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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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Mark McCartney – International Journal of Mathematical Education in Science and Technology, 2024
Four variations of the Koch curve are presented. In each case, the similarity dimension, area bounded by the fractal and its initiator, and volume of revolution about the initiator are calculated. A range of classroom exercises are proved to allow students to investigate the fractals further.
Descriptors: Mathematical Concepts, Computation, Equations (Mathematics), Geometric Concepts
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McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2021
An elementary method to calculate the area, centroid and volume of rotation of the Koch curve is presented. Classroom extensions are provided to allow students to investigate the method used.
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Computation
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Rock, J. A. – International Journal of Mathematical Education in Science and Technology, 2022
Every application of integration by parts can be done with a tabular method. The trick is to identify and consider each new integral in the table before deciding how to proceed. This paper supplements a classic introduction to integration by parts with a particular tabular method called Row Integration by Parts (RIP). Approaches to tabular methods…
Descriptors: Calculus, Accounting, Mathematical Formulas, Numbers
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Holton, D. A.; Thomas, M. O. J. – International Journal of Mathematical Education in Science and Technology, 2023
In this paper we follow a hypothetical mathematician who is working on a problem that is eventually solved. We treat this problem as if it were difficult for the mathematician. In following the mathematician's work, we note both what she does and what she doesn't do in the process. By the latter, we consider the times when progress is not being…
Descriptors: Mathematics Education, Professional Personnel, Discovery Learning, Mathematics Skills
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Cereceda, José Luis – International Journal of Mathematical Education in Science and Technology, 2020
In this paper, we first focus on the sum of powers of the first n positive odd integers, T[subscript k](n)=1[superscript k]+3[superscript k]+5[superscript k]+...+(2n-1)[superscript k], and derive in an elementary way a polynomial formula for T[subscript k](n) in terms of a specific type of generalized Stirling numbers. Then we consider the sum of…
Descriptors: Numbers, Arithmetic, Mathematical Formulas, Computation
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Laudano, Francesco – International Journal of Mathematical Education in Science and Technology, 2021
We propose an algorithm that allows calculating the remainder and the quotient of division between polynomials over commutative coefficient rings, without polynomial long division. We use the previous results to determine the quadratic factors of polynomials over commutative coefficient rings and, in particular, to completely factorize in Z[x] any…
Descriptors: Mathematics Instruction, Division, Algebra, Mathematical Logic
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Berezowski, Marek – International Journal of Mathematical Education in Science and Technology, 2021
The article shows that even a small number of iterations give a very large length of the Koch Curve. The overall purpose of this work is to show that even a small number of iterations can give a very complex fractal structure. In this case it is the very big length of Koch's curve. As examples, the distance from the Earth to the Moon and from the…
Descriptors: Mathematics Instruction, Geometric Concepts, Measurement Techniques, Mathematical Formulas
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Nelson, M. I. – International Journal of Mathematical Education in Science and Technology, 2023
In the past, my mathematics students have frequently complained at any suggestion that they should communicate ideas through the medium of a written report. This article discusses student responses when they were asked to write a short report for the mayor of a (hypothetical) small town in response to the mayor's plan to eliminate a contagious…
Descriptors: Mathematics Education, COVID-19, Pandemics, Disease Control
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Nadarajah, Saralees; Chu, Jeffrey; Chan, Stephen – International Journal of Mathematical Education in Science and Technology, 2019
A correlation coefficient taking positive values is introduced. It is more easily understood than other correlation measures especially in social science contexts. Estimation issues are addressed. A data application is given.
Descriptors: Correlation, Mathematics Instruction, Computation, Statistical Analysis
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Cuida, A.; Laudano, F.; Martinez-Moro, E. – International Journal of Mathematical Education in Science and Technology, 2020
We propose some generalizations of the classical Division Algorithm for polynomials over coefficient rings (possibly non-commutative). These results provide a generalization of the Remainder Theorem that allows calculating the remainder without using the long division method, even if the divisor has degree greater than one. As a consequence we…
Descriptors: Division, Computation, Mathematical Concepts, Algebra
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Johansson, B. Tomas – International Journal of Mathematical Education in Science and Technology, 2019
A method based on oblique projection is presented for construction of sundials. The derived formulas are classical, but usage of vectors and projections renders a coherent presentation rather than a number of special cases. The presented work is aimed to be useful for those taking a beginning module on vector algebra.
Descriptors: Mathematics Instruction, Algebra, Computation, Mathematical Formulas
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Glasser, Leslie; Doerfler, Ron – International Journal of Mathematical Education in Science and Technology, 2019
Nomographs (or nomograms, or alignment charts) are graphical representations of mathematical relationships (extending to empirical relationships of data) which are used by simply applying a straightedge across the plot through points on scales representing independent variables, which then crosses the corresponding datum point for the dependent…
Descriptors: Graphs, Mathematical Applications, Visual Aids, Computation
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Laudano, F.; Donatiello, A. – International Journal of Mathematical Education in Science and Technology, 2020
We propose a divisibility criterion for elements of a generic Unique Factorization Domain. As a consequence, we obtain a general divisibility criterion for polynomials over Unique Factorization Domains. The arguments can be used in basic algebra courses and are suitable for building classroom/homework activities for college and high school…
Descriptors: Mathematics Education, Division, Mathematical Concepts, Algebra
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Johansson, B. Tomas – International Journal of Mathematical Education in Science and Technology, 2018
Evaluation of the cosine function is done via a simple Cordic-like algorithm, together with a package for handling arbitrary-precision arithmetic in the computer program Matlab. Approximations to the cosine function having hundreds of correct decimals are presented with a discussion around errors and implementation.
Descriptors: Mathematics, Computation, Mathematical Concepts, Arithmetic
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