Search results for: philosophy of mathematics

Authors: Narupot Putwattana

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Changes in global situation such as environmental and economic crisis brought the new perspective for science education called integrative biology. STEM has been increasingly mentioned for several educational researches as the approach which combines the concept in Science (S), Technology (T), Engineering (E) and Mathematics (M) to apply in teaching and learning process so as to strengthen the 21st-century skills such as creativity and critical thinking. Recent studies demonstrated STEM as the pedagogy which described the engineering process along with the science classroom activities. So far, pedagogical contents for STEM explaining the content in biology have been scarce. A qualitative literature review was conducted so as to gather the articles based on electronic databases (google scholar). STEM education, engineering design, teaching and learning of biology were used as main keywords to find out researches involving with the application of STEM in biology teaching and learning process. All articles were analyzed to obtain appropriate teaching and learning model that unify the core concept of biology. The synthesized model comprised of engineering design, inquiry-based learning, biological prototype and biologically-inspired design (BID). STEM content and context integration were used as the theoretical framework to create the integrative biology instructional model for STEM education. Several disciplines contents such as biology, engineering, and technology were regarded for inquiry-based learning to build biological prototype. Direct and indirect integrations were used to provide the knowledge into the biology related STEM strategy. Meanwhile, engineering design and BID showed the occupational context for engineer and biologist. Technological and mathematical aspects were required to be inspected in terms of co-teaching method. Lastly, other variables such as critical thinking and problem-solving skills should be more considered in the further researches.

Keywords: biomimicry, engineering approach, STEM education, teaching and learning model

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Authors: Paolo Scolari

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Nietzschean thought flows like a current throughout Marcel’s philosophy. Marcel is in constant dialogue with him. He wants to give homage to him, making him one of the most eminent representatives of existential thought. His enthusiasm is triggered by Nietzsche’s phrase: ‘God is dead,’ the fil rouge that ties all of the Nietzschean references scattered through marcelian texts. The death of God is the theme which emphasises both the greatness and simultaneously the tragedy of Nietzsche. Marcel wants to substitute the idea ‘God is dead’ with its original meaning: a tragic existential characteristic that imitators of Nietzsche seemed to have blurred. An interpretation that Marcel achieves aiming at double target. On the one hand he removes the heavy metaphysical suit from Nietzsche’s aphorisms on the death of God, that his interpreters have made them wear – Heidegger especially. On the other hand, he removes a stratus of trivialisation which takes the aphorisms out of context and transforms them into advertising slogans – here Sartre becomes the target. In the lecture: Nietzsche: l'homme devant la mort de dieu, Marcel hurls himself against the metaphysical Heidegger interpretation of the death of God. A hermeneutical proposal definitely original, but also a bit too abstract. An interpretation without bite, that does not grasp the tragic existential weight of the original Nietzschean idea. ‘We are probably on the wrong road,’ announces, ‘when at all costs, like Heidegger, we want to make a metaphysic out of Nietzsche.’ Marcel also criticizes Sartre. He lands in Geneva and reacts to the journalists, by saying: ‘Gentlemen, God is dead’. Marcel only needs this impromptu exclamation to understand how Sartre misinterprets the meaning of the death of God. Sartre mistakes and loses the existential sense of this idea in favour of the sensational and trivialisation of it. Marcel then wipes the slate clean from these two limited interpretations of the declaration of the death of God. This is much more than a metaphysical quarrel and not at all comparable to any advertising slogan. Behind the cry ‘God is dead’ there is the existence of an anguished man who experiences in his solitude the actual death of God. A man who has killed God with his own hands, haunted by the chill that from now on he will have to live in a completely different way. The death of God, however, is not the end. Marcel spots a new beginning at the point in which nihilism is overcome and the Übermensch is born. Dialoguing with Nietzsche he notices to being in the presence of a great spirit that has contributed to the renewal of a spiritual horizon. He descends to the most profound depths of his thought, aware that the way out is really far below, in the remotest areas of existence. The ambivalence of Nietzsche does not scare him. Rather such a thought, characterised by contradiction, will simultaneously be infinitely dangerous and infinitely healthy.

Keywords: Nietzsche's Death of God, Gabriel Marcel, Heidegger, Sartre

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Authors: Kara Rosenblatt, Kevin Badgett, James Eldridge

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There is a preponderance of information regarding the overall effectiveness of charter schools and their ability to increase academic achievement compared to traditional district schools. Most research on the topic is focused on comparing long and short-term outcomes, academic achievement in mathematics and reading, and locale (i.e., urban, v. Rural). While the lingering unanswered questions regarding effectiveness continue to loom for school leaders, data on charter schools suggests that enrollment increases by 10% annually and that charter schools educate more than 2 million U.S. students across 40 states each year. Given the increasing share of U.S. students educated in charter schools, it is important to better understand possible differences in student achievement defined in multiple ways for students in charter schools and for those in Independent School District (ISD) settings in the state of Texas. Data were retrieved from the Texas Education Agency’s (TEA) repository that includes data organized annually and available on the TEA website. Specific data points and definitions of achievement were based on characterizations of achievement found in the relevant literature. Specific data points include but were not limited to graduation rate, student performance on standardized testing, and teacher-related factors such as experience and longevity in the district. Initial findings indicate some similarities with the current literature on long-term student achievement in English/Language Arts; however, the findings differ substantially from other recent research related to long-term student achievement in social studies. There are a number of interesting findings also related to differences between achievement for students in charters and ISDs and within different types of charter schools in Texas. In addition to findings, implications for leadership in different settings will be explored.

Keywords: charter schools, ISDs, student achievement, implications for PK-12 school leadership

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Authors: Peter Hajnal

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The need to combine serious training in disciplinary/scholarly approaches to problems of general significance with an educational experience that engages students with these very same problems on a personal level is one of the key challenges facing modern liberal education in the West. The typical approach to synthesizing these two goals, one highly abstract, the other elusively practical, proceeds by invoking ideals traditionally associated with Enlightenment and 19th century “humanism”. These ideas are in turn rooted in an approach to reality codified by Cartesianism and the rise of modern science. Articulating this connection of the modern humanist tradition with Cartesianism allows for demonstrating how the central problem of modern liberal education is rooted in the strict separation of knowledge and personal experience inherent in the dualism of Descartes. The question about the shape of contemporary liberal education is, therefore, the same as asking whether an anti-Cartesian version of liberal education is possible at all. Although the formulation of a general answer to this question is a tall order (whether in abstract or practical terms), and might take different forms (nota bene in Eastern and Western contexts), a key inspiration may be provided by a certain shift of attitude towards the Cartesian conception of the relationship of knowledge and experience required by discussion based close-reading of works of visual art. Taking the work of Stanley Cavell as its central inspiration, my paper argues that this shift of attitude in question is best described as a form of “second naïveté”, and that it provides a useful model of conceptualizing in more concrete terms the appeal for such a “second naïveté” expressed in recent writings on the role of various disciplines in organizing learning by philosophers of such diverse backgrounds and interests as Hilary Putnam and Bruno Latour. The adoption of naïveté so identified as an educational ideal may be seen as a key instrument in thinking of the educational context as itself a medium of synthesis of the contemplative and the practical. Moreover, it is helpful in overcoming the bad dilemma of ideological vs. conservative approaches to liberal education, as well as in correcting a certain commonly held false view of the historical roots of liberal education in the Renaissance, which turns out to offer much more of a sui generis approach to practice rather than represent a mere precursor to the Cartesian conception.

