NP-complete problems such as the traveling salesman problem (TSP) play a prominent role in most advanced undergrad/graduate courses in discrete optimization modeling. Teaching such an important topic from a purely mathematical perspective without discussing specific applications may result in reduced student interest and motivation. The DeLand…

This paper will discuss why technical skills alone will not be enough for students to have successful careers in the digital age. Much of their success will hinge on critical soft skills, such as adaptability, inner strength, holistic thinking, and a collaborative spirit. Examples will be provided for inclusion with a computer science program, but…

Background and Context: Subgoal labeled worked examples have been extensively researched, but the research has been reported piecemeal. This paper aggregates data from three studies, including data previously unreported, to holistically examine the effect of subgoal labeled worked examples across three student populations and across different…

In this study, customized videos and chapter handouts served as pre-class materials for semi-flipped General Chemistry II courses. Face-to-face class time involved engaging students in interactive problem-solving sessions on the board with the instructor and collaborative group activities. During the interactive problem-solving sessions, students…

A previous study found that task shifting and fluid intelligence, but not working memory capacity (WMC) and prior knowledge, influenced the worked example effect (Schwaighofer, Bühner, & Fischer, 2016). To increase confidence in these findings, we report a preregistered extended replication study of Schwaighofer et al.'s investigation.…

In a qualitative study of the nature of "musical communication during scaffolding" music learning, the most important themes to emerge reflected the role of musical communication in blossoming young learners' expressive agency. The study focused on two different groups of young piano learners (aged 4-9) during collaborative (listening,…

Students in upper secondary education encounter difficulties in applying mathematics in physics. To improve our understanding of these difficulties, we examined symbol sense behavior of six grade 10 physics students solving algebraic physic problems. Our data confirmed that students did indeed struggle to apply algebra to physics, mainly because…

This study aims to determine whether there was differences effect in improving student's critical thinking skills (1) between students who get Problem-based Learning, Mathematical Problem Posing, and conventional learning, and (2) based on gender differences. This study used a quantitative method with the pre-test-posttest two treatment design.…

This study aims to examine the effect of Problem Based Learning learning strategies, cognitive styles, and their interaction on students' problem-solving ability in social studies subjects. The type of this research is a quasi-experiment with nonequivalent control group design. The number of samples used was 120 students consisting of 60 students…

In this work we present the design of a computer-based environment aimed at engaging primary school children in argumentative practices while solving a story problem. Argumentation has been regarded from two points of view, both as a process and as a product. Students, using the collaborative tools offered by the platform, co-constructed shared…

Importance of online learning has become more critical with the advent of a global pandemic. Effective online learning requires design characteristics that support learning that crosses traditional disciplinary boundaries. The example of educational delivery of food safety encompasses multiple disciplines to prepare students for real-world…

For many years, Techbridge Girls focused its weekly sessions on stand-alone lessons that asked participants to develop products that fulfilled specific criteria, such as "create the bounciest rubber ball," "build the tallest paper tower," or "design the largest bubbles." These activities typically lasted one or two…

The main objective of this research was to develop and validate the quality of an assessment tool for evaluating the mathematical reading, analytical thinking, and mathematical writing skills of fourth-grade students. We randomly selected 222 fourth grade students across multiple schools of varying sizes to take the assessment. Multidimensional…

Problem solving is a basic skill needed to function effectively in the working environment. Teachers are no exception to this professional demand. It is of utmost importance for teacher education programs to prepare pre-service teachers with this fundamental competency. The DPACE model is a preliminary effort by two teacher educators to enhance…

Visual thinking plays an essential role in solving problems and in learning mathematics. Many students do not understand how to graphically or geometrically represent problems and solve algebra problems. Visual thinking is the ability, process, and results of creating, interpreting, using, and imagining images and diagrams on paper or with…