The cognitive reflection test (CRT) assesses an individual's capacity to restrain impulsive and intuitive responses and to engage in critical reflection on mathematical problems. The literature indicates that several factors influence students' performance on CRT, including gender, age, and prior knowledge of mathematics. In this study, our…

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…

This paper focuses on the difficulties encountered by Italian students in performing geometry tasks. A quantitative analysis, aimed at understanding the extent of the phenomenon, is carried out using the results of district competitions from the year 2018 to 2020, comparing the scores obtained in geometry questions with those in other areas of…

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…

This paper focuses on the impact of changing environment on undergraduate mathematics students' status, described through their engagement, participation, and motivation levels. These parameters were computed through a fuzzy cognitive map, which gathered data from a situation-aware e-learning platform. The main goal is to analyze the students'…

There is not a large body of literature about digital resources found and accessed autonomously by high school students while studying mathematics, whereas this topic has become more and more relevant in times of lockdown due to the pandemic. Italy has been one of the first countries facing lockdown for an extended time, making this country a…

The M@t.abel2020 project supported Italian teachers during the COVID-19 pandemic period, proposing activities based on the mathematics laboratory teaching method which are suitable for distance learning situations. The project resulted in the establishment of an online community of 1,500 teachers. In this paper we present an exploratory study…

We present the result of an eight-year didactic experiment in two primary school classes involving comparative geometry activities: a comparison between Euclidean plane geometry and spherical geometry that took place over five years. Following the didactic experiment, three years on from the end of the experiment, final questionnaires were…

In this paper the results of a questionnaire about mathematics teachers' inclusion in their teaching of mathematical modelling and problem posing are presented. To make teachers able to choose a coherent teaching method for a mathematical topic, teachers' knowledge of valuable methods for the teaching of mathematics should be fostered. In this…

In order to facilitate policy-driven reforms in science education, it is important to understand how teaching innovations diffuse among teachers and how that adoption process can be catalysed. Little is known about the set of attitudes that makes teachers early or late adopters. In this study, the Concerns-Based Adoption Model (C-BAM) was employed…

As indicated in numerous research studies, schoolchildren encounter many difficulties and obstacles in learning the multifaceted concept of the angle. In order to explore the possibility of enhancing schoolchildren's understanding of such a concept, the authors present a study that aims at investigating some structural characteristics of…