Problem solving and proofs have always played a major role in mathematics. They are, in fact, the heart and soul of the discipline. The using of a number of different proof techniques for one specific problem can display the beauty, and elegance of mathematics. In this paper, we present one specific, interesting geometry problem, and present four…

This article is an excerpt from a master's thesis developed in Brazil, in which we approach recurrent and linear sequences, given some intriguing particularities in their definitions and the scarcity of discussion of this topic in the literature of the History of Mathematics, especially with regard to its geometric representation. Thus, we aim to…

Background: Teachers must have the skills to find, select, design and use technology-based mathematical activities that focus on high-level cognitive demands--supporting student reasoning. However, they experience various difficulties in creating, planning and making decisions about how and when to utilize technological affordances. Objectives:…

Providing an overview of the accumulated scientific knowledge regarding the learning of geometry with dynamic software by pre-service mathematics teachers is currently a pertinent issue in Mathematics Education. The interest in this topic within the field is reflected in the significance attributed to the role of the teacher as a pivotal actor in…

This study investigates whether Vietnamese students face specific challenges when visualizing skew versus intersecting lines and whether using the anaglyph feature of GeoGebra can help overcome these difficulties. Employing a design-based research approach over four phases with 12th-grade students, the study involved tasks in traditional…

Aim/Purpose: This study aims to assess the effectiveness of a tessellation-based instructional program supported by digital technologies for enhancing geometric learning in primary school pupils. Background: Digital education offers various benefits, including increased motivation and engagement, and has been shown to be effective in teaching…

Technology to support collaborative learning has come a long way. Interactive tabletops support collaboration when correctly integrated in activity design. While these devices can now, in principle, be purchased by the general public, wide adoption in schools is hindered by their high cost and lack of mobility. In this paper, we analyze the…

Dynamic geometry software (DGS) has long been studied in mathematics education as a way for students to explore and interact with geometric objects and figures. Recent advances in Augmented Reality (AR) technologies that allow dynamic three-dimensional mathematical objects to appear in students' environment as holograms have changed the nature of…

The integration of learning models and software is a trend in mathematics courses. However, no existing learning model for geometry courses involves the students in the making of a tool or media project. The researchers noticed the potential of the project-based learning (PjBL) model and GeoGebra in analytical geometry courses. This study revealed…

This paper aims to clarify how the use of the GeoGebra dynamic geometry program helps students understand the relationships between different representations of a linear function and develop the ability to plot a linear function. The study was based on a quasi-experimental design. In control classes, the topic of functions was presented without…

The combined use of origami and dynamic geometry software has recently appeared in mathematics education to enrich students' geometric thinking. The objective of this research is to study the roles played by the interaction of two artifacts, paper folding and GeoGebra, in a construction-proving problem as well as its generalization in the…

GeoGebra represents a significant advancement in educational technology, providing dynamic tools for mathematics education. However, its specific impact on student motivation and achievement in geometry remains understudied. This research investigates the effects of integrating geometrical design through GeoGebra on these outcomes. Conducted over…

With the ever-evolving implementation of technology in the teaching and learning of geometry, the task of designing and/or finding suitable questions or problems that can facilitate and promote mathematical reasoning and accurately assess students' understanding of the subject matter can be a challenge. It is the aim of this article to share the…

This study investigates the embodied, symbolic, and formal reasoning of two fourth-year university students while exploring geometric reasoning about the Cauchy-Riemann equations with the aid of "Geometer's Sketchpad (GSP)." These students participated in a teaching activity designed to encourage shifts between embodied, symbolic, and…

This study examines the effectiveness of GeoGebra in enhancing students' conceptual understanding of points, lines, and angles within a socio-cultural learning context. A quasi-experimental, nonequivalent pretest-posttest design was utilized, involving 279 first-year secondary school students from four public schools in Rwanda. Participants were…