This study was conducted to develop and evaluate the effectiveness of the Fermi problem approach in enhancing measurement estimation skills in mathematics. Employing an action research design, 24 seventh-grade students (13 girls and 11 boys) from a southern Turkish middle school were selected using criterion sampling. Quantitative data were…

Inquiry-based instruction in undergraduate mathematics is commonly characterized by students producing mathematical content (e.g., definitions, theorems, or proofs) rather than consuming it. In this paper, we argue that a production-centered view of inquiry is unnecessarily restrictive and limits the full range of disciplinary activity available…

Critical events are incidents encountered by teachers in their practice that can potentially provoke questions about the instructional decisions made, gaining an entry to changing and improving teaching practices. Current research often conceptualises critical events as those that occur during instruction, but critical events can also occur before…

Research has shown that teaching mathematics through problem posing, or problem-posing based learning (P-PBL), is a student-centered instructional approach that can improve students' cognitive and affective aspects of learning. However, since textbooks continue to include very few opportunities for problem posing, researchers have been working to…

The relevance of the published research on the actualization of interdisciplinary integration at mathematics lessons is due to the need for conceptual clarification of what is included in the concept of an academic discipline, and, consequently, interdisciplinary integration. Currently, there is no uniformly consistent interdisciplinary…

Research suggests that troubleshooting activities that require students to reflect on teacher-crafted erroneous examples; i.e., erroneous solutions to problems that correspond to widespread naïve ideas, are beneficial to learning. One possible explanation to these beneficial effects is that troubleshooting activities encourage students to test the…

Arguably, the ability to generalize is an essential characteristic of students who succeed in mathematics and computer science. Teachers should be aware of its presence in their classroom and have tools to encourage its existence. Thus, it is important to examine the successful ways that generalization is taught. This systematic review examined…

This paper is part of a broader study which explores South African pre-service teachers' use of the jump strategy on the empty number line for enhancing their confidence to do and teach mental mathematics computation strategies. The focus of this paper is the use of micro-teaching in the form of video recordings by pre-service teachers. Forty…

Purpose: This research lies in the domain of Vedic mathematics, and it explores the application of the related Vedic sutras in different branches of mathematics, science, education, and engineering across Asia and Europe. Design/methodology/approach: The study embraced a qualitative research design followed by a systematic literature review (SLR)…

The growing use of programming in mathematics classrooms presents a challenge linked to implementation in general and task design in particular. This article presents design ideas for mathematical problems incorporating programming in which the focus remains mainly on learning mathematics and less on learning programming. The article starts by…

In this survey paper we focus on aspects of the quality of teaching mathematics from several perspectives. We differentiate between effective aspects that are empirically proven and more normative ones that constitute "good teaching" but that are highly dependent on context. High quality of mathematics teaching includes characteristics…

The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…

We examined the characteristics of video annotations frequently discussed during debriefing conversations as part of video-assisted coaching cycles. We also analyzed how mathematics coaches used written annotations to inject ideas into debriefing conversations when supporting teachers to reflect on important classroom events. Coaches and teachers…

The present study aimed to describe teachers' instructional flows when implementing a mathematical problem-posing task using scriptwriting technique. With matchsticks, a growing pattern that increases by a constant unit was created and presented to the teachers as a problem-posing situation. We analyzed the instructional flows in 50 scripts,…

The early years of education are a crucial time to develop a strong foundation of critical mathematical skills. A growing body of research continues to demonstrate that this foundational knowledge can be successfully built through teacher-facilitated, or guided, approaches to play. Despite its benefits, the implementation of guided play is…