Failure is an inevitable human experience, which can offer great learning opportunities. Yet, in current educational contexts, failure has largely been eschewed to minimize students' frustration and confusion. Such a failure-avoidance approach is also reflected in the cases used for instruction. To maximize learning, more studies are needed to…

A selection of secondary school mathematics textbooks from twelve countries on five continents was analysed to better understand the support they might be in teaching and learning mathematical problem solving. Over 5700 tasks were compared to the information provided earlier in each textbook to determine whether each task could be solved by…

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.

Cognitive load can play a key role in learners' abilities to solve complex problems like mathematics. Many factors can affect the presence of cognitive load in learning including instructional strategy, task difficulty and prior knowledge. To understand the interaction of above factors and their influence on learner cognitive load and performance,…

In the process of problem solving, intuitive thinking leads to findings that go beyond gaps and plays a decisive role in problem solving. Considering that problems often need to be solved in groups rather than by individuals, it is necessary to examine how intuitive thinking expressed by individuals is shared and elaborated among peers in a group…

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,…

The literature emphasizes the interest and need to learn the concept of continuity with understanding, although this meaning it is not consensual nor specified how it may emerge and be developed in the learning process. In this paper we report the results of a study aiming to analyse Brazilian preservice mathematics teachers' understanding of the…

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…

Responding to Patricia J. Smith's essay on the appropriateness of professionalizing honors education, the author argues that discussions of specialization and standardization across honors programs should be suspended until academia has sufficiently dealt with the endemic problem of undercompensated contingent labor. The author further suggests…

Growing interest in integrated science, technology, engineering, and mathematics (iSTEM) education has been promoted as one way to increase innovation capacity, support future employment, and enhance learning outcomes in K-12 education throughout the USA. Existing efforts to construct iSTEM curricula have largely focused on finding points of…

What constitutes learning in the 21st century is the capacity for e-learning. Integral components of e-education are training content management systems. Existing content generators more transform content than create original content. Creating a methodology and technology for generating original content is important and relevant. In order to form…

Relational understanding constitutes students' awareness of appropriate procedures to solve problems along with logical reasoning. It is pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated…

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…