Understanding students' mathematical thinking in problem solving process plays an important role in facilitating the solution. Hence, teachers or pre-service teachers need to understand students' thoughts and guide them to the correct answer. The aim of this study was to examine pre-service teachers' approaches to guiding students in problem…

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…

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 (+, -,…

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 study aims to investigate affordances of models and modelling in design projects in technology education. To learn more about affordances when working with models and modelling, four Swedish technology teachers were interviewed using a narrative approach. Despite a small number of informants data were rich, containing detailed descriptions of…

We examine how elementary STEAM (science, technology, engineering, art, and mathematics) teachers designed and implemented instructional practices to encourage computational thinking (CT) during problem-solving activities. After teachers created STEAM lessons aligned with state standards and CT practices, students made artifacts while solving…

Mathematical problem solving takes on many different forms and has long been established in school curricula with the terms, problems and problem solving taking on varied meanings. This article proposes a way of engaging students in mathematical open inquiry using a video clip as stimulus. It discusses findings from a recent study conducted in a…

Failure and low completion rates are a general concern at universities. We investigated the relationship between students' admission profiles, undergraduate academic outcomes and completion rates in a four-year Bachelor of Pharmacy (BPharm) programme in South Africa. The programme uses a unique student selection method and problem-based learning…

Education is an important tool which is very useful in everybody's life. A science curriculum should offer students opportunities that relate to life outside the classroom. It should provide students with situations in which they can frame and solve problems of their own making; and it should be supportive of students. Teaching methods and…

Understanding sustainability requires a system-wide perspective to guide the interpretation of problems and conceptualization of solutions. A lake sustainability Trust provided an opportunity for students to gain this perspective by examining societal, commercial, and environmental policy perspectives associated with a local endangered lake and…

The end of the COVID-19 pandemic is in sight, but it brought tremendous challenges and opportunities to academia. This paper analyzes the equilibrium between teaching laxity and strictness and corresponding outcomes through the lens of the approach-avoidance framework. On one side, instructors are likely to allow flexibility in course policies and…

The current study, aimed to examine the development of flexibility and strategy use through instructional sequence encouraging the preservice middle school mathematics teachers' geometric thinking and problem-solving performance on dynamic geometry environment. Mixed-method research design was used in the study. The study was conducted with 46…