Keywords: liberal arts, philosophy, education, Descartes, naivete

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Authors: Caiwei Zhu, Remke Klapwijk

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Spatial thinking, a way of thinking based on the understanding and reasoning of spatial concepts and representations, is embedded in science, technology, engineering, arts, and mathematics (STEAM) learning. Aside from many studies that successfully used targeted training to improve students’ spatial thinking skills, few have closely examined how spatial thinking can be trained in classroom settings. Design and technology education, which receives increasing attention towards its integration into formal curriculums, inherently encompasses a wide range of spatial activities, such as constructing mental representations of design ideas, mentally transforming objects and materials to form designs, visually communicating design plans through annotated drawings, and creating 2D and 3D design artifacts. Among different design topics, biomimicry offers a unique avenue for students to recognize and analyze the shapes and structures in nature. By mapping the forms of plants and animals onto functions, students gain inspiration to solve human design challenges. This study is one of the first to highlight opportunities for training spatial thinking in a biomimicry design project for primary school students. Embracing methodological principles of educational design-based research, this case study is conducted along with iterations in the design of the intervention and collaboration with teachers. Data are harvested from small groups of 10- to 12-year-olds at an international school in the Netherlands. Classroom videos, semi-structured interviews with students, design drawings and artifacts, formative assessment, and the pre- and post-intervention spatial test triangulate evidence for students' spatial thinking. In addition to contributing to a theory of integrating spatial thinking in the primary curriculum, mechanisms underlying such improvement in spatial thinking are explored and discussed.

Keywords: biomimicry, design and technology education, primary education, spatial thinking

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Authors: Xinyu Zhang, Olga Torres-Hostench

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This article presents a comparative study evaluating and comparing the quality of machine translation (MT) output of Chinese gastronomy nomenclature. Chinese gastronomic culture is experiencing an increased international acknowledgment nowadays. The nomenclature of Chinese gastronomy not only reflects a specific aspect of culture, but it is related to other areas of society such as philosophy, traditional medicine, etc. Chinese dish names are composed of several types of cultural references, such as ingredients, colors, flavors, culinary techniques, cooking utensils, toponyms, anthroponyms, metaphors, historical tales, among others. These cultural references act as one of the biggest difficulties in translation, in which the use of translation techniques is usually required. Regarding the lack of Chinese food-related translation studies, especially in Chinese-Spanish translation, and the current massive use of MT, the quality of the MT output of Chinese dish names is questioned. Fifty Chinese dish names with different types of cultural components were selected in order to complete this study. First, all of these dish names were translated by three different MT tools (Google Translate, Baidu Translate and Bing Translator). Second, a questionnaire was designed and completed by 12 Chinese online users (Chinese graduates of a Hispanic Philology major) in order to find out user preferences regarding the collected MT output. Finally, human translation techniques were observed and analyzed to identify what translation techniques would be observed more often in the preferred MT proposals. The result reveals that the MT output of the Chinese gastronomy nomenclature is not of high quality. It would be recommended not to trust the MT in occasions like restaurant menus, TV culinary shows, etc. However, the MT output could be used as an aid for tourists to have a general idea of a dish (the main ingredients, for example). Literal translation turned out to be the most observed technique, followed by borrowing, generalization and adaptation, while amplification, particularization and transposition were infrequently observed. Possibly because that the MT engines at present are limited to relate equivalent terms and offer literal translations without taking into account the whole context meaning of the dish name, which is essential to the application of those less observed techniques. This could give insight into the post-editing of the Chinese dish name translation. By observing and analyzing translation techniques in the proposals of the machine translators, the post-editors could better decide which techniques to apply in each case so as to correct mistakes and improve the quality of the translation.

Keywords: Chinese dish names, cultural references, machine translation, translation techniques

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Authors: Ana Maria Reis d'Azevedo Breda, Catarina Maria Neto da Cruz

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The role of images/illustrations in communicating meanings and triggering emotions assumes an increasingly relevant role in contemporary texts, regardless of the age group for which they are intended or the nature of the texts that host them. It is no coincidence that children's books are full of illustrations and that the image/text ratio decreases as the age group grows. The vast majority of children's books can be considered multimodal texts containing text and images/illustrations interacting with each other to provide the young reader with a broader and more creative understanding of the book's narrative. This interaction is very diverse, ranging from images/illustrations that are not essential for understanding the storytelling to those that contribute significantly to the meaning of the story. Usually, these books are also read by adults, namely by parents, educators, and teachers who act as mediators between the book and the children, explaining aspects that are or seem to be too complex for the child's context. It should be noted that there are books labeled as children's books that are clearly intended for both children and adults. In this work, following a qualitative and interpretative methodology based on written productions, participant observation, and field notes, we will describe the perceptions of future teachers of the 1st cycle of basic education, attending a master's degree at a Portuguese university, about the role of the image in literary and non-literary texts, namely in mathematical texts, and how these can constitute precious resources for emotional regulation and for the design of creative didactic situations. The analysis of the collected data allowed us to obtain evidence regarding the evolution of the participants' perception regarding the crucial role of images in children's literature, not only as an emotional regulator for young readers but also as a creative source for the design of meaningful didactical situations, crossing other scientific areas, other than the mother tongue, namely mathematics.

Keywords: children’s literature, emotions, multimodal texts, soft skills

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Authors: Dolores Sucozhañay, Gustavo Pacheco, Paul Vanegas

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In the context of sustainable development and the transition towards a sustainable circular economy (CE), evaluating the social dimension remains a challenge. Therefore, developing a respective methodology is highly important. First, the change of the economic model may cause significant social effects, which today remain unaddressed. Second, following the current level of globalization, CE implementation requires targeting global material cycles and causes social impacts on potentially vulnerable social groups. A promising methodology is the Social Life Cycle Assessment (SLCA), which embraces the philosophy of life cycle thinking and provides complementary information to environmental and economic assessments. In this context, the present work uses the updated Social Life Cycle Assessment (SLCA) Guidelines 2020 to assess the social performance of the recycling system of Cuenca, Ecuador, to exemplify a social assessment method. Like many other developing countries, Ecuador heavily depends on the work of informal waste pickers (recyclers), who, even contributing to a CE, face harsh socio-economic circumstances, including inappropriate working conditions, social exclusion, exploitation, etc. Under a Reference Scale approach (Type 1), 12 impact subcategories were assessed through 73 site-specific inventory indicators, using an ascending reference scale ranging from -2 to +2. Findings reveal a social performance below compliance levels with local and international laws, basic societal expectations, and practices in the recycling sector; only eight and five indicators present a positive score. In addition, a social hotspot analysis depicts collection as the most time-consuming lifecycle stage and the one with the most hotspots, mainly related to working hours and health and safety aspects. This study provides an integrated view of the recyclers’ contributions, challenges, and opportunities within the recycling system while highlighting the relevance of assessing the social dimension of CE practices. It also fosters an understanding of the social impact of CE operations in developing countries, highlights the need for a close north-south relationship in CE, and enables the connection among the environmental, economic, and social dimensions.

