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A practical and technological application of calculus problem is posed to motivate freshman students or juniory high school students. A variable coefficient of friction is used in modelling air friction. The case in which the coefficient of friction is a decreasing function of altitude is...
We present the topic of graph connectivity along with a famous theorem of Menger in the real-world setting of the national computer network infrastructure of National LambdaRail . We include a set of exercises where students reinforce their understanding of graph connectivity by analysing the...
Promoting student understanding for transfer is an illusive hallmark of effective mathematics instruction. While much research has shown the necessity of promoting understanding for transfer, less attention has been paid to actual pedagogical strategies that can be used to promote transfer of...
In this article, we consider the mathematics grades of first year students at the National University of Ireland Maynooth and the influence that the Mathematics Support Centre (MSC) has on these grades. We will consider the evidence to suggest that the MSC has a positive effect on the grades of...
The article presents a demonstration of the converse of the Pythagorean Theorem based on the reductio ad absurdum . This is necessary to overcome the discrepancy, noticed by pupils, between the Euclidean purpose to demonstrate that the given triangle is right-angled and the auxiliary figure by...
In this article we consider, via a specific modelling example, the educational benefits to be gained from running mathematical activities with our sixth-form and undergraduate students that, in modern parlance, might be termed ‘rich tasks’. The idea for this modelling activity arose while the...
We consider how the arc length integral of the graph of a function in the plane is connected with the hyperbola and its rational parameterization.
We developed four separate scenarios focusing on the connections between mathematics, biology, and social sciences. This structure facilitated the coordination of faculty from seven academic departments on campus. Each scenario had students from different majors build mathematical models, gather...
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