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…

This paper sheds light on an intellectual dispute on the purpose of problem-based learning that took place in the 1970s between two major figures in the history of PBL: Howard S Barrows from McMaster University and Henk Schmidt from Maastricht University. Using historical evidence from archive materials, oral history accounts and contemporary…

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…

Several investigations have revealed that students tend to exclude their real-world knowledge when solving simple, routine-like mathematical word problems. The current research is a cross-sectional developmental analysis with students from grade 2 to 10 (N=1346). Other than describing the development (or lack thereof) in students' realistic…

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…

This article explores the concept of being an intrapreneur and a hybrid professional. An intrapreneur is a person who fills a need and starts programs, products, or services inside of a company or nonprofit as opposed to starting from nothing, which is what entrepreneurs do. A hybrid professional is someone who integrates multiple professional…

Estimation skills are critical for students in the 21st century. The ability to estimate or approximate is widely accepted as fundamental to problem solving, and important for checking the reasonableness of results. (Dowker, 2003; Reys & Reys, 1989). Therefore, estimation should be an important aspect of problem solving in all year levels but…

The aim of this study is to analyze the relationship between intellect and creativity level of students with gifted, and to understand the relationship between their creativity level and creative problem solving skills. The target group of this study consists of a total of 20 primary school students between the ages 7 and 10; it is determined by…

This article reports on a 4th-grade problem activity implemented as part of a 4-year longitudinal, design research study across grades 3-6. The activity integrated the four STEM disciplines through a focus on design. Following investigations of their feet measurements and shoes, two classes of 9-year-olds explored the roles of designers and…