A hallmark of effective teaching is that it grants learners not just a collection of facts about the world, but also a toolkit of abstractions that can be applied to solve new problems. How do humans teach abstractions from examples? Here, we applied Bayesian models of pedagogy to a necklace-building task where teachers create necklaces to teach a…

This paper explores the affordances of learning experiences gained in undergraduate students' professional ethics courses during the pandemic. The article also touches upon the possible contributions of the practices within the scope of the professional ethics course to students' professional and personal lives. Action research was used.…

Dimensional analysis is an algorithm currently in use in almost every chemistry classroom in the United States. Chemistry educators use this procedural tool in the classroom with the intention of providing students with a reliable method to solve many of the relatively simple math problems they encounter. The unintended consequence of using this…

Problem solving, and specifically the goal of developing problem-solving competences, is a significant dimension of environmental education. Moreover, human senses and electronic sensors have been recognized as important tools in authentic problem-based learning. The purpose of this paper is to present a model to support teachers in creating…

Mathematical writing in school is difficult to teach. Reasons include that it is a domain in which there are rules for some parts of the writing like for example mathematical notation while others must be negotiated locally in the classroom. Writing is also seldom separated from the process of solving mathematical problems, creating a situation…

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…

Case-based learning (CBL) is a learner-centric educational approach that fosters independent learning and exploration through case analysis, guided by teachers' heuristic instruction. The study aimed to evaluate the efficacy of CBL versus traditional teaching methods in advanced breast cancer education for residents. In this randomized controlled…

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…