This paper describes the authors' journey in designing a linear representation that aligns mathematics and music to support fractional reasoning. The three authors, guided by the theoretical framing of realistic mathematics education, engaged in a task design process over a 12-month period to develop integrated resources. Data were collected in…

Context: The island of Malta is a former British colony, and to this day, education continues to be accessed bilingually. For mathematics education, Maltese and English are used for verbal interaction, with subject-specific words tending to be retained in English. Written mathematics texts are in English, including textbooks, worksheets, digital…

The current study, a causal comparative quantitative study, examined the relationship between content-based accelerated instruction and the growth of students identified as gifted and talented who enrolled in the participating district's accelerated advanced math class, and how acceleration affected students' growth based on socioeconomic status.…

This paper introduces the LIDO, or the Low-Inference Discourse Observation tool, that captures discourse moves produced by students and teachers in whole-classroom discussions. Coding methods are described, followed by analyses that explore validity of the LIDO through correlations among LIDO-coded discourse moves and between LIDO scores and…

This study evaluated the effectiveness of faithful use of Imagine Math, a computer adaptive math intervention for elementary students in grades three through five. To achieve this objective, the researcher compared the math achievement growth as measured by the NWEA MAP math assessments from fall 2021 to spring 2022 between the treatment group and…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

In this article, we discuss embodied mathematical practices in the context of learners' board game (re)design activities. By focusing on "redesigning" a board game as a pedagogical approach, rather than designing one from scratch, we intended to limit the vast creative design possibilities and engage learners more deeply with the…

This study provides the first large-scale quantitative exploration of mathematical language use in U.S. classrooms. Our approach employs natural language processing techniques to describe variation in the use of mathematical language in 1,657 fourth and fifth grade lessons by teachers and students in 317 classrooms in four districts over three…

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use…

This study focused on an examination of how type, quality and children's awareness of design features in digital math games, along with an awareness of the mathematics goals of the game, were related to learning outcomes. We conducted a parallel conversion mixed methods study with 45 students in Grades 3 and 4 (ages 9-10). Students participated in…

Because word problems present mathematical information through a scenario, they are language-intensive and require mathematical and reading comprehension skills to solve them. In addition, they are linguistically complex, which makes them challenging for all learners, especially multilingual learners. Given the rising number of dual-language…

Previous research provides evidence that developing a growth mindset--believing that one's capabilities can improve--promotes academic achievement. Although this phenomenon has undergone prior study in a representative sample of ninth graders in the United States, it has not been studied in representative samples of other grade levels or with…

Mathematical knowledge for teaching (MKT) is a professional knowledge crucial for effective mathematics instruction, encompassing both content knowledge (CK) and pedagogical content knowledge (PCK). The purpose of this study is to investigate the hierarchical structure of PCK for fractions by seeking further evidence for the PCK-Fractions…

We present the results from an exploratory study that aimed to measure teachers' specialized knowledge in early mathematics during a pilot of an educational intervention using the Foundational Mathematical Knowledge for Teaching (FMKT) survey. The survey was administered to 323 teachers in the Kyrgyz Republic in 2021. We delve into survey results…

There is no consensus about whether a teacher-centred or student-centred instructional approach is more effective for students' maths achievement. Prior studies have highlighted the role of students' maths self-concept as a predictor and mediator for maths achievement. This study examined whether instructional approaches were related to students'…