Problem-Based Learning and Discovery-Based Learning Models on Student’s Metacognitive Ability Based on Self-efficacy

Abstract

Problem-solving is an essential basic skill which requires metacognitive abilities. In fact, there are many students who experience metacognitive failure in solving mathematical problems. This study aims to discover the effect of applying Problem-Based Learning, Discovery-Based Learning and Conventional Learning models on students' metacognitive abilities based on self-efficacy in problem solving. This research was conducted in Jambi University, Indonesia. The population of this study were all students who attended Discrete Mathematics lectures for the 2022/2023 academic year, and all members of the population were sampled in this study. Problem-Based Learning, Discovery-Based Learning and Conventional Learning model became the independent variables, while the dependent variable was the students' metacognitive ability in solving mathematical problems. The research instruments were self-efficacy questionnaires, pre-test questions, learning model implementation sheets and post-test questions which had been validated. It employed a quasi-experimental research design with a randomized block design and applied Two-Way ANOVA to analyse the data. The results showed that there was an effect of Problem-Based Learning, Discovery-Based Learning and Conventional Learning models on students' metacognitive abilities based on self-efficacy in problem solving.