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…

The fact that the mathematics course is abstract, that it is not possible to associate it with daily life, and that it is impossible to concretize abstract expressions causes a prejudice against the this course and leads to a decrease in the academic achievements of students. It is seen that throughout history, various studies have been carried…

Technological advancements are pushing new simulation and analytical tools, driving the research fields in design forward. In this environment, for introducing new modeling, simulation, and analytic tools, the pre-training aspect becomes important, presenting the ideas behind the tools and preparing the students to structure their already grasped…

According to Sinclair, Pimm, and Skelin (2012), the four big ideas of high school geometry are (1) diagrams; (2) variance and invariance; (3) definitions; and (4) proofs as the culmination of the proving process. On the first day of geometry class, Wayne Nirode began a multiday activity in which students were actively involved in working with…

This paper aims at defining and exploring design principles in a distance technological setting for an educational activity for mathematics undergraduate students, devoted to the construction of basic concepts in general topology, the promotion of problem-solving processes, the development of metacognitive aspects, and, in general, the development…

This study investigated the impact of integrating design-technological activities on developing mathematical competencies among construction engineering students. A mixed methods approach compared curriculum delivery with and without digital tools across universities in Kazakhstan and Turkey. First, semi-structured interviews of faculty provided…

This article presents activities focused on developing some essential Year 1-3 fraction understandings (i.e., joining/composing, decomposing/ partitioning) while aligning these activities to the Australian Curriculum content strands and content descriptions. Additionally, the authors describe the materials/resources needed, the key vocabulary…

In this paper, I share an activity that reinforces students' understanding of translations, reflections, and rotations via body movement. As a result of this activity, students gain a different perspective compared to previous explorations on paper, communicate mathematics, and visualize transformations as rigid motions on the plane. Furthermore,…

This paper reports on a teaching experiment on mathematical modelling in an upper secondary school class that investigates how the constructs of "model eliciting" and "emergent modelling" may be brought together to inform teaching and learning. A prominent role is covered by the process of task design, seen as a complex process…

Nowadays, digital technologies are crucial in supporting students in geometry in secondary mathematics classrooms. However, in some cases, the role of visual function in technology was only utilized for seeing and conjecturing, not for experimenting, while to develop a relational understanding of geometry concepts, students should actively…

It is generally agreed that making real-world connections in mathematics teaching increases students' motivation and interest and contributes to meaningful and permanent learning. In this paper we propose a simple and fast activity to find a rectangular hyperbola in real life and we show how to operate the data to retrieve a straight line. Since…

Various studies have indicated that incorporating origami activities into a geometry lesson can promote elementary and middle school students' mathematical reasoning, enhance their ability to use precise mathematical terminologies, and increase their communication skills. The authors wondered if origami activities have a place in high school…

This study explores volitional and affective responses to instructional activities aimed at developing geometric and spatial vocabulary of a neurodivergent student. Using teaching experiment methodology across 15 instructional sessions, we observed how the student responded to games, direct instruction, and vocabulary support embedded in spatial…

The aim of this study is to determine the effect of activity-enriched geometry teaching methods on elementary school students' perceptions, attitudes and self-efficacy towards geometry. In this context, the mixed method was determined to be the research design. Within the scope of the study, a training process was carried out with 22 students who…

Some goals of mathematics teacher education include ensuring that pre-service teachers (PSTs) have strong content knowledge, the skill to anticipate and interpret student thinking, the ability to plan how to respond, and the ability to critically select resources for instruction. These goals are especially challenging for the topic of geometric…