Methodological features of compilation the developing and searching textual tasks by using equations, inequalities and mixed systems

Abstract

Prolonged pedagogical practice and pedagogical experiments show that if students are accustomed to writing textual tasks from the beginning, then they can easily formulate to compile developing and searching textual tasks with the scheme - “Equality → Equation / System of Equations → Developing and / or searching textual task". At a later stage, when the students are already well experienced in composing such textual tasks, the teacher should offer the students to compile developing and searching textual tasks by scheme: "Inequality (numerical, containing a variable) → Inequality of a variable / variables and / or a system of inequalities (linear, nonlinear) → Developing and / or searching textual task". Developing and searching textual tasks is quite difficult with the presented scheme, so it is advisable to give students the task of creating simple types of textual tasks with low complexity, and more complex developing and searching textual tasks' compilation should be done in classroom work, or afterschool math lessons. After completing a textual task, it is essential that students always solve the task they have completed, as in some cases students may overlook any nuances in the task they have completed that may not be solved by the student. We have reviewed practical examples and made relevant methodological conclusions.