Introduction: The macroscopic perspective is one of the frameworks for research on problem solving in mathematics education. Coming from this perspective, our study addresses the stages of thought in mathematical problem solving, offering an innovative approach because we apply sequential relations and global interrelations between the different…

Introduction: When counting is taught to students at primary stage of schooling, they are generally allowed to use their fingers as a counting tool. Therefore, some students continue using their fingers to count, while others stop this habit later. The students who have the habit of using their fingers to count have difficulty when their fingers…

Introduction: In this document we stress the importance of developing in children a structure for advanced numerical-algebraic thinking that can provide an element of control when solving mathematical situations. We analyze pupils' conceptions that induce errors in algebra due to a lack of control in connection with their numerical thinking. We…