Keywords: SLCA, circular economy, recycling, social impact assessment

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Authors: Sraman Sree Mattananda

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This present article is an analytical research on ‘Buddhism and Innovative Sustainable Development.' The main purpose of researching is to the better understanding of many social science theories both in politics and in economics. And the understanding of both Buddhism and science is complementary in order to enable any individual to live a full and meaningful human life. How people can avoid conflict, socially, economically, politically and spiritually using Buddhist teachings for a sustainable development. The aim of studying is also to comprehend every human to be aware that peoples’ happiness and sorrow depends on the choices that they had taken to do what was perceptional right and wrong. Everything that happens does have a reason. This study will be supported by the supply of environmental knowledge, philosophy, and experience. Within the domestic and international cultures, this knowledge might provide a significant basis for the contemporary and the future world. Happiness and unsatisfactoriness of mind depend on the consequences of what we had already done. This is to give deep sense to adjust the nature of all that exists and desire not to attach to them and to liberate oneself leaving the reality as it is. An implicit of references will be drawn from the primary sources, secondary sources, internet sources, and other Scholar’s diamond writings, to prove the investigation of philosophical and theoretical analysis. After the investigation of philosophical and theoretical analysis, the article will demonstrate about, what Buddha advised the follows to stop over-exploitation and how to eradicate conflicts to gain a peaceful society. This will be a lively awareness in the approach to the understanding of the Buddhist view of reality and adopt with middle path. The last part of the article will concern with the Buddhist Challenge of sustaining the society and how Buddhist contemporary scholars interpret sustainable development issues. Mahatma Gandhi’s emphasize to use Buddhist Non-Violence will be demonstrating to gain peace, freedom, and security. Twelve things that concern us when we want to explore the issues of sustainability, demonstrated by A Little Book of Hope will be cleared. How individual hearts can implicate to the contemporary globe will be demonstrated to obtain healthy and practical environment. Finally, generating new awareness and care by minimizing the negative impact on earth resources will reduce the degradation of the planet which would pose a challenge to sustain Development.

Keywords: Buddhism, economic, sustainable development, Buddhist ethics

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Authors: László Schmidt

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“Post hoc ergo propter hoc” means after it, therefore because of it. In other words: If event Y followed event X, then event Y must have been caused by event X. The question of causation has long been a central theme in philosophical thought, and many different theories have been put forward. However, causality is an essentially contested concept (ECC), as it has no universally accepted definition and is used differently in everyday, scientific, and legal thinking. In the field of law, the question of causality arises mainly in the context of establishing legal liability: in criminal law and in the rules of civil law on liability for damages arising either from breach of contract or from tort. In the study some philosophical theories of causality will be presented and how these theories correlate with legal causality. It’s quite interesting when philosophical abstractions meet the pragmatic demands of jurisprudence. In Hungarian criminal judicial practice the principle of equivalence of conditions is the generally accepted and applicable standard of causation, where all necessary conditions are considered equivalent and thus a cause. The idea is that without the trigger, the subsequent outcome would not have occurred; all the conditions that led to the subsequent outcome are equivalent. In the case where the trigger that led to the result is accompanied by an additional intervening cause, including an accidental one, independent of the perpetrator, the causal link is not broken, but at most the causal link becomes looser. The importance of the intervening causes in the outcome should be given due weight in the imposition of the sentence. According to court practice if the conduct of the offender sets in motion the causal process which led to the result, it does not exclude his criminal liability and does not interrupt the causal process if other factors, such as the victim's illness, may have contributed to it. The concausa does not break the chain of causation, i.e. the existence of a causal link establish the criminal liability of the offender. Courts also adjudicates that if an act is a cause of the result if the act cannot be omitted without the result being omitted. This essentially assumes a hypothetical elimination procedure, i.e. the act must be omitted in thought and then examined to see whether the result would still occur or whether it would be omitted. On the substantive side, the essential condition for establishing the offence is that the result must be demonstrably connected with the activity committed. The provision on the assessment of the facts beyond reasonable doubt must also apply to the causal link: that is to say, the uncertainty of the causal link between the conduct and the result of the offence precludes the perpetrator from being held liable for the result. Sometimes, however, the courts do not specify in the reasons for their judgments what standard of causation they apply, i.e. on what basis they establish the existence of (legal) causation.

Keywords: causation, Hungarian criminal law, responsibility, philosophy of law

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Authors: Deniz Ünal Özpalamutcu, Burcu Altman

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Actuaria uses mathematics, statistic and financial information when analyzing the financial impacts of uncertainties, risks, insurance and pension related issues. In other words, it deals with the likelihood of potential risks, their financial impacts and especially the financial measures. Handling these measures require some long-term payment and investments. So, it is obvious it is inevitable to plan the periodic payments with equal time intervals considering also the changing value of money over time. These series of payment made specific intervals of time is called annuity or rant. In literature, rants are classified based on start and end dates, start times, payments times, payments amount or frequency. Classification of rants based on payment amounts changes based on the constant, descending or ascending payment methods. The literature about handling the annuity is very limited. Yet in a daily life, especially in today’s world where the economic issues gained a prominence, it is very crucial to use the variable annuity method in line with the demands of the customers. In this study, the types of annuities with flexible payment are discussed. In other words, we focus on calculating payment amount of a period by adding a certain percentage of previous period payment was studied. While studying this problem, formulas were created considering both start and end period payments for cash value and accumulated. Also increase of each period payment by r interest rate each period payments calculated with previous periods increases. And the problem of annuities (rants) of which each period payment increased with previous periods’ increase by r interest rate has been analyzed. Cash value and accumulated value calculation of this problem were studied separately based on the period start/end and their relations were expressed by formulas.

