Authors: P. Ramulu, S.Suresh
Abstract: This study examines the effectiveness of contextualized and case-based learning frameworks in enhancing graduate students’ mathematical reasoning, problem-solving abilities, and scholarly communication skills. Grounded in constructivist learning theory, these instructional approaches emphasize meaningful connections between mathematical concepts and real-world or research-oriented applications, fostering deeper understanding and active engagement. A quasi-experimental design with a nonequivalent control group was employed, involving 45 graduate students from a higher education institution. Participants were divided into experimental and control groups, where the experimental group was exposed to contextualized, case-based instructional modules, while the control group received conventional teaching. Data were collected using validated instruments measuring mathematical reasoning and academic communication skills through pretest and posttest assessments. Quantitative analysis was conducted using paired-sample t-tests to evaluate within-group improvements and Multivariate Analysis of Covariance (MANCOVA) to assess between-group differences while controlling for pretest scores. Additionally, qualitative data were obtained from writing samples, reflective journals, and student feedback to provide deeper insights into learning outcomes. The findings reveal that students exposed to contextualized and case-based learning approaches demonstrated significantly greater improvement in mathematical reasoning, problem-solving skills, and scholarly writing compared to those in traditional settings. The results further indicate enhanced abilities in logical analysis, structured argumentation, and discipline-specific academic expression. Moreover, these approaches promoted collaborative learning, critical thinking, and the integration of theoretical knowledge with practical applications.
DOI: https://doi.org/10.5281/zenodo.19436755
International Journal of Science, Engineering and Technology