In the article, we prove 18 inequalities involving inradius, a length of one side and one additional element of a given triangle. 14 of these inequalities are the necessary and sufficient conditions for the existence and uniqueness of such a triangle. All proofs are based on standard methods of calculus and can serve as a good demonstration of the…

In academic writing, Second Language (L2) writing teachers play an active and vital role in the success of L2 writing students' academic writing journey. With the advances of technology, digital writing tools increase their acceptance and usability as a language learning tool. One of this emergent digital software is "Grammarly."…

One of the challenges of discussing validity arguments for machine scoring of essays centers on the absence of a commonly held definition and theory of good writing. At best, the algorithms attempt to measure select attributes of writing and calibrate them against human ratings with the goal of accurate prediction of scores for new essays.…

Energy is a disciplinary core idea and a cross-cutting concept in the K-12 Framework for Science Education and the Next Generation Science Standards (NGSS). As numerous authors point out, the energy model in these standards emphasizes the connections between energy and systems. Using energy ideas to interpret or make sense of phenomena means…

Secondary teachers use digital resources for teaching, yet little is known about how they find, evaluate, organize, and share these resources. This basic qualitative study was conducted to fill the gap and examine the experiences and practices of secondary educators in curating digital resources. Findings on how teachers manage digital…

Nowadays, SPOCs (Small Private Online Courses) have been used as complementary methods to support classroom teaching. SPOCs are courses that apply the usage of MOOCs (Massive Open Online Courses), combining classroom with online education, making them an exciting alternative for contexts such as emergency remote teaching. Although SPOCs have been…

Computational chemistry modeling activities that took place as part of a course in physical chemistry are described. The main software tools used by the students were Avogadro and ORCA, which are freely available on the Internet for academic use. Avogadro is molecular visualization software, which can be used not only to prepare input files for a…

One of the main goals of assignments in the academic environment is to assess the students' knowledge and mastery of a specific topic, and it is crucial to ensure that the work is original and has been solely made by the students to assess their competence acquisition. Therefore, Text-Matching Software Products (TMSPs) are used by academic…

Spreadsheets help businesses run effectively and efficiently. However, many spreadsheets contain errors. Research provides taxonomies and guidance on preventing spreadsheet errors; this information often is not incorporated into training. Training students to use Excel functions and good spreadsheet practices is critical. This instructional…

Contribution: The study characterizes aspects of cognitive and metacognitive dimensions of team cognition of software development teams in educational settings. Background: The software development industry requires software engineers and developers to work in teams; for this, there is substantial research on teamwork in the context of the…

The COVID-19 pandemic, like past historical events such as the Vietnam War or 9/11, will shape a generation. Mathematics educators can seize this unprecedented opportunity to teach the principles of mathematical modeling in epidemiology. Compartmental epidemiological models, such as the SIR (susceptible-infected-recovered), are widely used by…

Healthy lifestyle technologies (HLT) have gained popularity in young people's daily lives, but the long-term effect of these technologies on their physical activity (PA) participation and health learning is unclear. This systematic review (a) explores the effect of HLT use on the PA participation and health learning of young people (aged 13-18),…

Managers are increasingly being tasked with overseeing data-driven projects that incorporate prescriptive and predictive models. Furthermore, basic knowledge of the data analytics pipeline is a fundamental requirement in many modern organizations. Given the central importance of analytics in today's business environment, there is a growing demand…

Ethnograms are used to visualize data gathered from students' and teachers' talk in the classrooms of a secondary school in the UK. A sample of "talk data" is portrayed in three example ethnograms. The ethnograms transform non-visual data into the visual domain for the purpose of analysis using visualization and abstraction. Using…

Patterns are a fundamental component of mathematics, and the patterning ability of young children has been well researched; however, this research has largely been conducted with relatively small cohorts (±70) and in an interventionist way (in laboratory settings or with researchers directly intervening in educational contexts). The current study…