Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with concrete manipulatives, enactive/embodied forms, computer graphics, and more. This paper addresses the analytical limitations and ethical implications of methodologies that use broad…

In this article, we describe a case study that was conducted within a study aiming to diagnose grade 5 students' concept images of parallelograms. The theoretical framework that we adopted for this study was that of concept definition--concept image as reported by Tall and Vinner ("Educational Studies in Mathematics" 12:151-169, 1981), a…

Research in the area of equivalence and the equal sign dates back decades, demonstrating students often possess misconceptions concerning the meaning of equivalence and the equal sign. Students often understand the equal sign to mean the answer comes next (i.e., an operational definition) instead of the same as (i.e., a relational definition).…

Formulas are involved in most parts of the mathematical curriculum in upper secondary education and in everyday mathematics classrooms, but research shows that students have difficulties using formulas adequately. When students are presented with a task, the task activates a conceptual frame in the students, making them perceive formulas in a…

Mathematical modelling competencies have become a prominent construct in research on the teaching and learning of mathematical modelling and its applications in recent decades; however, current research is diverse, proposing different theoretical frameworks and a variety of research designs for the measurement and fostering of modelling…

This study aims to elucidate a common professional learning opportunity in Japan, "instructional circles," which has not yet been studied systematically or described in detail. This study uses the mathematical knowledge for teaching (MKT) framework and research on features of professional learning opportunities that facilitate intended…

Mathematical literacy is a keystone of contemporary mathematics education research. We collectively, thoroughly explore this set of literacy practices from the perspectives of mathematical writing and mathematical discussion. Mathematical literacy practices, of course, include a third component--reading--which takes a number of forms. This…

There have been repeated attempts to establish mathematics qualifications for lower attaining students aged 16 years and over on vocational pathways in England. In 2004, the Tomlinson Report proposed Functional Mathematics and this paper examines the trajectory of this qualification (later Functional Skills mathematics) through analysis of policy…

How can we engage all primary school students in rich mathematical learning, support them to make connections, and develop their mathematical language and reasoning? In this article, we draw on one school's experience in considering an approach to mathematics instruction that could support teachers in addressing this question, specifically…

The success or failure of education systems in promoting student problem-solving skills depends on attitudinal, political, and pedagogical variables. Among these variables, the design of mathematics textbooks is thought to partially explain why students from high-achieving countries show better problem-solving ability in international assessments.…

While classical studies have highlighted the many potential benefits of using original historical sources in the classroom, few studies have documented actual classroom practices outside of research contexts. In this case study, I aim to describe and explain how five French high school teachers autonomously designed and implemented classroom…

While there are several studies analysing how mathematics education is portrayed in news media discourses, there has been little examination of the construction of different stakeholders (e.g. teachers, parents, curricula). In this paper, we report our analysis of a corpus of Canadian newspaper reports on mathematics education, focusing on the…

Posing mathematical literacy problems is one of the challenging issues in literacy studies. The present study focused on how to develop the ability to pose mathematical literacy problems. Within the context of the training given to middle school mathematics teachers on how to pose mathematical literacy problems, literacy problems were introduced.…

Note-taking in tertiary education is a challenging activity which requires listening, processing and recording new information at the same time. However, in lectures at a high presentation rate, students often have to choose between these activities. One solution which is frequently proposed to mitigate this problem is the use of guided notes,…

Mathematical literacy and knowledge play a significant role in the formation of competencies. The purpose of the study is to determine the levels of mathematical literacy and their dependence on the type of thinking and the level of creative abilities in a distance learning environment. The research objectives are as follows: assess thinking (by…