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Showing 1 to 15 of 343 results Save | Export
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019
Recently, claims of a 'new and straightforward' method of solution to second-order linear difference equations have appeared in the mathematics education literature from Rivera-Figueroa and Rivera-Rebolledo. The claim of novelty is based on an assumption that 'since the equation is worked in its canonical form', the method within this context must…
Descriptors: Mathematical Concepts, Equations (Mathematics), Problem Solving, Teaching Methods
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Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019
These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.
Descriptors: Geometry, Geometric Concepts, Secondary School Mathematics, High School Students
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019
Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…
Descriptors: Mathematics Instruction, Problem Solving, Equations (Mathematics), Teaching Methods
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More, M. – International Journal of Mathematical Education in Science and Technology, 2018
We bring out an experience of organizing mathematical competitions that can be used as a medium to motivate the student and teacher minds in new directions of thinking. This can contribute to fostering research, innovation and provide a hands-on experience of mathematical concepts with the real world. Mathematical competitions can be used to build…
Descriptors: Mathematics Education, Engineering Education, Mathematical Models, Competition
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Lee, Wha-Suck; Engelbrecht, Johann; Moller, Rita – International Journal of Mathematical Education in Science and Technology, 2018
Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can…
Descriptors: Calculus, Algebra, Geometric Concepts, Mathematics Instruction
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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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Cunningham, Daniel W. – International Journal of Mathematical Education in Science and Technology, 2018
Modern calculus textbooks carefully illustrate how to perform integration by trigonometric substitution. Unfortunately, most of these books do not adequately justify this powerful technique of integration. In this article, we present an accessible proof that establishes the validity of integration by trigonometric substitution. The proof offers…
Descriptors: Mathematics Education, Trigonometry, Calculus, Mathematical Concepts
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de Camargo, André Pierro – International Journal of Mathematical Education in Science and Technology, 2018
In a previous article published in the "American Mathematical Monthly," Tucker ("Amer Math Monthly." 1997; 104(3): 231-240) made severe criticism on the Mean Value Theorem and, unfortunately, the majority of calculus textbooks also do not help to improve its reputation. The standard argument for proving it seems to be applying…
Descriptors: Mathematics Education, Calculus, Mathematical Logic, Equations (Mathematics)
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Pujol, Jose – International Journal of Mathematical Education in Science and Technology, 2018
Given two vectors u and v, their cross product u × v is a vector perpendicular to u and v. The motivation for this property, however, is never addressed. Here we show that the existence of the cross and dot products and the perpendicularity property follow from the concept of linear combination, which does not involve products of vectors. For our…
Descriptors: Mathematics Instruction, Algebra, Geometric Concepts, Problem Solving
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Zeynivandnezhad, Fereshteh; Bates, Rachel – International Journal of Mathematical Education in Science and Technology, 2018
The importance of developing students' mathematical thinking is frequently highlighted in literature regarding the teaching and learning of mathematics. Despite this importance, most curricula and instructional activities for undergraduate mathematics fail to bring the learner beyond the mathematics. The purpose of this study was to enhance…
Descriptors: Mathematics Instruction, Equations (Mathematics), Computer Uses in Education, Educational Technology
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Hyland, Diarmaid; van Kampen, Paul; Nolan, Brien C. – International Journal of Mathematical Education in Science and Technology, 2018
This paper reports on the first part of a multiphase research project that seeks to identify and address the difficulties encountered by physics students when studying differential equations. Differential equations are used extensively by undergraduate physics students, particularly in the advanced modules of their degree. It is, therefore,…
Descriptors: Foreign Countries, Outcomes of Education, Teaching Methods, Equations (Mathematics)
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Gkioulekas, Eleftherios – International Journal of Mathematical Education in Science and Technology, 2018
The standard technique for solving equations with radicals is to square both sides of the equation as many times as necessary to eliminate all radicals. Because the procedure violates logical equivalence, it results in extraneous solutions that do not satisfy the original equation, making it necessary to check all solutions against the original…
Descriptors: Problem Solving, Equations (Mathematics), Mathematical Concepts, Algebra
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Abernethy, Gavin M. – International Journal of Mathematical Education in Science and Technology, 2018
A simple discrete-time two-dimensional dynamical system is constructed and analyzed numerically, with modelling motivations drawn from the zombie virus of popular horror fiction, and with suggestions for further exercises or extensions suitable for an introductory undergraduate course.
Descriptors: Mathematical Models, Mathematics, Equations (Mathematics), Mathematical Concepts
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Sedaghatjou, Mina – International Journal of Mathematical Education in Science and Technology, 2018
This study illustrates how mathematical communication and learning are inherently multimodal and embodied; hence, sight-disabled students are also able to conceptualize visuospatial information and mathematical concepts through tactile and auditory activities. Adapting a perceptuomotor integration approach, the study shows that the lack of access…
Descriptors: Mathematics Instruction, Advanced Courses, Foreign Countries, Visual Impairments
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Boucher, Chris – International Journal of Mathematical Education in Science and Technology, 2018
This note presents a derivation of Viète's classic product approximation of pi that relies on only the Pythagorean Theorem. We also give a simple error bound for the approximation that, while not optimal, still reveals the exponential convergence of the approximation and whose derivation does not require Taylor's Theorem.
Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, Algebra
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