Background/context: Student heterogeneity is a persistent and fundamental challenge in all school systems. In many countries, including Norway, politicians and actors within the educational sector have increased the use of additional teachers, teacher assistants, and special education teachers to respond to this challenge (Bonesrønning, Iversen…

Diverse stakeholders have an interest in understanding how teacher characteristics--their preparation and experience, knowledge, and mind-sets and habits--relate to students' outcomes in mathematics. Past research has extensively explored this issue but often examined each characteristic in isolation. Drawing on data from roughly 300 fourth- and…

The 2-year Philippine Senior High School (SHS) commenced only in 2016. This phenomenographic study aimed to describe, explain and explore the teaching of SHS Mathematics to include problems encountered and interventions done by the teachers. Two schools in Quezon City were purposively chosen to be the study site with a maximal variation sampling…

Interest in creativity in mathematics education research is increasing, and the field of research is growing. Yet, research on creativity and the "notions" (we use this wording to accumulate understandings, beliefs, and ideas about the construct) of creativity that are addressed in empirical research are diverse and difficult to organize…

Relational language is thought to influence mathematical skills. This study examines the association between "relational language" and "number relation skills"--knowledge of cardinal, ordinal, and spatial principles--among 104 U.S. kindergartners (5.9 years; 44% boys; 37% White, 25% Black, 14% Asian, 24% other) in the 2017-2018…

The study aims to explore how the mathematics teachers taking post-graduate education use their Algebra knowledge for the expression, "You can't add apples and pears" that is expressed in almost every segment of the society, in creating mathematical content. The data of the research consisted of the written answers of the thirty-seven…

Early mathematics plays an important role in introducing foundational concepts for number sense in children. One of the critical areas of learning is the establishment of a linear view of numbers. It is essential to create opportunities for young children to understand that numbers are equally spaced on the number line and that they increase in…

Oblique angle collisions of two penny coins on a smooth, horizontal surface were filmed with a video camera to investigate the physics of the collision process. If one of the coins is initially at rest, then the two coins emerge approximately at right angles, as commonly observed in billiard ball collisions and in puck collisions on an air table.…

The important role of student agency in collaborative problem-solving has been acknowledged in previous mathematics education research. However, what remains unknown are the processes of agency in open-ended tasks that draw on real-life contexts and demand argumentation beyond "mathematical". In this study, we analyse a video recording…

The nineteenth century has been characterised as a period in which mathematics proper acquired a disciplinary and institutional autonomy. This article explores the intertwining of three intersecting worlds of the history of mathematics inasmuch as it engages with historicising the pursuit of novel mathematics, the history of disciplines and, more…

The aim of this research is to investigate how well high-achieving students entering tertiary-level education in Ireland understand school algebra. As part of a larger project, a 31-item test was developed to assess first-year undergraduate students' understanding of basic algebraic concepts. The test was administered online to students studying…

In this article, we show how students' productive struggle on a mathematical task can lead to collective mathematical creativity. We use observable (co)actions and interactions from a video record that features three Grade 6 students in a problem-solving session to document the emergence of collective creativity leading to a mathematical solution.…

Problems involving chains, cables, or ropes that are dropped, folded, or pass around pulleys attract ongoing interest, in part because they can become variable-mass situations if the chain is partitioned into sections for analysis. Less attention has been paid to trying to intentionally project the end of a string as far as possible. Here we…

The approximate number system (ANS) is foundational to numerical cognition. Whereas some studies hint at intact ANS skills in individuals with Down syndrome (DS), others report impaired ANS abilities. To reconcile these discrepant findings, we investigated ANS skills of children with DS and typically developing (TD) children in a non-symbolic…

This study aims to examine the 5th- and 6th-grade mathematics textbooks approved by the Turkish Ministry of National Education for the 2021-2022 academic year in terms of the opportunities to learn provided in the sublearning domain of "Area Measurement." A document analysis was performed as a part of this study. Consistent with the aim…