@article{Ivanov_Pozdniakov_2020, title={Understanding the Problem by Modeling the Subject Area (with the Goal of Creating a Task Generator)}, url={http://cte.eltech.ru/ojs/index.php/kio/article/view/1656}, DOI={10.32603/2071-2340-2020-2-94-114}, abstractNote={<p>This article presents a theoretical analysis of the problem of comprehending educational material in mathematics on the example of a problem that was proposed by NN Pangina as a “touchstone” for studying the interaction of a teacher and a student in organizing the latter’s independent work (from ed.: Pangina’s article is published in this issue of the journal).</p> <p>The article discusses a methodological approach based on changing the pedagogical goal in relation to the task. Instead of starting with a search for a solution to the problem with specific data and focusing the student’s attention on “building a route” from the conditions of the problem to what needs to be found, it is proposed to build models that allow generating new problems similar to the one given.</p> <p>This formulation of the problem changes the psychological attitude of the student, relieves him of responsibility for the success of solving a specific problem. At the same time, prompted pushed by the teacher, the student builds various simulation models that can be easily programmed and turned into problem generators, thereby forming a mathematical model of the problem area in which the problem was set.</p> <p>The proposed approach is based on the activity approach proposed in the works of AN Leontiev in the 70s of the last century [1], the idea of bringing out difficult-to-understand intellectual actions outside in order to use the mechanism of internalization [1, 2] and the works of Simour Papert related to the use of computer artifacts as intermediaries for comprehending new mathematical ideas [3, 4].</p&gt;}, number={2}, journal={Computer Tools in Education}, author={Ivanov, Sergei G. and Pozdniakov, Sergei N.}, year={2020}, month={Jun.}, pages={94-114} }