Keywords: actuaria, annuity, flexible payment, rant

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Authors: Meinrad Haule Lembuka

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Social work profession one of its primary mission is to restore and maintain human rights where social workers recognise all humanity as equal, and so too the philosophies that have developed across the world’s regions. Ubuntu means African Humanism, where realization of human rights has been a primary role for every member of community to protect other member. Before Universal declaration of human rights, African societies had a long history of embracing human rights through Ubuntu approach model. The article used Ubuntu theory to guide the review process of existing literature since Ubuntu theory since is grounded in African cultural values and ecology, and it was thought that application of Ubuntu theory was relevant to reflect reality of Ubuntu model and indigenization of social work in African context. Results have shown that in realization of human rights, Ubuntu was practiced is termed as model, philosophy, cultural values, way of life or framework originated in sub-sahara Africa and some of remarkably practice model in several African communities such as Angola, (gimuntu), Botswana (muthu), Burkina Faso (maaya), Ghana (biako ye), Malawi (umunthu), Mali (maaya/hadama de ya), Namibia (omundu), Nigeria (mutunchi/iwa/agwa), (bantu), Sierra Leonne (maaya), South Africa (ubuntu/botho) and Tanzania (utu/obuntu/bumuntu). Collective and holistic mechanism of Ubuntu is found through an Ubuntu framework that is contributed by individual, family, community and spirit that is characterised by interconnectedness of all things and beings. Each society has its own name but the practice remained the same and realization of human rights in Africa context was centred through human dignity, Ubuntu is built under cultural values of humanism that brings implications for African social worker to integrate this indigenous model into social work practice in restoring and maintain human rights. Social workers should promote policies and practices that demonstrate respect for human life, difference, support and expansion of cultural knowledge and resources, advocate for programmes and institutions that demonstrate cultural competence and promote policies that safeguard the rights and confirm equity and social justice for all people.

Keywords: African ubuntu, indigenous practice, African humanism, African human rights, social work and human rights

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Authors: Sudhir Kumar Tewatia, Kanishck Tewatia, Anttriksh Tewatia

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Advancements in soil consolidation are discussed, and further improvements are proposed with particular reference to Tewatia’s Y-Y’ Approach, which is called the Settlement versus Rate of Settlement Approach in consolidation. A branch of calculus named Y-Y' (or y versus dy/dx) is suggested (as compared to the common X-Y', x versus dy/dx, dy/dx versus x or Newton-Leibniz branch) that solves some complicated/unsolved theoretical and practical problems in physical sciences (Physics, Chemistry, Mathematics, Biology, and allied sciences) and engineering in an amazingly simple and short manner, particularly when independent variable X is unknown and X-Y' Approach can’t be used. Complicated theoretical and practical problems in 1D, 2D, 3D Primary and Secondary consolidations with non-uniform gradual loading and irregularly shaped clays are solved with elementary school level Y-Y' Approach, and it is interesting to note that in X-Y' Approach, equations become more difficult while we move from one to three dimensions, but in Y-Y' Approach even 2D/3D equations are very simple to derive, solve, and use; rather easier sometimes. This branch of calculus will have a far-reaching impact on understanding and solving the problems in different fields of physical sciences and engineering that were hitherto unsolved or difficult to be solved by normal calculus/numerical/computer methods. Some particular cases from soil consolidation that basically creeps and diffusion equations in isolation and in combination with each other are taken for comparison with heat transfer. The Y-Y’ Approach can similarly be applied in wave equations and other fields wherever normal calculus works or fails. Soil mechanics uses mathematical analogies from other fields of physical sciences and engineering to solve theoretical and practical problems; for example, consolidation theory is a replica of the heat equation from thermodynamics with the addition of the effective stress principle. An attempt is made to give them mathematical analogies.

Keywords: calculus, clay, consolidation, creep, diffusion, heat, settlement

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Authors: George Bocean

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In the mainstream academic spheres of thought, there is a tendency to associate the writings of Russian Marxists as being constantly against the practice of religion itself. Such arguments mainly stem from how the attitude of the Russian Marxists, specifically the Bolsheviks, towards the concept of religion supposedly originates from its own Marxist ideology. Although Marxism is critical of religion as an institution, the approach that Marxism would have on the question of religion is not as clear. Such aspect is specifically observed in the use of language of major leading Russian Marxist figures, such as Lenin and Trotsky, throughout the early 20th century, where the use of religious metaphors was widely used in their philosophical writings and speeches, as well as in propaganda posters of general left-wing movements in Russia as a whole. The methodology of the research will consist of a sociolinguistic and sociology of language approach within a sociohistorical framework of late Tsarist and early Soviet Russia, 1905-1926. The purpose of such approaches are not simply to point out the religious metaphors used in the writings and speeches of Marxists in Russia, but rather in order to analyse how the use of such metaphors represent an important socio-political connection with the context of Russia at the time. In other words, the use of religious metaphors was not only more akin to Russian culture at the time, but this also resonated and was more familiar with the conditions of the working class and peasantry. An example in this study can be observed in the writings of Lenin, where the theme of chudo (miracle) is often mentioned in his writings, and such a word is commonly associated with an idealist philosophy rather than a materialist one, which represents a common theme in Russian culture in regards to the principle of hope for a better life. A further and even more obvious example is Trotsky’s writings about how the revolution of 1905 “would be revived”, which not only resonates with the theme of resurrection, but also prophesises the “second coming” of a future revolution. Such metaphors are important in the writings of such authors, as they simultaneously contain Marxist ideas, as well as religious themes. In doing this research, this paper will demonstrate two aspects. Firstly, the paper will analyse the use of the metaphors by Russian Marxists as a whole in regards to a socio-political and ideological perspectives akin to those of Marxism. Secondly, it will also demonstrate the role that such metaphors have in regards to their impact on the left-wing movements within Russia itself, as well as their relation to the working class and peasantry of Russia within the historical context.

Keywords: language and politics, Marxism, Russian history, social history, sociology of language

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Authors: Shouji Yujiro, Memei Dukovic, Mist Yakubu

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Fields are important objects of study in algebra since they provide a useful generalization of many number systems, such as the rational numbers, real numbers, and complex numbers. In particular, the usual rules of associativity, commutativity and distributivity hold. Fields also appear in many other areas of mathematics; see the examples below. When abstract algebra was first being developed, the definition of a field usually did not include commutativity of multiplication, and what we today call a field would have been called either a commutative field or a rational domain. In contemporary usage, a field is always commutative. A structure which satisfies all the properties of a field except possibly for commutativity, is today called a division ring ordivision algebra or sometimes a skew field. Also non-commutative field is still widely used. In French, fields are called corps (literally, body), generally regardless of their commutativity. When necessary, a (commutative) field is called corps commutative and a skew field-corps gauche. The German word for body is Körper and this word is used to denote fields; hence the use of the blackboard bold to denote a field. The concept of fields was first (implicitly) used to prove that there is no general formula expressing in terms of radicals the roots of a polynomial with rational coefficients of degree 5 or higher. An extension of a field k is just a field K containing k as a subfield. One distinguishes between extensions having various qualities. For example, an extension K of a field k is called algebraic, if every element of K is a root of some polynomial with coefficients in k. Otherwise, the extension is called transcendental. The aim of Galois Theory is the study of algebraic extensions of a field. Given a field k, various kinds of closures of k may be introduced. For example, the algebraic closure, the separable closure, the cyclic closure et cetera. The idea is always the same: If P is a property of fields, then a P-closure of k is a field K containing k, having property, and which is minimal in the sense that no proper subfield of K that contains k has property P. For example if we take P (K) to be the property ‘every non-constant polynomial f in K[t] has a root in K’, then a P-closure of k is just an algebraic closure of k. In general, if P-closures exist for some property P and field k, they are all isomorphic. However, there is in general no preferable isomorphism between two closures.

