The Role of Mathematical Modeling in Enhancing 200 Level Student Understanding of Real Analysis in Federal College of Education Pankshin, Plateau State, Nigeria
Kimjal Zakghai Peter, Yakubu Samaila, & Yilteh Shikbagal Chrysantus
1*&3Faculty of Education, Department of Science Education, and Plateau State University Bokkos, Plateau State, Nigeria.
2School of Secondary Education (Sciences), Department of Mathematics, Umar Suleiman College of Education Gashua, Yobe State, Nigeria.
Abstract
This study investigates the proficiency of 200-level students at Federal College of Education, Pankshin, in understanding and applying Real Analysis concepts, the contribution of mathematical modeling to their learning, and the main challenges they face in the process. Using descriptive statistics to analyze responses from 54 students, the findings indicate a reasonable proficiency in Real Analysis, with a grand mean of 3.01624. Mathematical modeling was found to significantly enhance understanding and application, evidenced by a grand mean of 3.02456. However, notable challenges were identified, including the fast pace of the course (Mean = 3.4123) and insufficient seeking of additional help outside of class (Mean = 1.7039), resulting in a grand mean of 2.82936 for challenges faced. While course materials and assessment methods were deemed supportive and effective, the lack of frequent peer discussions on mathematical models was evident. The study concludes that while students demonstrate a fair grasp of Real Analysis, addressing the identified challenges through targeted interventions—such as adjusting course pacing, enhancing support resources, promoting peer discussions, and encouraging the use of additional help—can further improve their learning experience and outcomes. Recommendations include modifying the course pace, fostering collaborative learning, and increasing access to additional support resources. These measures aim to bolster students' comprehension and application of Real Analysis principles, ultimately leading to better academic performance and deeper mathematical understanding.
Keywords
Mathematical Modeling, Real Analysis, Student Understanding, Enhancement and Academic performance
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