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Gymnasium as a school and as one of the levels in education has changed for decades both in the curriculum and in its duration. Nevertheless, the common goal in each period of Gymnasium education was and remains to provide students with the widest possible general education and to prepare them for further education at various universities of technical, social and natural sciences. In the last stage of socialism in Bosnia and Herzegovina, all high schools in their curriculum aimed to train students for one of the working professions so that each student after graduating from high school acquired a certain knowledge and could be employed in the sector for which educated. During that period, grammar schools were formally abolished. Instead, secondary administrative schools were most often formed, which were most similar to Gymnasiumin terms of their curriculum. In the present age, the gymnasium as a school exists with the fact that the curriculum is common to all first and second grades, while the third and fourth grades are divided into directions: mathematics-informatics, natural, social, linguistic and information-communication. Without going into the purpose of the existence of other directions, it should be emphasized that the mathematics-informatics direction aims to bring the students of the final grades of grammar school closer to technical and informatics universities, ie to acquaint them with technical and informatics. One of the key subjects at some technical colleges is descriptive geometry. These would primarily be the universities of architecture, civil engineering and mechanical engineering. In informal conversations between fourth graders regardless of direction and their teachers from time to time the topic is the subject of descriptive geometry. From the mentioned conversations, two mutually opposing hypotheses crystallized in terms of the importance of descriptive geometry, ie whether or not descriptive geometry should be introduced in all directions of Gymnasium. In order to determine which of these two hypotheses prevails, a generic / developmental method was applied, ie a survey was used as one of the research techniques. The survey was conducted in February 2020. A sample of 80 fourth-grade students from the „Muhsin Rizvić“ Gymnasium in Kakanj and the „Visoko“ Gymnasium in Visoko, who are not in the mathematics and computer science trend, was selected for the survey. As can be seen, the importance of descriptive geometry as a subject will be expressed by those students who do not have descriptive geometry as a subject according to the curriculum

The development of science is essential when it comes to the development of society, while the mathematics necessary for the development of science. The fact that the children are all clearer, more capable and versatile, and their mathematical knowledge smaller and worse, motivated me to this research.How would our society be better you need to choose talented and creative young people who will represent the same company. One way of selecting children, and choosing the best are just competitions. In this work, attention will be focused on additional classes and competitions of teaching mathematics, as well as their importance in the education and development of children in schools.When it comes to gifted students, one of the main events where they can demonstrate their knowledge and skills are the competition.The overall objective of this research is to determine the extent to which the additional classes represented in schools and how many students go to additional classes and competitions in mathematics.The study included 103 primary school students in the municipality of Ilijaš. The results obtained in this study mostly on the representation of additional teaching of mathematics in schools or with, a small number of students. Because the necessary mathematical talent, the will and desire to learn mathematics. Viewed from the perspective that the disciples mathematics not so favorite subject, these are the expected results.

Today’s modern lifestyle and contemporary ways of working and gaining knowledge in schools and universities could not be imagined without high technology – the Internet. Simply said, internet entered all the pores of contemporary life in big style. If used rationally, internet can truly facilitate work in all spheres of modern man’s life. However, internet also has a dark side which comes to light if its excessive use becomes internet addiction, or internet infatuation. We reached this hypothesis through everyday contact with students in class as well as our colleagues teachers. In order to determine if and to what extent internet addiction among students exists, we applied a generic method, that is, we used survey as one of techniques of research. The survey was conducted in October of academic year 2017/2018. Sample of 79 students was selectedfrom first and fourth grades in Secondary school “Muhsin Rizvić” in Kakanj.