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…

Pictures are commonly used to represent problems. However, it is unclear how the addition of pictures affects students' problem-solving performance. The multimedia effect in problem solving describes the phenomenon whereby an individual's problem-solving performance is enhanced when equivalent pictures are added to illustrate or replace part of…

The geometric habits of mind are a process that enables the adoption of ways of thinking about the problems encountered and that works for filling the gap between the results and the thoughts behind these results. It is also important that which cerebral hemisphere activates the geometric habits of mind, so geometric habits of mind and hemispheric…

Online research methods have become increasingly important over the past decades. However, there is still a lack of research on the potential advantages and disadvantages of certain qualitative online research methods. This research note discusses key aspects of conducting synchronous text-based online focus groups and provides researchers with…

Substantial research in teaching and learning has supported the use of active learning strategies in the classroom to improve student learning of fundamental physics concepts and problem-solving skills. The use of worksheets in class has become a widespread successful practice. In this paper, we analyzed numerous completed student worksheets to…

The article positions mixed-method research (MMR) as a principled complementary research method to the traditional quantitative and qualitative research approaches. By situating MMR in an analysis of some of the common research paradigms, the article presents it as a natural choice in order to complement and cater to the increasingly complex needs…

The standard of critical thinking in this study, namely: first, interpretation is on a problem can showing/ writing what they know and what is asked about the problem correctly; second, analysis is the activity of identifying the relationship between statements, questions and concepts in a problem through making mathematical models and accompanied…

Children and young adults who require special education services within schools often bring with them a complex medical history. At times, student needs are visible and apparent to all who interact with them, while other times these are harder to discern. Understanding a child's medical diagnoses, interventions and possible negative impact on a…

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…

The purpose of this study is to determine to what extent problem-solving skill contributes to the prediction of lateral thinking. The sample of the research consisted of 475 undergraduate students, more specifically 357 female (75.2%) and 118 male (24.8%) students, attending the Faculty of Education at Çanakkale Onsekiz Mart University in…

Research has found that factors such as content, prompts, and individual motivational differences affect instructional effectiveness. While instructional effectiveness is acritical outcome variable, the limited availability of instructional time results in instructional efficiency being acritical consideration. This study evaluated whether varying…

Pre-service and beginning in-service science teachers enrolled in a university teacher education program participated in a project to support their teaching through a lens of sustainability. While they demonstrated active and positive engagement, I considered the possibility of any students reacting negatively to the course material and doing so…

The historical turn in social science has prompted scholars to engage with the work of historians on a large scale. Here, social scientists face two standard problems of selection bias: confirmation bias and convenience sampling. So far, the record of dealing with these problems has been poor, and little has been done to specify how social…

The use of approximations in solving problems in sciences can be vital for students. Order of magnitude estimation also helps with physical understanding of the quantities involved in a calculation. For example, in the first exam in a first-year class in chemistry the student must find the mass in grams of an atom; a couple of students will…

Number fact knowledge spans far beyond conventional automatic mastery practices involving rote learning. Having the ability to automatically recall number facts fluently does not mean students will have strong conceptual understanding. This article provides suggestions for how number fact thinking and fluency might be developed in primary…