Algebra: Real-Life Investigations in a Lab Setting

1997 ◽  
Vol 2 (4) ◽  
pp. 220-224
Author(s):  
Leah P. McCoy

How will we make algebra accessible to all students? In the past, we have taught algebra as an abstract course involving manipulation of variables and numbers, which are symbolic representations. We have neglected to make a strong connection between the symbolic algebra and the underlying concrete relationships. Given the messages of the NCTM's Standards documents (1989, 1991), it is apparent that students need concrete experiences that enable them to experience algebra in the real world. In this manner, they will be able to construct an understanding of the concepts and connect the concrete with the abstract and their internal ideas.

2020 ◽  
Vol 16 (4) ◽  
pp. 291-300
Author(s):  
Zhenyu Gao ◽  
Yixing Li ◽  
Zhengxin Wang

AbstractThe recently concluded 2019 World Swimming Championships was another major swimming competition that witnessed some great progresses achieved by human athletes in many events. However, some world records created 10 years ago back in the era of high-tech swimsuits remained untouched. With the advancements in technical skills and training methods in the past decade, the inability to break those world records is a strong indication that records with the swimsuit bonus cannot reflect the real progressions achieved by human athletes in history. Many swimming professionals and enthusiasts are eager to know a measure of the real world records had the high-tech swimsuits never been allowed. This paper attempts to restore the real world records in Men’s swimming without high-tech swimsuits by integrating various advanced methods in probabilistic modeling and optimization. Through the modeling and separation of swimsuit bias, natural improvement, and athletes’ intrinsic performance, the result of this paper provides the optimal estimates and the 95% confidence intervals for the real world records. The proposed methodology can also be applied to a variety of similar studies with multi-factor considerations.


1976 ◽  
Vol 50 (4) ◽  
pp. 503-513 ◽  
Author(s):  
Robert Craig West

Students of the origins and accomplishments of government regulation of economic activity have open suspected that the laws on which regulation is based were addressed to problems and conditions of the past that no longer prevailed, or — what is worse — assumptions about the “real world” that are highly unrealistic. This is Professor West's main conclusion about the Federal Reserve Act of 1913, especially as regards its discount rate and international exchange policies.


2021 ◽  
pp. 254-267
Author(s):  
John Royce

Good readers evaluate as they go along, open to triggers and alarms which warn that something is not quite right, or that something has not been understood. Evaluation is a vital component of information literacy, a keystone for reading with understanding. It is also a complex, complicated process. Failure to evaluate well may prove expensive. The nature and amount of information on the Internet make evaluation skills ever more necessary. Looking at research studies in reading and in evaluation, real-life problems are suggested for teaching, modelling and discussion, to bring greater awareness to good, and to less good, readers.


2018 ◽  
Author(s):  
Uri Korisky ◽  
Rony Hirschhorn ◽  
Liad Mudrik

Notice: a peer-reviewed version of this preprint has been published in Behavior Research Methods and is available freely at http://link.springer.com/article/10.3758/s13428-018-1162-0Continuous Flash Suppression (CFS) is a popular method for suppressing visual stimuli from awareness for relatively long periods. Thus far, it has only been used for suppressing two-dimensional images presented on-screen. We present a novel variant of CFS, termed ‘real-life CFS’, with which the actual immediate surroundings of an observer – including three-dimensional, real life objects – can be rendered unconscious. Real-life CFS uses augmented reality goggles to present subjects with CFS masks to their dominant eye, leaving their non-dominant eye exposed to the real world. In three experiments we demonstrate that real objects can indeed be suppressed from awareness using real-life CFS, and that duration suppression is comparable that obtained using the classic, on-screen CFS. We further provide an example for an experimental code, which can be modified for future studies using ‘real-life CFS’. This opens the gate for new questions in the study of consciousness and its functions.


