الأخطاء الشائعة في الرياضيات التطبيقية، وعلاقتها بالاحتياجات المهنية المستقبلية لدى طلاب التعليم الفني الصناعي
The research aimed to identify common errors made by first-year industrial secondary school students specializing in electronics when solving specialized mathematics problems. Additionally, the study aimed to understand the future professional needs of graduates from technical education programs (with a focus on electronics). Furthermore, the research explored the relationship between common mathematical errors and the future professional needs of these students. The ultimate goal was to propose a conceptual framework for addressing common mathematical errors in applied mathematics that aligns with the future professional requirements of industrial technical education graduates (specializing in electronics). To achieve this objective, the researcher employed a descriptive-analytical methodology. The research sample consisted of 11 students, representing 100% of the original study population. The research tools included a questionnaire to gather opinions from electronics teachers on various mathematical topics related to electronics, a diagnostic test in electronics, structured interviews with students, a survey to assess electronics teachers’ perspectives on the prevalence of common mathematical errors among first-year industrial secondary students (specializing in electronics), and a survey to gauge electronics teachers’ opinions on the importance of future professional needs (related to mathematical topics) for students in industrial secondary technical education (electronics specialization). The research’s findings revealed a strong inverse relationship between common errors in applied mathematics and the future professional needs of technical education students. Based on these results, the research proposes a conceptual framework to address common mathematical errors in applied mathematics, aligning with the future professional requirements of industrial technical education graduates (electronics specialization). (Published abstract)