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…

Students' issues dealing with reflection tasks, especially with inclined mirror lines, are widely known. Previous research conducted with primary school students mainly focussed on task difficulty and students' outcomes, especially their errors of reflection. Little is known about which not obviously sustainable understanding of reflection leads…

This research conceived multivariate learning concepts and aimed at the implementation of integrating artificial intelligence (AI) life learning of face recognition, self-driving, and robots' situational issues into problem-based learning (PBL) in natural science. This research put forward problem-solving and group cooperation in which students…

This research aims to determine the relationship between school principals' problem-solving skills, burnout levels and self-efficacy beliefs. A quantitative relational design was used in the study. The sample of the research consists of 224 school principals working in Balikesir. In the research, "Problem-solving Inventory",…

The purpose of this study is to analyze the various characteristics of teacher's question to find out whether teachers who teach STEAM classes are conducting effective classes that can stimulate creativity and improve problem-solving skills. For the purpose of the study, the video recording data of the 8th hour of the STEAM class by two special…

We implemented a single-case research design (SCRD) with a small sample (N = 2) to assess the effectiveness of solution-focused brief therapy (SFBT) for Latine clients experiencing mental health concerns. Analysis of participants' scores on the Dispositional Hope Scale (DHS) and Outcome Questionnaire (OQ-45.2) using split-middle line of progress…