Spatial visualization--the ability to mentally imagine and manipulate objects--has frequently been measured using the Paper Folding Test (PFT). In this task, participants view diagrams of a paper being folded and a hole being punched. They then identify the resulting punch pattern. Although task instructions promote mentally unfolding the paper,…

Background: Key to optimizing Computational Thinking (CT) instruction is a precise understanding of the underlying cognitive skills. Román-González et al. (2017) reported unique contributions of spatial abilities and reasoning, whereas arithmetic was not significantly related to CT. Disentangling the influence of spatial and numerical skills on CT…

We tested a method for solving Bayesian reasoning problems in terms of spatial relations as opposed to mathematical equations. Participants completed Bayesian problems in which they were given a prior probability and two conditional probabilities and were asked to report the posterior odds. After a pretraining phase in which participants completed…

In this article, the authors emphasise the importance of purposeful mathematical discussion and using sequences of connected, cumulative, and challenging tasks in advancing students' spatial reasoning in the early years of schooling.

We explored the potential of a robotics application in education as a measurement tool of child executive functioning skills. Sixty-five kindergarteners received assignments to go through a maze with a programmable robot, the Bee-Bot. Via observation we quantified how they solved these tasks. Their performance was successfully aggregated into a…

With an increase in the focus on STEM education (Rosen-O'Leary & Thompson, 2019) and jobs in the technology and digital realm, the need for integrating arts that emphasize creative, innovative, and divergent thinking with other school disciplines becomes essential (Land, 2013). This interdisciplinary approach, STEAM (STEM + Arts), requires…

The literature on the association between reading comprehension and mathematics skills is complicated and conflicting. This study seeks to illuminate the nature of the association between mathematics skills and reading comprehension by incorporating potential moderators, namely components of mathematics skills, domains of content standards in…

In this paper, the development of the MAR (mobile augmented reality) remedial teaching program is described. It allowed students to manipulate augmented objects through AURASMA app via internet and find leads to solve geometry problems regarding compound-cube-surface area. In order to foster students' spatial abilities, the program provided…

Spatial inscriptions of information--visualizations--can be a great asset to problem solving. Calendars and Cartesian graphs are two examples of visualizations that reorganize non-spatial information (temporal and quantitative) into a visual format. People readily rely on these visualizations to plan and see patterns, which intuitively attests to…

The purpose of this study was to explore geometry spatial mathematical reasoning in Grade nine Annual National Assessments, South Africa. Conceptual Blending was the guiding theory. Document analysis within the exploratory case study was used to explore available data, the 2014 Annual National Assessment learners' scripts (n=1250). Results…

The last 15 years have witnessed a quiet revolution in the understanding of spatial skills, and the authors are finding that these all-important science, technology, engineering, and math (STEM) competencies are rooted in spatial knowledge. Spatial skills are the tools use to visualize and navigate the world. Spatial skills allows people to…

Spatial skills have been consistently linked to mathematics achievement in older students and adults, but we know little about their relationship to mathematics achievement in elementary school. This study examined how spatial skills influenced the development of number sense, and subsequent mathematics competency, as students progressed from the…

Schematic chunks denote patterns, schemes, or sophisticated rules and knowledge stored in the long-term memory in the form of chunks. We investigated whether schematic chunking is effective in improving the performance of students with math difficulties (MD) and students at risk of math failure, and how the complexity level of geometry problems…

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 +…

This paper examines the context for developing computational thinking (CT), computational participation (CP), and spatial reasoning among predominantly Black elementary students in grades 5 and 6, who attended a public school in the urban fringe of a large city in the Eastern United States. A case study is presented as the method to examine two…