This paper presents results of a study aimed at describing and discussing evidence/features of advanced algebraic thinking processes. To achieve these objectives, we analysed the written production of students enrolled in engineering courses working on mathematical modelling tasks related to differential equations. Our guiding question was as…

Here we investigate how college students may conceptualize symbolic algebraic properties. This work uses the theory of Grundvorstellungen (GVs) to analyze how learners' conceptions may or may not align with some desired goals of instruction. Through the analysis of interviews with students across a variety of courses, we describe several…

The development of the mathematical concept of the infinite, through the reflections that arise from personal notions and perceptions and the analysis of some ideas of Galileo and Cantor, invites us to investigate the relationship between intuition and formalization for the understanding of the said concept. This paper aims to observe and describe…

Reform in teacher education seeks to engage preservice teachers (PSTs) in authentic classroom situations that explore equitable practices by connecting theory to professional practice. One way for PSTs to examine how equity and inequity operate in schools is with the aid of equity-related case-based instruction. This study reports on mathematics…

This research aimed to investigate the relationship between mathematical epistemological beliefs and the mathematics motivation of high school students. The survey model was employed in the research. Four hundred twenty-four high school students constitute the study group from public high school. Data were collected through the…

This article aims to illustrate how the collective resolution of routine mathematical tasks can give rise to uncertainties, fostering and supporting a rich and authentic mathematical activity. While solving routine tasks may not typically be classified as problem-solving, the research presented in this paper shows that, at the collective level,…

The ability to solve geometric construction problems is justly regarded as an essential component of mathematical culture. The dynamic, general nature of objects provided by dynamic geometry systems allows the development of intuitive methods for solving construction problems. The core mathematical concept underlying this approach is the loci…

This brief focuses on the important role that math requirements contribute to inequity in access to college, in particular the value placed on calculus, even though it is not an essential course for students who are seeking non-STEM degrees. The boost earned by students who are fortunate enough to have access to calculus, a benefit unequally…

Given the ubiquity of curriculum materials and complexity of their usage, it is imperative that teacher education programs prepare prospective teachers (PSTs) to use curriculum materials. In this paper, we focus on what PSTs notice when they are interacting with curriculum materials, and how their initial impressions of curriculum materials…

This is the second of 2 reports that look at the results of TIMSS 2023 and Australia's performance. This report, Volume II, presents the results from the contextual questionnaires, and examines the home, school, and classroom contexts in which learning and achievement occur, as well as student attitudes. Each chapter focuses on different…

Given the prevalence of research in undergraduate mathematics education focused on student reasoning and the development of instructional innovations that leverage student reasoning, it is important to understand the ways undergraduate mathematics instructors make sense of these innovations. We characterize pedagogical reasoning about…

Research Findings: Children are increasingly using touchscreen technologies at home, which has become a recurring feature within their classroom too. Research has investigated the potential effect of using computer-based tests to assess pupils' performance rather than traditional paper tests. An agreement has still not been formed about the impact…

Struggling math students often have difficulty developing a sense of self-efficacy and intrinsic motivation to learn math, which has been found to predict future math achievement (Pitsia et al., 2017). Conventional methods of math instruction and assessment may provoke elevated levels of math anxiety for many students, which has been found to…

Foundation and Year 1/2 teachers at Saint Martin de Porres Primary School, a Catholic School in Laverton, Melbourne have been collaborating with a team of researchers from Monash University on a four-year project led by Professor Peter Sullivan and colleagues. The teachers have been trialling and implementing a series of lesson sequences as part…

In this study, we analyzed student participation and success in a college-level Calculus I course that utilized standards-based grading. By measuring the level to which students participate in this class structure, we were able to use a clustering algorithm that revealed multiple groupings of students that were distinct based on activity…