Teachers, support staff, schools, and school districts have faced a multitude of challenges in adapting their known and familiar practices to the new realities and restrictions that have been put in place due to the outbreak of COVID-19. These challenges are daunting and difficult for many in our education system. Fortunately, a numerous amount of…

Given the political, societal, scientific and geographical changes emerging in our twenty-first century world, we need to apply refreshed innovative processes in universal education. By applying such processes for universally refreshed quality of life norms, this paper applies the results of my Philosophy of Education thesis to today's conditions,…

Students in the elementary grades often experience difficulty setting up and solving word problems. Using an equation to represent the structure of the problem serves as an effective tool for solving word problems, but students may require specific pre-algebraic reasoning instruction about the equal sign as a relational symbol to set up and solve…

Mathematical knowledge involving whole number multiplication and division is integral to understanding multiplicative structures such as ratios, slope, rate of change, and proportions, which are important in subsequent mathematical learning. In this study, we investigated the effectiveness of a research-based intervention, schema-based instruction…

This paper explores the thinking and practice of 'action inquiry' an embedded learning practice that can help navigate complexity when practising change together. The paper uses examples from social contexts where there are concerns about community wellbeing and health care. These are drawn from collaborative or collective leadership development…

An increasing number of high-stakes mathematics standardised tests around the world place an emphasis on using mathematical word problems to assess students' mathematical understanding. Not only do these assessments require children to think mathematically, but making sense of these tests' mathematical word problems also brings children's language…

Introduction: Victims of peer victimization are likely to develop psychological adjustment difficulties. The primary goal of the present study was to examine the moderating effects of conflict resolution strategies (solution-orientation, control, nonconfrontation) on the relations between peer victimization and psychological problems (depressive…

Today, individuals need a solid understanding of how earth as a system works in order to understand and develop solutions for science-based issues affecting societies on a global scale such as natural disasters, global warming or COVID-19 pandemic. Humans also deliberate space investigations, such as interplanetary travels and life in space.…

Managing disruptive learner behaviour has for many years been a matter of concern to school administrators, teachers and parents. In Zimbabwe, teaching and learning processes have been affected by serious interference that has adversely affected the learners and the teachers. The research question addressed in this study relates to the strategies…

In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…

The study determined the problem-solving performance and skills of prospective elementary teachers (PETs) in the Northern Philippines. Specifically, it defined the PETs' level of problem-solving performance in number sense, measurement, geometry, algebra, and probability; significant predictors of their problem-solving performance in terms of sex,…

This article explores a conceptual relationship between learner choice and mathematical sense-making. It argues that when learners can exercise choice in their mathematical activities, mathematical sense-making can be enhanced. The literature around mathematical modelling suggests a link between sense-making and learner choice. A three-tiered…

Open-ended design problems have become an important component in our educational landscape (Grubbs and Strimel in J STEM Teach Educ 50(1):77-90, 2015; Jonassen et al. in J Eng Educ 95:139-151, 2006; National Research Council in Education for life and work: developing transferable knowledge and skills in the 21st Century, National Academies Press,…

This article describes two heuristic strategies for problem solving: the "use of false assumption" strategy and the "use of double false assumption" strategy. Both of these strategies have their roots deep in history. In this article, we define these two strategies and illustrate their use in a problem developed by Frances…

A simple forward approach for solving linear Diophantine equations is presented, which does not involve using backward substitutions. It is suitable for teaching undergraduate students as an alternative to the backward substitution method commonly described in mathematics textbooks.