Physical manipulatives enhanced knowledge acquisition by engaging learners in hands-on experiences that supported spatial reasoning. These tools allowed learners to see, touch, and manipulate objects, improving their ability to mentally rotate and visualize structures. This study challenged the assumption that most learners are purely visual by…

Limited knowledge is currently available regarding the efficacy of mathematics education in online distance learning and the strategies that can be implemented to enhance its effectiveness. The purpose of this study is to investigate the changes in rural students' spatial skills when engaging in activities that necessitate the use of isometric…

Introduction: This study examines the spatial abilities of middle school students with visual impairments (i.e., blindness and low vision) in the context of spatial visualization. The study also aims to examine the strategies used by such students in solving questions requiring spatial ability. Methods: Participants comprised eight students with…

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…

Perceptually rich concrete manipulatives benefit mathematics learning. Because students should be challenged to consider connections between two-dimensional (2D) and three-dimensional (3D) perspectives of conics (NCTM 2000), this article describes hands-on teaching techniques that promote this type of student reasoning. This article aims to (1)…

Design research was conducted to investigate the development of dynamic conceptions of area. Students used simple physical instruments, squeegees, and paint, to generate rectangular areas continuously as a sweeping motion of one length through another. Then, they dissected the resulting swept space into discrete units of measure by coordinating…

As algebra teachers, the authors explore the following question in this article: "How can algebra 1, algebra 2, and precalculus teachers support students to develop algebraic reasoning and understanding of structure that can serve them in day-to-day algebraic computation?" The article shows how the algebraic identity "(a +…

Introduction: The emerging technology of three-dimensional (3D) printing has the potential to provide unique 3D modeling to support specific content in science, technology, engineering, and mathematics (STEM) education, particularly chemistry. Method: Seventeen (n=17) students with visual impairments were provided direct instruction on chemistry…

In this article, we examined whether technical drawing increased the mental rotation ability in 13- to 15-year-old students (N = 201). Students were pretested with the Mental Rotations Test. Later, a group of students was exposed to technical drawing for 10 weeks, which involved specific training with spatial activities and tasks, to increase…

This study aimed to identify the needs of a 10th grade congenitally blind student in an inclusive chemistry classroom and design and develop tactile materials to teach the 'energy in living systems' topic with particular emphasis on covering the symbolic language of the chemistry. A single case study design was used to carry out an in-depth and…

Comprehension of the 3D structure of objects usually represented in 2D is a critical part of understanding molecular geometries. The frequency with which students actually get hands-on with 3D molecular structures is often limited to a singular laboratory session. We sought to develop a set of molecular shapes that were inexpensive enough not only…

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…

Paper folding studies are quite effective in the development of students' visual and spatial skills. The "paper" used in these studies is a genuine tool that can support the development of geometric habits of mind as well as the visual-spatial skills. This is an action research aimed to investigate the potential of paper folding to…

Multiple Intelligence Theory suggests that individuals perceive knowledge in eight different ways. This article reports on a study that explored the role of manipulatives in the teaching and learning of trigonometric ratios in grade 10. The approach attempts in addressing three domains of the Multiple Intelligence Theory (linguistic/verbal…

Geometry is the branch of mathematics that addresses spatial sense and geometric reasoning. Students begin to understand geometry through direct interaction with their physical world. Because it is the study of the physical attributes of the environment, geometry has relevance for every student; the world becomes a big classroom. As students see,…