Understanding the Effect of Individual Differences on Second Language Acquisition: Focusing on Personality

In this world, the most obvious difference between people is the difference in appearance. In its simplest aspect, we know that everyone in this world is unique. Definitely, in the aspect of learning, the learning outcome of each student is different. Even based on the same age, same subject, same teacher, same gender, the results of learning are different. This makes it necessary to study individual differences in learning. As a second language teacher, it is necessary to study the impact of individual differences on second language acquisition. This field project mainly discusses the effect of individual differences on second language acquisition focusing on the personality factor. The problem is most second language teachers were not trained in relevant knowledge of educational psychology before they became the certificated teacher. Second language teachers can instinctively know that every student’s learning behavior is different, but they don’t have the basic theoretical knowledge to rely on. In this case, the purpose of this project is to provide the basic information of educational psychology to second language teachers. To be a bridge between second language teachers and educational psychology and help them to learn another interdisciplinary knowledge for becoming a better teacher

Field theory for mechanical criticality in disordered fiber networks

Strain-controlled criticality governs the elasticity of jamming and fiber networks. While the upper critical dimension of jamming is believed to be $d_u$=2, non mean-field exponents are observed in numerical studies of 2D and 3D fiber networks. The origins of this remains unclear. In this study we propose a minimal mean-field model for strain-controlled criticality of fiber networks. We then extend this to a phenomenological field theory, in which non mean-field behavior emerges as a result of the disorder in the network structure. We predict that the upper critical dimension for such systems is $d_u$=4 using a Gaussian approximation. Moreover, we identify an order parameter for the phase transition, which has been lacking for fiber networks to date

Effective Medium Theory for Mechanical Phase Transitions of Fiber Networks

Networks of stiff fibers govern the elasticity of biological structures such as the extracellular matrix of collagen. These networks are known to stiffen nonlinearly under shear or extensional strain. Recently, it has been shown that such stiffening is governed by a strain-controlled athermal but critical phase transition, from a floppy phase below the critical strain to a rigid phase above the critical strain. While this phase transition has been extensively studied numerically and experimentally, a complete analytical theory for this transition remains elusive. Here, we present an effective medium theory (EMT) for this mechanical phase transition of fiber networks. We extend a previous EMT appropriate for linear elasticity to incorporate nonlinear effects via an anharmonic Hamiltonian. The mean-field predictions of this theory, including the critical exponents, scaling relations and non-affine fluctuations qualitatively agree with previous experimental and numerical results