Problem Solving Method in Teaching of Mathematics (Trigonometry) at Secondary Stage

Abstract

This research examines the impact of the problem-solving approach on improving performance in Mathematics among secondary school students. Drawing on established problem-solving models, including variations of Polya’s well-known four-step strategy (comprehending the problem, planning a solution, executing the plan, and reviewing the results), the study investigates how the structured use of such techniques influences students’ conceptual grasp and academic success in Mathematics.
Adopting a quantitative research design, the study utilizes a sample of secondary-level learners and applies both descriptive statistics and regression analysis to assess the relationship between problem-solving instruction and academic performance. The results indicate a strong positive correlation, showing that implementing problem- solving methods significantly enhances student achievement. This improvement is attributed to the promotion of deeper understanding, strategic reasoning, and the ability to interrelate mathematical concepts.
Furthermore, the study finds that problem-solving strategies contribute to more favourable student attitudes to- ward Mathematics and foster the development of higher-order thinking skills. These skills are vital for addressing complex problems both in academic settings and real-life scenarios. The findings emphasize the value of embed- ding problem-solving techniques into the secondary Mathematics curriculum to improve educational outcomes and better equip students for future mathematical challenges.
Problem solving method refers to a structured, step-by-step approach used to identify solutions to specific challenges or issues. It’s a way of thinking and working through problems methodically to reach a resolution. This method is used in everyday life, education, business, engineering, science, and more.