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Benedetto, Elmo; Iovane, Gerardo – International Journal of Mathematical Education in Science and Technology, 2022
This paper has a pedagogical aim. Indeed, by using the relativistic velocity-addition and Einstein's equivalence principle (EEP), we want to analyse in a simple way the physics of time on a rotating non-inertial frame. We use a didactic approach considering four friends. The first is in the laboratory, the second at rest on the disk at radius r,…
Descriptors: Physics, Time, Motion, Scientific Principles
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Fay, Temple H. – International Journal of Mathematical Education in Science and Technology, 2012
Viscous damping is commonly discussed in beginning differential equations and physics texts but dry friction or Coulomb friction is not despite dry friction being encountered in many physical applications. One reason for avoiding this topic is that the equations involve a jump discontinuity in the damping term. In this article, we adopt an energy…
Descriptors: Advanced Courses, Equations (Mathematics), Calculus, Mechanics (Physics)
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Sokolowski, Andrzej – International Journal of Mathematical Education in Science and Technology, 2014
Research has shown that students have difficulties with understanding the process of determining whether an object is speeding up or slowing down, especially when it is applied to the analysis of motion in the negative direction. As inductively organized learning through its scaffolding sequencing supports the process of knowledge acquisition…
Descriptors: Mathematics Instruction, Calculus, Motion, Inquiry
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Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2012
This article deals with a brief biographical sketch of Joseph Fourier, his first celebrated work on analytical theory of heat, his first great discovery of Fourier series and Fourier transforms. Included is a historical development of Fourier series and Fourier transforms with their properties, importance and applications. Special emphasis is made…
Descriptors: Physics, Equations (Mathematics), Foreign Countries, Probability
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Altiparmak, Kemal – International Journal of Mathematical Education in Science and Technology, 2014
In mathematic courses, construction of some concepts by the students in a meaningful way may be complicated. In such circumstances, to embody the concepts application of the required technologies may reinforce learning process. Onset of learning process over daily life events of the student's environment may lure their attention and may…
Descriptors: Animation, Cognitive Processes, Mathematics Instruction, Experimental Groups
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Knight, D. G. – International Journal of Mathematical Education in Science and Technology, 2004
If the point of suspension of a multiple pendulum is suitably oscillated then the pendulum can remain in motion in an upside-down position. Since such pendulums can model flexible materials, this inverted motion is sometimes referred to as an 'Indian rope trick'. Despite the complexity of the governing differential equations, this rope trick can…
Descriptors: Motion, Algebra, Mathematical Formulas, Computation