Вестник Майкопского государственного технологического университета (Mar 2023)
Methods for forming skills of solving “rule of three” problems
Abstract
The article is devoted to the topical issue of improving the methodology of working with text problems on “uniform processes” (finding the fourth proportional), which form the concept of a direct and inversely proportional relationship between values in younger students. Problems of this type cause the greatest difficulties for younger students. One of the ways to increase the effectiveness of training solving problems is to use creative problems for compiling and transforming tasks. The purpose of the research is to identify and systematize techniques for organizing students' activities in the process of forming the ability to solve problems of finding the 4th proportional (“rule of three” problems). In the course of the research structurally meaningful components of the algorithm for working on a text problem at the fixing stage are specified. The scientific novelty of the research consists in the development and implementation of the author’s version of the system of creative tasks, which allow designing test and diagnostic materials in accordance with the solution of specific didactic goals at various stages of formation of skills for solving “rule of three” problems. Experimental testing of materials has been carried out on the basis of MBEI “Secondary School No. 1” of Giaginsky settlement of the Republic of Adygea. The increase in the reliability of the findings is facilitated by the use of a statistical technique for the dependent sample - the “Sign Criterion” statistics. As a result, an alternative hypothesis has been confirmed: the quality of training in solving problems of finding the fourth proportional one will increase if creative exercises on compiling and transforming tasks are offered at all stages of work on tasks. Research methods: pedagogical experiment, methods of mathematical statistics (“Sign Criterion”).
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