The Pearson correlation coefficient can be recovered from the two least squares regression lines y[with circumflex] = b[subscript 0] + b[subscript 1]x and x[with circumflex] = a[subscript 0] + a[subscript 1]y without any data. This can be done both algebraically and geometrically. This can be done without data even when the scales of the variables…

Today's workplace is going through tremendous changes and becoming highly complex in terms of technology and tasks. Thus, critical problem-solving skills are key to creating a sustainable career in today's global economy. Indeed, the global COVID-19 epidemic has amplified the need for these skills in almost all occupations. This study examined the…

The simple vehicle routing problem (VRP) is a common topic of discussion in introductory operations research/management science courses. The VRP can be framed in a variety of ways, and it can be difficult to solve to optimality. For solution purposes, introductory textbooks demonstrate how Excel's Evolutionary Solver (ES) add-in produces a…

This paper reports on a project that sought to enhance problem-solving practices within a cluster of primary schools. In-service teachers' description of their approach to problem-solving suggested it was treated as an isolated practice that occurred after concepts had been taught; often focusing on teaching particular problem-solving strategies…

Numbers and variables often follow the same principles of arithmetic operations, yet numbers can be computed to a value whereas variables cannot. We examined the effect of symbols--numbers versus variables--on middle school students' problem-solving behaviors in a dynamic algebra notation system by presenting problems in numbers (e.g., 3+5-3) or…

Today's students will face issues and problems that are global scale and require a collaborative global effort to resolve effectively. To help prepare students to resolve these global issues, students must learn to participate in the global democratic process as part of their citizenship education. In particular, scholars argue students need to…

Learning to decode is critically important to the process of becoming literate. As such, a thorough understanding of decoding development is critical as well. Extant theories contribute to such an understanding but do not provide a complete description of decoding development; a different theory is needed to address limitations in the extant…

Approximately 50% of new teachers leave the profession of education within their first five years (Burton & Johnson, 2010; McCoy, 2019; Ingersoll & Smith, 2004; Steinke & Putnam, 2011). With such a mass exodus of teachers, schools should develop programs to promote new teacher retention (Callahan, 2016; Kent et al., 2012). Induction…

Purpose: This study aimed to identify the organizational factors necessary for an inclusive special education model as identified by special education teachers and school site administrators. Specifically, explored the importance of implementation factors (i.e., fidelity) and organizational factors (i.e., administrative support), as well as…

This qualitative research study explored the procedures and instructional practices of implementing game-based learning within a course and/or curriculum in higher education. Game-based learning is structured to integrate gameplay into a subject matter to increase a student's ability to acquire and apply knowledge to the real world. Furthermore,…

Teachers are struggling to transfer newly acquired knowledge and skills from professional learning experiences into their classrooms. This study aimed to explore teachers' perceptions of how professional learning communities (PLCs) enhance elementary teachers' instructional practices based on interviews with teachers in a rural school district.…

Academic literacy has evolved significantly over the past two decades, expanding beyond basic reading and writing skills to include a broad range of competencies essential for successful modern education. These competencies - skilled communication, critical thinking, collaboration, and digital literacy - are crucial for preparing students to…

Contribution: This study identifies the types of interaction that contribute to student learning with student-led tutorials (SLTs). The quality of these interactions include peer discussion, student tutor presentation, joint reasoning, and constructive feedback. Background: The introduction of SLTs in an advanced electromagnetics bachelor course…

Teachers in kindergarten, primary, and secondary schools use hands-on manipulatives to help students grasp concepts in areas such as numbers, operations, geometry, algebra, measurement, data analysis, and probability. These manipulatives and interactive games are essential for fostering mathematical understanding, enabling students to build,…

Background: To become qualified engineers, undergraduates must develop a contextualized epistemic cognition (EC) during the engineering design process (EDP), but little is known about their EC in the authentic EDP. This study aimed to gain an in-depth understanding of the EC and reported epistemic changes of undergraduate engineering students who…