The Influence of Family Dynamics and Environment on Academic Performance and Understanding of Trigonometry

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This article is the result of a research that was carried out to obtain the degree of Master's Degree in Education in the postgraduate program of the Faculty of Education of the Popular University of Cesar and monographic work of the degrees in Mathematics and Computer Science and Mathematics and Physics of the same university. The main objective of this study was to analyze the influence of the family environment on the learning and academic performance of students in tenth grade trigonometry from a public educational institution in the city of Valledupar. Applying a mixed method, the research employed a simultaneous integrated design, where quantitative and qualitative data were collected and analyzed at the same time. This approach allowed for a complete and nuanced understanding of the research questions, providing a holistic view by exploring family dynamics and environment and how these impact performance and understanding of trigonometry. As for the implications for educational practice, it is evident that there is a need to implement strategies that involve families in the teaching-learning process of trigonometry, since the data collected revealed a clear correlation between the level of parental participation in education and students' understanding of trigonometric concepts. In addition, the study found that a positive and supportive family environment contributed significantly to higher academic achievement in trigonometry.