This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…

Despite the ongoing debate in academic circles regarding the impact of the arts on individual and collective well-being, there is a paucity of empirical research in this area. Nevertheless, recent studies have begun to establish a significant correlation between arts engagement and a range of positive outcomes. The objective of this study is to…

The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…