Keywords: field theory, mechanic maths, supertech, rolltech

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Authors: Neslihan Sahin Celik, Ali Eraslan

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Mathematical model and modeling are one of the topics that have been intensively discussed in recent years. In line with the results of the PISA studies, researchers in many countries have begun to question how much students in school-education system are prepared to solve the real-world problems they encounter in their future professional lives. As a result, many mathematics educators have begun to emphasize the importance of new skills and understanding such as constructing, Hypothesizing, Describing, manipulating, predicting, working together for complex and multifaceted problems for success in beyond the school. When students increasingly face this kind of situations in their daily life, it is important to make sure that students have enough experience to work together and interpret mathematical situations that enable them to think in different ways and share their ideas with their peers. Thus, model eliciting activities are one of main tools that help students to gain experiences and the new skills required. This research study was carried on the town center of a big city located in the Black Sea region in Turkey. The participants were eighth-grade students in a middle school. After a six-week preliminary study, three students in an eighth-grade classroom were selected using criterion sampling technique and placed in a focus group. The focus group of three students was videotaped as they worked on a model eliciting activity, the Summer Job Problem. The conversation of the group was transcribed, examined with students’ written work and then qualitatively analyzed through the lens of Blum’s (1996) modeling processing cycle. The study results showed that eighth grade students can successfully work with the model eliciting, develop a model based on the two parameters and review the whole process. On the other hand, they had difficulties to relate parameters to each other and take all parameters into account to establish the model.

Keywords: middle school, modeling, mathematical modeling, summer job problem

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Authors: Santosh Kaware, Dnyandeo Patil, Moninder Modgil, Hemant Bhoir, Debendra Behera

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The Unified Field Theory has been an area of intensive research since many decades. This paper focuses on philosophy and metaphysics of unified field theory at Planck scale - and its relationship with super string theory and Quantum Vacuum Dynamic Physics. We examined the epistemology of questions such as - (1) what is the Unified Field of universe? (2) can it actually - (a) permeate the complete universe - or (b) be localized in bound regions of the universe - or, (c) extend into the extra dimensions? - -or (d) live only in extra dimensions? (3) What should be the emergent ontological properties of Unified field? (4) How the universe is manifesting through its Quantum Vacuum energies? (5) How is the space time metric coupled to the Unified field? We present a number of ansatz - which we outline below. It is proposed that the unified field possesses consciousness as well as a memory - a recording of past history - analogous to ‘Consistent Histories’ interpretation of quantum mechanics. We proposed Planck scale geometry of Unified Field with circle like topology and having 32 energy points on its periphery which are the connected to each other by 10 dimensional meta-strings which are sources for manifestation of different fundamentals forces and particles of universe through its Quantum Vacuum energies. It is also proposed that the sub energy levels of ‘Conscious Unified Field’ are used for the process of creation, preservation and rejuvenation of the universe over a period of time by means of negentropy. These epochs can be for the complete universe, or for localized regions such as galaxies or cluster of galaxies. It is proposed that Unified field operates through geometric patterns of its Quantum Vacuum energies - manifesting as various elementary particles by giving spins to zero point energy elements. Epistemological relationship between unified field theory and super-string theories is examined. Properties of ‘consciousness’ and 'memory' cascades from universe, into macroscopic objects - and further onto the elementary particles - via a fractal pattern. Other properties of fundamental particles - such as mass, charge, spin, iso-spin also spill out of such a cascade. The manifestations of the unified field can reach into the parallel universes or the ‘multi-verse’ and essentially have an existence independent of the space-time. It is proposed that mass, length, time scales of the unified theory are less than even the Planck scale - and can be called at a level which we call that of 'Super Quantum Gravity (SQG)'.

Keywords: super string theory, Planck scale geometry, negentropy, super quantum gravity

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Authors: Lucian Vasile Bagiu, Paraschiva Bagiu

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The novel written in Italian and published in Italy in 1992 by the Romanian scholar Marin Mincu is meant for the foreign reader, aiming apparently at a better knowledge of the historical character of Vlad the Empalor (Vlad Dracul), within the European cultural, political and historical context of 1463. Throughout the very well written tome, one comes to realize that one of the underlining levels of the fiction is the exposing of various fundamental features of the Romanian culture and civilization. The author of the diary, Dracula, makes mention of Corpus Hermeticum no less than fifteen times, suggesting his own diary is some sort of a philosophical counterpart. The essay focuses on several ‘truths’ and ‘wisdom’ revealed in the fictional teachings of Dracula. The boycott of History by the Romanians is identified as an echo of the philosophical approach of the famous Romanian scholar and writer Lucian Blaga. The orality of the Romanian culture is a landmark opposed to written culture of the Western Europe. The religion of the ancient Dacian God Zalmoxis is seen as the basis for the Romanian existential and/or metaphysical ethnic philosophy (a feature tackled by the famous Romanian historian of religion Mircea Eliade), with a suggestion that Hermes Trismegistus may have written his Corpus Hermeticum being influenced by Zalmoxis. The historical figure of the last Dacian king Decebalus (death 106 AD) is a good pretext for a tantalizing Indo-European suggestion that the prehistoric Thraco-Dacian people may have been the ancestors of the first Romans settled in Latium. The lost diary of the Emperor Trajan The Bello Dacico may have proved that the unknown language of the Dacians was very much alike Latin language (a secret well hidden by the Vatican). The attitude towards death of the Dacians, as described by Herodotus, may have later inspired Pitagora, Socrates, the Eleusinian and Orphic Mysteries, etc. All of these within the Humanistic and Renascentist European context of the epoch, Dracula having a close relationship with scholars such as Nicolaus Cusanus, Cosimo de Medici, Marsilio Ficino, Pope Pius II, etc. Thus The Diary of Dracula turns out as exciting and stupefying as Corpus Hermeticum, a book impossible to assimilate entirely, yet a reference not wise to be ignored.

