English Learners benefit from rich opportunities to explore and engage with peers. We describe pattern-seeking and argument-constructing activities that support partners as they co-construct representations of networks, such as social networks connecting people. Such activities allow all students to explore relationships between vertices, edges,…

This study was conducted with the aim of tracking the mathematics attitudes of primary school students from the year they started school until they graduated from primary school and transitioned to middle school, covering a four-year period. The research involved a longitudinal method and was carried out with the participation of primary school…

This 2-year qualitative case study focuses on one emergent mathematics teacher leader, Mr. Miller, and his conceptualization of Social Justice Mathematics (SJM). SJM is a justice-oriented pedagogical approach where students simultaneously learn dominant mathematics and explore social injustices to take action toward justice. Using Rodriguez's…

This study, involving 120 children (M[subscript age] = 4.25; SD = 0.83; 53% Female, 49% White, 23% multiracial, 16% Black, 9% Asian American, and 3% Latine) and their parents, examined parent talk constructs and their relation to children's early academic skills in 2021. Parents' talk was best represented as a three-factor structure (general,…

Students and teachers with lesbian, gay, bisexual, transgender, queer/questioning, and other marginalized sexual orientations and gender identities (LGBTQ+) experience harsh discrimination in schools and society. This discrimination has fueled attacks on their humanity and threatened their safety in mathematics classrooms. Consequently, advocacy…

The objectives of this research were: 1) to study the components and indicators of learning management competency for mathematics teachers to enhancing analytical thinking; and 2) to examine the consistency and fit of a proposed model describing the components and indicators for enhancing the learning management competency of mathematics teachers…

As our world becomes more complex, the skills learned in humanities classes supply our students with the flexibility needed to be successful in a rapidly changing world. Building off this idea, I wanted to take the conversation into a specific area, mathematics. Using a specific case study, I will show the importance of having a strong mathematics…

A Spatial Reasoning Mathematics Program (SRMP) was implemented over 20 weeks with 28 mathematically-able 4th-graders as the second phase of a classroom design study. The SRMP embedded transformation skills in 28 interrelated mathematical tasks comprising 2-D/3-D relationships, geometric growing patterns and sequences, directionality, area and…

This article considers the rise of generative Artificial Intelligence (GenAI) in the context of secondary mathematics education, focusing on its responses to cognitively demanding tasks and the pedagogical implications of these interactions. Using tools such as ChatGPT (OpenAI) and Gemini (Google), we investigate how GenAI engages in complex…

This report details a set of three tasks used in an exploratory study of pre-service teachers' (PSTs) experiences of task design for the mathematics classroom. The three tasks, which I call the "Orange Dot Tasks," were constructed in Desmos, a dynamic geometry environment (DGE), and participants engaged each task through manipulating…

Background/purpose: The teaching of integral calculus has become increasingly important in higher education due to its role in the development of advanced mathematical thinking. In this context, the definite integral is recognised as a complex mathematical object with multiple interpretations. The present article aims to systematically review the…

In this theoretical article, we propose a conceptualisation of noticing, drawing on our enactivist perspective, which takes account of what is now known about human cognition, and from which we draw out implications for how noticing develops. We review past work on mathematics teacher noticing and note the dominance of a paradigm of taking…

There is a plethora of textbooks to choose from. While most textbooks contain the same content, teachers need to understand the textbook they have chosen to support their students' learning, as textbooks can significantly impact student learning and teacher instruction. When searching for a way to understand the various textbooks, my research…

In educational settings, reflective thinking is often overlooked, with an excessive emphasis on final answers, resulting in students needing more ability to evaluate and reconstruct their problem-solving processes. The ability for reflective thinking is required by students in solving problems, including numerical problems. This study uses a…

An important topic of study in secondary mathematics is non-linear functions, including quadratic equations. In this study, findings from 25 Year 11 students indicated that difficulties with critical prerequisite concepts such as algebraic conventions impeded students' success in understanding and working with quadratics. Analysis of student…