Author(s):  
Abouzid Houda ◽  
Chakkor Otman

Blind source separation is a very known problem which refers to finding the original sources without the aid of information about the nature of the sources and the mixing process, to solve this kind of problem having only the mixtures, it is almost impossible , that why using some assumptions is needed in somehow according to the differents situations existing in the real world, for exemple, in laboratory condition, most of tested algorithms works very fine and having good performence because the  nature and the number of the input signals are almost known apriori and then the mixing process is well determined for the separation operation.  But in fact, the real-life scenario is much more different and of course the problem is becoming much more complicated due to the the fact of having the most of the parameters of the linear equation are unknown. In this paper, we present a novel method based on Gaussianity and Sparsity for signal separation algorithms where independent component analysis will be used. The Sparsity as a preprocessing step, then, as a final step, the Gaussianity based source separation block has been used to estimate the original sources. To validate our proposed method, the FPICA algorithm based on BSS technique has been used.


2021 ◽  
Vol 59 (2) ◽  
pp. 66-80
Author(s):  
Catherine Belling

Abstract The ambivalent attraction of feeling horror might explain some paradoxes regarding the consumption of representations of atrocities committed in the real world, in the past, on actual other people. How do horror fictions work in the transmission or exploitation of historical trauma? How might they function as prosthetic memories, at once disturbing and informative to readers who might otherwise not be exposed to those histories at all? What are the ethical implications of horror elicited by fictional representations of historical suffering? This article engages these questions through the reading of Mo Hayder’s 2004 novel The Devil of Nanking. Hayder exploits horror’s appeal and also—by foregrounding the acts of representation, reading, and spectatorship that generate this response—opens that process to critique. The novel may productively be understood as a work of posttraumatic fiction, both containing and exposing the concentric layers of our representational engagement with records of past atrocity. Through such a reading, a spherical rather than linear topology emerges for history itself, a structure of haunted and embodied consumption.


2018 ◽  
Vol 10 (3) ◽  
Author(s):  
Mark Richard Johnson ◽  
Robert Mejia

In this paper, we argue that EVE Online is a fruitful site for exploring how the representational and political-economic elements of science fiction intersect to exert a sociocultural and political-economic force on the shape and nature of the future-present. EVE has been oft heralded for its economic and sociocultural complexity, and for employing a free market ethos and ethics in its game world. However, we by contrast seek not to consider how EVE reflects our contemporary world, but rather how our contemporary neoliberal milieu reflects EVE. We explore how EVE works to make its world of neoliberal markets and borderline anarcho-capitalism manifest through the political economic and sociocultural assemblages mobilized beyond the game. We explore the deep intertwining of  behaviors of players both within and outside of the game, demonstrating that EVE promotes neoliberal  activity in its players, encourages these behaviors outside the game, and that players who have found success in the real world of neoliberal capitalism are those best-positioned for success in the time-demanding and resource-demanding world of EVE. This thereby sets up a reciprocal ideological determination between the real and virtual worlds of EVE players, whereby each reinforces the other. We lastly consider the “Alliance Tournament” event, which romanticizes conflict and competition, and argue that it serves as a crucial site for deploying a further set of similar rhetorical resources. The paper therefore offers an understanding of the sociocultural and political-economic pressure exerted on the “physical” world by the intersection of EVE’s representational and material elements, and what these show us about the real-world ideological power of science fictional worlds.


1971 ◽  
Vol 18 (5) ◽  
pp. 320-321
Author(s):  
Charles Brumfiel

In the November 1970 issue of the Arithmetic Teacher there appeared my article, “Mathematical Systems and Their Relationship to the Real World.” One point I made is that mathematics provides us with a vast array of symbols and concepts to use in solving real-life problems. When we use mathematics to solve a real problem, we make certa in mental associations between mathematical symbols and real objects. I suggested that arguments sometimes arise because two persons may make different associations, mathematical symbols to real objects, and each thinks his associations are correct while the other person's are incorrect.


1988 ◽  
Vol 36 (4) ◽  
pp. 6-9
Author(s):  
James S. Cangelosi

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:


1992 ◽  
Vol 85 (4) ◽  
pp. 310-313
Author(s):  
Jonita Sommers

“Why do I have to do this math? This is not something I need to know. I will not use it when I get out of school!” exclaimed Jesse and some of his classmates. Have you ever heard these comments? In the past, my students were learning the concepts, hut they were not associating the importance of mathematics and its uses in the real world. This year, I have tried to show the students in my eighth-grade mathematics class how mathematics will apply to their lives, whether they work on a ranch, work in the oil fields, or get a higher education after high school.


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