Reflections: A Lesson in Related Rates

1996 ◽  
Vol 89 (5) ◽  
pp. 390-393
Author(s):  
Joe D. Nichols
Keyword(s):  
Problem Solving ◽  
Advanced Placement ◽  
Real World ◽  
Basic Concept ◽  
First Year ◽  
General Application ◽  
The Real ◽  
Calculus Students ◽  
Real World Applications

My objective in teaching an Advanced Placement calculus course is not only to help students pass the AP examination each spring but also to help them develop insights into advanced problem solving and real-world applications. I continually search for examples in my students' daily environment that can help them make a tangible connection from the classroom textbook to the real world. In this article, I discuss a general application of a basic concept with which all first-year-calculus students must contend: the problem of related rates.

Alice in the Real World

2012 ◽  
Vol 17 (7) ◽  
pp. 410-416 ◽  
Author(s):  
Tom Parker
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Mathematical Problem ◽  
Computer Application ◽  
Mathematical Problem Solving ◽  
The Real ◽  
Programming Knowledge

A computer application promotes programming knowledge and allows students to create their own worlds through mathematical problem solving.

Folktales and Civil Rights

2014 ◽  
Author(s):  
Michael Suk-Young Chwe
Keyword(s):  
African American ◽  
Civil Rights ◽  
Civil Rights Movement ◽  
Real World ◽  
Strategic Thinking ◽  
The Real ◽  
Real World Applications ◽  
The 1960S ◽  
Brer Rabbit

This chapter examines African American folktales that teach the importance of strategic thinking and argues that they informed the tactics of the 1960s civil rights movement. It analyzes a number of stories where characters who do not think strategically are mocked and punished by events while revered figures skillfully anticipate others' future actions. It starts with the tale of a new slave who asks his master why he does nothing while the slave has to work all the time, even as he demonstrates his own strategic understanding. It then considers the tale of Brer Rabbit and the Tar Baby, along with “Malitis,” which tackles the problem of how the slaves could keep the meat and eat it openly. These and other folktales teach how inferiors can exploit the cluelessness of status-obsessed superiors, a strategy that can come in handy. The chapter also discusses the real-world applications of these folktales' insights.

scholarly journals On properties of cyberattacks and their nuances

2017 ◽  
Vol 1 (2) ◽  
pp. 76-90 ◽  
Author(s):  
Jassim Happa ◽  
Michael Goldsmith
Keyword(s):  
Real World ◽  
Design Methodology ◽  
Resource Constraints ◽  
Security Analysts ◽  
Content Type ◽  
The Real ◽  
Potential Value ◽  
Real World Applications ◽  
The Future ◽  
Attack Models

Purpose Several attack models attempt to describe behaviours of attacks with the intent to understand and combat them better. However, all models are to some degree incomplete. They may lack insight about minor variations about attacks that are observed in the real world (but are not described in the model). This may lead to similar attacks being classified as the same type of attack, or in some cases the same instance of attack. The appropriate solution would be to modify the model or replace it entirely. However, doing so may be undesirable as the model may work well for most cases or time and resource constraints may factor in as well. This paper aims to explore the potential value of adding information about attacks and attackers to existing models. Design/methodology/approach This paper investigates used cases of minor variations in attacks and how it may and may not be appropriate to communicate subtle differences in existing attack models through the use of annotations. In particular, the authors investigate commonalities across a range of existing models and identify where and how annotations may be helpful. Findings The authors propose that nuances (of attack properties) can be appended as annotations to existing attack models. Using annotations appropriately should enable analysts and researchers to express subtle but important variations in attacks that may not fit the model currently being used. Research limitations/implications This work only demonstrated a few simple, generic examples. In the future, the authors intend to investigate how this annotation approach can be extended further. Particularly, they intend to explore how annotations can be created computationally; the authors wish to obtain feedback from security analysts through interviews, identify where potential biases may arise and identify other real-world applications. Originality/value The value of this paper is that the authors demonstrate how annotations may help analysts communicate and ask better questions during identification of unknown aspects of attacks faster,e.g. as a means of storing mental notes in a structured manner, especially while facing zero-day attacks when information is incomplete.

Language Activities That Promote Awareness of Mathematics

1988 ◽  
Vol 36 (4) ◽  
pp. 6-9
Author(s):  
James S. Cangelosi
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Real World ◽  
Real Life ◽  
National Council ◽  
Life Meaning ◽  
The Real ◽  
Education Literature ◽  
Teaching Of Mathematics ◽  
Primary Focus

Developing students' abilities to rcason with mathematics and apply mathematics to the solution of problems occurring in the real world hould be a primary focus of school mathematics (National Council of Teachers of Mathematics 1980). However, most mathemati cal curricula seem to place more emphasis on memorization of fact and algorithm than on reasoning and problem solving (Romberg and Carpenter 1986). The mathematics education literature abound with ideas for reversing the emphasis on memorization and for guiding the teaching of mathematics so that it has real-life meaning for children. Included among the idea are the following:

Reflections on repetition, abstraction and transformation

2019 ◽  
Vol 17 (1) ◽  
pp. 49-55
Author(s):  
Julia Heurling
Keyword(s):  
Problem Solving ◽  
Real World ◽  
Cognitive Process ◽  
New World ◽  
Abstract Thinking ◽  
Thought Process ◽  
Artistic Practice ◽  
The Real ◽  
Transformation Problem ◽  
Major Transformation

Abstract According to Encyclopaedia Britannica, abstraction refers to the cognitive process of isolating, or 'abstracting', a common feature or relationship observed in a number of things, or the product of such a process. New World Encyclopaedia describe abstraction in philosophical terminology as the thought process wherein ideas are distanced from objects. Abstraction uses a strategy of simplification that ignores formerly concrete details or leaves them ambiguous, vague or undefined. Abstract thinking, as opposed to concrete thinking, has no application in 'the real world' unless adapted to certain circumstances. For this reason, abstract thinking can be regarded as limited in capacity to affect change. Yet, abstract thinking can be seen as a basis for major transformation. Problem solving often involves combining abstract and concrete reasoning. This article will reflect on how abstract thinking can be seen as a basis for transformation. Drawing from examples from my own artistic practice, I will look at how repetition, as a means of abstract thinking, can be seen as a tool for bridging and repositioning perspectives.

Heterogeneous Computing and The Real-World Applications

2021 ◽  
Author(s):  
Viet Bui ◽  
Trung Pham ◽  
Huy Nguyen ◽  
Hoang Nhi Tran Gia ◽  
Tauheed Khan Mohd
Keyword(s):  
Real World ◽  
Heterogeneous Computing ◽  
The Real ◽  
Real World Applications
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