# International Electronic Journal of Mathematics Education

The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking
• Article Type: Research Article
• International Electronic Journal of Mathematics Education, 2016 - Volume 11 Issue 7, pp. 2402-2417
• Published Online: 03 Sep 2016
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Gonda D. The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking. Int Elect J Math Ed. 2016;11(7), 2402-2417.
APA 6th edition
In-text citation: (Gonda, 2016)
Reference: Gonda, D. (2016). The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking. International Electronic Journal of Mathematics Education, 11(7), 2402-2417.
Chicago
In-text citation: (Gonda, 2016)
Reference: Gonda, Dalibor. "The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking". International Electronic Journal of Mathematics Education 2016 11 no. 7 (2016): 2402-2417.
Harvard
In-text citation: (Gonda, 2016)
Reference: Gonda, D. (2016). The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking. International Electronic Journal of Mathematics Education, 11(7), pp. 2402-2417.
MLA
In-text citation: (Gonda, 2016)
Reference: Gonda, Dalibor "The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking". International Electronic Journal of Mathematics Education, vol. 11, no. 7, 2016, pp. 2402-2417.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Gonda D. The Elements of Substitution Thinking and Its Impact On the Level of Mathematical Thinking. Int Elect J Math Ed. 2016;11(7):2402-17.

# Abstract

In current teaching trends, in addition to the modernization of teaching, an effort to make the education more effective appears. In the field of mathematics, the effectiveness of education is closely linked to the development of pupils’ logical thinking. It is necessary to find the elements of mathematics, which constitute the connection between particular mathematics fields and teach them purposefully. The substitution is not a natural way for pupils to solve equations and inequalities and therefore it is necessary to develop substitution mind throughout the study of mathematics. The pupils with developed substitution thinking perform better in solving tasks from different areas of mathematics. The ability to transform the task according to developed substitution thinking, allows pupils to use the knowledge of mathematics in the interdisciplinary subject relationship effectively. A sign of advanced substitution thinking is a discovery of way how to solve problems.  It also allows the learner to atomize the task and thus solve the task in the elementary steps. The mathematical confidence gained through developed substitution thinking becomes a pupil's internal motivation factor to tackle the most demanding tasks and not only mathematical ones.

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