Spatial updating based on self-motion cues is important to navigation in the absence of familiar landmarks. Previous studies showed that spatial updating without vision was automatic. The goal of the current study was to investigate whether ambiguous orientations indicated by visual cues affect spatial updating based on self-motion. Participants…

Over the past decade, augmented reality (AR) has gained traction in geometric learning for its pedagogical potential. However, research on how learners engage with different AR technologies and when and how to incorporate them has remained largely unexplored. Employing a learning analytics approach, this study investigates the impact of…

This paper will provide several examples of science and mathematics integration: navigation/map-reading, ecology/ecosystems/population growth, and chemistry/molecular structures. This paper underscores integrating STEM subjects with problem-based learning with technology such as video/computer simulations/programming/coding and the dynamic free…

"Location and Transformation" skills are critical tools for navigating the world and establishing foundational steps for geometric reasoning associated with co-ordinate grids and the Cartesian plane. The contextual nature of using local landmarks to understand students' mental representation of large-scale space has the potential to…

There are mixed results regarding the differentiation of neurofunctional correlates of spatial abilities. Previous studies employed complex environments or alternate memory tasks which could potentially add to inconsistencies across studies of navigation. To help elucidate the existing mixed findings, we conducted a study in a simplistic…

Map reading is unique to humans but is present in people of diverse cultures, at ages as young as 4 years old. Here, we explore the nature and sources of this ability and ask both what geometric information young children use in maps and what nonsymbolic systems are associated with their map-reading performance. Four-year-old children were given…

Research on animals, infants, children, and adults provides evidence that distinct cognitive systems underlie navigation and object recognition. Here we examine whether and how these systems interact when children interpret 2D edge-based perspectival line drawings of scenes and objects. Such drawings serve as symbols early in development, and they…

An influential theory of spatial navigation states that the boundary shape of an environment is preferentially encoded over and above other spatial cues, such that it is impervious to interference from alternative sources of information. We explored this claim with 3 intradimensional--extradimensional shift experiments, designed to examine the…

Navigational and reaching spaces are known to involve different cognitive strategies and brain networks, whose development in humans is still debated. In fact, high-level spatial processing, including allocentric location encoding, is already available to very young children, but navigational strategies are not mature until late childhood. The…

Geometrical concepts are critical to a host of human cognitive achievements, from maps to measurement to mathematics, and both the development of these concepts, and their variation by gender, have long been studied. Most studies of geometrical reasoning, however, present children with materials containing both geometric and non-geometric…

The role of environmental geometry in maintaining spatial orientation was measured in immersive virtual reality using a spatial updating task (requiring maintenance of orientation during locomotion) within rooms varying in rotational symmetry (the number of room orientations providing the same perspective). Spatial updating was equally good in…

Research on navigation has shown that humans and laboratory animals recover their sense of orientation primarily by detecting geometric properties of large-scale surface layouts (e.g. room shape), but the reasons for the primacy of layout geometry have not been clarified. In four experiments, we tested whether 4-year-old children reorient by the…

Two experiments tested whether 4-year-old children extract and use geometric information in simple maps without task instruction or feedback. Children saw maps depicting an arrangement of three containers and were asked to place an object into a container designated on the map. In Experiment 1, one of the three locations on the map and the array…

Several logical methods for dividing circles and time into legitimate metric increments are examined and discussed as being convenient for conducting business, doing mathematics, navigating, and scheduling our daily lives. (MP)

This module, designed for use at the high school level as a four- to eight-hour topic, includes: the geometry of a sphere, the coordinate system used to describe points on the earth's surface, parallel and meridian sailing, and the solution of right spherical triangles. (Author/MK)