Coaching teachers is complex work as coaches must navigate multiple and competing roles of expert and colleague. Within mathematics education, there is a lack of research exploring how coaches enact their stance for coaching, balancing the roles of expert and colleague, in ways that best support teacher learning. Furthermore, little is known about…

This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…

In this paper, a simple proof of the Morley's Trisector Theorem is presented which involves basic plane geometry only. The use of backward geometric approach, trigonometry or advanced mathematical techniques is not required. It is suitable for introducing to secondary or undergraduate students, as well as teachers or instructors for learning or…

This article captures a convergence of its authors' life experiences and existent data, made possible by Complex Instruction (CI). There is a pressing need to study and support the foundational practice of "assigning competence," which requires that a teacher first recognise students' strengths and publicly name their academic…

Despite interest in how students' implicit theories--their growth and fixed mindsets about their own learning--affect students as learners, relatively little research on mindset has looked at "teachers" as learners. This study explores elementary teachers' implicit theories about the malleability of mathematics intelligence and teaching…

This study examined seventh-grade students' emergent and progressive financial literacy in the context of risk and reward while working on two mathematical modelling tasks. The participants were six seventh-grade students identified as 'good at mathematics' by their teachers. The data sources comprised videotaped group discussions, group…

Early intervention includes approaches to responding to young children may profit from targeted services. This study aims to synthesize recent evaluations of intervention programs of Big Math for Little Kids, Building Blocks, and Prekindergarten Mathematics Intervention Program in preschool and kindergarten children to determine the effectiveness…

A growth mindset is the belief that one's intellect and abilities may develop through effort. This mindset suggests that intelligence is not fixed but adaptable. With the continuous growth in literature on the growth mindset in mathematics, there is a need to investigate the current trends from a bibliometric perspective. To meet this need, the…

In the primary grades, engaging in counting collections provides students with regular opportunities to make sense of numbers in dynamic ways, build social skills, and communicate about mathematics. This article aims to guide elementary educators through a team's process of planning and implementing counting collections in kindergarten. Counting…

Students often instrumentally use variables and unknowns without considering the variational thinking behind them. Using parameters to modify the coefficients or unknowns in equations or systems of linear equations (without altering their structure) involves consciously incorporating variational thinking into problem-solving. We will test the…

As new technological developments continue to change the educational landscape, it is not an exception in the area of proof and proving. This classroom note introduces the use of one of the trending proofs assistants -- the Lean theorem prover. We first provide a technical account of Lean, then exemplify Lean proofs in propositional logic, number…

The study examines the levels of understanding logarithmic expressions within the frames of a mathematical card game. The game is based on the popular card game Saboteur. In this paper, we analyse the progress of a group of six undergraduate students participating in a remedial course using games for recalling some fundamental mathematical…

Early math skills predict later achievement for young children; thus, it is important to expand what is known about how to support preschool children's development of these skills. While there has been some research on interventions, including those using systemic instruction, to teach math skills to preschoolers, there is a need for additional…

The professional character of mathematics teachers is influenced not only by their ability to manage learning but also by their beliefs about the subjects they teach. These beliefs include beliefs about the nature of mathematics (BNM), beliefs about mathematics learning (BTM), and beliefs about assessments (BAM). Together, these beliefs shape the…

The efficacy of mathematics interventions for students with mathematics difficulties is a critical concern in educational research, particularly in light of the increasing demand for effective instructional strategies. While previous meta-analyses have explored various aspects of mathematics interventions, our study uniquely focuses on a broad…