computer at the moment. Therefore, the participation of expert people is necessary in their verification.
    The need for personal participation of experts to verify the results of completing tasks with a detailed answer raises the problem of the objectivity
of their assessment of the answer.

    The proposed approach to evaluating responses allows you to use it when checking different ways of solving problems, regardless of their difficulty, number
the elements of knowledge used and the scope of mathematical transformations. The assessment system, if possible, takes into account the most typical mistakes or shortcomings made by students, and determines their impact on the assessment.
    Experts are invited to independently evaluate each examination paper and correlate the evaluated solution with the options for presenting the solution corresponding to the grades.
    The expert is offered a generalized assessment system that can be used when considering an alternative to the author's solution in the examination paper.

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