How to pedagogically integrate the four STEM (science, technology, engineering, and mathematics) disciplines is a main discussion issue in STEM education. Inquiry-based learning, mathematical modeling, and tool-based pedagogy could go hand in hand to provide a possible integrated STEM pedagogical framework for mathematics and science. This…

College physics textbooks (algebra based) tend to shy away from topics that are usually thought to require calculus. I suspect that most students are just as happy to avoid these topics. Occasionally, I encounter students who are not so easily satisfied, and have found it useful to maintain a storehouse of non-calculus solutions for some common…

The development of multiple solutions for a given problem is important for learning mathematics. In the present intervention study, we analyzed whether prompting students to construct multiple solutions (more precisely: prompting them to apply multiple mathematical procedures to real-world problems) and prior self-efficacy influenced students'…

To reach their goals, companies are on a never-ending search to find new methods for innovation. In order to tackle the complex problems, which cannot be solved by a single person, the implementation of teamwork is assumed to be applicable. With this paper, we propose a framework for Collaboration Support Systems, which aims to enhance team…

The idea of using fingers as a key component in arithmetic development has received a great deal of support, much of which is based on neuroscientific evidence. However, this body of work pays limited attention to how fingers are used and possible different outcomes in arithmetic problem solving. The aim of our paper, based on an analysis of 126…

Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…

Recently, Robin claimed to introduce clever innovations ('wrinkles') into the mathematics education literature concerning the solutions, and methods of solution, to differential equations. In particular, Robin formulated an iterative scheme in the form of a single integral representation. These ideas were applied to a range of examples involving…

One of the main goals of gamification in educational settings is to increase student motivation and engagement. To facilitate the design of gamified educational systems, in recent years, studies have proposed various approaches (e.g., methodologies, frameworks and models). One of the main problems, however, is that most of these approaches are…

In this study, we aim to investigate the role of language in small group peer collaboration. Based on the notion of symmetrical scaffolding, we draw on theories of dialogic space and functional linguistics to analyse a transcript of three six-year-old students as they explore a shared understanding of 'two more than'. Using Martin and White's…

This practice guide is one of a set of resources for increasing equity in school discipline. The guides are based on the Center on PBIS's 5-Point Equity Approach, which has been shown to be effective in increasing equity in schools (link to…

Purpose: The importance of the affective domain in holistic human development, in particular empathy, is an increasing concern today especially after the Covid-19 pandemic. The purpose of this study was threefold: (1) to investigate the attitudes of school students toward competencies associated with human consciousness; (2) to validate the…

Previous statistical studies found that polymathic networks of vocational and avocational interest predominate among Nobel Prize winners, discriminating them from less-successful peers. Here we confirm qualitatively and phenomenologically that this multidisciplinarity is a considered creative strategy. Peers often recognize Nobel laureates as…

Preschool aged children's social and emotional adjustment impacts their behavior across settings. Providing high-quality early intervention services that enhance social and emotional skills can help prepare children for formal schooling and improve social and behavioral outcomes. The summer prior to Kindergarten presents a unique opportunity for…

Augmented Reality (AR) based learning provides real experiences for educators and new strategies for presenting physics concepts but also provides opportunities for students to interact interactively, spontaneously, and interestingly. Previous research has shown that AR has many advantages in education, but only a few focus on Independent…

Much of the formal professional development teachers experience consists of short-term workshops that maintain -- rather than disrupt -- the systems of power that reproduce educational inequities. In response, some scholars have advocated critical professional development (PD) as a means of supporting teachers' interrogation of these inequities…