Keywords: Corpus Hermeticum, Dacians, Dracula, Zalmoxis

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Authors: Jeff Chak-Fu Wong, Tony Chun Yin Yip

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The transition from secondary school to university seems exciting for many first-year students but can be more challenging than expected. Enabling instructors to know students’ learning habits and styles enhances their understanding of the students’ learning backgrounds, allows teachers to provide better support for their students, and has therefore high potential to improve teaching quality and learning, especially in any mathematics-related courses. The aim of this research is to collect students’ data using online surveys, to analyze students’ factors using learning analytics and educational data mining and to discover the characteristics of the students at risk of falling behind in their studies based on students’ previous academic backgrounds and collected data. In this paper, we use correlation-based distance methods and mutual information for measuring student factor relationships. We then develop a factor network using the Minimum Spanning Tree method and consider further study for analyzing the topological properties of these networks using social network analysis tools. Under the framework of mutual information, two graph-based feature filtering methods, i.e., unsupervised and supervised infinite feature selection algorithms, are used to analyze the results for students’ data to rank and select the appropriate subsets of features and yield effective results in identifying the factors affecting students at risk of failing. This discovered knowledge may help students as well as instructors enhance educational quality by finding out possible under-performers at the beginning of the first semester and applying more special attention to them in order to help in their learning process and improve their learning outcomes.

Keywords: students' academic performance, correlation-based distance method, social network analysis, feature selection, graph-based feature filtering method

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Authors: Pontus Backstrom

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In the educational literature on peer effects, attention has been brought to the fact that the mechanisms creating peer effects are still to a large extent hidden in obscurity. The hypothesis in this study is that the Frame Factor Theory can be used to explain these mechanisms. At heart of the theory is the concept of “time needed” for students to learn a certain curricula unit. The relations between class-aggregated time needed and the actual time available, steers and hinders the actions possible for the teacher. Further, the theory predicts that the timing and pacing of the teachers’ instruction is governed by a “criterion steering group” (CSG), namely the pupils in the 10th-25th percentile of the aptitude distribution in class. The class composition hereby set the possibilities and limitations for instruction, creating peer effects on individual outcomes. To test if the theory can be applied to the issue of peer effects, the study employs multilevel structural equation modelling (M-SEM) on Swedish TIMSS 2015-data (Trends in International Mathematics and Science Study; students N=4090, teachers N=200). Using confirmatory factor analysis (CFA) in the SEM-framework in MPLUS, latent variables are specified according to the theory, such as “limitations of instruction” from TIMSS survey items. The results indicate a good model fit to data of the measurement model. Research is still in progress, but preliminary results from initial M-SEM-models verify a strong relation between the mean level of the CSG and the latent variable of limitations on instruction, a variable which in turn have a great impact on individual students’ test results. Further analysis is required, but so far the analysis indicates a confirmation of the predictions derived from the frame factor theory and reveals that one of the important mechanisms creating peer effects in student outcomes is the effect the class composition has upon the teachers’ instruction in class.

Keywords: compositional effects, frame factor theory, peer effects, structural equation modelling

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Authors: Abdullah Al Farwan, Ya Zhang

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In today’s educational arena, it is critical to understand educational data and be able to evaluate important aspects, particularly data on student achievement. Educational Data Mining (EDM) is a research area that focusing on uncovering patterns and information in data from educational institutions. Teachers, if they are able to predict their students' class performance, can use this information to improve their teaching abilities. It has evolved into valuable knowledge that can be used for a wide range of objectives; for example, a strategic plan can be used to generate high-quality education. Based on previous data, this paper recommends employing data mining techniques to forecast students' final grades. In this study, five data mining methods, Decision Tree, JRip, Naive Bayes, Multi-layer Perceptron, and Random Forest with wrapper feature selection, were used on two datasets relating to Portuguese language and mathematics classes lessons. The results showed the effectiveness of using data mining learning methodologies in predicting student academic success. The classification accuracy achieved with selected algorithms lies in the range of 80-94%. Among all the selected classification algorithms, the lowest accuracy is achieved by the Multi-layer Perceptron algorithm, which is close to 70.45%, and the highest accuracy is achieved by the Random Forest algorithm, which is close to 94.10%. This proposed work can assist educational administrators to identify poor performing students at an early stage and perhaps implement motivational interventions to improve their academic success and prevent educational dropout.

Keywords: classification algorithms, decision tree, feature selection, multi-layer perceptron, Naïve Bayes, random forest, students’ academic performance

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Authors: Lina Sun

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Chinese traditional drawings related to buildings and construction apply a unique geometry differentiating with western Euclidean geometry and embrace a collection of special terminologies, under the category of tu (the Chinese character for drawing). This paper will on one side etymologically analysis the terminologies of Chinese traditional architectural drawing, and on the other side geometrically deconstruct the composition of tu and locate the visual narrative language of tu in the pictorial tradition. The geometrical analysis will center on selected series of Yang-shi-lei tu of the construction of emperors’ mausoleums in Qing Dynasty (1636-1912), and will also draw out the earlier architectural drawings and the architectural paintings such as the jiehua, and paintings on religious frescoes and tomb frescoes as the comparison. By doing these, this research will reveal that both the terminologies corresponding to different geometrical forms respectively indicate associations between architectural drawing and the philosophy of Chinese cosmology, and the arrangement of the geometrical forms in the visual picture plane facilitates expressions of the concepts of space and position in the geometrical cosmology. These associations and expressions are the collective intentions of architectural drawing evolving in the thousands of years’ tradition without breakage and irrelevant to the individual authorship. Moreover, the architectural tu itself as an entity, not only functions as the representation of the buildings but also express intentions and strengthen them by using the Chinese unique geometrical language flexibly and intentionally. These collective cosmological spatial intentions and the corresponding geometrical words and languages reveal that the Chinese traditional architectural drawing functions as a unique architectural site with subjectivity which exists parallel with buildings and express intentions and meanings by itself. The methodology and the findings of this research will, therefore, challenge the previous researches which treat architectural drawings just as the representation of buildings and understand the drawings more than just using them as the evidence to reconstruct the information of buildings. Furthermore, this research will situate architectural drawing in between the researches of Chinese technological tu and artistic painting, bridging the two academic areas which usually treated the partial features of architectural drawing separately. Beyond this research, the collective subjectivity of the Chinese traditional drawings will facilitate the revealing of the transitional experience from traditions to drawing modernity, where the individual subjective identities and intentions of architects arise. This research will root for the understanding both the ambivalence and affinity of the drawing modernity encountering the traditions.

