This paper presents methodology aimed at developing a rich understanding of the interplay of mathematical progress in the different social settings in which learning in inquiry-oriented classrooms occurs: individually; in small groups; and as a whole class. For this purpose, we enhance a theoretical-methodological approach of coordinating…

This research aims to increase our understanding about the effects of active learning, applying problem-based learning (PBL) methodologies to increase student motivation in various graphic engineering classes. The measurement instruments included a cross-sectional survey (n = 269) carried out during the years 2015 to 2019 through triangulation of…

This study investigates first-year undergraduate students of Primary Education Mathematics Teacher Education's knowledge and understanding of rotational symmetry in geometric shapes. Three students participated in this study, which was designed within the framework of a one-to-one teaching experiment (a qualitative research method) in the fall…

This article presents the "modus operandi" of a game, the so-called Game of Shapes, which can be used as an active learning tool to teach Constructivism to introductory International Relations courses. While sharing our own experience of the development and application of the game in a laboratory with International Relations students,…

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…

This research study focuses on preservice teachers' (n=66) inspection of pedagogical connections between geography and geometrical reasoning. The aim of this study was to empirically investigate the use of mathematical analysis to enrich the social studies topics of the distortion of country sizes on the world map. The analysis of data collected…

Although augmented reality has become one of the most commonly used materials that support learning, especially in learning geometric concepts, it is avoided to be used in the lessons due to its complex structure. At that point, artificial intelligence working as a personal assistant in many fields can help us learn to produce our own model with…

Spatial thinking has roles to facilitate learners to remember, understand, reason, and communicate objects and the connections among objects that are represented in space. This research aims to analyze the spatial thinking process of students in constructing new knowledge seen from the field-independent cognitive style learners based on…

In this paper, we explore how the typical second year undergraduate topic of matrix diagonalisation can be applied to solve a geometric problem which arises frequently in Vector Calculus: to find the curve of intersection of a plane and a surface. We use GeoGebra, which offers a cost-free and dynamic interface, to explore a specific variant of…

Games have shown to be great tools for learning a variety of topics, but few games have been developed mathematics topics at the undergraduate level. One possible avenue is to pursue digital game-based learning. The game "Vector Unknown" was designed from a task from the Inquiry-Oriented Linear Algebra (IOLA) curriculum to connect…

Cultural heritage is no longer something that can only be experienced in a museum exhibition. Digital tools have facilitated the distribution of material relating to artefacts, both in its representation and in presenting its context. This paper describes how digital modelling techniques can be synthesised with 3D scanning to digitally restore…

While traditional anatomy education often emphasizes passive learning and rote memorization, it seldom employs constructivist theories that focus on active, hands-on experiences for effective learning. This study tests the hypothesis that tactile experiences with modeling clay enhance geometric mental representation more effectively than verbal…

Due to its positive results, active learning has spread to most areas of knowledge of Civil Engineering. Many of these studies used only one technique, which is limiting given the diverse learning styles that the students may have. The road geometric design is the area that has been the least explored in Civil engineering. Therefore, the objective…

Fractals describe many natural phenomena; their strong visual-figurative nature found its mathematical conceptualization in the concept of self-similarity. In the current study, we investigate how students construct (fully or partially) the self-similarity concept while recursively constructing the Sierpinski triangle, working in small group and…

This work is the result of a pre-experiment carried out as part of a master's course, dealing with the study of the parabola through different mathematical views. It aims to recognize possible didactic obstacles in its teaching, based on intuitive manifestations in the resolution of a didactic situation based on GeoGebra software. The methodology…