This dissertation proposes the development of an educational video game that teaches its players. This proposed game seeks to address the following two issues/problems within the topic of shape grammar. First, the process of designing with shape grammar requires the designer to first develop shape rules at the start of the design process, opposite…

We implemented GeoGebra software in Rwandan secondary schools to check its effectiveness during teaching and learning geometry concepts. The quasi-experimental design was used, and four schools were purposefully selected. Two schools were from Northern Province, while the other two were selected from Kigali city. A geometry-based test composed of…

Starting from the elementary school years, geometric reflection has potential for students to improve their understanding of plane geometry. Although it gives them opportunities to investigate the motion view of the transformed figures and mapping of all points in the plane onto itself, the instructional tasks and teaching practices generally…

This study assessed the extent to which visuospatial processing, as measured by visual scanning behaviour, was associated with infants' ability to recognize mirror image and structurally distinct three-dimensional objects. Simplified Shepard and Metzler (1971) images were employed. Using a remote eye-tracker, infants ages 10 to 17 months (n = 130)…

For teachers to provide students with meaningful instruction in area measurement, teachers need robust understandings of area. Here, I describe two cycles of a "lesson experiment" used to investigate prospective teachers' understandings of area units in an undergraduate mathematics class. For each cycle, I collected and analyzed the…

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…

Reasoning and justification are among the core skills that mathematics education aims for students to acquire. Studies indicate that students having these skills are able to formulate meaningful geometric ideas. It is also important that students know the significance underlying the operations and mathematical ideas employed or, in other words,…

"Tedhak siten" is a Javanese traditional ceremony that marks the 8th month of the baby's age, marked by the baby's readiness to set foot on the ground. This tradition has a philosophical meaning with Javanese cultural values related to the concepts of calculating the ceremony time and the geometric shape of the ceremonial equipment used.…

Findings synthesized across five empirical, laboratory-and classroom-based studies of high school and college students engaged in geometric reasoning and proof production during single and multi-session investigations (346 participants overall) are presented. The findings converge on several design principles for embodied mathematical thinking and…

Research indicates that establishing a strong foundation in early mathematics is essential for later academic learning. Previous research with students who are deaf or hard of hearing (DHH) has shown varying differences in the performance and achievement when compared to typically hearing (TH) students. While the majority of research in this area…

This study aims to establish a knowledge base on how to support students in learning. We develop an initial hypothetical learning trajectory by formulating learning activities and predicting the development of students' thinking and understanding. The methodological framework employed in this study is design research, which seeks to generate…

The low knowledge and love of students for culture, plus based on preliminary analysis, it is known that geometry skills are relatively low. The a need for harmony between student and teacher learning styles to maximize student engagement and focus in the classroom. So this study aims to create a culture-based Geometry learning design that…

This study focuses on the design and the implementation of a digital environment aimed at fostering strategic planning competence in problem-solving through individualization features: the Individualized Planned Strategy Environment (IPSE). Within IPSE, students are engaged in a sequence of oriented activities, guiding them in constructing and…

We present a theoretical study that allows us to attempt framing in an embodied perspective the effectiveness of the drawing robot GGBot in the learning of geometry. The aim of the article is to set the intertwining of activity, semiotics, perception, and knowledge at the crossover of Radford's theory of objectification (TO) and Borba and…

The aim of this study is to evaluate prospective mathematics teachers' knowledge of teaching strategies on geometric objects by observing their instruction through teaching practicum. Because the observation is of prospective teachers' teaching-strategy knowledge in real life contexts, conducting the study in a classroom environment enables this…