Optimization is introduced to teaching in secondary school, focussing on functions of one variable with the first derivative criterion for critical points and monotonicity of functions. The second derivative criterion is also used to determine the nature of the critical points. Similarly, in university-level teaching, algebraic work using criteria…

Research has highlighted the important role that the senses play in mathematics thinking and learning, particularly in the area of visualisation, but also in relation to physical movement. Recent scholarship suggests that sensory experiences are not limited to the five cardinal senses but involve a range of other specific senses as well as…

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…

The complexity of the art of teaching and learning, especially in the field of mathematics, calls for a broader approach than the traditional status quote. Proof without words in geometry coupled with the dynamic and interactive GeoGebra applet have the capacity to be used in all levels of mathematics education from grade schools to higher…

External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…

We report on a group theory activity in which learners explored dihedral symmetries through a tangible geometric model. This approach has historical roots in the work of Felix Klein's Erlangen Program and his "Elementary Mathematics from an Advanced Standpoint." We situate our study with respect to this history as well as current…

A concept map is a visualisation of a group of related concepts with their relationships identified by directed arrows, which can be viewed as an externalisation of a schema encoded in a learner's long-term memory. Concept maps have become popular learning tools in various educational settings. However, the existing research has not fully explored…

The geometric design of roofs is a key element in the design and construction of buildings. Roofs play an important role in protecting buildings from the weather and providing esthetic appearance and functionality. Theoretically, to design a roof over a given plan means to construct the projections of the intersections of the roof planes. All this…

This research investigates significant moments in college students' drawn life stories in mathematics with the aim of examining implications for STEM engagement and potential reasons for gender-related differences in participation in mathematics intensive STEM fields. My research employs drawn life stories in mathematics specifically focused on…

Self-regulated learning (SRL) is crucial for fostering lifelong learning skills in students, encompassing planning, monitoring, and controlling abilities. Previous research indicates that many students struggle to regulate their learning effectively. In the Netherlands, adaptive learning technologies are widely used to support math education in…

STEM education (based on the integration of the science, technology, engineering and mathematics disciplines) has recently been an integral part of education system and curriculum in many countries aiming to be more technologically competitive in this age of innovation. While the importance of STEM education has gradually increasing in education…

In the world where we always meet geometric constructions, it is a necessity to make sense of the objects belonging to these constructions. In this respect, this study aimed to examine the teaching of volume with the blending of the realistic mathematics education (RME) and GeoGebra. The study group consisted of 12 students attending lessons…

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…

The goal of the study is to create Visual Basic and MATHCAD apps to create programs that show the core force using physical forces as an example. The research subjects are high school teachers and students; the inherent context is high school STEM courses. Programs for computer visualization have been developed, and theoretical investigations have…

This study aimed to contribute to the literature by examining the impacts of using GeoGebra on students' perceptions and achievement in learning geometric transformations. This study contributes to mathematics education and learning environments supported by GeoGebra. This study reviewed the literature on social constructivist learning theory and…