Employing authentic cases experienced by practitioners in educational contexts is critical to expanding students' experience and engaging students in authentic problems to promote their real-world problem-solving skills. Although in real life, practitioners experience both success and failure and learn from both, little research has been done so…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

This paper presents a teaching experiment with preschoolers, considering games as means for presenting problem-based situations and focusing on the development of game design in connection to problem posing skills. The study was conducted in a focus group of eighteen 5-6-year-old students who participated in game design sessions, compared to a…

The motivation behind this examination is to present the theoretical structure of Modeling Activities, which is believed to be a vital device for mathematics instruction. Modeling activities are defined as activities to figure out complex problems faced in real life situations that require the creation of a mathematical model as a product. In…

Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.

The study reported on here aimed to examine the effectiveness of the successful intelligence interactive module (SIIM) that employs thinking skills using the successful intelligence theory. This was an empirical study that used mixed method analysis. The rationale for the development of this interactive module was to increase the analytical,…

Climate education is increasingly being taught in schools, and groups are looking to pass climate education into law. This article looks at climate justice, a framing of the overarching climate movement, to advocate for an education that inspires action. Drawing from Freire's 'Pedagogy of the Oppressed', it makes a case for problem-posing…

"When you hear hoofbeats, look for horses, not zebras." This common saying in medicine (often attributed to Theodore Woodward, MD, of the University of Maryland School of Medicine) advises doctors to stick to the expected or likely diagnosis, rather than anticipating an unusual or atypical one. As a result, uncommon medical diagnoses are…

This article analyses the impact of the role and significance of the virtual laboratory on ninth-grade lyceum students' attainment of more-in depth scientific knowledge and improved practical skills in the physics topic area of electromagnetism. Pedagogical experiments were conducted at the Baku European Lyceum. The results show that the virtual…

In this paper it is demonstrated how the free, and easily downloadable, software package called SMath Studio can be used to set up a model of alpha-particle scattering. The basic physics of the motion of an alpha-particle in the nuclear coulomb field is used to produce a simple stepwise computer algorithm which, in conjunction with a novel set of…

Common student errors and misconceptions can be addressed through the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small-group discussion, each student votes on the correct answer, using a clicker or a phone. If a large number of students have…

Collaborative learning requires a structured and open environment where individuals can actively exchange and elaborate their ideas to achieve a high-quality problem-solving solution. The use of concept map has been extensively implemented to facilitate idea generation and maintain shared focus during discussion. This study employs the Reciprocal…

Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…

This study aims to investigate problem-solving with dataset (PSWD) as a computational thinking learning implementation as reflected in academic publications. Specifically, the purpose is to specify the scope of PSWD, which overlaps with the data literacy, thinking with data, big data literacy, and data-based thinking concepts in the literature.…