This study intends to review the operational estimation skills of pre-service primary school teachers, and to see if they are able to use the correct strategy when making estimates. For this purpose, the "estimation skills test" comprised of 41 questions allowing estimates using 14 distinct estimation strategies was used. 209 pre-service…

Exact arithmetic abilities require symbolic numerals, which constitute a precise representation of quantities, such as the Arabic digits. Numerical thinking, however, also engages an intuitive non-linguistic number sense, the Approximate Number System (ANS). The ANS allows us to discriminate quantities, approximate arithmetic transformations, and…

"They are the same" is a phrase that teachers often hear from their students in arithmetic and algebra. But what do students mean when they say this? The present paper researches the notion of sameness within algebraic thinking in the context of generating equivalent numerical equalities. A group of Grade 6 Mexican students (10- to…

This article shows results on the simulation of partial differential equations such as the heat equation, the Laplace equation and the wave equation in a course called mathematical methods at a university in Bogotá Colombia. In this course, the concept of partial differential equations and different solution methods were explained to them, both in…

Teacher educators have a moral and civic obligation to examine ways in which language and mathematics are connected and supported in teaching and learning mathematics. It is essential to examine the roles and influence of family, parents, community, teachers, administration, and teacher educators as they collaborate to support learners. Their role…

Despite the importance and many applications that parametric equations and curves have in mathematics and other sciences, there is a lack of research regarding this topic in mathematics education. The goal of this article is to explore university students' understanding of parametric equations and curves based on two lenses: Action, Process,…

Mathematics tutoring centres exist in varying forms at universities across the United States of America. Despite having similar goals, these centres vary a great deal in their practices, resources, and organizational structures. In this study, the researchers conducted a survey of mathematics tutoring centres in the United States in an effort to…

The study of secondary mathematics involves many ideas, but too often high school mathematics curriculum materials and instruction begin by giving students the vocabulary first, along with definitions, before students have been able to explore the ideas. Particularly for students bureaucratically designated as English Learners, preteaching…

As student achievement remains a critical discussion among federal policymakers, states, and local school districts, one response involves providing additional classroom support staff. To address deficits in mathematics education, the National Mathematics Advisory Panel (2008) urged the use of mathematics specialists (MS) to support teachers and…

In the target article, Xing and colleagues (2021) claimed that 6- to 8-year-olds who spontaneously referenced the midpoint of 0-100 number lines made more accurate magnitude estimates and scored higher on a standardized math achievement test than other children. Unlike previous studies, however, the authors found no relation between accuracy on…

The purpose of this study was to examine teachers' perceptions of the Illustrative Mathematics (IM) using data from teacher interviews from year 1 and year 3 of their implementation of IM. In year 1, 22 Algebra 1 teachers were interviewed; in year 3, 13 teachers participated. Interviews were conducted using a semi-structured protocol that included…

In Spring 2020, the need for redesigning online assessments to preserve integrity became a priority to many educators. Many of us found methods to proctor examinations using Zoom and proctoring software. Such examinations pose their own issues. To reduce the technical difficulties and cost, many Zoom proctored examination sessions were shortened;…

This report presents findings from an evaluation of the Air Tutors math program during the 2023-24 school year in two school districts: District A in Colorado and District B in Texas. It examines student participation rates and the program's impact on math achievement as measured by both state standardized summative assessments and district-level…

This study posits mathematics as a fundamental methodological framework for navigating the complexities of multidisciplinary research. It argues that the increasing prevalence of real-world problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis,…

England's schooling landscape is being remodelled and the move from hierarchical to heterarchical modes of governance has implications for systemic change strategies. Balancing local and networked autonomy with centralising policies complexifies choices for schools, creating tensions that this article explores through the context of curriculum…