Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

The increasing prevalence of online courses has highlighted the importance of digital literacy for students. This study investigates the relationship between digital literacy and academic achievement among students who participate in an online course on anatomy and physiology. The study also evaluates how different aspects of digital literacy,…

Since 2015, the Taiwan government has endeavoured to uphold maker education for all-level schools. In addition to "learning by doing" or "learning through play", maker education believed to have varied features that set it apart from preceding pedagogical approaches and have possibility to reform learners' requisite…

Although past research has documented that school leaders and teachers lack legal knowledge, this study is the first to ask the critical question whether legal training affects educators' actions and attitudes. School leaders and teachers responded to a survey in the years after completing a graduate-level school law course. They indicated that…

Nowadays environmental issues challenge the educational field to cultivate problem solving process and creative thinking skills in students. The objective of this research was to observe the problem solving process and creative thinking of students at State Senior High School in Klaten Regency in solving the ecosystem problem based on the academic…

Ariadne is a touch-based program for the learning of homotopies of paths, without the use of formalism, by building mental models. Using Ariadne, the user can construct points, paths by dragging points and homotopies by dragging paths as well as compute winding numbers of paths, all on a variety of surfaces, through touch gestures. Ariadne…

Background: Engineering students inconsistently apply equilibrium when solving problems in statics, but few studies have explored why. Visual cognition studies suggest that features of the visual representations we use to teach students influence what domain knowledge they use to solve problems. However, few studies have explored how visual…

Constructing an intuitive theory from data confronts learners with a "chicken-and-egg" problem: The laws can only be expressed in terms of the theory's core concepts, but these concepts are only meaningful in terms of the role they play in the theory's laws; how can a learner discover appropriate concepts and laws simultaneously, knowing…

We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…

The Corvette Problem is a nonroutine investigation, one that provides an authentic context to explore many interrelated calculus ideas. In our years of sharing this problem with students and colleagues, we have found additional topics from the calculus curriculum to have rich interpretations in this environment. The Corvette Problem contextualizes…

This research explored the relationship between mental fatigue and creativity by testing the creative potential of 25 Keene State College students, half of which were subjected to mental fatigue. Little research has been done to look at these 2 variables together, but considerable research has been done on them individually. Using an…

The effect of napping versus wakefulness was studied on primed and repeated Remote Associate Tests (RATs) and on divergent creativity tests. The participants were 42 students from the USA, studying international courses at a Swedish university. The hypotheses for the RATs were (1), when the correct answers were primed before the nap, the RAT…

When solving a mathematical problem, students who do not have sufficient conceptual understanding may perform poorly and exhibit misconceptions. This study was aimed to examine students' conceptual understanding and significant misconceptions when solving number sense-related problems. An online three-tier diagnostic test was administered to 125…

Teaching and learning of differential equations (DEs) have a prominent role in all the fields of education. In spite of its prominence and frequent applications, teaching and learning of DEs is still considered as one of the most difficult, particularly at pre-university level. This is because, the topic of differential equation along with…

This paper introduces and summarises a programme of German research into teaching started 20 years ago. This research draws on Herbart's analysis of teaching with its focus on 'Bildung' (formation) which is distinguished from the measurement/psychometric tradition. It offers the possibilities of a deeper empirical understanding of pedagogical…