This article presents a teaching proposal that emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. More concretely, these concepts were introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was designed after observing architecture students…

The purpose of this study was to investigate kindergartners' geometric (shape, area and symmetry) and spatial (spatial orientation and spatial visualization) thinking skills, in the context of gender and age. Whether kindergartners' geometric and spatial thinking skills vary by their age or gender was questioned. A total of 73 kindergartners (40…

For an electrical engineer, training of power system configuration and operation is an essential problem. This paper proposes new training device which consists of separated circuit blocks (module). For example, induction generator, inverter, capacitor, measurement, are used. The trainee selects and assembles them to build a circuit then easy to…

Problem-solving skills in creative, open-ended domains are both important and little understood. These domains are generally ill-structured, have extremely large exploration spaces, and require high levels of specialized skill in order to produce quality solutions. We investigate problem-solving behavior in one such domain, the…

In 2 experiments, college students read a 4-paragraph text on how the human circulatory system works and were instructed to form a mental image of the events described in each paragraph from the perspective of their own body (first-person perspective group) or from the perspective of a fictitious person facing them (third-person perspective…

Peer-review software is often used to allow authors to evaluate their code and its technical text content. In education, peer review is a common practice used not only to evaluate the quality of academic research but also to measure students' engagement in the classroom. In visualization education, numerous researchers have addressed techniques of…

For the last decade, remedial spatial visualization training has been offered to first-year engineering students in traditional classroom settings where students attend class and interact face-to-face with an instructor and peers. An alternative to the traditional pedagogical approach is a multi-modal blended learning format that combines in-class…

This study aimed to understand teachers' classroom practices using computer-based simulations (CBS) when teaching electrolysis. The study was framed by the Consensus Model of Pedagogical Content Knowledge. Convenience and purposive sampling were used to select three experienced chemistry teachers from three schools in Eswatini (Swaziland).…

The aim of this research is to introduce a method of constructing knowledge structures which represent the relationships among the knowledge items in a pedagogically useful way. A prototype, "MyTeLeMap," was implemented to support both learners and instructors. Learners could visualize the knowledge structures of different knowledge…

This article describes the findings of a qualitative phenomenographic study that explored students' engagement from the perspective of the students. It describes how the participants perceived their engagement when they learned social studies using GIS Story Maps. Qualitative data collection involved classroom observations, student-written…

Sculpting representations of human organs out of modeling clay is an acknowledged method of teaching anatomical structures. Because of its potential to provide detailed spatial information, stereoscopic imagery can be understood to function as a suitable template for such sculpting tasks. Currently, it is unknown whether the advantages of…

A curriculum map is a visualisation of relationships within and between a curriculum or curricula. Curriculum mapping refers to the method for creating and using the curriculum map, however this term is used broadly and encompasses a variety of methodological approaches. Often, researchers in the field of curriculum studies conduct curriculum…

The aim of this study was to improve pre-service teachers' ability to infer cross-sections of geometric solids with Wolfram demonstrations and Mathematica in Analytic Geometry II course. The study was conducted with third year students studying Elementary Mathematics Education. In this study, the pre-test--post-test control group design was used.…

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…

In this paper I analyze students' conceptual understanding of the quality of polynomial approximation. In particular, I analyze to what extent the interactive play with various methods of interpolation enables the students to build visual pictures that help understanding the formal mathematical statements. The role of the Mathematica software in…