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Showing 1 to 15 of 218 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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Megalou, Foteini – International Journal of Mathematical Education in Science and Technology, 2019
This paper describes a research project implemented in a course of Real Analysis II. The aim of this project is to analyse students' comprehension of the limiting behaviour of a function from "R"[superscript 2] to "R" at a point "P"[subscript 0] focusing on the formal definitions. Alternative definitions and other…
Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Definitions
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Moreno-Armella, Luis; Brady, Corey; Elizondo-Ramirez, Rubén – International Journal of Mathematical Education in Science and Technology, 2018
This paper explores a deep transformation in mathematical epistemology and its consequences for teaching and learning. With the advent of non-Euclidean geometries, direct, iconic correspondences between physical space and the deductive structures of mathematical inquiry were broken. For non-Euclidean ideas even to become "thinkable" the…
Descriptors: Geometry, Mathematics, Mathematics Instruction, Geometric Concepts
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Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018
In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…
Descriptors: Mathematics, History, College Freshmen, College Science
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Flores, Alfinio; Park, Jungeun – International Journal of Mathematical Education in Science and Technology, 2018
We discuss how mathematics and secondary mathematics education majors developed an understanding of Fermat points for the triangle as well as Steiner points for the square and regular pentagon, and also of soap film configurations between parallel plates where forces are in equilibrium. The activities included the use of soap films and the…
Descriptors: Geometry, Mathematics Instruction, Geometric Concepts, Prediction
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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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Ghergu, Marius – International Journal of Mathematical Education in Science and Technology, 2018
We explore the connection between the notion of critical point for a function of one variable and various inequalities for iterated exponentials defined on the positive semiline of real numbers.
Descriptors: Mathematics, Mathematics Instruction, Mathematical Concepts, Numbers
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2018
This paper is based on the presumption that teaching multiple ways to solve the same problem has academic and social value. In particular, we argue that such a multifaceted approach to pedagogy moves towards an environment of more inclusive and personalized learning. From a mathematics education perspective, our discussion is framed around…
Descriptors: Mathematics Instruction, Calculus, Problem Solving, Case Studies
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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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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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McAlevey, Lynn G.; Stent, Alan F. – International Journal of Mathematical Education in Science and Technology, 2018
The treatment of kurtosis in textbooks is both sparse and contradictory with applications rarely discussed. To address this, an easily understood definition of kurtosis is introduced and important applications are demonstrated. Two different approaches to teaching kurtosis are presented based on a financial application.
Descriptors: Statistical Distributions, Undergraduate Students, Probability, Statistical Data
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Buchbinder, Orly – International Journal of Mathematical Education in Science and Technology, 2018
The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…
Descriptors: Mathematical Logic, Validity, Geometry, Geometric Concepts
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Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018
First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…
Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries
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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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Norqvist, Mathias – International Journal of Mathematical Education in Science and Technology, 2018
Studies in mathematics education often point to the necessity for students to engage in more cognitively demanding activities than just solving tasks by applying given solution methods. Previous studies have shown that students that engage in creative mathematically founded reasoning to construct a solution method, perform significantly better in…
Descriptors: Mathematics Instruction, Problem Solving, Secondary School Students, Secondary School Mathematics
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