Tangrams are a traditional Chinese puzzle comprising seven pieces that fit together to make a square. The seven pieces include two large right angled isosceles triangles, one medium size right angled isosceles triangle, two small right angled isosceles triangles, a small parallelogram, and a small square. The literature shows tangrams have been…

In this article, we present an educational proposal designed to work on spatial geometry and three-dimensional thinking with students in the last years of Primary Education. The proposal is comprised of several activities that combine the use of a classroom videogame and working with manipulative materials to create a representation of the…

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…

Since one of the main goals of teaching geometry is to provide students with the opportunity to develop spatial reasoning, it is important to find the most suitable support for learning 3D geometry in elementary school. This paper compares Information and Communication Technology (ICT) and physical manipulatives support, with the aim to answer if…

This study compares the effect of Augmented Reality (AR) based virtual manipulatives to physical manipulatives for teaching geometric shapes to preschool children to improve their spatial skills. A quasi-experimental research design was utilized in order to answer the research questions. The context of the research was a public primary school in…

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…

Research Findings: Engineering play is a new framework for understanding constructive block building as a design process. The current study examined associations between engineering play with wooden unit blocks and mathematics and spatial skills of children with and without disabilities. Participants included 110 preschoolers (44% female; 25%…

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 +…

Teaching geometry courses for preservice elementary teachers, we observed that difficulty with classifying shapes (and, in particular, composite 3-D shapes) persists even after work with simple shapes to support the writing of accurate and unambiguous definitions. We conducted a self-study of our teaching of 3-D concepts to uncover the concept…

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 study it was aimed to determine the effect of geometrical-mechanical intelligence games activities that are conducted with concrete materials and in computer environment on the spatial visualization and mental rotation skills of prospective teachers and to examine the opinions of prospective teachers about the activities. The research was…

This study explores preschool children's mathematizing in everyday block play activities. Building on an ethnomethodological and multimodal conversation analytic framework, we explore how geometry (i.e. spatiality, shape, and symmetry) is actualized in children's verbal and embodied interaction with their peers, pedagogues, and material…

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in mathematics class. MLD students worked on modelling geometric shapes (cubes, cuboids, squared pyramids, and octahedrons) and forms (polygons) by…