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.

In this article, the author describes a chemistry gas experiment that she developed with the intent of integrating inquiry and Problem-Based Learning (PBL). The lab activity follows the principles of Ambitious Science Teaching (AST). Teachers (1) engage students with important science ideas, (2) elicit students' ideas while making visible what…

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…

T&I programmes aim to produce self-reliant graduates capable of judging their own work against agreed criteria and increasing their levels of competence over the course of their careers. An essential element to achieve this goal is student-centred assessment, i.e. 'assessment as learning' (AaL) (also known as 'sustainable assessment'), which…

The aim of the study is to investigate teacher's educational needs in terms of their teaching work and scientific profile and to examine the frequency and motives of their participation in training programs. The survey focuses on Primary and Secondary Education teachers of all fields across the Greek territory. The majority of the 556 who…

This research is part of developing study on the Civic education teaching material based on PBL. This research aims to determine the process of developing the teaching material of Civic education based on PBL for the fourth-grade of elementary school in order to improve students' learning outcome. The result of the previous study shows that the…

Research methods are considered a complex and difficult subject to teach and there is limited data on innovative ways to teach it to undergraduate public health professionals. Although problem-based learning (PBL) is a common approach in various disciplines, little is published on its use in developing research skills within the South African…

The article contains the results of the study conducted in order to discover the most effective ways of developing students' programming abilities with the means of non-programming disciplines and activities. The authors observe the learning practices and habits employed by students with highly developed programming abilities and compare these…

This paper reports on the first part of a multiphase research project that seeks to identify and address the difficulties encountered by physics students when studying differential equations. Differential equations are used extensively by undergraduate physics students, particularly in the advanced modules of their degree. It is, therefore,…

Elopement occurs when an individual runs away from or leaves a supervised area. Elopement is a dangerous behavior that requires diligence from school personnel in order to effectively reduce its occurrence. Using a step-by-step process to identify the reasons goal-directed elopement occurs and then implementing an intervention to effectively teach…

Physics educators today face two major challenges: supporting the acquisition of a solid base of conceptual knowledge and reducing the persisting gender gap. In the present quasi-experimental study, we investigated the potential of physics instruction that is enriched with evidence-based cognitively activating methods, such as inventing with…

Charts that keep (public) track of whether a student's behavior is in some equivalent of a red (problem), yellow, or green ("well-behaved") zone are ubiquitous in elementary schools. This strategy based on shaming students is due to be retired because (1) it promotes only compliance, not social-emotional learning; (2) charts don't teach…

This descriptive case study approach with multiple cases and an interrupted time-series design used quantitative and qualitative data to answer two research questions: 1) What changes occur over time in the problem-solving strategies, text-reading accuracy, and phonological knowledge of struggling readers in response to targeted instruction in an…

Research shows that U.S. students continue to lag behind in science and mathematics internationally (Fleischman, Hopstock, Pelczar, & Shelley, 2010; Provasnik et al., 2012). A recent study found there is a direct link between students' mastery of academic subjects and their ability to collaboratively problem solve, a critical 21st century…

Many teachers are using the Five Practices model to guide them in orchestrating whole-class mathematics discussions that focus on understanding: (1) anticipate an array of possible student-generated solution strategies to a mathematical task before implementing the lesson; (2) monitor students' work as they grapple with the task; (3) select a…