Demand is high for graduates entering the professional aviation and aerospace workforce with resilience competencies like adversity persistence, contextual awareness, being self-directed and autonomous, handling change, and ability to establish peer relationships. Research shows resilience competencies are particularly emphasized as essential…

We re-examine a Malawian teacher's lessons which, using the framework of mathematic problem-solving developed by Polya, the typology of levels of task demand from Stein and colleagues and Malawi's description of learner-centred education (LCE), were described as teacher-centred and evaluated as 'not good'. We studied seven video-recorded circle…

This study aims to grow the literature by examining the "how" of disciplinary literacies (DL) elementary mathematics instructional practices in teacher education, which is under-reported. Using qualitative case study methods, we examined how one cohort of elementary preservice teachers (PTs) enacted the DL instructional practices in…

Practical problem solving is not common in many mathematical classes in Malaysian upper secondary schools. Usually, students receive the mathematical concepts through abstract materials (students cannot see some of them in their daily life). Thus some students believe that 'mathematics is not necessary for human life'. In this article, the…

This article presents the results of five open-ended surveys administered to two Advanced Placement classes in a primarily White high school in upstate New York. Surveys sought to explore how students make sense of the course diversity selection, Chinua Achebe's "Things Fall Apart," which was inserted into a primarily White textual…

We investigate aspects of reform enacted in 66 class observations from 18 institutions collected as part of the National Study of University Calculus in the US. We examined four aspects related to how problems were solved in class: the extent of student involvement, the representations and technology used, and specific features of the problems…

Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…

An inequality concept has an important role; even in advanced mathematics, inequality assists in analysis and proof. However, students' understanding of inequality is not satisfying. The fact shows that students experience difficulties and errors in solving inequality problems. These difficulties and errors are not intentional or do not result…

Problem solving is considered one of the most critical competencies for life. However, many students may perform well in school yet cannot transfer the skills they learned in school to solve real-world problems, especially in science education. This study discusses the characteristics of the problem from the physics education perspective, based on…

Mathematical resilience is a student's ability to survive and be positive when facing difficulties and anxiety in learning mathematics as indicated by the ability to work collaboratively with groups, and have language skills to communicate mathematical understanding. Learning mathematics online caused various negative conditions for students;…

The aim of this study was to examine how fifth grade students' critical thinking and problem-solving skills can be developed using practices based on Newman and Weglage's (1993. Five standarts for authentic instruction. "Educational Leadership," 50(7), 8-12) authentic learning standards ("high-order thinking," "depth of…

Originally developed in the field of design, design thinking is widely used as a pedagogical tool to help non-designer students cultivate creative thinking and problem-solving skills. Despite its positive effects on student learning via increased motivation, openness to new ideas, and creative thinking, the understanding of design thinking is…

Based on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in the subject of Ordinary Differential Equations.…

This article presents how Problem- and Project-Based Learning (PBL) in engineering education can exploit the theoretical framework of the Space-Time (ST)-Continuum, according to which educational contexts can be classified in terms of the tightness vs. looseness of the relevant conceptual space S and available time T. By crossing these two…

This paper presents a fine-grained process analysis of 22 students in a classroom-based learning setting. The students engaged (and failed) in problem-solving attempts prior to instruction (i.e., the Productive-Failure approach). We used the HeuristicsMiner algorithm to analyze the data of a quasi-experimental study. The applied algorithm allowed…