scholarly journals Modelling of real-world problems is often the starting point for proof

Pythagoras ◽  
2004 ◽  
Vol 0 (60) ◽  
Author(s):  
Vimolan Mudaly

In this paper I claim that modelling should be seen as the first stage of the proving process. I discuss an experiment conducted with grade 10 (15 year old) learners in a small suburb in South Africa. There is little emphasis placed on modelling in our schools and it is just beginning to make an appearance in our new Outcomes Based Curriculum. The research shows that as a result of the modelling process learners felt the need to know why the result was true. There is ample evidence that a lot of work on a similar topic has been done elsewhere in the world, but not much has been done in South Africa. The research was conducted using Sketchpad as a mediating tool. This in itself was a difficult task because our learners have not really been exposed to dynamic geometry environments.

2021 ◽  
Vol 13 (10) ◽  
pp. 5491
Author(s):  
Melissa Robson-Williams ◽  
Bruce Small ◽  
Roger Robson-Williams ◽  
Nick Kirk

The socio-environmental challenges the world faces are ‘swamps’: situations that are messy, complex, and uncertain. The aim of this paper is to help disciplinary scientists navigate these swamps. To achieve this, the paper evaluates an integrative framework designed for researching complex real-world problems, the Integration and Implementation Science (i2S) framework. As a pilot study, we examine seven inter and transdisciplinary agri-environmental case studies against the concepts presented in the i2S framework, and we hypothesise that considering concepts in the i2S framework during the planning and delivery of agri-environmental research will increase the usefulness of the research for next users. We found that for the types of complex, real-world research done in the case studies, increasing attention to the i2S dimensions correlated with increased usefulness for the end users. We conclude that using the i2S framework could provide handrails for researchers, to help them navigate the swamps when engaging with the complexity of socio-environmental problems.


Author(s):  
Devin Pierce ◽  
Shulan Lu ◽  
Derek Harter

The past decade has witnessed incredible advances in building highly realistic and richly detailed simulated worlds. We readily endorse the common-sense assumption that people will be better equipped for solving real-world problems if they are trained in near-life, even if virtual, scenarios. The past decade has also witnessed a significant increase in our knowledge of how the human body as both sensor and as effector relates to cognition. Evidence shows that our mental representations of the world are constrained by the bodily states present in our moment-to-moment interactions with the world. The current study investigated whether there are differences in how people enact actions in the simulated as opposed to the real world. The current study developed simple parallel task environments and asked participants to perform actions embedded in a stream of continuous events (e.g., cutting a cucumber). The results showed that participants performed actions at a faster speed and came closer to incurring injury to the fingers in the avatar enacting action environment than in the human enacting action environment.


2020 ◽  
Vol 61 (4) ◽  
pp. 311-327
Author(s):  
Sue Farran

The concept of legal families is familiar to most comparativists and although miscegenation is an increasingly common feature in a global community, arguably an understanding of family origins may help to anticipate differences of approach, ideology, attitudes to law and diverging normative values. Classification into families, despite various criticisms and disagreements as to which families there are or how they should be distinguished, provides a useful tool for the comparativists and those seeking, reform, unification or harmonisation.The Scottish legal system, however, is one that tends to elude classification. Even where “mixed” or “hybrid” legal systems are recognised, that of Scotland may be omitted or distinguished from those of, for example, Greece, South Africa, Israel or the Seychelles.This begs the question, what is a legal system and how is it distinguished? This paper examines the Scottish legal system, taking as its starting point a focus on juristic style as the key distinguishing feature of a legal system and looking at the key elements that eminent comparativists Zweigert and Kötz suggest shape this. These are: the historical background and development; its typical mode of thought; its distinctive institutions; the types of legal sources it acknowledges; and its ideology. Looking particularly at the academic debates that have arisen in Scotland concerning the nature and identity of Scots law, the paper goes on toconsider whether the claim to a distinct legal system is anything more than a manifestation of the fact that “each political society in the world has its own law”,1 and that in fact the time has come to abandon the notion of families.


2020 ◽  
Vol 6 (3) ◽  
pp. 136-155
Author(s):  
Nikita Gupta ◽  
Nishant Bhardwaj ◽  
Gulam Muhammad Khan ◽  
Vivek Dave

Background: Computational fluid dynamics (CFD) came into existence with great success, thereby replacing the traditional methods used to simulate the problems related to the flow of fluid. First CFD utilitarian was introduced to the world in 1957, which was developed by a team at Los Alamos National Lab. For tremendous performance and to meet the expected results with ease for modern process conditions, engineers are now more inclined towards the use of simulation software rather than traditional methods. Hence, in the current scenario with the advancement of computer technologies, “CFD is recognized as an excellent tool for engineers to resolve real-world problems.” Introduction: CFD is defined as a branch of fluid dynamics which involves the use of numerical analysis and data structure to solve complications related to the flow of fluids (gasses or liquids). CFD is based on three major principles that are mass conservation, Newton's second law, and energy conservation. CFD has extended to a number of applications at an alarming rate in every field such as in aerospace, sports, food industry, engineering, hydraulics, HVAC (Heating, Ventilating, and Air conditioning), automotive, environmental, power generation, biomedical, pharmaceutical, and many more. Hence, a number of software like ANSYS, Open Foam, SimScale, Gerris, Auto desk simulation, Code_Saturne, etc, are beneficial in order to execute the operations, and to find the solution of realworld problems within a fraction of seconds. Methods: CFD analysis involves three major steps; pre-processing, solution, and post-processing. Preprocessing deals with defining model goals, identification of domain, designing, and creating the grid. Solution involves setting up the numerical model, computing, and monitoring the solution; whereas, post-processing includes results of the examination and revision of the model. Results: The review includes current challenges about the computational fluid dynamics. It is relevant in different areas of engineering to find answers for the problems occurring globally with the aid of a number of simulation-based software hereby, making the world free from complex problems in order to have a non-complicated scenario. Conclusion: Computational fluid dynamics are relevant in each, and every kind of problem related to the fluid flow, either existing in the human body or anywhere. In the contemporary era, there are enormous numbers of simulation-based software, which provide excellent results with just one click, thereby resolving the problems within microseconds. Hence, we cannot imagine our present and upcoming future without CFD, which has ultimately made the execution of work easier, leaving behind non-complicating scenarios. Lastly, we can conclude that “CFD is a faster, smarter, and lighter way in designing process.”


