This study explores the cognitive structures of pre-service primary teachers regarding fraction comparison, using Vinner's concept-image framework to analyze how these pre-service teachers mobilize their knowledge to compare fractions. The mixed-methods approach, combining both quantitative and qualitative analyses (including a questionnaire),…

The aim of this study is to investigate the production and dissemination of mathematical modeling-based projects by gifted students, intended to solve real-life problems, over the four-year Project Production and Management Program (PPMP). The longitudinal research methodology was utilized to examine the project production process among…

The home numeracy environment is suggested to influence children's numerical development, but causal evidence for this assertion remains limited. Addressing this gap, we randomly assigned 117 predominantly White 4-5-year-olds (M = 4.68 years, SD = 0.2, 47% girls) attending preschool in Flanders (Belgium) to either an experimental (numeracy) or an…

In recent years, the pre-training of Large Language Models (LLMs) in the educational domain has garnered significant attention. However, a discernible gap exists in the application of these models to mathematics education. This study aims to bridge this gap by pre-training LLMs on authentic K-12 mathematical dialogue datasets. Our research is…

Society produces storylines about Latiné communities, including their placement in racial and linguistic hierarchies, that permeate the mathematics classroom and research in mathematics education. We conducted a discourse analysis of the enunciations used in top-tier mathematics education journals about these communities. The majority of articles…

This paper aims to provide readers with an overview of recent advances in research on mathematics textbooks in relation to curriculum development and instructional reform. It consists of two main parts, with the first part presenting a targeted micro-scoping review of 13 related research articles published over the last decade (2015-2024), and the…

This paper examines the governance and quality control of digital curriculum resources (DCR) for K-12 mathematics education in Germany. It focuses on approval processes and criteria set by the 16 federal states, arguing that these have the potential to influence the development of DCR. Using qualitative content analysis, the study explores three…

Teachers' knowledge about mathematical content affects students' mathematics learning outcomes. This study aimed to identify the knowledge of pre-service primary school teachers about mathematical contents. Within a quantitative methodological approach, 150 respondents (58 Papuans and 92 non-Papuans) were involved in this study. An evaluation was…

This article shares the experience of implementing a lesson involving division by zero to a group of third graders. The authors intend to provide a brief overview contrasting the two types of division, sharing, and measurement, and explain why one type is better for classroom discussions that involve division by zero. This provides teachers with a…

Given that early career elementary teachers face pressure to plan pedagogy that provides equitable opportunities to learn mathematics for understanding, it is important to consider their mathematics lesson planning practices. This study uses interview data to compare the planning practices of four early career teachers (ECTs) who consistently…

Mathematics provides us with tools to capture and explain phenomena in everyday biology, even at the nanoscale. The most regularly applied technique to biology is differential equations. In this article, we seek to present how differential equation models of biological phenomena, particularly the flow through ion channels, can be used to motivate…

Primary education students with autism spectrum disorder may present difficulties when solving arithmetical problems. Therefore, this exploratory and descriptive single case study aims to verify the suitability of a methodology based on modified conceptual models so that a student with autism spectrum disorder understands and correctly solves…

Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…

In this paper, we discuss how a professor could have students, using rational and exponential functions, develop models for several different density-dependent populations based on characteristics of the species. Students would then need to choose an appropriate method from among three different analytic methods (find a solution, phase-line…

Combinatorial proofs of binomial identities involve establishing an identity by arguing that each side enumerates a certain set of outcomes. In this paper, we share results from interviews with experienced provers (mathematicians and upper-division undergraduate mathematics students) and examine one particular aspect of combinatorial proof, namely…