While helping proofread a book during my doctoral studies, I came across a chapter that included (among other things) a discussion of a set of problems and tasks involving the building of towers using only two (or three) colours of cubes (Maher & Ahluwali, 2014). Later that year, as I started my tenure track position at the University of…

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…

Introduction: Past studies have provided evidence that the effects of tactile stimulation on binocular rivalry are mediated by primitive features (orientation and spatial frequency) common in vision and touch. In this study, we examined whether such effects on binocular rivalry can be obtained through the roughness of naturalistic objects. In…

Three-dimensional printing (3DP) technology has been increasingly applied in health profession education. Yet, 3DP anatomical models compared with the plastinated specimens as learning scaffolds are unclear. A randomized-controlled crossover study was used to evaluate the objective outcomes of 3DP models compared with the plastinated specimens…

Teaching the properties of geometric shapes in traditional ways does not help children to understand them, nor does it enable them to visualize them. It may need methods that correspond to the characteristics and tendencies of children and more interesting methods based on fun learning. Designing 3D geometric shapes with children through pop-up…

Many students struggle to understand the sometimes counterintuitive and complicated organization of the retina. As soon as they begin to grasp these complex relationships, we add another confusing concept: the organization of receptive fields of individual ganglion cells. Publishers provide figures in textbooks and videos, but like many topics in…

In 1981 I published a note on "Balancers" as part of a series of illustrations drawn from 19th-century physics texts. Some months later a wonderful present arrived from a physics teacher in Japan, showing the range of our journal. This was the Horse and Rider Balancer in Fig. 1 that was just like the woodcut in my note. The little…

Difficulty in visualizing anatomical structures has been identified as a challenge in anatomy learning and the emergence of three-dimensional printed models (3DPMs) offers a potential solution. This study evaluated the effectiveness of 3DPMs for learning the arterial supply of the head and neck region. One hundred eighty-four undergraduate medical…

This study aimed to examine whether withholding answers coupled with physical manipulation of material strengthened by the self-explanation effect (SEE) contribute to the development of a deeper conceptual understanding and retention of learning about motion content in a hands-on (HO) learning environment. The correlation between students'…

This article presents an original puzzle that supports students' development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought. The "Triangle Puzzle" is one of many tools teachers can use to guide students' learning of geometry. The Van Hiele's theory provides a way to assess and support this…

Background: Young people with learning disabilities use many digital technologies to undertake meaningful and social activities in their everyday lives. Understanding these digital activities is essential for supporting their digital participation. Including them in exploring their digital activities can be challenging with conventional…

The aim of the present study was to investigate the effects of block play on the creativity of children. The present study adopted a quasi-experimental research design, with pre- and post-test control groups. The study group consisted of a total of 52 children, enrolled at preschool education institutions in Ankara province in Turkey. The children…

In a previous article, "The Shape of Reasoning: Using Geometry to Promote the Reasoning Proficiency Strand" (EJ1286217), the author put forward the argument that no medium is more powerful than geometry as a vehicle for developing the mathematical proficiency strand of Reasoning. Because geometry is so visual and tactile, the…

This paper introduces tools for converting circular-featured-waste into polygonal construction parts and then 3D polyhedra. The tools, including diagrams, 3D printable joiners and mathematical formulae are designed for mathematics-related play, re-use, learning, design and improvisation. Activities for students include making assemblies, gathering…

This article presents a case study of two Grade 5 boys' argumentation concerning addition and subtraction of negative numbers while using an interactive tablet-based application simulating positive and negative tiles. We examine the properties of integers they conjectured, and the kinds of evidence and arguments they used to support their…