The teacher's use of representations is a crucial aspect of instructional quality in mathematics education, given their pivotal role in facilitating mathematics learning. However, in our international research community, perspectives on what constitutes high-quality use of representations may vary. This cross-cultural study aims to explore whether…

In this article, we explored Grade 11 learners' algebraic and geometric connections when solving Euclidean geometry riders. A qualitative interpretive case study design was followed. Thirty Grade 11 learners from a non-fee-paying secondary school in the Capricorn North district of South Africa were conveniently sampled to participate in this…

This paper focuses on in-service teacher education as a crucial agent in driving educational paradigm shifts for the teaching and learning of mathematical modelling. Our paper presents empirical research based on two case studies, examining training courses for in-service secondary school mathematics teachers. The first course integrates different…

Widening and increasing participation in advanced mathematics studies at upper-secondary level (age 16-18) is a significant challenge for most education systems. Policy makers in Ireland have attempted to address this challenge over the past decade by introducing an incentive to encourage students to study advanced mathematics. This study examines…

Handwritten tasks are better suited than digital ones to assess higher-order mathematics skills, as students can express themselves more freely. However, maintaining reliability and providing feedback can be challenging when assessing high-stakes, handwritten mathematics exams involving multiple assessors. This paper discusses a new semi-automated…

The aim of this study is to examine how algorithmatizing tasks engage mathematics students in algorithmic thinking. Structured, task-based interviews were conducted with eight Year 12 students as they completed a sequence of algorithmatizing tasks involving maximum flow problems. A deductive-inductive analytical process was used to first classify…

The role of motivational processes in self-regulated learning is recognized in all the models of self-regulated learning, but differently conceptualized. Integrating the presumptions of the expectancy-value model, models of self-regulating learning, and distinction between motivational beliefs related to learning process and related to…

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…

It is widely accepted that the classroom teaching practices of in-service secondary mathematics teachers can benefit from the advanced mathematics they learned during their university education. However, pinpointing explicit instances of how this advanced knowledge informs teaching practices has proven challenging for both teachers and…

Our bodies help us learn, and our bodies may know something before we can articulate it. Embodied explorations are body-based learning experiences where learners have opportunities to make sense of and convey ideas with their bodies. These embodied explorations were taught at a suburban public high school, in the southern United States, that…

We present a so-called 'study and research path', designed for advanced high school teaching in the context of a master's thesis project, along with an outline of the mathematical and didactic background. The aim of the paper is to present and discuss an adaptation of Chevallard's 'paradigm of questioning the world' to currently prevailing…

One of the crucial fundamental mathematical skills for students is mathematical communication. This skill pertains to students' ability to convey the ideas and information they have acquired effectively. However, many students still have suboptimal mastery of this skill. Therefore, this study aims to develop worksheets based on realistic…

This article shares information from a research study with six high school mathematics teachers focused onthe elements that helped and/orhindered their ability to implement formative assessment practices,including learning targets, questioning, feedback,self-assessment, peer assessment, and instructional decisions in their classrooms. Although…

This study assessed the motivation, learning strategies, and academic performance of Grade 11 modular-based students in General Mathematics in identified secondary schools as a basis for a proposed performance enhancement plan. There were 624 Grade 11 students across three public senior high schools in Cebu who were determined using stratified…

This study describes the experiences of secondary-level mathematics teachers from the Department of Education of Puerto Rico implementing the strategy of contextualized teaching. Qualitative research framed in phenomenology was conducted, collecting data through semi-structured interviews and a review of normative documents from the Department of…