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Pedagogy of Mathematics 数学教育学
Pub Date : 2023-10-30 DOI: 10.35940/ijbsac.b1159.1010223
Suhail Bashir
This paper delves into the realm of mathematics pedagogy, exploring various facets of teaching and learning mathematics. Through the analysis of the modified Fennema-Sherman Attitude Scales and an in-depth examination of best practices, this paper aims to shed light on the attitudes of students toward mathematics and provide recommendations for improving mathematics education. The paper emphasizes the importance of cultivating a growth mindset, promoting diversity and inclusion, and incorporating active learning strategies in mathematics instruction. It highlights the significance of continuous professional development for educators and support systems for students facing challenges in mathematics. As we conclude this internship, it is clear that mathematics education is not static but a dynamic field that demands collaboration and a commitment to excellence. This paper serves as a compass for future endeavors, guiding the way toward a mathematics pedagogy that empowers learners and transforms perceptions of mathematics.
本文深入探讨了数学教育学领域,探讨了数学教与学的各个方面。本文旨在通过对改进后的Fennema-Sherman态度量表的分析和对最佳实践的深入研究,揭示学生对数学的态度,并为改进数学教育提供建议。本文强调了在数学教学中培养成长型思维、促进多样性和包容性以及将主动学习策略纳入数学教学的重要性。它强调了教育工作者持续专业发展的重要性,以及为面临数学挑战的学生提供支持系统的重要性。当我们总结这次实习时,很明显,数学教育不是静态的,而是一个需要合作和追求卓越的动态领域。本文作为未来努力的指南针,指导数学教学法的方向,赋予学习者权力,改变数学的观念。
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引用次数: 5
Influence of Soils Conditions on the Macroseismic Effects in the Dukagjin Area Based the Seismic Wave Propagation from Durres Earthquake 26/11/2019 基于Durres地震地震波传播的Dukagjin地区土壤条件对宏观地震效应的影响
Pub Date : 2023-10-30 DOI: 10.35940/ijbsac.b0508.1010223
Shemsi Mustafa, Arbresha Mustafa
Kosovo represents a region with relatively high seismic activity, it has been hit in the past and may be hit in the future by very strong indigenous earthquakes. Geographically, Kosovo is in the contact zone of two large tectonic plates, on one side of Africa that pushes the Euro-Asian and lies at its foundation. For these reasons, the countries in theMediterranean area belong to countries with high seismic risk, including the surrounding areas. The strongest earthquake recorded and documented in Kosovo is the earthquake of 1921, in the Viti-Ferizaj-Gjilan area with a magnitude of 6.1 on the Richter scale and an intensity of 8.5 on the Mercalli scale. During the recent geological period the region has been embraced from the neotectonic processes which have conditioned the formation of many structural units that are expressed by intensive uplifting and sinking movements. Are used macroseismic data to investigate the influence of local geological structure on earthquake intensities in Dukagjin area of Kosovo. The occurrence of earthquakes is connected with the geological and neotectonics characteristics of the individual regions. The territory of Kosovo is composed of rocks of Precambrian to Quaternary age. In addition soft sediments in the Kosovo basins have a strong influence on seismic ground motion. Macroseismic data are used to investigate Response of Soil class of Dukagjini basin with deposits of Oligocene, Pliocene and Quaternary, where the lake sediments continue during its Pleistocene, (epicenter distance 140 km, Durrës Earthquake 26/11/2019), which had shown, systematic Intensity increase.
