Analysis of Text-Based Grammar Teaching Method on the Language Proficiency and Grammar Accuracy of ESL Learners in China

This research paper explores the impact of text-based grammar teaching method on the language proficiency and grammar accuracy of English language learners in China. Two research questions were addressed: Research Question 1: Does text-based grammar teaching method improve language proficiency, in terms of writing, speaking, reading, and listening, of English language learners in China? Research Question 2: Does text-based grammar teaching method improve the grammar accuracy of English language learners in China? Through a mixed research approach, including a survey of 100 respondents, this study provides comprehensive insights into the effectiveness of text-based grammar teaching method. The findings reveal that text-based grammar teaching method significantly enhances language proficiency. Notably, improvements were most pronounced in writing (90%) and reading (93%) skills. While the impact on speaking (73%) and listening (76%) skills showed variability, this study suggests that a more balanced approach, incorporating increased speaking practice and listening activities, may yield more consistent results. Furthermore, the study demonstrates that text-based grammar teaching method has a profound impact on grammar accuracy, with 94% of respondents reporting improvements. This method also facilitates the ease of understanding grammar rules, as indicated by 96% of respondents finding it helpful in grasping grammar rules more easily. In conclusion, this research underscores the potential of text-based grammar teaching method as a valuable tool in language education, particularly for enhancing writing, reading, and grammar accuracy. The study highlights the importance of addressing individual differences and tailoring instruction to improve speaking and listening skills. These findings contribute to a deeper understanding of the role of text-based grammar teaching in language education and provide valuable insights for educators seeking effective pedagogical approaches in diverse learning environments. &nbsp

Comparison of two efficient methods for calculating partition functions

In the long-time pursuit of the solution to calculate the partition function (or free energy) of condensed matter, Monte-Carlo-based nested sampling should be the state-of-the-art method, and very recently, we established a direct integral approach that works at least four orders faster. In present work, the above two methods were applied to solid argon at temperatures up to $300$K, and the derived internal energy and pressure were compared with the molecular dynamics simulation as well as experimental measurements, showing that the calculation precision of our approach is about 10 times higher than that of the nested sampling method.Comment: 6 pages, 4 figure

Comparison of two efficient methods for calculating partition functions

In the long-time pursuit of the solution to calculate the partition function (or free energy) of condensed matter, Monte-Carlo-based nested sampling should be the state-of-the-art method, and very recently, we established a direct integral approach that works at least four orders faster. In present work, the above two methods were applied to solid argon at temperatures up to $300$K, and the derived internal energy and pressure were compared with the molecular dynamics simulation as well as experimental measurements, showing that the calculation precision of our approach is about 10 times higher than that of the nested sampling method.Comment: 6 pages, 4 figure

Fate of non-Fermi liquid behavior in QED3_{3} at finite chemical potential

The damping rate of two-dimensional massless Dirac fermions exhibit non-Fermi liquid behavior, $\propto \epsilon^{1/2}$, due to gauge field at zero temperature and zero chemical potential. We study the fate of this behavior at finite chemical potential. We fist calculate explicitly the temporal and spatial components of vacuum polarization functions. The analytical expressions imply that the temporal component of gauge field develops a static screening length at finite chemical potential while the transverse component remains long-ranged owing to gauge invariance. We then calculate the fermion damping rate and show that the temporal gauge field leads to normal Fermi liquid behavior but the transverse gauge field leads to non-Fermi liquid behavior $\propto \epsilon^{2/3}$ at zero temperature. This energy-dependence is more regular than $\propto \epsilon^{1/2}$ and does not change as chemical potential varies.Comment: 12 pages, 1 figur

Boosting Paired Comparison methodology in measuring visual discomfort of 3DTV: performances of three di erent designs

International audienceThe pair comparison method is often recommended in subjective experiments because of the reliability of the obtained results. However, a drawback of this method is that the number of comparisons increases exponentially with the number of stimuli, which limits its usability for a large number of stimuli. Several design methods that aim to reduce the number of comparisons were proposed in the literature. However, their performances in the context of 3DTV should be evaluated carefully due to the fact that the results obtained from a paired comparison experiment in 3DTV may be in uenced by two important factors. One is the observation error from observer's attentiveness, in particular inverting the vote. The second factor concerns the dependence on the context in which the evaluation takes place. In this study, three design methods, namely Full Paired Comparison method (FPC), Square Design method (SD) and the Adaptive Square Design method (ASD) were evaluated by subjective visual discomfort experiment in 3DTV. The results from the FPC method were considered as the ground truth. Comparing with the ground truth, the ASD method provided the most accurate results with a given number of trials. It also showed the highest robustness against observation errors and interdependence of comparisons. Due to the e ciency of the ASD method, paired comparison experiments become feasible with a reasonably large number of stimuli for measuring 3DTV visual discomfort