Abstract

Current study is devoted to the readiness of future math teachers to develop pupils` mathematical abilities. Development of pupils` mathematical abilities is one of the most important problems in learning mathematics. Many Russian and foreign scholars were engaged in research of mathematical abilities. Tutoring support having been provided for young teachers and graduates of Kazan federal university pedagogical department showed a number of issues. Novice teachers engage “average” students, do not implement an individual approach, have certain difficulties in determining pupils` mathematical abilities and applying the methods of its development. Consequently, the purpose of this study was to identify ways to improve training of future mathematics teachers in terms of developing students' mathematical abilities.Analysis of specific literature showed distinction between ordinary “school” abilities to assimilate mathematical knowledge, to reproduce and implement it on the one side, and creative mathematical abilities associated with designing original product. In this regard questionnaires were drawn to establish ideas of KFU students as future math teachers about current state and possibilities of developing pupils` mathematical abilities.The study determined that success of future teachers` training depends on many factors. A considerable place must be given both to development of students` mathematical abilities themselves and to development of their pedagogical competencies.

Highlights

  • In modern realities, the most important task of teaching mathematics is development of students' abilities

  • Observations showed that beginning teachers had certain difficulties in performance related to: the content of Math discipline, with means and methods of pedagogical influence on students; with individual psychological characteristics of the teacher; with insufficient reflection and low self-criticism

  • Young teachers do not consider the reasons for their failure, disadvantages of their own work, they are concentrated on a ’average” pupil, do not implement individual approach, they find it difficult to determine pupilsmathematical abilities and apply methods of its forming

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Summary

Introduction

The most important task of teaching mathematics is development of students' abilities. Scientists such as Gusev V.A. Observations showed that beginning teachers had certain difficulties in performance related to: the content of Math discipline (insufficient level of generalization and systematization of mathematical knowledge, training of techniques, methods of action, algorithms), with means and methods of pedagogical influence on students (difficulties in setting and solving pedagogical problems, inability to take into account past mistakes, insufficient flexibility in modifying tasks during the lesson, inability to organize educational and cognitive activities of pupils); with individual psychological characteristics of the teacher (temperament, volitional qualities, emotional sphere, etc.); with insufficient reflection and low self-criticism. A novice teacher is still unable to provide high-quality mastering of mathematical concepts, algorithms, properties and methods of action

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