Area should be experienced, not simply calculated. This task invites students to physically experience areas and the spatial relationships between them, as well as their own community.

This article is intended to contribute to greater knowledge regarding the importance of flow and the time used to perform an activity, with a focus on students' mathematical experiences of 3D bodies. Thirty-one 9th-grade students took part in the study. Flow and variation theory was used in the analysis of lesson observations, submission tasks,…

Cultural heritage is no longer something that can only be experienced in a museum exhibition. Digital tools have facilitated the distribution of material relating to artefacts, both in its representation and in presenting its context. This paper describes how digital modelling techniques can be synthesised with 3D scanning to digitally restore…

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…

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)…

Courses at the postsecondary level continue to rely heavily on visual material that is accessible only to fully or partially sighted students. Tactile graphics work for many pedagogical purposes, but in some cases are insufficient; other information and concepts may be better conveyed through haptic exploration of 3D printed objects. However,…

Role-playing simulations can provide students with experiential learning opportunities to develop strong interviewing and diagnosis skills, and practice skills they are learning in their classes. In this study, students completed role-playing activities in an online 3D virtual counselor training facility, and interviewed "patient"…

The visualization of chemical compounds in three-dimensions is a foundational skill in the study and practice of chemistry and related fields, and one which has the potential to be supported by interaction with virtual models. Here, we present a collaborative learning activity piloted in first-year chemistry which investigates if inquiry-driven…

The overall goal of the present study was to develop, implement, and test the effectiveness of a curriculum designed to improve spatial thinking amongst preschool children. Specifically, the study explored the effects of shape-based training on 4-year-old children's ability to disembed and whether the training transferred to improvement in mental…

The present study assessed a short training experiment to improve spatial abilities using two tools based on virtual technologies: one focused on manipulation of specific geometric virtual pieces, and the other consisting of virtual orienteering game. The two tools can help improve spatial abilities required for many engineering problem-solving…

Geometry belongs to branches of mathematics that develop students' visualisation, intuition, critical thinking, problem solving, deductive reasoning, logical argument and proof (Jones, 2002). It provides the basis for the development of spatial sense and plays an important role in acquiring advanced knowledge in science, technology, engineering,…

From random interviews of mathematics teachers, the researchers are conscious that students have difficulties in solving problems regarding compound body volume measurement. The researchers found the main factor involved in the difficulties was incomplete spatial concepts. Augmented reality (AR), which is a kind of educational technology, has been…

According to the National Council of Teacher of Mathematics (NCTM) (2000), K-12 students should be given an opportunity to develop their spatial reasoning abilities. One of the topics that may allow students to develop their spatial skills is forming 3-dimensional objects using spinning and extrusion methods. Also, extrusion and spinning methods…

Many students have difficulties in geometric and spatial thinking (see Pittalis & Christou, 2010). Students who are asked to construct models of geometric thought not previously learnt may be forced into rote learning and only gain temporary or superficial success (Van de Walle & Folk, 2008, p. 431). Therefore it is imperative for…

Increased efforts are needed to meet the demand for high quality mathematics in early years classrooms. Despite the foundational role of geometry and spatial reasoning for later mathematics success, the strand receives inadequate instructional time and is limited to concepts of static geometry. Moreover, early years teachers typically lack both…