Abstract
Considering that Mathematics is a multidimensional problem-solving method that can be effective in all areas of cultural life, it is of great importance because of its contribution to other sciences such as physical and social sciences. It is known that the basic concepts of mathematics, which can also be expressed as a way of life, have helped to increase the usefulness of mathematics to practical and even social sciences such as physics, chemistry, biology, economics, engineering and military, as well as their own values. In addition, if abstract subjects and concepts in mathematics are used in other sciences, concrete results can be obtained, which facilitate the labor of humans. In this case, it is useful to illustrate the mathematics of everyday life in order to understand the importance of mathematics. The word “function”, which is often used in everyday life as in mathematics, is one of the basic concepts in mathematics. Relating the learned knowledge and the acquired skills related to this concept to everyday life can affect the memory duration of learned knowledge and subsequent learning. Considering the importance of the subject, a case study has been conducted with (62) students. In the study, the definition of the function and two daily life examples related to the definition were presented to the candidates in black and white. The candidates were asked to make the definition of the types of functions presented to make sampling from daily life by making analogies. Content analysis was used in the analysis of the data. In the study, it was determined that the candidates could not go beyond the ordinary in writing samples. In addition, the success rates of candidates’ ability to define and write daily life examples have been quite different.
Highlights
The concept of function is known to be a concept that has been developed from past to present by those who are interested in mathematics by approaching from different angles and has a feature that separate classical mathematics from modern mathematics (Kleiner, 1989; Ponte, 1992; Eisenberg, 2002)
In the light of the research findings, it was found that the pre-service teachers had a deficiency in understanding the function definition and basic function concepts
According to the results of the research, it was seen that the pre-service teachers were not able to write the definition of function types successfully, it was seen that their success rate is relatively higher in certain function types
Summary
The concept of function is known to be a concept that has been developed from past to present by those who are interested in mathematics by approaching from different angles and has a feature that separate classical mathematics from modern mathematics (Kleiner, 1989; Ponte, 1992; Eisenberg, 2002). In 1939, after Bourbaki (2004) stated that this mapping had to be done according to a basis, it took its place in today’s textbooks with the definition of Drichlet-Bourbaki. According to this definition, on condition that with any two sets A and B different from empty set, a relation from A to B which maps each unit in set A to one and only one element in set B is called as “function” (Markovits et al, 1986). In this context, Altun (1998) stated that the deficiencies in the learning of function concepts may cause difficulties in learning many concepts such as logarithm, limit, derivative, integral and trigonometry
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