Keywords: Chinese traditional architectural drawing (tu), etymology of tu, collective subjectivity of tu, geometrical cosmology in tu, geometry and composition of tu, Yang-shi-lei tu

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Authors: Neslihan Şahin Çelik, Ali Eraslan

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In recent years, mathematics educators have frequently stressed the necessity of instructing students about models and modeling approaches that encompass cognitive and metacognitive thought processes, starting from the first years of school and continuing on through the years of higher education. The purpose of this study is to examine the thought processes of 4th-grade primary school students in their modeling activities and to explore the difficulties encountered in these processes, if any. The study, of qualitative design, was conducted in the 2015-2016 academic year at a public state-school located in a central city in the Black Sea Region of Turkey. A preliminary study was first implemented with designated 4th grade students, after which the criterion sampling method was used to select three students that would be recruited into the focus group. The focus group that was thus formed was asked to work on the model eliciting activity of the Paper Airplane Problem and the entire process was recorded on video. The Paper Airplane Problem required the students to determine the winner with respect to: (a) the plane that stays in the air for the longest time; (b) the plane that travels the greatest distance in a straight-line path; and (c) the overall winner for the contest. A written transcript was made of the video recording, after which the recording and the students' worksheets were analyzed using the Blum and Ferri modeling cycle. The results of the study revealed that the students tested the hypotheses related to daily life that they had set up, generated ideas of their own, verified their models by making connections with real life, and tried to make their models generalizable. On the other hand, the students had some difficulties in terms of their interpretation of the table of data and their ways of operating on the data during the modeling processes.

Keywords: primary school students, model eliciting activity, mathematical modeling, modeling process, paper airplane problem

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Authors: Asrat M.Belachew, Tiago Pereira, Institute of Mathematics, Computer Sciences, Avenida Trabalhador São Carlense, 400, São Carlos, 13566-590, Brazil

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Infectious diseases are among the most prominent threats to human beings. They cause morbidity and mortality to an individual and collapse the social, economic, and political systems of the whole world collectively. Mathematical models are fundamental tools and provide a comprehensive understanding of how infectious diseases spread and designing the control strategy to mitigate infectious diseases from the host population. Modeling the spread of infectious diseases using a compartmental model of inhomogeneous populations is good in terms of complexity. However, in the real world, there is a situation that accounts for heterogeneity, such as ages, locations, and contact patterns of the population which are ignored in a homogeneous setting. In this work, we study how classical an SEIR infectious disease spreading of the compartmental model can be extended by incorporating the mobility of population between heterogeneous cities during an outbreak of infectious disease. We have formulated an SEIR multi-cities epidemic spreading model using a system of 4k ordinary differential equations to describe the disease transmission dynamics in k-cities during the day and night. We have shownthat the model is epidemiologically (i.e., variables have biological interpretation) and mathematically (i.e., a unique bounded solution exists all the time) well-posed. We constructed the next-generation matrix (NGM) for the model and calculated the basic reproduction number R0for SEIR-epidemic spreading model with cities mobility. R0of the disease depends on the spectral radius mobility operator, and it is a threshold between asymptotic stability of the disease-free equilibrium and disease persistence. Using the eigenvalue perturbation theorem, we showed that sending a fraction of the population between cities decreases the reproduction number of diseases in interconnected cities. As a result, disease transmissiondecreases in the population.

Keywords: SEIR-model, mathematical model, city mobility, epidemic spreading

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Authors: Adel S. Alanazi

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The transition of a student with a disability from school to work is the most crucial phase while moving from the stage of adolescence into early adulthood. In this process, young individuals face various difficulties and challenges in order to accomplish the next venture of life successfully. In this respect, this paper aims to examine the challenges encountered by the individuals with intellectual disabilities in transition to work in Saudi Arabia. For this purpose, this study has undertaken a qualitative research-based methodology; wherein interpretivist philosophy has been followed along with inductive approach and exploratory research design. The data for the research has been gathered with the help of semi-structured interviews, whose findings are analysed with the help of thematic analysis. Semi-structured interviews were conducted with parents of persons with intellectual disabilities, officials, supervisors and specialists of two vocational rehabilitation centres providing training to intellectually disabled students, in addition to that, directors of companies and websites in hiring those individuals. The total number of respondents for the interview was 15. The purposive sampling method was used to select the respondents for the interview. This sampling method is a non-probability sampling method which draws respondents from a known population and allows flexibility and suitability in selecting the participants for the study. The findings gathered from the interview revealed that the lack of awareness among their parents regarding the rights of their children who are intellectually disabled; the lack of adequate communication and coordination between various entities; concerns regarding their training and subsequent employment are the key difficulties experienced by the individuals with intellectual disabilities. Training in programmes such as bookbinding, carpentry, computing, agriculture, electricity and telephone exchange operations were involved as key training programmes. The findings of this study also revealed that information technology and media were playing a significant role in smoothing the transition to employment of individuals with intellectual disabilities. Furthermore, religious and cultural attitudes have been identified to be restricted for people with such disabilities in seeking advantages from job opportunities. On the basis of these findings, it can be implied that the information gathered through this study will serve to be highly beneficial for Saudi Arabian schools/ rehabilitation centres for individuals with intellectual disability to facilitate them in overcoming the problems they encounter during the transition to work.

Keywords: intellectual disability, transition services, rehabilitation centre, employment

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Authors: Visvaganthie Moodley

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Language use and aesthetic appreciation are integral to meaning-making in prose, as they are in poetry. However, in comparison to poetic analysis, a literary analysis of prose that focuses on linguistics and stylistics is somewhat scarce as it generally requires the study of lengthy texts. Nevertheless, the effect of linguistic and stylistic features in prose as conscious design by authors for creating specific effects and conveying preconceived messages is drawing increasing attention of linguists and literary experts. A close examination of language use in prose can, among a host of literary purposes, convey emotive and cognitive values and contribute to making interpretations about how fictional characters are represented to the imaginative reader. This paper provides a literary analysis of Yann Martel’s narrative of a 14-year-old Indian boy, Pi, who had survived the wreck of a Japanese cargo ship, by focusing on his 227-day journey of tribulations, along with a Bengal tiger, on a lifeboat. The study favours a pluralistic approach blending literary criticism, linguistic analysis and stylistic description. It adopts Leech and Short’s (2007) broad framework of linguistic and stylistic categories (lexical categories, grammatical categories, figures of speech etc. [sic] and context and cohesion) as well as a range of other relevant linguistic phenomena to show how the narrator, Pi, and the author influence the reader’s interpretations of Pi’s character. Such interpretations are made using the lens of Freud’s psychoanalytical theory (which focuses on the interplay of the instinctual id, the ego and the moralistic superego) and Blake’s philosophy of innocence and experience (the two contrary states of the human soul). The paper traces Pi’s transformation from animal-loving, God-fearing vegetarian to brutal animal slayer and cannibal in his journey of survival. By a close examination of the linguistic and stylistic features of the narrative, it argues that, despite evidence of butchery and cannibalism, Pi’s gruesome behaviour is motivated by extreme physiological and psychological duress and not intentional malice. Finally, the paper concludes that the voice of the narrator, Pi, and that of the author, Martel, act as powerful persuasive agents in influencing the reader to respond with a sincere flow of sympathy for Pi and judge him as having retained his innocence in his instinctual need for survival.

