Providing quality hands-on exercises in a GIS course is essential in enhancing problem-solving skills and student-led learning activities. However, the strategies and instructional methods of managing hands-on exercises, which have been used in traditional face-to-face classes, will require new interpretations in a virtual learning environment and…

Traditionally, students experience difficulties solving problems involving geometric shapes and their properties. In line with the current curricular guidelines, it's important to reflect about the use of active learning strategies, which directly engage students in meaningful mathematical activity, that contribute to reverse this situation. This…

Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

Successful problem solving is a complex process that requires content knowledge, process skills, developed critical thinking, metacognitive awareness, and deep conceptual reasoning. Teaching approaches to support students developing problem-solving skills include worked examples, metacognitive and instructional scaffolding, and variations of these…

The purpose of this study is to gain understanding of how secondary teachers conceptualize the relationships between mathematical modeling and problem solving. Eight secondary teachers participated in semi-structured, think-aloud individual interviews. Some conceptualizations include (a) modeling and problem solving are two distinct processes; (b)…

Human bodies vary widely: height, weight, blood volume, handedness, strength, and variations from disabilities, trauma, genetics, etc. Engineers must be trained to include human variance when designing human-interactive systems. Typically, this is not incorporated into mathematical and modeling focused courses. In the spring of 2019, one of three…

Computational Thinking (CT) is a problem-solving process applicable across all disciplines. It has been defined as a 21st-century skill (Wing, "Communications of the ACM," 49(3), 33-35, 2006). Unfortunately, little pedagogical research is available to guide teachers and designers when devising a CT course. This study addresses this issue…

Nurturing autonomous learners is a fundamental instructional goal, aimed at honing students' problem-solving skills for use in later educational and career experiences. The study explores the results of a yearlong program providing professional learning to mathematics student teachers with the aim of nurturing mathematically talented students…

The article describes a methodology for studying Fresnel diffraction with the active involvement of students in discussing the results of a demonstration experiment. To create a clearly visible model of Fresnel zones, a centimeter radio wave range was chosen, in which the first zone is about 10 cm in size. This makes visible the created…

Purpose: Problem solving skills (PSS), an important component of learning outcomes, is one of the desirable skills in engineering graduates as stated by many employers, researchers and government bodies in India for a strong foothold in professional world. There is a need to develop comprehensive understanding and integration of theory (concept)…

The research presented is of an investigation into the critical thinking (CT) and problem solving (PS) abilities used by high school technology and engineering (T/E) students when attempting to achieve a viable solution for an authentic engineering design-no-make challenge presented outside the context of the classroom in which their STEM content…

The paper offers three examples of passionate immersion with strange objects and working with peculiar multispecies assemblages, such as the assemblage of a dove called Romeo and the technology to humidify a greenhouse called 'Princess', or the experiment of orienteering in forests for years, accounting for slips, scratches and tumbles as being…

Effective learning is viewed as an evolutionary process, and as such, it involves an expanded version of the Crenshaw-Collins view of "intersectionality." It demands an in-depth view of the complex socio-cultural-ethnic milieu in which students are embedded. Even more, effective learning requires effectance problem-solving, investigation…

STEM education and research has gained popularity internationally over the last decade. However, there is a lack in specifications in existing K-12 STEM classroom observation protocols of how features of an integrated STEM experience/lesson would lead to desired outcomes and how those outcomes should be measured. To bridge this gap, we propose the…

This study investigated the sustainability effects of the schema-based instruction (SBI) program and corresponding PD on the instructional practices of two cohorts of teachers (i.e., SBI experienced-teacher implementers and SBI novice-teacher implementers) and on students' ability to reason with proportions and overall mathematics performance. SBI…