This paper reports on five secondary school mathematics prospective teachers' conceptions of "extreme point." The analysis of the data addressed students' definitions, examples, and evaluation of given examples, with special attention to the related domain. Written assignments and individual interviews uncover salient, erroneous concept…

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 study aimed to observe the competencies of pre-service mathematics teachers in designing mathematical modeling tasks. The participants were 45 pre-service mathematics teachers enrolled in a Mathematics Education Theory course at a university in Seoul, South Korea. Data were collected from surveys and task development reports. The participants…

Background: Educational technologies typically provide teachers with analytics regarding student proficiency, but few digital tools provide teachers with process-based information about students' variable problem-solving strategies as they solve problems. Utilising design thinking and co-designing with teachers can provide insight to researchers…

Previous research on whether pre-service teachers change their views of mathematics and its teaching during their education has mixed results. We pursued a descriptive understanding of the effect of teacher education on the views of teacher education graduates, through using data from ten interviews with Swedish secondary mathematics pre-service…

The invention of problems is a fundamental competence that enhances the didactic-mathematical knowledge of mathematics teachers and therefore should be an objective in teacher training plans. In this paper, we revise different proposals for categorizing problem-creation activities and propose a theoretical model for problem posing that, based on…

Reasoning is the process of thinking used to make claims and reach conclusions. It is among the first skills that should be taught to students in mathematics lessons and contributes to the creation and development of mathematical foundations. This study identifies evolution and trends in research on mathematical reasoning over the last four…

Understanding part-whole relations is crucial in early mathematics education. However, both analogue and digital learning environments often lack systematic approaches to foster part-whole understanding. With the rising popularity of educational apps, it is essential to evaluate how they implement learning of part-whole relations. Accordingly,…

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…

The modeling approach is used to prepare students to become responsible citizens and face the challenges and demands of modern times, mainly when they engage in modeling activities using digital tools. This study investigates the features of digital tools used in modeling processes among prospective teachers. Thirty-two prospective mathematics…

Virtual reality (VR) has gained prominence and a growing prevalence. However, parental attitudes toward using VR for educational purposes (i.e., educational VR (EVR)) are under-researched. This study investigates parents' perceptions and experiences regarding the use of EVR, focussing on mathematics learning. Using the technology acceptance model…

Mathematical induction is a powerful method of proof, taught in most undergraduate programs involving mathematics and in secondary schools in some countries. It is also commonly known to be complex and difficult to comprehend. During the last five decades, mathematics education research has produced numerous studies on the learning and teaching of…

Successful homework completion necessitates engagement in self-regulated learning activities. The key challenge lies in fostering self-confidence among students to enable them to complete homework independently. Applying the importance-performance theory, the study uses a unique statistical tool to assess homework completion for practical…

Despite the evidence of its effectiveness on student learning, ambitious mathematics instruction has proven to be challenging for teachers to enact. Increasingly, instructional coaching programs have become a way of providing intensive one-on-one support to teachers to improve the quality of mathematics instruction. Researchers have identified…