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The quality of mathematical explanation videos: a quantitative cross-topic analysis
Mathematical explanation videos have become tremendously popular due to their easy accessibility through online platforms like YouTube. However, little is known about their quality from a mathematics education point of view. This study addresses this gap
Daniel Thurm
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Results for area differentiations and potential differentiations are related to concepts in cosmology, and to magic(n). The shapes of a sphere and other geometries will be discussed for 3 and higher dimensions and the Poincare conjecture is interpreted ...
Lena J-T Strömberg
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Reaching back to advance forward: towards a 21st century approach to learning and teaching fractions
Besides their usefulness in practical, everyday activities, understanding fractions and operations on fractions underpins the development of proportional reasoning and is critical for learning higher mathematics such as algebra, probability, and calculus
Arthur Belford Powell
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We present a study on the conceptions of Italian prospective mathematics and physics teachers with respect to modelling activities. Common ground for both the mathematician and the physicist, these activities are a relevant aspect of the Graduate School ...
Claudio Fazio, Filippo Spagnolo
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Uncertainty in medical diagnosis is the main challenge in medical emergencies (MEs) experienced by triage nurses and physicians in the emergency department (ED).
Paul Augustine Ejegwa +5 more
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When learning in a digital interactive mathematics learning environment (DIMLE) designed to foster the development of specific mathematics content, students come to express their ideas through different languages and representations.
Anna E. Baccaglini-Frank+3 more
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Dialogue Types, Argumentation Schemes, and Mathematical Practice: Douglas Walton and Mathematics
Douglas Walton's multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (
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Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite-Difference Scheme
We discuss the numerical solution of nonlinear parabolic partial differential equations, exhibiting finite speed of propagation, via a strongly implicit finite-difference scheme with formal truncation error $\mathcal{O}\left[(\Delta x)^2 + (\Delta t)^2 ...
A Oron+71 more
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The effects of technology on making conjectures: linking multiple representations in learning iterations [PDF]
Numerous studies have suggested that different technologies have different effects on students' learning of mathematics, particularly in facilitating students' graphing skills and preferences for representations.
Aczel, James+2 more
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A class of third order singularly perturbed convection diffusion type equations with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented.
Velusamy Raja, Ayyadurai Tamilselvan
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