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…

Finding teaching methods that foster students' development of geometric thinking and visualization skills is still a current challenge. This study analyses the effects of the combined use of paper folding and dynamic geometry on high school students' geometric thinking and visualization skills. A quasi-experimental study pretest/post-test design…

In this work, recurrent and linear sequences are studied, exploring the teaching of these numbers with the aid of a computational resource, known as Google Colab. Initially, a brief historical exploration inherent to these sequences is carried out, as well as the construction of the characteristic equation of each one. Thus, their respective roots…

Spatial ability was defined by Lohman (1996) as the ability to create, maintain, retrieve, and change visual pictures. Linn and Peterson (1985) distinguished among spatial perception, mental rotation, and spatial visualization. Spatial perception is the determination of spatial connections with respect to the orientation of the learners' body;…

The authors introduce the readers to a project that highlights digital heritage in early childhood. The highlighted teachers partnered with an anthropologically-trained archaeologist who utilizes advanced digital technologies to enhance public understanding of cultural heritage. This collaboration emphasized social studies and reinforced…

Aim/Purpose: This paper aims to evaluate the influence of an augmented reality mobile application on improving secondary students' visualization and comprehension of geometric concepts. Background: The study involved developing an AR app named Geometria to enhance geometry education. Methodology: In a specialized boarding school in Kokshetau,…

We present an accessible implementation of augmented reality projections for the depiction of complex structures and motifs, including atomic orbitals and elemental allotropes. The utilization of a free, cross-platform-compatible, online database of these structures provides the access route for closer examination, either via augmented reality or…

This paper describes how a dynamic figure was used as the basis for a task designed to support students in developing the hierarchical classification of the kites and their subsets. Following on from a previous study using the task with pairs of students, I describe how I embedded the task into a pedagogical sequence of activities, which included…

Many students are not good at geometric proofs. One reason for this is that it is possible to memorize the proof procedure explained by the teacher without understanding the structure of a geometric proof. So far, we have developed a web-based application that supports the understanding of the "structure of geometric proofs" in junior…

Spatial reasoning is defined as the ability to generate, retain, and manipulate abstract visual images. In chemistry, spatial reasoning skills are typically taught using 2-D paper-based models, 3-D handheld models, and computerized models. These models are designed to aid student learning by integrating information from the macroscopic,…

Geometry flat side material is crucial subject for students in senior high school. As the development of technology that increases very rapidly, it provides a chance to develop Media Interactive Learning (MPI) such as Course Lab MPI 2.4. This study was conducted to create a valid interactive multimedia teaching material, practical, and effective.…

This paper reports findings of an explorative study that examine the effectiveness of a GeoGebra-based dynamic applet in supporting students' construction of the formal definition of the limit of a sequence or convergence. More specifically, it is about how the use of the applet enables students to make connections between the graphical…

Purpose: The purpose of this paper is to present the development of a software for stereo visualization of geometric solids, applied to the teaching/learning of Descriptive Geometry. Design/methodology/approach: The paper presents the traditional method commonly used in computer graphic stereoscopic vision (implemented in C language) and the…

Information and Communication Technologies (ICT) in education provide a new learning environment where the student builds his own knowledge, allowing his visualization and experimentation. This study evaluated the Geogebra software in the learning process of Calculus. It was observed that the proposed activities helped in the graphical…

In this paper I describe classroom experiences with pre-service secondary mathematics teachers (PSMTs) investigating and extending patterns embedded in the Pythagorean configuration. This geometric figure is a fruitful source of mathematical tasks to help students, including PSMTs, further develop habits of mind such as visualization,…