The relationship between mathematics and spatial reasoning is well established and extensively researched. Certain mathematics content could be deemed explicitly spatial, for example within geometry. However, the link to spatial reasoning extends into other areas of mathematics, such as representations of the number line and reading and…

Introducing kindergarten children to the engineering design process (EDP) is an important objective of early STEM education. Studies indicate that children often miss the crucial steps of testing and optimising during the EDP and do not persist in making solutions better. The present study explores how children's goal awareness, self-evaluation…

Mathematical problems can be divided into two types, namely, process-open and process-constrained problems. Solving these two types of problems may require different cognitive mechanisms. However, there has been only one study that investigated the differences of the cognitive abilities in process-open and process-constrained problem solving, and…

In this integrative, team-based capstone project, students in an upper year Tectonics course built a planet of their own design from the basic concepts of plate tectonics. They created a tectonic map complete with plate boundaries, continental-ocean boundaries, motion vectors, and hot spot traces. In subsequent weeks, students produced a geologic…

This study aims to determine the relationship of junior high school students' spatial and mathematical logical intelligence based on understanding the concepts. Spatial intelligence indicators in this study are reviewed from students' abilities in using images as a tool for solving problems, connecting data with concepts that have been held, and…

Today, technology needs to be used effectively in the structuring of learning environments where learners can learn by experimenting and exploring knowledge. Parallel to the adoption of the constructivist approach in the development of teaching programmes in Turkey, individuals should be able to live and practice developing and learning by…

Geometry is one of the topics that students must comprehend in mathematics. However, in reality, the students' ability concerning geometry is relatively low due to their low spatial reasoning ability. The ELPSA framework is one of the solutions to develop students' spatial reasoning abilities. This study aimed to describe students' spatial…

Open math problem solving is critical to help students deepen the understanding and promote transfer of mathematics knowledge. However, the cognitive mechanism for open math problem solving, particularly the role of spatial abilities, has not been paid enough attention. This study recruited 192 junior middle school students (14.30 ± 0.48 years…

Visuospatial thinking is considered crucial for understanding of three-dimensional spatial concepts in STEM disciplines. Despite their importance, little is known about the underlying cognitive processing required to spatially reason and the varied strategies students may employ to solve visuospatial problems. This study seeks to identify and…

We report the design of an analog technology, what we refer to as a SunRule, that uses sunlight to model multiplication. Physical models that explore multiplication are fixtures in elementary mathematics classrooms. Our interest in physical models of multiplication was driven by an overarching design problem: How could a physical tool realize a…

Fostering students' spatial thinking skills holds great promise for improving Science, Technology, Engineering, and Mathematics (STEM) education. Recent efforts have focused on the development of classroom interventions to build students' spatial skills, yet these interventions will be implemented by teachers, and their beliefs and perceptions…

In this article we examine 4th and 5th grade Portuguese students' performance on problems of structuring 2D rectangular arrays of squares, which was analyzed and categorized into the five levels of sophistication described by Battista, Clements, Arnoff, Battista, and Borrow (1998). In general, the results suggest that students in the higher-grade…

Innovations in Science, Technology, Engineering, and Mathematics (STEM) are a cornerstone of the United States' economic prosperity, yet national and international assessments paint a poor picture of students' STEM competencies (reference 1; reference 2). These data have led to transformative approaches to improve STEM education including…

We deal with an application of partial differential equations to the correct definition of a wine cellar. We present some historical details about this problem. We also discuss how to build or renew a wine cellar, creating ideal conditions for the ageing process and improving the quality of wines. Our goal is to calculate the optimal depth…

This study analyzed the relative importance of different cognitive abilities for solving complex mathematical word problems (CWPs)--a demanding task of high relevance for diverse fields and contexts. We investigated the effects of spatial, verbal, numerical, and general reasoning abilities as well as gender on CWP performance among N = 1282…