• Title/Summary/Keyword: mathematical physics

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Mathematical Preparedness Predicts College Grades in Physics Better than Physics Preparedness: the Predictive Validity of the Mathematical Diagnostic Test on the Freshmen's Physics Grades (물리보다 수학을 잘 해야 물리를 잘 한다: 입학 전 수학진단점수의 일반물리학 성취도 예측타당성 검증)

  • Shin, Yunkyoung;Park, Kyuyeol;Lee, Ah-reum;Jung, Jongwon
    • Journal of Engineering Education Research
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    • v.22 no.4
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    • pp.22-31
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    • 2019
  • This study aims to elucidate the relationship between physics and mathematics to predict achievement for the college level of engineering courses. For the last 4 years, more than 3,000 engineering college freshmen of this study took the diagnostic tests on three subjects, which were physics, mathematics, and chemistry before enrollment. We studied how strongly these diagnostic scores can predict each general college course grades. The correlation between the physics diagnostic scores and the course grades in physics was .264, which was significantly lower than the correlation between the mathematics scores and the physics grades, .311. This stronger prediction of the mathematical diagnostic scores for the general course grades was not found when predicting the grades in chemistry. We therefore conclude that mathematical preparation can unexpectedly predict future achievement in physics better than physics preparation due to the academic interrelationships between mathematics and physics.

Arguments from Physics in Mathematical Proofs : the Center of Gravity of a Triangle (수학적 증명에서의 물리적 논증 : 삼각형의 무게중심)

  • Kim, Seong-A
    • Journal of Science Education
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    • v.34 no.1
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    • pp.175-184
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    • 2010
  • We agree with Hanna and Jahnke's assertion on the use of arguments from physics in mathematical proofs and analyze their educational example of the use of arguments from physics in the proof of the center of gravity of a triangle. Moreover, we suggest practical models for the center of gravity of a triangle for the demonstration in a classroom. Comparing with the traditional mathematical arguments, the role of concepts and models from physics in arguments from physics will be clearly pointed out. Also, the necessity for arguments from physics in the classroom will be discussed in this paper.

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SOME REMARKS ON COAASSOCIATED PRIMES

  • Divaani-Aazar, K.;Tousi, M.
    • Journal of the Korean Mathematical Society
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    • v.36 no.5
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    • pp.847-853
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    • 1999
  • The purpose of this paper is to develop the theory of coassociated primes and to investigate Melkersson's question [8].

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High School Mathematical Education of Future Physicists

  • Dvorkin, Mikhail;Ryzhik, Valery
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.237-247
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    • 2010
  • Concordance of high school courses of mathematics and physics is a long-known and still-unsolved problem, at least in Russia. Lyceum "Physical-Technical High School" exists for more than 20 years and endeavors to solve this problem. During this work, Lyceum teachers worked out certain ideology of educational content as well as methods of teaching specific topics. Textbooks and workbooks have been written for the Lyceum students by the Lyceum teachers (or in collaboration with them). This article reports on the cumulate experience of the Lyceum in mathematical education of future physicists.

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High School Mathematical Education of Future Physicists

  • Dvorkin, Mikhail;Ryzhik, Valery
    • Research in Mathematical Education
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    • v.14 no.1
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    • pp.67-77
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    • 2010
  • Concordance of high school courses of mathematics and physics is a long-known and still-unsolved problem, at least in Russia. Lyceum "Physical-Technical High School" exists for more than 20 years and endeavors to solve this problem. During this work, Lyceum teachers worked out certain ideology of educational content as well as methods of teaching specific topics. Textbooks and workbooks have been written for the Lyceum students by the Lyceum teachers (or in collaboration with them). This article reports on the cumulate experience of the Lyceum in mathematical education of future physicists.

GOLDEN PARA-CONTACT METRIC MANIFOLDS

  • Beldjilali, Gherici;Bouzir, Habib
    • Communications of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.1209-1219
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    • 2022
  • The purpose of the present paper is to introduce a new class of almost para-contact metric manifolds namely, Golden para-contact metric manifolds. Then, we are particularly interested in a more special type called Golden para-Sasakian manifolds, where we will study their fundamental properties and we present many examples which justify their study.

C12-SPACE FORMS

  • Gherici Beldjilali;Nour Oubbiche
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.629-641
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    • 2023
  • The aim of this paper is two-fold. First, we study the Chinea-Gonzalez class C12 of almost contact metric manifolds and we discuss some fundamental properties. We show there is a one-to-one correspondence between C12 and Kählerian structures. Secondly, we give some basic results for Riemannian curvature tensor of C12-manifolds and then establish equivalent relations among 𝜑-sectional curvature. Concrete examples are given.