2020 ◽  
Vol 9 (1) ◽  
pp. 121-139
Author(s):  
Dita Dzata Mirrota ◽  
Desy Nailasari

An authentic assessment is carried out comprehensively to assess the learning inputs, processes and outputs. Authentic assessment must reflect real-world problems, not the world of schools. This study aims to describe the problematics of the implementation of authentic assessment in the subject of the Qur'anic Hadith. This type of research is field research. The results of this study are the implementation of authentic assessment in the subjects of the Qur'an in Hadith in the MTsN Gandusari Blitar: the implementation of authentic assessment in the Blitar Gandsari State MTs requires improvement. Problems with authentic assessment implementation: more instruments and formats, a long time, the assessment process, assessment of attitudes that require accuracy, limited educators, inputs, and considerable costs. The solution given to the problem: conduct MGMP, workshops or guidance on authentic assessment, increase the number of educators, assess according to the provisions, certain parties who give their role, and get used to assess authentically properly and correctly.


2015 ◽  
Vol 109 (2) ◽  
pp. 160
Author(s):  
Michael Todd Edwards ◽  
James Quinlan

Current standards place significant emphasis on transformations in school geometry: “Fundamental are the rigid motions: translations, rotations, reflections, and combinations of these,” and “dynamic geometry environments provide students with experimental and modeling tools that allow them to investigate geometric phenomena” (CCSSI, 2010, p. 74). With these aims in mind, we share a favorite classroom activity—virtual miniature golf. Building on the work of Coxford and Usiskin (1991) and Powell et al. (1994), this activity provides geometry students with a real-world context for exploring reflection and reflection composition in technology-rich settings.


2018 ◽  
Vol 6 (3) ◽  
pp. 44 ◽  
Author(s):  
Robert Sternberg

In this article I suggest why a symposium is desirable on the topic of why, despite worldwide increases in IQ since the beginning of the 20th century, there are so many unresolved and dramatic problems in the world. I briefly discuss what some of these problems are, and the paradox of people with higher IQs not only being unable to solve them, but in some cases people being unwilling to address them. I suggest that higher IQ is not always highly relevant to the problems, and in some cases, may displace other skills that better would apply to the solution of the problems. I present a limited-resource model as an adjunct to the augmented theory of successful intelligence. The model suggests that increasing societal emphases on analytical abilities have displaced development and utilization of other skills, especially creative, practical, and wisdom-based ones, that better could be applied to serious world problems. I also discuss the importance of cognitive inoculation against unscrupulous and sometimes malevolent attempts to change belief systems.


1999 ◽  
Vol 92 (2) ◽  
pp. 118-123
Author(s):  
Thomas G. Edwards ◽  
Kenneth R. Chelst

Because operations researchers solve problems in the real world, operations-research-based problems have rich connections to the world in which students live and work. Drawing on such problem situations is one way in which teachers can let applications of mathematics drive instruction. We believe that doing so will better motivate students to learn the mathematics they encounter in the classroom.


Author(s):  
D. Ajdačić

The absence of a typology of irony in the theory of fiction stems from the fact that irony and fiction differently form and transform reality – fiction is a kind of fictional depiction of amazing worlds or phenomena. On the contrary, irony does not create worlds; in it, the subject comments on reality, adding another vision, a vision with a reassessment and deviation from what is said or presented. Irony can comment on the realities of different ontological status, that is, irony can relate to the real world and the fictional world, whether it is real or amazing. Fantasy transforms the world – it distorts, destroys or completes, or builds new worlds, and irony already adds a different vision to the ideas and views presented, regardless of whether they are real or fictional. The terminological and literary-theoretical aspects of the use of irony in works of literary fiction are discussed in the text. Dragan Stojanović’s book “Irony and Meaning” and the author’s terms “Ironical Focus” and “Meaning Pressure” are used as a theoretical starting point. After highlighting the touchpoints of irony and fiction and their special qualities and roles, is proposed a typology of the use of irony in fiction that separates ironic actions concerning the real world, the marvelous world and problematizing the relationship between the real and the marvelous world.


Real world problems can be analyzed and solved effectively and efficiently by observing the environment and its phenomenon. We can analyze the nature of the problem by looking for a solution in the environment. The evolution of such systematic handling of the problematic scenario to find an amicable and efficient solution can be applied to real world physical problems. Thus the application of procedures (algorithms) by different species has evolved into a novel idea referred as Nature Inspired Algorithms. It has gained wider publicity and popularity in the present research. One of the most popular nature inspired algorithm which has grabbed the attention of the world is Firefly Algorithm (FA).The Firefly Algorithm has a wide range of applicability in different disciplines. We tried to compare this algorithm along with its variants. We also throw some light on various characteristics of the Firefly Algorithm that makes it a far more efficient algorithm when compared to the rest of such similar algorithms


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