With the reform of the New National College Entrance Examination(Gaokao),the nongraded education will become an inevitable trend.In senior high school,the traditional test-oriented education is popular.The knowledge i...With the reform of the New National College Entrance Examination(Gaokao),the nongraded education will become an inevitable trend.In senior high school,the traditional test-oriented education is popular.The knowledge is mainly taught by the teachers,and the students passively absorb it.This study examines a problem-oriented Socratic experiment in nongraded English teaching in senior high school.The teachers seek output from students,who respond by interpreting questions,fostering critical thinking,and enhancing problem-solving skills.This teaching experiment indicates that the Socratic method has a significant positive effect on cultivating nongraded senior high English students’critical thinking under the New National College Entrance Examination.展开更多
Block introduced certain analogues of the Zassenhaus algebras over a field of characteristic 0. The nongraded infinite-dimensional simple Lie algebras of Block type constructed by Xu can be viewed as generalizations o...Block introduced certain analogues of the Zassenhaus algebras over a field of characteristic 0. The nongraded infinite-dimensional simple Lie algebras of Block type constructed by Xu can be viewed as generalizations of the Block algebras. In this paper, we construct a family of irreducible modules in terms of multiplication and differentiation operators on ＂polynomials＂ for four-devivation nongraded Lie algebras of Block type based on the finite-dimensional irreducible weight modules with multiplicity one of general linear Lie algebras. We also find a new series of submodules from which some irreducible quotient modules are obtained.展开更多
基金This research is funded by 2021 Postgraduate Scientific Research Innovation Project of Hunan Province Key Project—Diagnosis and Evaluation of High School Students’Critical Thinking Quality in English(Project approval No.QL20210120)the 2022 Hunan Province General Higher Education Teaching Reform Research Project—Research on the Cultivation Path of English Learners’Critical Thinking Ability From the Perspective of Curriculum Ideology and Politics(Project Approval No.HNJG-2022-1299).
文摘With the reform of the New National College Entrance Examination(Gaokao),the nongraded education will become an inevitable trend.In senior high school,the traditional test-oriented education is popular.The knowledge is mainly taught by the teachers,and the students passively absorb it.This study examines a problem-oriented Socratic experiment in nongraded English teaching in senior high school.The teachers seek output from students,who respond by interpreting questions,fostering critical thinking,and enhancing problem-solving skills.This teaching experiment indicates that the Socratic method has a significant positive effect on cultivating nongraded senior high English students’critical thinking under the New National College Entrance Examination.
基金Supported by National Natural Science Foundation of China (Grant No. 10701002)
文摘Block introduced certain analogues of the Zassenhaus algebras over a field of characteristic 0. The nongraded infinite-dimensional simple Lie algebras of Block type constructed by Xu can be viewed as generalizations of the Block algebras. In this paper, we construct a family of irreducible modules in terms of multiplication and differentiation operators on ＂polynomials＂ for four-devivation nongraded Lie algebras of Block type based on the finite-dimensional irreducible weight modules with multiplicity one of general linear Lie algebras. We also find a new series of submodules from which some irreducible quotient modules are obtained.
