In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason …
In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason in the case of trigonometry. We analyzed students' understanding of trigonometric concepts in the frame of triangle and circle trigonometry contexts, as well as the transition between these two contexts. In the conclusion, we present some new problematic aspects we noticed.The research was carried out with two groups of high school students, one of them at the beginning of their trigonometry learning (17 years old) and the other at the end of their high school education (19 years old). The students were given a questionnaire similar to that of Chin and Tall, and we analyzed the students' response. In our research, we noticed that students have difficulties with properties of periodicity and the fact that trigonometric functions are not one-to-one. In addition, there is poor understanding of radian measure and a lack of its connection to the unit circle.
In this paper, the effects of the online learning of the mathematical area of divisibility are studied, by comparing the achievements of students who have learned this mathematical topic in …
In this paper, the effects of the online learning of the mathematical area of divisibility are studied, by comparing the achievements of students who have learned this mathematical topic in the online and in-class environments. Data for this study were collected in seven schools at the beginning of the seventh grade of elementary education, with 383 participants aged 12 to 13. The test with four questions was designed according to the standards and levels set by APOSO (Agency for Pre-Primary, Primary, and Secondary Education in Bosnia and Herzegovina). Data were analyzed using a two-sample t-test and a Chi-square test. The results highlighted that there was no statistical difference in the total scores between the students who learned divisibility in the in-class environment and those who learned it in the online environment. When comparing students’ achievement in each question separately, statistical difference appeared only in the question of the highest level according to APOSO. The mistakes that students made when solving divisibility problems were also part of this research.
Geometry is a very interesting, applicable and beautiful part of mathematics. However, geometry is often difficult for students to understand and demanding for teachers to teach [1]. Constructing proofs in …
Geometry is a very interesting, applicable and beautiful part of mathematics. However, geometry is often difficult for students to understand and demanding for teachers to teach [1]. Constructing proofs in geometric problems turns out to be particularly difficult, even for high attaining students [2]. Sometimes, students do not even know where to start when trying to solve these [3].
In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.
In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.
The effectiveness of teaching strategies in improving student achievement in mathematics has been a topic of ongoing research. In Kosovo, vocational schools, especially those with an economics focus, face challenges …
The effectiveness of teaching strategies in improving student achievement in mathematics has been a topic of ongoing research. In Kosovo, vocational schools, especially those with an economics focus, face challenges in student engagement and achievement in mathematics, particularly in solving contextual problems related to economics. This study examines the impact of contextual teaching and learning (CTL) on students’ mathematical problem-solving skills in economics, as well as students’ attitudes toward this approach. This action research study employed a quasi-experimental design with a pre-/post-test approach. The research was conducted at the vocational high school “Andrea Durrsaku” in Kamenica, with 40 twelfth-grade students enrolled in the department of economics. The intervention lasted for six weeks, during which students engaged in problem-solving tasks related to economics using the modified CEICT (connection, experience, implementation, collaboration, transfer) model. Data collection included a pre-test, post-test, and a questionnaire with open-ended questions to measure students’ attitudes toward the contextual approach. Results from the pre- and post-test indicated significant improvement in student achievement, particularly in solving contextual problems in economics. Students demonstrated better problem-solving skills after the six-week intervention. Additionally, the majority of students reported positive attitudes toward CTL, appreciating their relevance to real-life situations and their collaborative nature. The findings suggest that CTL significantly enhances student achievement in mathematics, particularly in the context of economics, by making learning more relevant and interactive. Students’ positive attitudes toward this approach highlight its potential to foster deeper engagement and understanding. This research underscores the importance of integrating contextual learning strategies into vocational education to improve outcomes and better prepare students for real-world challenges.
The effectiveness of teaching strategies in improving student achievement in mathematics has been a topic of ongoing research. In Kosovo, vocational schools, especially those with an economics focus, face challenges …
The effectiveness of teaching strategies in improving student achievement in mathematics has been a topic of ongoing research. In Kosovo, vocational schools, especially those with an economics focus, face challenges in student engagement and achievement in mathematics, particularly in solving contextual problems related to economics. This study examines the impact of contextual teaching and learning (CTL) on students’ mathematical problem-solving skills in economics, as well as students’ attitudes toward this approach. This action research study employed a quasi-experimental design with a pre-/post-test approach. The research was conducted at the vocational high school “Andrea Durrsaku” in Kamenica, with 40 twelfth-grade students enrolled in the department of economics. The intervention lasted for six weeks, during which students engaged in problem-solving tasks related to economics using the modified CEICT (connection, experience, implementation, collaboration, transfer) model. Data collection included a pre-test, post-test, and a questionnaire with open-ended questions to measure students’ attitudes toward the contextual approach. Results from the pre- and post-test indicated significant improvement in student achievement, particularly in solving contextual problems in economics. Students demonstrated better problem-solving skills after the six-week intervention. Additionally, the majority of students reported positive attitudes toward CTL, appreciating their relevance to real-life situations and their collaborative nature. The findings suggest that CTL significantly enhances student achievement in mathematics, particularly in the context of economics, by making learning more relevant and interactive. Students’ positive attitudes toward this approach highlight its potential to foster deeper engagement and understanding. This research underscores the importance of integrating contextual learning strategies into vocational education to improve outcomes and better prepare students for real-world challenges.
In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.
In this paper, we generalise an interesting geometry problem from the 1995 edition of the International Mathematical Olympiad (IMO) using analytic geometry tools.
In this paper, the effects of the online learning of the mathematical area of divisibility are studied, by comparing the achievements of students who have learned this mathematical topic in …
In this paper, the effects of the online learning of the mathematical area of divisibility are studied, by comparing the achievements of students who have learned this mathematical topic in the online and in-class environments. Data for this study were collected in seven schools at the beginning of the seventh grade of elementary education, with 383 participants aged 12 to 13. The test with four questions was designed according to the standards and levels set by APOSO (Agency for Pre-Primary, Primary, and Secondary Education in Bosnia and Herzegovina). Data were analyzed using a two-sample t-test and a Chi-square test. The results highlighted that there was no statistical difference in the total scores between the students who learned divisibility in the in-class environment and those who learned it in the online environment. When comparing students’ achievement in each question separately, statistical difference appeared only in the question of the highest level according to APOSO. The mistakes that students made when solving divisibility problems were also part of this research.
Geometry is a very interesting, applicable and beautiful part of mathematics. However, geometry is often difficult for students to understand and demanding for teachers to teach [1]. Constructing proofs in …
Geometry is a very interesting, applicable and beautiful part of mathematics. However, geometry is often difficult for students to understand and demanding for teachers to teach [1]. Constructing proofs in geometric problems turns out to be particularly difficult, even for high attaining students [2]. Sometimes, students do not even know where to start when trying to solve these [3].
In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason …
In this paper, research on some problematic aspects high school students have in learning trigonometry is presented. It is based on making sense of mathematics through perception, operation and reason in the case of trigonometry. We analyzed students' understanding of trigonometric concepts in the frame of triangle and circle trigonometry contexts, as well as the transition between these two contexts. In the conclusion, we present some new problematic aspects we noticed.The research was carried out with two groups of high school students, one of them at the beginning of their trigonometry learning (17 years old) and the other at the end of their high school education (19 years old). The students were given a questionnaire similar to that of Chin and Tall, and we analyzed the students' response. In our research, we noticed that students have difficulties with properties of periodicity and the fact that trigonometric functions are not one-to-one. In addition, there is poor understanding of radian measure and a lack of its connection to the unit circle.