Leveraging generative artificial intelligence to simulate student learning behavior

Student simulation presents a transformative approach to enhance learning outcomes, advance educational research, and ultimately shape the future of effective pedagogy. We explore the feasibility of using large language models (LLMs), a remarkable achievement in AI, to simulate student learning behaviors. Unlike conventional machine learning based prediction, we leverage LLMs to instantiate virtual students with specific demographics and uncover intricate correlations among learning experiences, course materials, understanding levels, and engagement. Our objective is not merely to predict learning outcomes but to replicate learning behaviors and patterns of real students. We validate this hypothesis through three experiments. The first experiment, based on a dataset of N = 145, simulates student learning outcomes from demographic data, revealing parallels with actual students concerning various demographic factors. The second experiment (N = 4524) results in increasingly realistic simulated behaviors with more assessment history for virtual students modelling. The third experiment (N = 27), incorporating prior knowledge and course interactions, indicates a strong link between virtual students' learning behaviors and fine-grained mappings from test questions, course materials, engagement and understanding levels. Collectively, these findings deepen our understanding of LLMs and demonstrate its viability for student simulation, empowering more adaptable curricula design to enhance inclusivity and educational effectiveness

Tactile Bodily Gaze Mapping Could Regulate Human Attention

Increasing individuals' awareness of their own body signals can lead to improved interoception, enabling the brain to estimate current body states more accurately and in a timely manner. However, certain body signals, such as eye movements, often go unnoticed by individuals themselves. This study aimed to test the hypothesis that providing eye-movement-correlated tactile feedback on the body enhances individuals' awareness of their attentive states, subsequently improving attention. Our results demonstrate the effectiveness of such feedback in redirecting and enhancing attention, particularly in the presence of distractions during long-duration tasks. Additionally, we observed that people's gaze behaviors changed in response to the tactile feedback, suggesting an increased self-awareness of current eye movements and attentive states. Ultimately, these changes in gaze behaviors contribute to the modulation of attentive states. Our findings highlight the potential of eye-movement-correlated bodily tactile feedback to increase individuals' self-awareness of their eye movements and attentive states. By providing real-time feedback through tactile stimuli, we can actively engage individuals in regulating their attention and enhancing their overall performance.Comment: 6 pages, 3 figure

A Novel Proof based on the method of infinite descent for Fermat’s Last Theorem

Fermat’s Last Theorem is that for each  k >=3  (k is an integer), the equation  involving x, y and z has no positive integer solution. This paper proposed a novel proof for the Fermat’s last theorem by the methods of infinite descent and complex variable analysis

Aqua­(benzamidato-κN)bis­[3,5-difluoro-2-(pyridin-2-yl)phenyl-κC 1]iridium(III) methanol monosolvate

In the title compound, [Ir(C11H6F2N)2(C7H6NO)(H2O)]·CH3OH, the IrIII ion adopts an octa­hedral geometry, and is coordinated by two 3,5-difluoro-2-(pyridin-2-yl)phenyl ligands, one mol­ecule of water and one benzamidate anion. The two 2-(4,6-difluoro­phen­yl)pyridyl ligands are arranged in a cis-C,C′ and trans-N,N′ fashion. Additionally, there is a bystanding methanol mol­ecule outside the coordination sphere of the IrIII ion. In the crystal, mol­ecules of the title compound are linked by O—H⋯O and O—H⋯N hydrogen bonds. One F atom of each ligand is equally disordered over two sites. The C atom of the solvent molecule is likewise disordered over two sites in a 0.589 (11):0.411 (11) ratio

Rock movement due to blasting and its impact on ore grade control in Nevada open pit gold mines

Online access for this thesis was created in part with support from the Institute of Museum and Library Services (IMLS) administered by the Nevada State Library, Archives and Public Records through the Library Services and Technology Act (LSTA). To obtain a high quality image or document please contact the DeLaMare Library at https://unr.libanswers.com/ or call: 775-784-6945.This thesis presents the results of a research project into blast induced rock movement and its impact on ore grade control at the Rain Mine of the Newmont Gold Company and the Coeur Rochester Mine. A total of twelve blasts were monitored between the two mines using additional holes loaded with marker bags and a Quarryman laser profiler to locate the bags and survey the surface rock movement. An average of 4.5-6 .0 feet horizontal movement occurred at the Rain Mine with a powder factor of 0.3-0.4 lb ANFO/ton. An average of I 0-45 feet horizontal rock movement occurred at the Coeur Rochester Mine with a powder factor of0.57-0.76lb Heavy ANFO/ton. This rock movement resulted in a theoretical dilution from three percent up to eighty percent depending on the amount of rock movement and the size of polygon. A method to adjust the pre-blast polygon according to the rock movement is discussed in order to decrease dilution when digging. It is concluded that dilution induced by blasting can be minimized, if the position of a digging polygon is modified as a result of systematic measurements of rock movement

Impact of Opinions and Relationships Coevolving on Self-Organization of Opinion Clusters

In a social network, individual opinions and interpersonal relationships always interact and coevolve. This continuously leads to self-organization of opinion clusters in the whole network. In this article we study how the coevolution on the two kinds of complex networks and the self-organization of opinion clusters are differently affected by the dynamic parameters, the structural parameters and the propagating parameters. It is found that the two dynamic parameters are homogeneous bringing about the strong and weak relations, while the two structural parameters are heterogeneous having equivalent relations. Moreover, the impact of the propagating parameter has been found only above its threshold