The main goal of both special education and inclusive education for young people with learning or behavioral difficulties is their maximum inclusion in the community as adults. The question of which of these two approaches is more likely to achieve this goal is addressed by considering the findings of three outcome studies of young people with…

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…

The increase in student engagement in the learning process has driven educators to use more dynamic pedagogical methodologies. Several studies have shown evidence of increased interest in learning when real-world problems are integrated into the learning environment. This paper presents the competencies developed by higher education students…

Problem-solving skills are advantageous when resolving complicated and multidimensional challenges. Problem-solving skills can be developed through active learning models that engage students in the learning process. One active learning model is RICOSRE. The main focus of RICOSRE is problem-solving activities in (1) reading; (2) identifying the…

One of the crucial 21st-century digital skills, in the context of digital transformation, is problem solving--equally so in the fields of science, technology, engineering, and mathematics (STEM). In the context of kindergarten, learning through play is central; therefore, pretend play, and particularly guided pretend play, is suggested as an…

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…

This paper focuses on difficulties that primary school students have in facing mathematical word problems. In particular, we are interested in exploring how they develop in the transition from grade 2 to grade 5. The research basis of the hypothesis is that some difficulties detected in grade 5 are already predictable in grade 2. Starting from the…

The role of mathematics in several scientific disciplines is undisputed; work and everyday life take great advantage of its application. Nevertheless, students often tend to not particularly like it and to consider it of little interest. It is also believed that only people with a certain attitude are capable of mastering the subject. In…

There are myriad understandings of design that have evolved over time and vary by the industries and disciplines that practice it. In the engineering context, design is often described as a process or problem-solving ability. Through interviews with 12 experienced engineers, it was found that there are diverse understandings of the relationship…

The complex nature of contemporary challenges requires a culture of cooperation between academic disciplines. However, to what extent do educational systems prepare students to think beyond the boundaries of austerely defined and often entrenched academic fields? UNESCO has successively called for Environmental Education, Education for Sustainable…

Employing student-driven project work in a higher education setting challenges not only the way in which we understand students' learning and how we define the expected learning outcomes, it also challenges our ways of assessing students' learning. This paper will address this question specifically and illustrate with a case that highlights some…

The research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deductive reasoning, as they require rule checking and…

Derived math fact fluency becomes more imperative across all mathematical content areas during a students' mathematics development. However, many of them struggle to automate the most basic math facts sufficiently and therefore are not able to deal with more complex mathematical problems. This leads to the fact that many of them are already left…

This research proposes a didactic strategy to enrich the assimilation processes of the change of variable theorem in solving the definite integral. The theoretical foundations that support it are based on the contributions of social constructivism, problem solving, and treatment of theorems. The practical validation of the strategy is carried out…

The aim of this work is to study the knowledge that 11 to 12-year-old pupils have about the different meanings of fractions. For this purpose, an investigation about the ability that 11 to 12-year-old pupils have with fraction problems through problem posing is performed. In particular, we analyze if they pose different types of problems depending…