The aim of this paper is to review some studies conducted with different learning areas in which the schemes of different participants emerge. Also it is about to show how mathematical proofs are handled in these studies by considering Harel and Sowder's classification of proof schemes with specific examples. As a result, it was seen that the…

Realistic Mathematics Education (RME) has gained popularity worldwide to teach mathematics using real-world problems. This study investigates the effectiveness of elliptic topics taught to 10th graders in a Vietnamese high school and students' attitudes toward learning. The RME model was used to guide 45 students in an experimental class, while…

Mathematical problem solving is a complex cognitive activity, which poses difficulties for students with and without disabilities in inclusive learning environments. With a variety of functions, Learning Management Systems (LMSs) have the potential to enhance personalized learning to meet the diverse needs of all students. This paper provides…

During the COVID-19 pandemic, all on-campus activities were required to be adapted to a distance-learning format, which was especially challenging for practical courses. Molecular biology is a mandatory course for biology undergraduates at Universidade Federal Fluminense. To overcome the impossibility of practical activities, we proposed…

Background: Problem-solving is a multidimensional and dynamic process that requires and interlinks cognitive, metacognitive, and affective dimensions of learning. However, current approaches practiced in computing education research (CER) are not sufficient to capture information beyond the basic programming process data (i.e., IDE-log data).…

Literature typically describes mathematization, the process of transforming a real-world situation into a mathematical model, in terms of desirable actions and behaviors students exhibit. We attended to STEM undergraduate students' quantitative reasoning as they derived equations. Analysis of the meanings they held for arithmetic operations (+, -,…

The number line is a model that is used to measure, count, order and even operate, which requires a symbolic interpretation. Then, we investigate the conceptions of 72 in service secondary teachers, when they manage the model of the number line associated with order, spatial location and the relative position between numbers and marks. In a…

The main purpose of the current study is modifying students' daily drinking water and managing waste water through modelling activities as context and modelling cycle as tool. In this study, 12 students (13-14 years old) from the lower secondary school were participated. These students were participated in two sessions (60 minutes) each week for…

Central elements of adaptive expertise in arithmetic problem solving are flexibility, using multiple strategies, and adaptivity, selecting the optimal strategy. Research shows that the strategies children actually use do not fully reflect the strategies they know: there is hidden potential. In the current study a sample of 147 third graders from…

The purpose of this meta-analysis is to examine the effect of problem-posing on students' mathematical academic outcomes, including problem-solving skills, problem-posing skills, mathematical dispositions, and mathematics achievement. Twenty-one studies that were published between 1990 and 2019 with problem-posing as the intervention were included…

There is some consensus among academics and employers that transversal competencies are one of the key aspects in training people to adapt to the demands of today's world. Universities make a great effort in the design of training programs, in preparing their teachers in training methodologies and in the evaluation systems to guarantee that their…

The authors illustrate how using design thinking allows learners to empathize with the perspectives of others, engage in collaborative problem-solving, practice communicating effectively, and respond to struggle or failure throughout the process.

The integration of mathematics and science in teaching facilitates student learning, engagement, motivation, problem-solving, critical thinking, and real-life application. Although curriculum integration is theoretically desirable for many educators, what to integrate and how to integrate are often the big questions facing teachers working within…

The purpose of this paper is to integrate mathematical modeling and ecology by presenting an activity involving an authentic environmental problem, which is called "Pine Processionary Caterpillars Invasion." Adopting Mathematical Modeling and Education for Climate Action (EfCA) approaches, it was aimed to encourage pre-service teachers…

Increasing learners' sense of presence is important in professional training, in particular, when aiming to foster their competences of making judgements and solving problems when facing real cases. However, in conventional training programmes, sometimes it is difficult to situate learners in real cases owing to several considerations, such as…