As highlighted in the literature, one of the main difficulties in mathematics is the management of different semiotic representations. This difficulty occurs in verticals throughout schooling and is often an obstacle to the proper learning process of mathematics. The present study aims to investigate the different facets of these difficulties with…

The issue of students' difficulties in processing operations with percentages has been addressed in several international research studies from a qualitative perspective. In this study, we analyze students' difficulties on this topic, focusing on the transition from middle school to high school with a mixed methods research design. We focus on…

Montessori is a highly individualized pedagogy that prioritizes following each child's individual interests over standardized test scores. This quasi-experimental study compares groups of Montessori students (treatment groups, N = 535-710) with control groups of non-Montessori students, matched through the simple matching method, which controls…

National and international large-scale assessments of mathematics show that, in most nations, males achieve better results than females and Italy is one of the countries with a greater gap. Many research studies in mathematics education have analysed this issue, using both quantitative and qualitative methods to understand the sources and…

In the frame of national Italian standardized assessments in mathematics, a didactic phenomenon has been observed concerning students' behaviour when answering an item: students are inclined towards not accepting an output which is not clearly recognizable with something distinct from the starting inputs. The observed effect seems to originate…

This paper provides evidence on the sources of differences in inequality in educational scores and their evolution over time in four European countries. Using Programme for International Student Assessment data from the 2000 and the 2006 waves, the paper shows that inequality decreased in Germany and Spain (two "decentralised" schooling…