Building activities can be used any time in the school year in mathematics classes to promote problem solving, perseverance, and to develop students' spatial thinking. Spatial visualization skills are the "ability to mentally manipulate, rotate, twist, or invert a pictorially presented stimulus object." The authors were guided by the…

This article discusses the advanced characteristics of a mathematical and geometrical system explained and published in the course of several preceding journal articles (Teia, 2015, 2016, 2018a and 2018b). The reading of the preceding articles is encouraged for a clearer understanding of the discussion that follows.

Teachers of geography have an intuitive sense that geospatial technologies are useful additions to their classrooms but the academic literature supporting this intuition is not substantial. This article summarises the documented benefits of geospatial technologies for geography teachers and students. Implementation of geospatial technologies in…

Mental rotation (MR) is the ability to transform a mental representation of an object so as to accurately predict how the object would look from a different angle (Sci 171:701-703, 1971), and it is involved in a number of important cognitive and behavioral activities. In this review we discuss recent studies that have examined MR in infants and…

Using geographic information systems (GIS), spatial data, and web mapping tools to enrich teaching and learning in geography courses is an effective way to integrate critical thinking and spatial analysis into the classroom (or virtual classroom). This lesson describes mapping song lyrics through ArcGIS Online. It explores how students analyze and…

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;…

Despite the interesting applications that the PDF-3D offers in teaching, especially for subjects related to spatial comprehension difficulties, such a didactic tool is not well known in the education sector. Thus, a proposal of using PDF-3D in engineering studies is presented in this paper, specifically, in the field of teaching ternary phase…

Spatial visualisation is an essential component of geometric thinking and measurement sense. It is a particular type of spatial skill that involves manipulation of spatial images and may not be naturally occurring for students. However, research shows that it is malleable and can be developed through instruction. This article presents an…

In this article Kay Owens explains how a real-world context can be used to encourage student noticing and deeper analysis of geometric structures when students are asked to draw what they saw. Kay presents examples of students' drawings made during a school trip to the zoo which followed a series of inquiry learning experiences in geometry.

The definition of visualization in engineering graphics has evolved over the years due in part to extensive research in visualization by the engineering design graphics profession. The literature indicates research in the areas of engineering graphics and the use of visualization has grown from improvement of visualization skills and the…

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…

Understanding the spatial nature of the world is necessary in everyday life. Not only do people move about in 3D space, but spatial thinking is also important in many science, technology, engineering, and mathematics (STEM) disciplines. This may be especially true in the geosciences, where learners often encounter unique spatial reasoning…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

We consider here a number of ideas for the classroom or lecture theatre associated with the mensuration of solids. In particular, the volumes of various tetrahedra are obtained in an indirect manner (by way of prisms and square-based pyramids). This activity develops problem-solving skills, spatial visualization and a from-first-principles…

This article describes the release of the second edition of "The National Atlas of Korea" (Choe 2015), published in December 2014 by the National Geographic Information Institute (NGII) of South Korea (the Republic of Korea) in both Korean- and English-language versions. This second edition is a major update and improvement over its 2009…