This contribution focuses on reasoning about quadrilaterals provided by lower secondary school students when working with pre-prepared dynamic constructions. On this topic, we present an exploratory empirical qualitative study carried out within a GeoGebra Classroom environment, and our diagnostic instrument consists of a set of dynamic…

This study aimed to define the concepts and learning objectives related to the polygons sub-learning area of the 7th - grade mathematics course as ontology-based and to develop a measurement tool based on this ontology within the framework of competency ontology. In this study, we determined and included the learning objectives in the ontology…

Here, we present a 3D printed experimental apparatus that students can use to acquire interference and diffraction quantitative data from light passing through a single or double-slit experiment. We built a linear screw stage with a multiturn potentiometer connected to its leadscrew as a position sensor. Using an Arduino, we collected light…

This study explores the effectiveness of GeoGebra in enhancing students' understanding of vectors in mathematics education. The research compares traditional teaching methods with the application of GeoGebra to determine its impact on conceptual and procedural knowledge acquisition. Vectors are often challenging for students to grasp due to their…

This paper presents research into closed orbits parallel to quadrilaterals inscribed in various geometric shapes that can be represented by mathematical functions: straight lines, circles, ellipses, parabolas, and hyperbolas. Mathematical proofs have been given for the existence of an infinite number of parallel orbits for each of these shapes.…

An Augmented Reality (AR) approach to creating a maths education app is the focus of this research. To turn the 2D floor plan into 3D objects, students will use their mobile devices to scan the cards. Students can have a better understanding of the 3D shape from various angles by interacting with virtual 3D items. Students can gain a deeper…

Furniture carpentry uses spatial structure and geometry, e.g. mortise-tenon joints, which require cognitive judgments of hidden views and spatial understanding. For the furniture carpentry novice, the idea of spatial geometry in the mortise-tenon joint is difficult to understand because furniture carpentry drawings are usually two-dimensional…

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in mathematics class. MLD students worked on modelling geometric shapes (cubes, cuboids, squared pyramids, and octahedrons) and forms (polygons) by…

Previous research has verified the benefits obtained when learners trace out worked examples with the index finger. Our study conducted two experiments to explore the reasons for this phenomenon and its generalizability. Experiment 1 compared the learning effects among tracing, non-tracing, and cueing methods. The cueing method was included to…

The aim of this research was to examine the effect of GeoGebra-aided REACT strategy on the understanding of geometry concepts and to investigate the interaction between learning strategy and spatial ability on the understanding of geometry concepts. This research involved 60 students of Grade 8 at a private Junior High School in Borong, province…

We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties,…

The present study assessed a short training experiment to improve spatial abilities using two tools based on virtual technologies: one focused on manipulation of specific geometric virtual pieces, and the other consisting of virtual orienteering game. The two tools can help improve spatial abilities required for many engineering problem-solving…

The education of architectural designers begins by learning drawing and digital modelling following the notion that students learn these new modes as instruments of thinking in design process. Curricular arguments persist about which mode should follow the other. Difficulties occur when one mode replaces the other. Students uninitiated to design…

The main purpose of this study is to determine the effects of using dynamic mathematics software on pre-service mathematics teachers' ability to infer the shape of a cross section of a three-dimensional solid, as well as on their spatial visualization skills. The study employed a quasi-experimental design with a control group; the Purdue Spatial…

The purpose of the present study was to compare the effects of two different teaching methods on students' comprehension in Mathematics: pictures with concurrent narration versus pictures with on-screen text, during teaching triangles, a lesson in Mathematics. Forty primary school children (boys and girls) selected to participate in this study.…