This paper chiefly examines the attitudes of second language learners,specifically,Chinese postgraduate students studying in the UK,towards code-switching between English and Mandarin in group discussion in L2 classro...This paper chiefly examines the attitudes of second language learners,specifically,Chinese postgraduate students studying in the UK,towards code-switching between English and Mandarin in group discussion in L2 classroom.Questionnaire is implemented as the data collection method and yields some corresponding findings based on research questions.Meanwhile,recent research on code-switching in classroom is introduced briefly.Moreover,limitations and pedagogical implication of the original research mentioned above are elaborated,as well as the implied future research is presented in this area.展开更多
The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and ana...The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and analyzed superconvergence of the conforming finite element method by L2-projections. The goal of this paper is to perform numerical experiments using MATLAB to support and to verify the theoretical results in Wang for the superconvergence of the conforming finite element method (CFEM) for the second order elliptic problems by L2-projection methods. MATLAB codes are published at https://github.com/annaleeharris/Superconvergence-CFEM for anyone to use and to study.展开更多
The superconvergence in the finite element method is a phenomenon in which the fi-nite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and an...The superconvergence in the finite element method is a phenomenon in which the fi-nite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and analyzed superconvergence of the conforming finite element method by L2-projections. However, since the conforming finite element method (CFEM) requires a strong continuity, it is not easy to construct such finite elements for the complex partial differential equations. Thus, the nonconforming finite element method (NCFEM) is more appealing computationally due to better stability and flexibility properties compared to CFEM. The objective of this paper is to establish a general superconvergence result for the nonconforming finite element approximations for second-order elliptic problems by L2-projection methods by applying the idea presented in Wang. MATLAB codes are published at https://github.com/annaleeharris/Superconvergence-NCFEM for anyone to use and to study. The results of numerical experiments show great promise for the robustness, reliability, flexibility and accuracy of superconvergence in NCFEM by L2- projections.展开更多
This qualitative study aims at exploring the influence of L2 learners' willingness to communicate(WTC) on second language communication. The participants involved in this study were 7 beginners learning Mandarin i...This qualitative study aims at exploring the influence of L2 learners' willingness to communicate(WTC) on second language communication. The participants involved in this study were 7 beginners learning Mandarin in a Chinese university whose native languages were totally different. Multiple sources of data were collected, including classroom observations, semistructured interviews and stimulated recalls. The results indicate that the students with higher level of WTC were more fluent in L2 Chinese communication, and the student whose native language or second language is Russian performed better in Chinese communication.展开更多
This thesis attempts to find out the the learner's L2 attitudinal and motivational changes through the time of learning.This thesis employs qualitative approach to analyze the data collected from the interview. Ba...This thesis attempts to find out the the learner's L2 attitudinal and motivational changes through the time of learning.This thesis employs qualitative approach to analyze the data collected from the interview. Based on the analyses, it shows that L2learner's motivation does not stay relatively stable but rather evolutes over time.展开更多
文摘This paper chiefly examines the attitudes of second language learners,specifically,Chinese postgraduate students studying in the UK,towards code-switching between English and Mandarin in group discussion in L2 classroom.Questionnaire is implemented as the data collection method and yields some corresponding findings based on research questions.Meanwhile,recent research on code-switching in classroom is introduced briefly.Moreover,limitations and pedagogical implication of the original research mentioned above are elaborated,as well as the implied future research is presented in this area.
文摘The superconvergence in the finite element method is a phenomenon in which the finite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and analyzed superconvergence of the conforming finite element method by L2-projections. The goal of this paper is to perform numerical experiments using MATLAB to support and to verify the theoretical results in Wang for the superconvergence of the conforming finite element method (CFEM) for the second order elliptic problems by L2-projection methods. MATLAB codes are published at https://github.com/annaleeharris/Superconvergence-CFEM for anyone to use and to study.
文摘The superconvergence in the finite element method is a phenomenon in which the fi-nite element approximation converges to the exact solution at a rate higher than the optimal order error estimate. Wang proposed and analyzed superconvergence of the conforming finite element method by L2-projections. However, since the conforming finite element method (CFEM) requires a strong continuity, it is not easy to construct such finite elements for the complex partial differential equations. Thus, the nonconforming finite element method (NCFEM) is more appealing computationally due to better stability and flexibility properties compared to CFEM. The objective of this paper is to establish a general superconvergence result for the nonconforming finite element approximations for second-order elliptic problems by L2-projection methods by applying the idea presented in Wang. MATLAB codes are published at https://github.com/annaleeharris/Superconvergence-NCFEM for anyone to use and to study. The results of numerical experiments show great promise for the robustness, reliability, flexibility and accuracy of superconvergence in NCFEM by L2- projections.
文摘This qualitative study aims at exploring the influence of L2 learners' willingness to communicate(WTC) on second language communication. The participants involved in this study were 7 beginners learning Mandarin in a Chinese university whose native languages were totally different. Multiple sources of data were collected, including classroom observations, semistructured interviews and stimulated recalls. The results indicate that the students with higher level of WTC were more fluent in L2 Chinese communication, and the student whose native language or second language is Russian performed better in Chinese communication.
文摘This thesis attempts to find out the the learner's L2 attitudinal and motivational changes through the time of learning.This thesis employs qualitative approach to analyze the data collected from the interview. Based on the analyses, it shows that L2learner's motivation does not stay relatively stable but rather evolutes over time.