科索沃是一个地震活动相对频繁的地区,过去曾发生过强烈的本土地震,将来也可能会发生。从地理上看,科索沃位于两大构造板块的接触区,位于推动欧亚大陆的非洲一侧,并位于其基础上。由于这些原因,地中海地区的国家,包括其周边地区,都属于地震高发国家。科索沃有记录的最强地震是1921年发生在维蒂-费里扎伊-吉兰地区的地震,震级为里氏6.1级,梅尔卡利震级为8.5级。在最近的地质时期,该地区已经从新构造过程中分离出来,新构造过程决定了许多构造单元的形成,这些构造单元表现为剧烈的隆升和下沉运动。利用大地震资料研究了科索沃Dukagjin地区局部地质构造对地震烈度的影响。地震的发生与个别地区的地质和新构造特征有关。科索沃的领土由前寒武纪到第四纪的岩石组成。此外,科索沃盆地的软沉积物对地震地面运动有很强的影响。利用宏观地震资料研究了Dukagjini盆地的渐新世、上新世和第四纪沉积物的响应,该盆地更新世湖泊沉积物持续存在(震中距离140 km, Durrës 26/11/2019地震),其强度呈系统增强。
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引用次数: 0
Transformation of Special Relativity into Differential Equation by Means of Power Series Method 用幂级数法将狭义相对论转化为微分方程
Pub Date : 2023-09-30 DOI: 10.35940/ijbsac.b1045.0910123
Chandra Bahadur Khadka
Partial differential equations such as those involving Bessel differential function, Hermite’s polynomial, and Legendre polynomial are widely used during the separation of the wave equation in cylindrical and spherical coordinates. Such functions are quite applicable to solve the wide variety of physical problems in mathematical physics and quantum mechanics, but until now, there has been no differential equation capable for handling the problems involved in the realm of special relativity. In order to avert such trouble in physics, this article presents a new kind of differential equation of the form: , where c is the speed of light in a vacuum. In this work, the solution of this equation has been developed via the power series method, which generates a formula that is completely compatible with relativistic phenomena happening in nature. In this highly exciting topic, the particular purpose of this paper is to define entirely a new differential equation to handle physical problems happening in the realm of special relativity.
在柱面坐标与球坐标的波动方程分离中,广泛地使用了包括贝塞尔微分函数、埃尔米特多项式和勒让德多项式在内的偏微分方程。这些函数非常适用于解决数学物理和量子力学中各种各样的物理问题,但是直到现在,还没有能够处理狭义相对论领域中涉及的问题的微分方程。为了避免物理学中的这种麻烦,本文提出了一种新的微分方程,其形式为,其中c为真空中的光速。在这项工作中,通过幂级数方法推导了该方程的解,生成了一个与自然界中发生的相对论现象完全相容的公式。在这个非常令人兴奋的话题中,本文的特殊目的是定义一个全新的微分方程来处理在狭义相对论领域中发生的物理问题。
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引用次数: 1
Extension of Maxwell’s Equations for Determination of Relativistic Electric and Magnetic Field 麦克斯韦方程在确定相对论电场和磁场中的推广
Pub Date : 2023-09-30 DOI: 10.35940/ijbsac.b1044.0910123
Chandra Bahadur Khadka
This paper presents the transformation of four Maxwell’s equation into relativistic electromagnetism via the partial differential equation of electric and magnetic field with respect to spatial and temporal coordinates. The relativistic form of magnetic field is developed based on Gauss’s law for magnetism and Ampere’s law while the relativistic form of electric field is developed based on Gauss’s law for electricity and Faraday’s law, where and are rest magnetic and electric field. We can easily explain theoretically about the various properties of electromagnetic waves (EM waves) with help of this relativistic formula such as; 1) Why EM waves are not deflected by electric and magnetic field as they have both oscillating electric and magnetic field? ;2) why can’t light travel faster than the speed of light? In this highly interesting topic, the particular purpose is not to enter into the merits of existing theory of relativistic electromagnetism, but rather to present a succinct and carefully reasoned account of new aspect of Maxwell’s equation which properly describe the relativistic nature of magnetic and electric Field.
本文利用电场和磁场在时空坐标系下的偏微分方程,将四个麦克斯韦方程转化为相对论电磁学。磁场的相对论形式是根据高斯磁定律和安培定律发展起来的,电场的相对论形式是根据高斯电定律和法拉第定律发展起来的,其中和分别是磁场和电场。借助相对论公式,我们可以很容易地从理论上解释电磁波(电磁波)的各种性质,例如;1)电磁波同时具有振荡的电场和磁场,为什么电磁波不受电场和磁场的偏转?2)为什么光的速度不能超过光速?在这个非常有趣的话题中,特别的目的不是进入现有的相对论电磁学理论的优点,而是对麦克斯韦方程的新方面提出一个简洁而仔细的解释,它正确地描述了磁场和电场的相对论性质。
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引用次数: 1
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International journal of basic sciences & applied computing
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