Children's intuitive understandings of mathematical ideas--both correct, generalizable strategies alongside misconceptions--showcase the complexity of their thinking. However, recognizing children as complex thinkers is one thing but it is another thing altogether to leverage their ideas to plan for and carry out mathematics instruction. The…

This article describes how school social workers and teachers perceive their cooperation with each other with regard to pupils' well-being in Swedish schools. A total of 23 qualitative interviews were conducted with a strategic sample of teachers and school social workers. The analysis of the interview data was based on Andrew Abbott's theory of…

In "The Critical Advantage," noted scholar and early childhood expert William T. Gormley, Jr. takes a wide ranging look at the important role of critical thinking in preparing students for college, careers, and civic life. Drawing on research from psychology, philosophy, business, political science, neuroscience, and other disciplines,…

A quality education is one that best fits the present and future needs of an individual within their current society. Case-based Learning (CBL) is inquiry-based learning which allows self-directed learning, logical reasoning, problem-solving and decision-making. CBL enhances knowledge, teamwork and problem-solving skills; it is used worldwide…

Students learning the skills of science benefit from opportunities to move between the scientific problems and questions they confront and the mathematical tools available to answer the questions and solve the problems. Indeed, students learn science best when they are actively engaged in pursuing answers to authentic and relevant questions. We…

Too often, professional development (PD) sessions consist of little more than delivering lists of things teachers should know and should be doing. There is little to no follow up. There are few opportunities to think about how to adapt and apply the learning to fit your own classroom context, or to try it out and compare outcomes with fellow…

This action report presents a pedagogically-sound approach to transforming conventional EFL instruction into an active learning environment. Following a constructivist project-based learning (PBL) approach, I propose a WebQuest learning module to demonstrate how EFL teachers can capitalize on cost-effective and user-friendly website builders to…

Despite increasing college enrollment and growing diversity of the college student population, college completion rates are low. Many colleges are exploring ways to leverage technology to improve student retention and increase the educational options for and success of their diverse student bodies. Web-based course or learning management systems…

In the Spring of 2020, most educational institutions are rapidly having to convert to online education. Suddenly, instructors are no longer in the same physical space as their students. Separated from their students and colleagues, they are having to adjust their teaching approach rapidly, and are most likely learning as they go. This ubiquitous…

Counterfeiting and adulteration of prescription drugs, herbal products, and food supplements are a global challenge, causing serious economic loss to drug marketers and health implications for humans. Accordingly, accurate determination of the purity of pharmaceuticals is critical for the quality assurance of prescription drugs. Herein, the first…

Linear programming (LP) is an application of graphing linear systems that appears in many Algebra 2 textbooks. Although not explicitly mentioned in the Common Core State Standards for Mathematics, linear programming blends seamlessly into modeling with mathematics, the fourth Standard for Mathematical Practice (CCSSI 2010, p. 7). In solving a…

This analysis of a problem that is frequently posed at professional development workshops, in print, and on the Web--the coffee-milk mixture riddle--illustrates the timeless advice of George Pólya's masterpiece on problem solving in mathematics, "How to Solve It." In his book, Pólya recommends that problems previously solved and put…

In today's complex world, there is a continued demand for recently graduated forensic chemists (criminalists) who have some background in forensic experimental techniques. This article describes modern forensic experimental approaches designed and implemented from a unique instructional perspective to present certain facets of crime scene…

We introduce a class of second-order ordinary differential equations (ODEs) with variable coefficients whose closed-form solutions can be obtained by the same method used to solve ODEs with constant coefficients. General solutions for the homogeneous case are discussed.

An astronomy "experiment" composed of three parts is described in the article. Being given necessary data a simple model of inner planets of the solar system is made in the first part with planets' circular orbits using appropriate scale. In the second part revolution of the figurines used as model representations of the planets along…