Teachers' ability to elicit and use evidence of student thinking during instruction is critical in high-quality mathematics instruction. The practice of anticipating students' mathematics supports teachers in noticing and being prepared to respond to student thinking during in-the-moment instruction. To date, most research on anticipating has…

Education 4.0 strongly promotes the development of communication, collaboration, critical thinking, and creativity (4C) skills among students. Consequently, it is crucial for mathematics teachers to integrate activities that facilitate the cultivation of these skills. However, the scarcity of resources, such as recommended instructional…

Competency-oriented student activities are an important means of enabling teachers to move from teaching fundamental knowledge to developing students' subject competencies. To examine mathematics teacher novice--expert differences in organizing competency-oriented activities, this study collected data from three consecutive lessons taught by an…

Rehearsals have become an increasingly popular pedagogy to support preservice teachers in developing competency in enacting challenging instructional practices and communicating associated pedagogical commitments. To understand how best to support learners participating in rehearsals, researchers have begun to analyse the facilitation of teacher…

Students encounter difficulties in understanding integral because the concept of integral requires the usage of theorems, formulas, daily life practices, and interdisciplinary approaches. From this point of view, in this study we examine the effects of a teaching process consisting of modelling activities on understanding the definite integral…

This study explores how the use of learning analytics (LA) visualizations to eliciting examples tasks (EET) on the topic of functions can shape middle school mathematics teachers' formative assessment (FA) practices. Teachers' practices were examined when provided with LA visualizations, offering them an interactive analysis of their students'…

Even before the release of the National Council of Teachers of Mathematics (NCTM)'s Principles to Actions (2014), teachers paid significant attention to mathematics tasks based on their positive influence on student learning (Doyle, 1988; Kazemi, 1998; NCTM, 1989, 2000). Over the last almost quarter century, we have learned a lot about high-level…

This research explores two methods through which ten preservice math teachers develop an understanding of trigonometric values. Using the unit circle, preservice math teachers engage in knowledge-building activities such as paper folding and GeoGebra application. Grounded in Altman and Kidron's 2016 didactical design research, this study examines…

The exploratory study combined an online survey and interviews with Australian primary and secondary mathematics teachers to examine their views on "Active, Bodily experience Mathematics learning activities." The research sought to identify teachers' expectations, challenges, and limitation for their implementation. Initial results…

Operations Research (OR) is a branch of applied mathematics that deals with optimization problems arising from different real contexts. The solving process of its problems is based on the construction and resolution of mathematical models, showing the possible connections between mathematics and the real world. Nevertheless, OR is not typically…

Undergraduate mathematics instructors are called by many current standards to promote prospective teachers' learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation…

Engagement in complex, challenging and multifaceted model-eliciting activities is considered helpful for preparing learners for everyday life. The current study seeks to trace the evolution of modelling routines during two model-eliciting activities. To identify how these routines emerged and evolved, we video-recorded a group of five prospective…

The study reported in this paper was conducted to examine four South African grades 7 teachers' understanding of the importance of instructional time as a teaching resource to develop learners' relational understanding in mathematics. A constructivist philosophical approach, document analysis, lesson observations and interviews were used to…

Teachers' beliefs and skills in, and attitudes towards technology are the factors shaping their technology use in education. However, teacher preparation programs don't sufficiently support pre-service teachers in this regard. One way to improve their technology beliefs and skills in, and attitudes towards technology is to have them design…

Conjecture formulation is crucial to mathematics education. Therefore, this study aimed to evaluate challenges prospective mathematics teachers (PMTs) encounter when using GeoGebra to formulate geometrical conjecture. A qualitative case study was conducted with an exploratory strategy to provide a complete comprehension of the occurrence. Six…