A task-based written survey was administered to 69 pre-service teachers (PSTs) at a large Midwestern University in the USA to examine their recognition of examples/non-examples of [one-fourth] presented in various forms of the area model, their perceived mathematical key points in identifying examples/non-examples, and their instructional…

Mathematical modelling has acquired relevance at all educational levels in the last decades since integrating this activity in instruction provides significant contexts for improving students' learning, including in linear algebra courses that have a notable presence in many undergraduate courses from different fields, including engineering and…

This study addresses teachers' activity when working with digital technologies (DT) in their classrooms. We build upon a model that considers teaching as managing "open dynamic situations." Within the model, teachers' activity is viewed as diagnosing students' mathematical activity, managing uncertainties due to the characteristics of…

Over the past 30 years, higher education institutions (HEIs) worldwide have been grappling with the difficulties experienced by many students entering higher education due to their poor pre-entry core mathematical skills. In the Republic of Ireland and the UK, the provision of mathematics learning support (MLS) is the approach most commonly…

Levering change is hard, and an incremental process. In the education process it requires an interaction between teachers, resources and learners. Levering change with human resources--teachers themselves, is a long term, time-intensive process requiring investment and commitment. The teacher-resources relationship is complex and not always…

An appeal to the personalistic component of the history of mathematics, stories about scientists who have contributed to its development, contribute to the implementation of the educational aspect in the teaching of mathematics. A question arises: how can a mathematics teacher shape the moral qualities of a child, including patriotic and…

When thinking about digital equity, often what comes to mind are issues of access to digital technologies. Although that is a divide that must be conquered, once students have access to digital technologies, the next step is to ensure that they wield these technologies in such ways that they help to address the existing inequities in mathematics…

When professional learning is interdependent, a teacher's individual success hinges on the efforts of the entire team. Leadership experts Jenni Donohoo and Ann Mausbach explain why that's a good thing.

For a long time, Soviet students learned 'pure' mathematics in their mathematics classrooms, while applications of mathematics were introduced in their science (mainly physics) classrooms. This approach was a part of a uniform and rigid national curriculum. Even when in the 1990s the world was moving towards including applications in school…

The presented paper is devoted to the new teaching model of congruences of computer science students within the subject of discrete mathematics at universities. The main goal was to create a new model of teaching congruences on the basis of their connection with Diophantine equations and subsequently to verify the effectiveness and efficiency of…

Proof generally has a bad reputation among students, especially at the high school level. In fact, when the first author initially mentioned to her students that she would like to interview them about proof, many reacted with fear. Further, classroom experiences and existing research (Stylianou, Blanton, and Rotou 2015) suggest that undergraduate…

Research on educational borrowing has been largely concerned with debates on the complexity of transferring educational models and approaches from one culture to another. This study aims to understand the issues involved in the adoption of a Dutch approach to mathematics instruction, Realistic Mathematics Education (RME), in Indonesian culture.…

In this paper, we make a case for the importance of teaching secondary school level algebra to students with learning disabilities (LD). Furthermore, we illustrate how they struggle and present best-practices on how they are best supported. We demonstrate effective ways of how teachers can show students with LD how to solve challenging algebra…

This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…

Using Cultural-Historical Activity Theory, we analyze lecturers' views on the aims and teaching practices of mathematical modelling (MM) education in Norway and England. We aim to expose the tensions that exist within the activity of teaching MM at university, such as those between multiple, sometimes competing, aims for teaching MM, or between…