Background: Embracing the influential role of music in education, teachers can cultivate an environment that fosters learners' curiosity, creativity, and enthusiasm for acquiring knowledge. The first author, experienced in teaching Intermediate Phase music and mathematics, was keen to explore how to bridge the gap between the educational vision…

This dissertation examines the development of combinatorial reasoning in high school students through an in-depth analysis of a problem-solving session involving the Pizza Problem. The study, part of the long-term Rutgers-Kenilworth longitudinal research project, focuses on four 11th-grade students as they explore and connect concepts related to…

Proficiency in mathematics is fundamental for academic success and is linked to numerous skills that are essential for success in the real-world. Despite its importance, many students struggle with math, leading to nationwide declines in math proficiency. This decline highlights the need for effective interventions that are accessible, able to be…

This study draws upon critical bifocality (Chen & Horn, 2022) and intersectional frameworks (Collins, 2019; Crenshaw, 1989) to detail critical consciousness development over time in justice-oriented elementary mathematics educators. Specifically, a Critical Participatory Inquiry (CPI) approach facilitated collective theorizing amongst myself…

U. S. educational policies focused on the use of high-stakes standardized achievement tests and top-down accountability to improve student achievement have had an insignificant impact. Furthermore, the focus on once-a-year standardized tests to measure student success negatively impacts daily classroom instruction and assessment practices.…

The aim of this study is to determine the effects of the values-based mathematics teaching activities on mathematics achievement and mathematics attitudes of 8th grade students in Türkiye. For the study, a control group pretest-posttest quasi-experimental design was used. A total of 59 students (experimental group 29; control group 30) from a…

The bring-your-own-device policy (BYOD) in schools has recently attracted considerable research interest. BYOD allows students to learn subjects like mathematics using personal mobile devices. Accordingly, BYOD can increase students' desire to learn mathematics in school. In the study we report on here, we assessed 9th grade students' (n = 500)…

A disproportionate number of preservice elementary teachers exhibit high levels of math anxiety (Reid et al., 2018). Not only does this inhibit their ability to understand mathematical concepts, but it also negatively impacts their pedagogical approach to math (Beilock & Maloney, 2015; Reid et al., 2018). Teachers who experience math anxiety…

The present study falls into the efforts to improve practices for addressing errors produced by learners in various situations involving the calculation of integrals. We attempt to clarify as precisely as possible the types of errors that secondary school students produce when using integrals in algebraic and graphical frames. Based on the…

This study aimed to interpret and describe students' mathematical thinking processes of non-routine mathematical problems that were solved based on didactic situation theory. This study uses a qualitative method, a phenomenological hermeneutics study for grade 8 students at a junior high school in Banda Aceh in the 2021-2022 academic year.…

Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…

Undergraduate students are expected to produce and comprehend constructive existence proofs; yet, these proofs are notoriously difficult for students. This study investigates students' thinking about these proofs by asking students to validate two arguments for the existence of a mathematical object. The first argument featured a common structural…

Inquiry-Based learning (IBL) is a fairly well-known term in the United States (US) describing a range of student-centered or active pedagogical approaches in mathematics. However, the 'big tent' definitions of IBL mean that there is much variation in IBL users' instructional practices, variation which we set out to codify. Cluster analysis of…

This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…

Generalization is one of the core aspects of algebraic thinking, and research literature points to the importance of objectification when generalizing mathematical discourses. To increase the field's understanding of the objectification process in various algebra discourses, our study analyses Grade 6 teachers' use of words, symbols, routines and…