Methodological features of compilation the developing and searching textual tasks by using equation or linear equations systems
Among the types of tasks to be studied in school practice, textual tasks are the broadest class, the solution of which starts from the very first lessons of teaching and continues until the end of school. Therefore, it is not surprising that special attention is paid to the study of textual tasks. We consider, it is methodically justified that the study of the compilation the developing and searching textual tasks should start from the very first grade of teaching. At the same time, the approach should be maintained that the developing and searching textual tasks should be compiled with the same methodological approach at all three levels of teaching. From a methodological point of view, we definitely consider the students should solve and analysis a textual task composed by themselves. The article discusses the developing and searching textual tasks with the scheme: “Equality → Equation/System of Equations → Developing and / or searching textual task". Methodically it is better to use this scheme gradually. First, consider the scheme “Equality → Equation/System of Equations", then move on to the scheme: "Equation / System of Equations → Developing and/or searching textual task". If the level of students in the class is quite high in mathematics, then it is possible to compose more complex textual tasks with the scheme: “Equality → Indefinite Equation /Indefinite System of Equations → Developing and / or searching textual task". We have reviewed practical examples and made relevant methodological conclusions.