Using Balacheff's (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set…

Although part of their use is intended for leisure, social networks could be a useful tool for developing students' critical thinking. Nevertheless, this relationship could also be influenced by our competence in learning to learn, that is to say, our knowledge, skills, and attitudes associated with self-regulation, metacognition, use of learning…

This case study was undertaken to characterise the interventions made by a kindergarten teacher during a multiplicative structure problem-solving lesson. The study findings show that when she realised the children were having difficulty, she provided assistance to enable them to find the right answer. When the children gave an incorrect response,…

This cross-national study examined students' evaluation of strategies for solving linear equations, as well as the extent to which their evaluation criteria were related to their use of strategies and/or aligned with experts' views about which strategy is the best. A total of 792 middle school and high school students from Sweden, Finland, and…

What difficulties do architecture students encounter in the structural design for their final master project? How do they address these difficulties? This paper presents the topic and focuses on these two research questions by examining the students' experience, using thematic analysis with a qualitative approach. We obtained the data through…

Generalisation is a skill that enables learners to acquire knowledge in general, and mathematical knowledge in particular. It is a core aspect of algebraic thinking and, in particular, of functional thinking, as a type of algebraic thinking. Introducing primary school children to functional thinking fosters their ability to generalise, explain and…

From an early age, understanding proportional reasoning is a fundamental pillar in mathematics education, and therefore, teachers should have a thorough knowledge of it. Despite its significance, there are few studies that analyse the difficulties that student teachers have in understanding proportionality, and even less so inverse…

The main objective of this article is to analyse informal learning processes in the field of video games. As many teenagers are engaged in these kinds of practices, the big question is: How do teens learn to play video games? In most cases they do not learn to play video games at school or with their parents, and therefore it is necessary to map…

Networked society before pandemic situation had become the context of a technology-supported environment for learning and teaching. Since COVID-19 pandemic occurred learning happened essentially mediated through connected smart devices that demand digital skills and reinforced Smart learning. This study aims to present a descriptive and…

Recent research on achievement in science asserts that motivation, emotion, and metacognition are important driving forces for learning. This study sought to examine the relationships between two physics class emotions (hope and anxiety), their motivational predictors (instrumentality and self-efficacy), and their effects on metacognitive problem…

This paper analyses the strategies used by pre-service primary school teachers for solving simple addition problems involving negative numbers. The findings reveal six different strategies that depend on the difficulty of the problem and, in particular, on the unknown quantity. We note that students use negative numbers in those problems they find…

We conducted a qualitative research of case studies based on think-aloud protocols. The aim was to carry out in-depth analyse secondary students' cognitive difficulties appearing in early stages of transfer processes in problem-solving. The task was to relate several source problems to a target problem, in order to solve it effectively. Source and…

The past two decades have witnessed increasing global acceptance of the important role that capable leadership plays in education reform and school improvement. Consequently, policymakers internationally have actively sought means of strengthening capacity for school-level leadership, with a particular focus on the design of more effective…

Introduction: Motivation is an important factor in the learning of mathematics. Within this area of education, word problem solving is central in most mathematics curricula of Secondary School. The objective of this research is to detect the differences in motivation in terms of the strategies used to solve word problems. Method: It analyzed the…

The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…