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Showing 1 to 15 of 196 results Save | Export
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Glaister, P. – International Journal of Mathematical Education in Science and Technology, 2019
In this note we introduce an infinite series which represents an interesting challenge for students with the relevant background.
Descriptors: Mathematical Formulas, Mathematics, Problem Solving, Fractions
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Dolores-Flores, Crisólogo; Rivera-López, Martha Iris; García-García, Javier – International Journal of Mathematical Education in Science and Technology, 2019
This paper reports the results of a research exploring the mathematical connections of pre-university students while they solving tasks which involving rates of change. We assume mathematical connections as a cognitive process through which a person finds real relationships between two or more ideas, concepts, definitions, theorems, procedures,…
Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Arithmetic
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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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Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour – International Journal of Mathematical Education in Science and Technology, 2018
In this paper, we reconstruct matrices from their minors, and give explicit formulas for the reconstruction of matrices of orders 2 × 3, 2 × 4, 2 × n, 3 × 6 and m × n. We also formulate the Plücker relations, which are the conditions of the existence of a matrix related to its given minors.
Descriptors: Matrices, Algebra, Mathematics Instruction, Mathematical Models
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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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Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2018
Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…
Descriptors: Numbers, Mathematics Instruction, Algebra, Mathematical Formulas
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Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2018
These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.
Descriptors: Geometric Concepts, Geometry, Mathematical Models, Problem Solving
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Herzinger, K.; Kunselman, C.; Pierce, I. – International Journal of Mathematical Education in Science and Technology, 2018
Theon's ladder is an ancient method for easily approximating "n"th roots of a real number "k." Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We extend this work using techniques from linear algebra. We will show that a ladder associated to the quadratic…
Descriptors: Algebra, Mathematics Instruction, Mathematical Formulas, Mathematics
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Park, Jungeun; DiNapoli, Joseph; Mixell, Robert A.; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017
This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…
Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Equations (Mathematics)
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Brandt, Keith – International Journal of Mathematical Education in Science and Technology, 2017
I propose that students pay more attention to the approximations that lead to integral formulas when they study applications of the definite integral. The goal is to focus students on the underlying concepts and the definition of the definite integral--and to steer them away from memorizing formulas. To address this goal, I have written some…
Descriptors: Concept Teaching, Mathematical Formulas, Mathematical Applications, Mathematics Activities
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Abd-Elhameed, W. M.; Zeyada, N. A. – International Journal of Mathematical Education in Science and Technology, 2017
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which…
Descriptors: Generalization, Numbers, Number Concepts, Number Systems
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Orosi, Greg – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, we derive the result of the classical gambler's ruin problem using elementary linear algebra. Moreover, the pedagogical advantage of the derivation is briefly discussed.
Descriptors: Algebra, Problem Solving, Elementary School Mathematics, Probability
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Stupel, Moshe; Oxman, Victor; Sigler, Avi – International Journal of Mathematical Education in Science and Technology, 2017
We present a geometrical investigation of the process of creating an infinite sequence of triangles inscribed in a circle, whose areas, perimeters and lengths of radii of the inscribed circles tend to a limit in a monotonous manner. First, using geometrical software, we investigate four theorems that represent interesting geometrical properties,…
Descriptors: Geometry, Geometric Concepts, Investigations, Mathematical Concepts
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Ramírez, José L.; Rubiano, Gustavo N. – International Journal of Mathematical Education in Science and Technology, 2017
In the present article, we introduce a generalization of the spherical inversion. In particular, we define an inversion with respect to an ellipsoid, and prove several properties of this new transformation. The inversion in an ellipsoid is the generalization of the elliptic inversion to the three-dimensional space. We also study the inverse images…
Descriptors: Generalization, Transformations (Mathematics), Geometric Concepts, Geometry
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Griffiths, Martin; MacHale, Des – International Journal of Mathematical Education in Science and Technology, 2017
We study here an aspect of an infinite set "P" of multivariate polynomials, the elements of which are associated with the arithmetic-geometric-mean inequality. In particular, we show in this article that there exist infinite subsets of probability "P" for which every element may be expressed as a finite sum of squares of real…
Descriptors: Arithmetic, Geometry, Geometric Concepts, Algebra
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