On the Up-to-date Course of Mathematical Logic for the Future Math Teachers

E N Sinyukova,S V Drahanyuk,O O Chepok

doi:10.13189/ms.2021.090315

Abstract

All-round development of the everyday logic of students should be considered as one of the most important tasks of general secondary education on the whole and general secondary mathematics education in particular. We discuss the problem of organization in teachers' training institutions of higher education and the expedient training of the future math teachers at institutions of general secondary education. The main goal is to ensure their ability to realize all their future professional activities and the necessary participation in forming the everyday logic of their pupils. The authors think that vocational educational program of training is that the future secondary school math teachers must contain a separate course of mathematical logic including at least 90 training hours (3 credits ECTS). Although the content filling of the course cannot be irrespective of the general level of arrangement of mathematics education in the corresponding country, it ought to be a subject of discussion of the international mathematics community and managers in the sphere of higher mathematics education. Simultaneously, the role, the place, and the expedient structure of such a course in the corresponding training programs should be under discussion. The article represents the authors' point of view on the problems indicated above. The research has a qualitative characteristic as a whole. Only some of its conclusions have statistical corroboration.

Highlights

It seems to make no sense to discuss what should be recognized as the priority in the history of humanity – the mathematical knowledge or those deductions of generalizing character with the help of which this knowledge has been received
According to the above-mentioned content and the above-mentioned form, the course of mathematical logic has been mastered by a group of 18 students of the first level of higher education of the second year of training by the specialty “Secondary education (Mathematics)” during 2019-2020 academic year
The vocational education program of training in teacher’s training institutions of higher education the future teachers of mathematics for institutions of general secondary education, as for colleges, must contain a separate course of mathematical logic expected to be taught in 90 training hours (3 credits ECTS)

Summary

Introduction

It seems to make no sense to discuss what should be recognized as the priority in the history of humanity – the mathematical knowledge or those deductions of generalizing character with the help of which this knowledge has been received. The ability of logical thinking and human knowledge about the properties of the human’s environment have formed simultaneously anyway by the fact that a man itself represents a part of this environment. We know formal logic, as such part of logic that establishes laws of creating new knowledge on the basis of the previously received excluding reference in each specific case to practical experience, mathematical logic, firstly in the form of the only one, and – in the form of a lot of axiomatic theories. All of them have been formed as a quintessence, as a result of the development of the so-called everyday logic

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