Sudoku is a puzzle that has a unique solution. No matter how many methods are used, the result will always be the same. The player thought that the number of givens or clues, the initial value on the Sudoku puzzles, would significantly determine the difficulty level, which is not necessarily correct. This research uses two search algorithms,…

In contrast to normative ethics, which emphasizes determining whether a person or action is good or bad and developing codes to govern individual behaviors, applied ethics focuses on the application of ethics to real-world problems and contexts of practice (Ethics Unwrapped, n.d.). In design-oriented disciplines such as instructional design and…

We adapt the Lanchester combat model to represent conflict between vampires and humans. It is assumed that vampires attack humans during the hours of darkness whilst humans attack vampires during the hours of light. The right-hand side of the differential equation model therefore depends upon the hour of the day. A key insight is that to answer…

This paper contains an analysis of some early thinking of 94 young children aged 5 years 7 months to 6 years 5 months. These children were interviewed as part of a larger study of the multiplicative thinking of children who were midway through their first year of school in Australia. They had not been formally taught multiplication or division at…

A common exercise given to students early in a molecular biology course is the creation of a restriction map of a plasmid "digested" by two restriction enzymes (RE). Meanwhile, students have learned from an early age about the properties and analyses of circles in their mathematics courses. But it is rare for students to learn using…

Humans routinely use external thinking tools, like pencil and paper, maps, and calculators, to solve cognitive problems that would have once been solved internally. As many youth face unprecedented exposure to increasingly capable technological aids, there is a growing pressure to understand children's cognitive offloading capacities and…

A core challenge for any organization is to create highly functioning teams that creatively and effectively find solutions to complex challenges. The authors propose the foundation of creating such teams is for the team to develop a shared understanding of the requisite knowledge of everyone on the team and then recombine that knowledge to find…

"Improvement Science in Education: A Primer," second edition, is the first and introductory volume in the Myers Education Press series, "Improvement Science in Education and Beyond." It provides a comprehensive overview of improvement science as a framework to guide continuous improvement and reconceptualizes improvement by…

This study investigates the underlying patterns in elements of creativity conceptions among researchers using Q-methodology. Participants, who had published work on creativity, completed a Q-sort of 90 items related to creativity conceptions. The data analysis identified four distinct components: one emphasizing innovation and uniqueness, another…

Random Equating (RE) and Heuristic Approach (HA) are two linking procedures that may be used to compare the scores of individuals in two tests that measure the same latent trait, in conditions where there are no common items or individuals. In this study, RE--that may only be used when the individuals taking the two tests come from the same…

The hanging rope problem is considered. The rope is subject to rotation with the rotation axis being parallel to the rope. Using a continuum model and the basic principles of dynamics, the differential equation governing the motion is derived. The dynamic equilibrium case without vibrational motion is assumed in deriving the equation. The equation…

Drawing upon social learning theory, this study discusses entrepreneurial learning by including personal, social, and environmental factors as drivers of entrepreneurial learning and simultaneously exploring their mediator and moderator. Empirical tests are conducted using the data of graduate students in Taiwan. The test results show (1)…

A common distinction in engineering problems is classifying them as well-structured or ill-structured. It is assumed that classroom problems are well-structured while workplace problems are ill-structured. However, we cannot find empirical data to confirm or deny the claim that the bulk of classroom problems are well-structured. This research…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

There is currently little physics education literature examining thinking and learning in graduate education and even less literature characterizing problem solving among physics graduate students despite this being an essential professional skill for physicists. Given reports of discrepancies between physics problem solving in the undergraduate…