Classical Physics is a branch of Physics that should be described by classical notions, which define emergent phenomena. An Emergent Phenomenon is a property that is a result of simple interactions that work cooperati...Classical Physics is a branch of Physics that should be described by classical notions, which define emergent phenomena. An Emergent Phenomenon is a property that is a result of simple interactions that work cooperatively to create a more complex interaction. Physically, simple interactions occur at a microscopic level, and the collective result can be observed at a macroscopic level. The developed Hypersphere World-Universe Model (WUM) introduces classical notions, when the very first ensemble of particles was created at the cosmological time π<sub>M</sub> ≅ 10<sup>-18</sup> and become possible to introduce the notion “Medium of the World”. We emphasize that Classical Physics is principally different from Quantum Physics that describes quantum objects, which have four-momenta only. Classical Physics is dealing with ensembles of quantum objects! The present paper discusses the Basic Notions of Classical Physics considering a principally different cosmological model WUM, which is, in fact, a Paradigm Shift for Cosmology. WUM is a natural continuation of Classical Physics, and it can already serve as a basis for a New Cosmology proposed by Paul Dirac in 1937.展开更多
The China-proposed Global Civilization Initiative has introduced a novel cultural-coexistence framework transcending notions of conflict like the"clash of civilizations"that too often shapes Western diplomacy.
Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications ...Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications of the theory of instruction based on“Formalizing Introductory Notions(FIN)”(Nagle,2013),in which a theory incorporating new pedagogical approaches was introduced to describe static notions of limit,without ignoring dynamic notions of limit,are presented to help foster an informal limit conception better aligned with the formal definition.A qualitative discourse analysis based on students’utterances,including students’drawing pictures on graphs,was done.In the results of the investigation,it was found that the students’utterances drawings on a graph of the secants(segments)used static notions of limit supported by dynamic notions of limit according to the operating activities.There were learning activities in which students developed a notion of limit as the proximity of the predicted tangent line of a function.Consequently,students’discussions changed focus to the validation of limit candidates with static notions of limit.To overcome the contradiction of their explanations of the operating activities with dynamic notions of limit,the students changed to an explanation with static notions of limit.In light of the findings,this study suggests adapting the pedagogical approach used by the Nagle(2013).展开更多
In summer 2021, veteran sprinte Su Bingtian, endearingly dubbed the "flying man" by fans, set a new Asian record at 9.83 seconds in the men’s 100-meter dash during the Tokyo Olympics semifinals, making him ...In summer 2021, veteran sprinte Su Bingtian, endearingly dubbed the "flying man" by fans, set a new Asian record at 9.83 seconds in the men’s 100-meter dash during the Tokyo Olympics semifinals, making him the firs Chinese athlete to qualify for the event’s final. Following his achievement, some people in China hailed Su as YYDS, acro nym for yongyuan di shen.展开更多
Current SLA theories have delivered important language-learning notions. This paper will report the results of a study into 64 high school English teachers' beliefs about language learning and their instructional pra...Current SLA theories have delivered important language-learning notions. This paper will report the results of a study into 64 high school English teachers' beliefs about language learning and their instructional practices, with a focus on two of them. A questionnaire was developed on the basis of major tenets of second language learning and administered to the 64 participants. In addition, classroom observations and interviews were employed to explore the two focal teachers' beliefs and their actual classroom instruction practices. Results show both consistencies and inconsistencies between the participants' beliefs and major SLA notions and between the two focal participants' beliefs and their classroom practices.展开更多
It is proved that the upper subderivative of a lower semicontinuous function on a Banach space is upper semicontinuous for the first variable as x′→f x, i. e., x′-x, f(x′)-f(x). By taking account of the work of Tr...It is proved that the upper subderivative of a lower semicontinuous function on a Banach space is upper semicontinuous for the first variable as x′→f x, i. e., x′-x, f(x′)-f(x). By taking account of the work of Treiman. it is further shown that the upper subderivative of a 1. s. c. function is the upper limit of the contingent directtional derivatives around the concorned point. This new characterization of the upper suoberivative allows simple derivations and natural extension of many results' in nonsmooth analysis.展开更多
文摘Classical Physics is a branch of Physics that should be described by classical notions, which define emergent phenomena. An Emergent Phenomenon is a property that is a result of simple interactions that work cooperatively to create a more complex interaction. Physically, simple interactions occur at a microscopic level, and the collective result can be observed at a macroscopic level. The developed Hypersphere World-Universe Model (WUM) introduces classical notions, when the very first ensemble of particles was created at the cosmological time π<sub>M</sub> ≅ 10<sup>-18</sup> and become possible to introduce the notion “Medium of the World”. We emphasize that Classical Physics is principally different from Quantum Physics that describes quantum objects, which have four-momenta only. Classical Physics is dealing with ensembles of quantum objects! The present paper discusses the Basic Notions of Classical Physics considering a principally different cosmological model WUM, which is, in fact, a Paradigm Shift for Cosmology. WUM is a natural continuation of Classical Physics, and it can already serve as a basis for a New Cosmology proposed by Paul Dirac in 1937.
文摘The China-proposed Global Civilization Initiative has introduced a novel cultural-coexistence framework transcending notions of conflict like the"clash of civilizations"that too often shapes Western diplomacy.
文摘Mathematical teaching and learning of an introductory calculus conception of limit in secondary school before students learn the formal definition of limit in higher education are discussed.In this study,applications of the theory of instruction based on“Formalizing Introductory Notions(FIN)”(Nagle,2013),in which a theory incorporating new pedagogical approaches was introduced to describe static notions of limit,without ignoring dynamic notions of limit,are presented to help foster an informal limit conception better aligned with the formal definition.A qualitative discourse analysis based on students’utterances,including students’drawing pictures on graphs,was done.In the results of the investigation,it was found that the students’utterances drawings on a graph of the secants(segments)used static notions of limit supported by dynamic notions of limit according to the operating activities.There were learning activities in which students developed a notion of limit as the proximity of the predicted tangent line of a function.Consequently,students’discussions changed focus to the validation of limit candidates with static notions of limit.To overcome the contradiction of their explanations of the operating activities with dynamic notions of limit,the students changed to an explanation with static notions of limit.In light of the findings,this study suggests adapting the pedagogical approach used by the Nagle(2013).
文摘In summer 2021, veteran sprinte Su Bingtian, endearingly dubbed the "flying man" by fans, set a new Asian record at 9.83 seconds in the men’s 100-meter dash during the Tokyo Olympics semifinals, making him the firs Chinese athlete to qualify for the event’s final. Following his achievement, some people in China hailed Su as YYDS, acro nym for yongyuan di shen.
文摘Current SLA theories have delivered important language-learning notions. This paper will report the results of a study into 64 high school English teachers' beliefs about language learning and their instructional practices, with a focus on two of them. A questionnaire was developed on the basis of major tenets of second language learning and administered to the 64 participants. In addition, classroom observations and interviews were employed to explore the two focal teachers' beliefs and their actual classroom instruction practices. Results show both consistencies and inconsistencies between the participants' beliefs and major SLA notions and between the two focal participants' beliefs and their classroom practices.
文摘It is proved that the upper subderivative of a lower semicontinuous function on a Banach space is upper semicontinuous for the first variable as x′→f x, i. e., x′-x, f(x′)-f(x). By taking account of the work of Treiman. it is further shown that the upper subderivative of a 1. s. c. function is the upper limit of the contingent directtional derivatives around the concorned point. This new characterization of the upper suoberivative allows simple derivations and natural extension of many results' in nonsmooth analysis.