Spatial ability has been an area of research for decades. Distinct correlations have been discovered regarding research into spatial ability and Science, Technology, Engineering, and Mathematics disciplines (STEM). However, spatial ability is a term that can be confusing to practitioners. For this purpose, spatial ability, a measure of an individual's capability to exercise a specific construct of spatial thinking, will be defined explicitly in this paper. Spatial ability has been positively correlated to success in the professional engineering world as well as within engineering coursework. In view of this correlational evidence, an argument forms for the academy to develop a more refined understanding of the improvement in spatial ability and underlying impacting mechanisms of spatial thinking within undergraduate engineering courses. This paper presents preliminary research into spatial ability's correlation to performance in an engineering Statics course. Statics is a fertile engineering course to research as it is a gateway course where students often determine if they will persevere in engineering. It is the first class in the Engineering Mechanics Series and is required by most mechanical, civil, environmental, biological, and aerospace engineering programs.Results indicate that spatial ability does improve significantly in a Statics course for both sexes. Data was collected using two spatial instruments, the Mental Cutting Test and the Purdue Spatial Visualization Test: Visualization of Rotations, and a demographic survey. A pre-and post-test design was used for both tests where tests where given in the first week and in the final week of the course. A series of paired t-tests are used to statistically analyze for improvement and the potential correlation between the spatial pre-and post-tests demographic variables. Additionally, the study was replicated in an Anatomy class to address potential risks to the study. Results indicate that spatial ability of the students in the Anatomy class does not significantly improve. Further research is suggested in looking into the demographic factors of each study including previous and concurrent course experience.

Her multiple roles as an engineer, engineering educator, engineering educational researcher, and professional development mentor for underrepresented populations has aided her in the design and integration of educational and physiological technologies to research 'best practices' for student professional development and training. In addition, she is developing methodologies around hidden curriculum, academic emotions and physiology, and engineering makerspaces.

Spatial intelligence is often linked to success in engineering education and engineering professions. The use of electroencephalography enables comparative calculation of individuals' neural efficiency as they perform successive tasks requiring spatial ability to derive solutions. Neural efficiency here is defined as having less beta activation, and therefore expending fewer neural resources, to perform a task in comparison to other groups or other tasks. For inter-task comparisons of tasks with similar durations, these measurements may enable a comparison of task type difficulty. For intra-participant and inter-participant comparisons, these measurements provide potential insight into the participant's level of spatial ability and different engineering problem solving tasks. Performance on the selected tasks can be analyzed and correlated with beta activities. This work presents a detailed research protocol studying the neural efficiency of students engaged in the solving of typical spatial ability and Statics problems. Students completed problems specific to the Mental Cutting Test (MCT), Purdue Spatial Visualization test of Rotations (PSVT:R), and Statics. While engaged in solving these problems, participants' brain waves were measured with EEG allowing data to be collected regarding alpha and beta brain wave activation and use. The work looks to correlate functional performance on pure spatial tasks with spatially intensive engineering tasks to identify the pathways to successful performance in engineering and the resulting improvements in engineering education that may follow.

We set out some general criteria to prove the K-property, refining the assumptions used in [5] for the flow case, and introducing the analogous discrete-time result. We also introduce one-sided λ-decompositions, as well as multiple techniques for checking the pressure gap required to show the Kproperty. We apply our results to the family of Mañé diffeomorphisms and the Katok map. Our argument builds on the orbit decomposition theory of Climenhaga and Thompson.

In order to assist students, gain conceptual understanding of internal forces, a physical manipulative of a truss was developed in order to help students visualize, feel, and analyze the behavior of the material being manipulated. The purpose of this qualitative study was to understand how a physical manipulative of a truss contributed to the conceptual understanding of truss analysis in statics. In this study, six students were presented with a simple problem of a truss, where no measurements or numerical quantities were provided, and asked to determine which members where in tension or compression. Subsequently, the participants were given a model of a physical manipulative resembling the same problem they were given before and asked the same questions. Preliminary qualitative results indicated that physical manipulative helped students visualize concepts taught in the classroom and provided a venue to gain conceptual understanding of internal forces.