This study explores the self-efficacy and problem-solving skills of middle school mathematics students. The students -- 111 9th graders who were studying a unit for the analysis of function -- were given mathematics instruction that was based on either dynamic or static visualization. Findings revealed a positive impact of instruction that was…

In this case study, we investigate one teacher's implementation of DNR-based combinatorics curriculum in their high school discrete mathematics class. By examining the teacher's practices in whole-class discussions of two counting problems, we study how they advanced a variety of ways of thinking to support the development of a set-oriented way of…

This introduction presents Active Learning Methodology, surveying its history, main existing tools and supporting evidence, with an emphasis on mathematics and higher education, in particular engineering studies. This work is part of the DrIVE-Math project, developing innovative mathematical teaching strategies in engineering studies.

The author presents a child-centered approach to teaching, developed through longtime connections with colleagues, which concentrates on the children and provides them time to make their own connections, to learn, to think, and to develop at their own pace with the support of their classmates. Two examples of how mathematics interlaced into…

This quasi-experimental design study aimed to examine how exposure to supporting productive struggle teaching practice impacts students' conceptual understanding, procedural fluency, and strategic competence when solving high-demanding quadratic functions problem solving tasks. Results suggested that students in the supporting productive struggle…

Paradoxes are particularly problematic in literacy as they often complicate learning. However, identifying and examining them can also tell us something about the inherent problems within social, political, and educational systems. This paper reports on an analysis of a total of 205 AJLL articles and editorials, published between 2011 and 2021.…

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,…

Education research has established that teachers' beliefs matter because they can affect classroom practices and student outcomes, and beliefs are viewed as an important construct within statistics education. However, relatively little research about the beliefs of in-service statistics teachers has been conducted. Additionally, little research…

Development of self-assurance, improvement of interpersonal communication, development of the sense of security, an opportunity to share one's experiences and ideas, as well as cooperation and interaction, which supplant rivalry and competition are just a few benefits resulting from working with the problem methods for the pupils. We have…

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,…

High crime rates and general issues of social dysfunction are common in developing countries. This paper, using a case study of Jamaica, shows the possibility of using moral and religious values to guide youth within the education system, with the ultimate goal of intercepting these societal issues. The recent spate of violence in Jamaica's…

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…

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.…

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.