Our work investigated how six primary school students used a non-traditional method for adding and subtracting: the ABN method, a Spanish acronym for Open (method) Based on Numbers. Commognitive theory [Sfard, A. 2008. "Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing." New York: Cambridge…

The success or failure of education systems in promoting student problem-solving skills depends on attitudinal, political, and pedagogical variables. Among these variables, the design of mathematics textbooks is thought to partially explain why students from high-achieving countries show better problem-solving ability in international assessments.…

Students with autism spectrum disorder frequently face challenges when learning mathematical concepts. For example, they may have difficulties solving mathematical word problems, in particular Cartesian product problems. This research is a case study with a multiple probe design in which the participants were three Spanish students diagnosed with…

One of the goals of secondary science education is to help students develop skills related to scientific inquiry. However, the results of previous studies have shown that students have difficulties in identifying problems, formulating hypotheses, drawing conclusions, and designing experiments. The main objective of this contribution is to indicate…

Visualization and argumentation are central processes in the learning of geometry, giving rise to specific lines of research in mathematics education. However, it is worth asking whether they should be developed independently or if it is possible and in what way an articulation between them can be promoted. The objective of this paper is to search…

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…

Fermi problems are real-context estimation tasks that are suitable for introducing open-ended problems in primary school education. To ensure their effective introduction in the classroom, teachers must have adequate proficiency to deal with them. One of the key aspects of problem-solving proficiency is flexibility, but there are few studies on…

Online learning offers learners the convenience and freedom to study at their own pace and place, but it also poses various obstacles for those with specific educational needs. This paper aims to delve into the subjective experiences of online learners with disabilities, focusing on how they manage the challenges encountered in asynchronous online…

The teaching guides that complement textbooks have key importance in the assessment of competence in problem solving, because these materials contain the assessment tools that teachers frequently use to quantify the achievements of their students. In this paper, we set two aims: to analyze which curriculum contents are given priority in the…

This paper provides a longitudinal analysis of the understanding of repetition patterns by 24 Spanish children ages 3, 4 and 5, through representation and the type of justification. A mixed quantitative and qualitative study is conducted to establish bridges between algebraic thinking and computational thinking by teaching repetition patterns in…

Mathematics teacher candidates enter teacher education with knowledge that could support or limit their learning. It is therefore important to gain insights of this knowledge to inform teacher education. This paper offers such insights for prospective mathematics teachers' initial knowledge of problem solving (PS) for teaching at the beginning of…

The present study seeks to explore the mathematical connections that 13-14-year-old secondary school students establish when solving area tasks. Emphasis is placed on different mathematical objects, and the connections between them, that allow students to successfully solve the tasks. The study follows a mixed methodology using qualitative and…

The Survey of Adult Skills is a product of the Programme for the International Assessment of Adult Competencies (PIAAC) led by the Organisation for Economic Cooperation and Development (OECD). The Survey of Adult Skills aims to measure the skills needed by adults to participate in society and for economies to prosper. The 2023 survey assessed…

Many teaching strategies exist to develop critical thinking with students. Art students engage with critical thinking in a "Connected Art" workshop, implemented in three diverse Higher Education (HE) learning environments. Participants are interdisciplinary adult learners in the UK, Germany and Spain. Using joint practice development,…

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…