Keywords: foregrounding, innocence and experience, lexis, literary analysis, psychoanalytical lens, style

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Authors: Andreas Johansson

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Conceptual understanding needs to be grounded on observation of physical phenomena, experiences or metaphors. Observation of physical phenomena using demonstration experiments has a long tradition within physics education and students need to develop mental models to relate the observations to concepts from scientific theories. This study investigates how live and video experiments involving an acoustic trap to visualize particle-field interaction, field properties and particle properties can help develop students' mental models and how they can be used differently to realize their potential as teaching tools. Initially, they were treated as analogs and the lesson designs were kept identical. With a design-based approach, the experimental and video designs, as well as best practices for a respective teaching tool, were then developed in iterations. Variation theory was used as a theoretical framework to analyze the planned respective realized pattern of variation and invariance in order to explain learning outcomes as measured by a pre-posttest consisting of conceptual multiple-choice questions inspired by the Force Concept Inventory and the Force and Motion Conceptual Evaluation. Interviews with students and teachers were used to inform the design of experiments and videos in each iteration. The lesson designs and the live and video experiments has been developed to help teachers improve student learning and make school physics more interesting by involving experimental setups that usually are out of reach and to bridge the gap between what happens in classrooms and in science research. As students’ conceptual knowledge also rises their interest in physics the aim is to increase their chances of pursuing careers within science, technology, engineering or mathematics.

Keywords: acoustic trap, design-based research, experiments, variation theory

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Authors: C. von Essen

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This study outlines and evaluates a constructivist design approach to the creation of educational video on postgraduate business degree programmes. Many online courses are tapping into the educational affordances of video, as this form of online learning has the potential to create rich, multimodal experiences. And yet, in many learning contexts video is still being used to transmit instruction to passive learners, rather than promote learner engagement and knowledge creation. Constructivism posits the notion that learning is shaped as students make connections between their experiences and ideas. This paper pivots on the following research question: how can we design educational video in ways which promote constructivist learning and stimulate analytic viewing? By exploring and categorizing over two thousand educational videos created since 2014 for over thirty postgraduate courses in business, economics, mathematics and statistics, this paper presents and critically reflects on a taxonomy of video styles and features. It links the pedagogical intent of video – be it concept explanation, skill demonstration, feedback, real-world application of ideas, community creation, or the cultivation of course narrative – to specific presentational characteristics such as visual effects including diagrammatic and real-life graphics and aminations, commentary and sound options, chronological sequencing, interactive elements, and presenter set-up. The findings of this study inform a framework which captures the pedagogical, technological and production considerations instructional designers and educational media specialists should be conscious of when planning and preparing the video. More broadly, the paper demonstrates how learning theory and technology can coalesce to produce informed and pedagogical grounded instructional design choices. This paper reveals how crafting video in a more conscious and critical manner can produce powerful, new educational design.

Keywords: educational video, constructivism, instructional design, business education

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Authors: Sonia Anand Knowlton

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With the rise of artificial intelligence, computer science is becoming increasingly integrated in virtually every area of life. Of course, the law is no exception. Through argumentation frameworks (AFs), computer scientists have used abstract algebra to structure the legal reasoning process in a way that allows conclusions to be drawn from a formalized system of arguments. In AFs, arguments compete against each other for logical success and are related to one another through the binary operation of the attack. The prevailing arguments make up the preferred extension of the given argumentation framework, telling us what set of arguments must be accepted from a logical standpoint. There have been several developments of AFs since its original conception in the early 90’s in efforts to make them more aligned with the human reasoning process. Generally, these developments have sought to add nuance to the factors that influence the logical success of competing arguments (e.g., giving an argument more logical strength based on the underlying value it promotes). The most cogent development was that of the Extended Argumentation Framework (EAF), in which attacks can themselves be attacked by other arguments, and the promotion of different competing values can be formalized within the system. This article applies the logical structure of EAFs to current theoretical understandings of judicial reasoning to contribute to theories of judging and to the evolution of AFs simultaneously. The argument is that the main limitation of EAFs, when applied to judicial reasoning, is that they require judges to themselves assign values to different arguments and then lexically order these values to determine the given framework’s preferred extension. Drawing on John Rawls’ Theory of Justice, the examination that follows is whether values are lexical and commensurable to this extent. The analysis that follows then suggests a potential extension of the EAF system with an approach that formalizes different “planes of attack” for competing arguments that promote lexically ordered values. This article concludes with a summary of how these insights contribute to theories of judging and of legal reasoning more broadly, specifically in indeterminate cases where judges must turn to value-based approaches.

Keywords: computer science, mathematics, law, legal theory, judging

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Authors: A. Tamimi, S. Greatrex-White, A. Narayanasamy

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Background: Spirituality has been increasingly acknowledged in the nursing literature as an important element of holistic patient care. To date there have been numerous studies investigating the meaning of spirituality in Western cultures. Spirituality in Middle Eastern countries however remains under-researched. We will present a study which aimed to address this gap. Aim: The study aimed to explore how spirituality manifests in the lives of Jordanian End Stage Renal Failure (ESRF) patients. Methodology and Method: A hermeneutic phenomenological approach was adopted informed by the philosophy of Martin Heidegger. Participants (n=27) were recruited from four different dialysis units: in a public hospital, a private hospital, an educational hospital and a refugee’s hospital in Jordan. Data was collected through in-depth unstructured interviews. Data Analysis: Analysis was guided by the tenets of hermeneutic phenomenology namely: gaining immediate sense of what was said both during and after each interview, transcribing data verbatim, translating interviews into the English language, intensive reading and re-reading, seeking meaning units by line to line coding, developing situated structures (how spirituality was manifest in each text), developing a general structure from the individual situated structures (how the phenomenon ‘spirituality’ comes into being). Findings: Three major themes emerged from analysis: Religion, Relationships and Desperation. We will argue that a ‘secular’ concept of spirituality had no meaning for the participants in the study. Spirituality is fundamentally part of religion and vice versa. Discussion: The findings may have consequences for the use of spirituality in multi-cultural settings in Western countries. Additionally, findings highlighted an important emphasis on the practice of spirituality, often underestimated in previous literature for Arab-Muslim Jordanian patients. Conclusion: The study findings contribute to the existing gap in knowledge regarding how Arab-Muslim Jordanian ESRF patients experience spirituality during their illness. It provides valuable insights into the importance of spirituality for this patient group and suggests how nurses, educators and policy makers might help address ESRF patients’ spiritual needs and provide appropriate spiritual care. We suggest the findings may have relevance beyond the Jordanian context in educating nurses’ on the importance of appreciating the religious dimension of spirituality.

Keywords: spirituality, nursing, muslim, Jordan

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