The rapid advancement of artificial intelligence (AI) and its accessibility to almost everyone necessitate a clear definition of its role in education. The primary step in effectively integrating AI into mathematics education (ME) is formulating instructional strategies that consider its advantages and disadvantages. This study aims to develop…

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…

Research on generalization in elementary school is a key topic in mathematics education. This study analyzes the generalization processes among fourth-grade students (9-10 years old) while working with functional relationships, focusing on the interplay between generalizations, justifications, and mediations during a lesson. Specifically, we…

Algebra is a core aspect of mathematics, often functioning as a gatekeeper to further studies in mathematics. Although a well-researched area, we still do not know how students' algebraic reasoning can vary, including the understanding of the roles of various mathematical arguments. In an explorative study, using semi-structured, non-participant…

This study compared two versions of ChatGPT, Model 3.5 and reasoning o1, on their capacity to provide pedagogically sound and personalized trigonometry tutoring. Using comparative content analysis, the ability of both models to deliver clear, accurate, and contextually relevant explanations and examples on basic trigonometric concepts was…

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…

This paper uses data from the Organization for Economic Co-operation and Development (OECD) and employs multiple regression models to investigate the relationship between teacher salary and educational achievement in mathematics and science across 30 countries. After controlling for alternative wage opportunities and two macroeconomic factors (GDP…

Industrial-scale models require considerable setup time; hence, once built, they are used in myriad ways to consider closely related cases. In practice, the code for these models frequently evolves without appropriate notational choices, largely as a result of the lengthy development time of, and the number of individuals contributing to, their…

This paper addresses the desideratum identified by Törner (2018), that researchers' beliefs are rarely addressed in the research literature dealing with beliefs. For this purpose, firstly a suitable theoretical framework is outlined that links the concept of belief with the research perspectives of researchers. Secondly, examples are given of how…