This paper focuses on solving net-related problems with SketchUp and emerging instrumented techniques regarding the use of push/pull tool. The data were collected from a series of task-based interviews with an undergraduate mathematics education student including three tasks focused on building 3D objects from given nets. Spatial structuring and…

Using a Dynamic Geometry System (DGS) students can engage in a dynamic learning process that allows them to experiment, create strategies, make conjectures, argue, and deduce mathematical properties. A DGS enables the introduction of proofs, by providing visual aids. The proof of the conjectures made emerges as the next step towards formalising…

As computational thinking (CT) is new to teachers, they need support on how CT integration will work. This study examines the use of a hypothetical learning trajectory (HLT) to support teachers in integrating computational thinking into mathematics lessons utilizing GeoGebra. By employing the educational design research (EDR) methodology, the…

Mathematics seems abstract, difficult, and uninteresting to many students, which in turn reduces their interest in learning mathematics. It has been found that the use of ICT and meaningful contexts of problem-solving tasks can make learning mathematics more enjoyable and easier to understand for students. To increase students' interest in…

Spatial geometry is one of the multi-purpose fields of mathematics and is tightly linked to the development of mathematical and intellectual thinking. Spatial thinking is necessary in various areas of life such as civil engineering, mechanical engineering, interior design, graphic design and other. At present, teaching spatial geometry is mainly…

Embodied cognition has recently gained increasing attention in mathematics education research. However, little is known about ways to use an embodied approach to reach for mathematical abstraction. In this study, we investigate this topic for the case of functional thinking (FT) using digital technology (DT) through a systematic literature study.…

The present study, carried out in the context of a Teacher Professional Development (TPD) Program on mathematical modelling and digital technologies, focuses on how Italian mathematics teachers refer to digital technologies in designing their lessons and investigates to what extent the TPD program impacted the way by which teachers design their…

In this paper, we describe an idea for mathematics lectures that involves using digital tools for first-year university students. Materials in the Moodle course include live broadcasts, lecture recordings, Moodle tests, sample solutions and videos. The aim of the paper is to find out from students' feedback which digital tools help them understand…

In this paper we deal with a geometric machine that has gone somewhat unnoticed in mathematics education: the Perfect Compass. It allows conics to be drawn using a special two aperture compass, based on Apollonius' conic sections. Proposed in the 10th century, it seems that it was never built in medieval times--at least no archaeological remains…

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…

When implementing digital technologies into mathematics teaching and learning situations, new representational and communication infrastructures arise that allow for new speech acts and actions. These new speech acts and actions are also referred to as 'representational expressivity'. Such expressivity arises in the intersection of…

In recent years, we have witnessed rapid technological and digital changes that have inevitably affected mathematics education. This article presents findings on the use of digital technologies by Italian mathematics teachers, especially in this period of digital revolution amplified by the pandemic, and on the teachers' level of training in the…

This research aims to investigate the construction of the area of rectangle with GeoGebra and how students can formulate it. It focuses on describing the cognitive process involved in constructing this concept and how technology mediates such a process. The research was conducted in a classroom with 5th grade students in a secondary school and was…

In this research, we investigated whether the use of GeoGebra Augmented Reality (AR) can foster students in conceptualising a mathematical object by manipulating its different semiotic representations. We designed and implemented, with thirty university mathematics students, a teaching sequence on paraboloids using GeoGebra AR supported by…

In this paper, we present a computerized tool developed specifically for a study that examined the development of creative thinking among third and fourth graders, following multidisciplinary instruction that combined mathematics and music. The computerized tool included closed and open questions. The closed questions allowed the students to…