Many engineering subjects rely on the interpretation of symbolic, numeric and graphic representations. Engineering students have challenges pertaining to their mathematical understanding of their actions with a computer algebra system (CAS). We investigated how a mathematical modelling task could mediate varied levels of mathematical…

Systems thinking, interdisciplinary research projects, and creative problem solving are ways to frame modern chemistry curricula to inspire the next generation of scientists, engineers, teachers, and citizens to use their skills and education to create a sustainable future. By integrating planetary boundaries, green chemistry, and the UN…

The purpose of this research was to describe the positions and causes of students' errors in algebraic thinking based on the cognitive style. This study was qualitative research with subject consisting of twelve students. The results showed that (1) students with Field Independent type tended to make errors at the stage of comprehension,…

Technological advancements initially made it possible for individuals with different cultures from different parts of the world to consider working together, and eventually collaboration turned into a necessity. Based on this necessity, OECD measured collaborative problem-solving (CPS) competencies of 15-year-old students from the countries…

The African Data Initiative started as a crowd-sourced campaign to improve the teaching of statistics in African universities. The analysis of climate data provides one suitable context to illustrate ideas that lead to a radical new form of teaching. The problem within the context comes first, the technicalities are largely reduced -- mathematics…

Synergistic learning combining computational thinking (CT) and STEM has proven to be an effective method for advancing learning and understanding in a number of STEM domains and simultaneously helping students develop important CT concepts and practices. We adopt a design-based approach to develop, evaluate, and refine our Collaborative,…

Knowing an equation has a unique solution is important from both a modelling and theoretical point of view. For over 70 years, the approach to learning and teaching "well posedness" of initial value problems (IVPs) for second- and higher-order ordinary differential equations has involved transforming the problem and its analysis to a…

This article explores the process of finding the Fermat point for a triangle ABC in three dimensions. Three examples are presented in detail using geometrical methods. A delightfully simple general method is then presented that requires only the comparison of coordinates of the vertices A, B and C.

This article focuses on designing and conducting action research in diverse settings. Action research is a collaborative approach to problem solving. It involves consultative problem identification, reflects context, encourages reflexive examination, and ultimately encourages and empowers beneficiaries for desirable change. In that regard, it puts…

The importance of professional skills teaching and assessment within veterinary education has recently been highlighted in the veterinary education literature. This academic discourse follows the acknowledgement by both veterinary employers and graduates themselves that new graduates often lack the professional skills and attitudes needed for…

How can a cognitively demanding real-world task such as the Seven Billion People problem promote productive struggle "and" help shape students' mathematical dispositions? Driving home from school one evening, Jaclyn Murawska heard a commentator on the radio announce three statements: (1) experts had determined that the world population…

Computational Thinking (CT) is pervasive in our daily lives and is useful for problem-solving. Decision-making is a crucial part of problem-solving. In the extant literature, problem-solving strategies in educational settings are often conveniently attributed to intuition; however, it is well documented that computer programmers might even have…

The ability of novice instructional designers to become skilled problem-solvers, who select and apply appropriate instructional design (ID) models in their work environments, are key competencies generally sought after in introductory ID courses. Yet, the proliferation of ID models, coupled with varied philosophies and practices about how ID is…

The Math Teachers' Circle (MTC) model is a widely implemented form of professional development that invites teachers to become practitioners of mathematics, thereby developing their fluency with mathematical practices. This article presents comparative case studies investigating the self-reported experiences of several MTC-participating teachers…

The Research Skill Development (RSD) framework was devised in 2006 to articulate what educators do when they facilitate student learning through active exploration in ways that enable their skills to grow in sophistication and rigour. This special issue of JUTLP comprises eight articles that focus on the critique, adaptation and application of the…