Examining the impact of Galilean and Euclidean methods on students’ performance in calculating triangle areas based on given vertices

Abstract

The research compares Euclidean and Galilean methods in calculating triangle areas. It assesses how these different geometric frameworks influence problem-solving strategies and computational efficiency amongst thirty grade 10 male students at a selected school in Iraq. A mixed-methods approach was employed, using quantitative data from student assessments and qualitative data from interviews to evaluate the impact of these methods. The findings indicate that curriculum modifications, such as integrating Galilean methods alongside traditional Euclidean approaches, can enhance students’ understanding of geometric principles and improve their problem-solving skills. Additionally, research indicates that students find Galilean methods enjoyable, motivating, and novels which clarifies concepts and positively influences their perceptions of mathematics. The study highlights the importance of curriculum development incorporating diverse methodologies to cater to varied learning styles and promote a more inclusive and effective learning environment. The implications extend to educational practices, emphasizing the need for educators to adopt multifaceted approaches that foster enhanced mathematical literacy and prepare students for real-world applications.