My way of teaching mathematics in a social context (in junior high school)

2012 ◽  
Vol 28 (2) ◽  
pp. 171-175
Author(s):  
Shmuel Kneller

This article is not comprehensive. It aims at encouraging all teachers of mathematics ‘to look behind the subject matter’ and to probe what educational values it contains. More examples can easily be found. Suffice it to say that when Pythagoras proved his famous theorem, mankind ‘discovered’ that the square root of 2 is an irrational number. The fact that you cannot write its exact value as a decimal fraction gave people at that time the feeling that they had ‘lost control of their fate’. ‘Friendly’ and ‘perfect’ numbers were created at that time to ward off the doom. Similar feelings of despair followed the recognition that the Earth is not the center of the universe and the use of the atom bomb. All three events in the history of science even led to mass suicides. The examples given above call upon all educators to use the subject matter to enrich social understanding and to help youngsters to build a healthier society.

2021 ◽  
Author(s):  
Bogusław Dopart

The title of the present monograph refers to one of the most fundamental traits of the oeuvre and literary life of Adam Mickiewicz. While constantly occupied with invigorating and broadening the subject- -matter of his works, Mickiewicz is careful to follow a steady track of ideas, concepts, and truths. In constructing successive models of poetic worlds and varying them even within single works, he incessantly integrates them into a dynamic, open universe of the ‘man of transformations’ (in Wacław Borowy’s phrasing) in accordance with the ontic position and experience of a Romantic writer. Diversity and variance of poetic forms in Mickiewicz is counterbalanced by his leaning towards regularity and structural connectedness: cycles. As early as his first critical manifesto, he opposes a schematic labeling of his creative output; he presents the history of European poetry in terms of overlapping traditions and gradual differentiation of national literatures.


1979 ◽  
Vol 32 (4) ◽  
pp. 485-513 ◽  
Author(s):  
Barbara Russano Hanning

Historians of early opera have occasionally noted the appropriateness of Orpheus’ appearance as artistic spokesman for the new art form. Poet-singer par excellence of antiquity, whose music shook the very depths of the universe as he retrieved Eurydice from the Underworld, Orpheus surely appealed to the early opera composers and their humanist program—to recreate the moving power of an entirely sung drama by forging a new union of poetry, music, and gesture.In the history of opera, however, primacy of place must be given to the god Apollo, for the legend of Apollo and Daphne was the subject of the first favola per musica, La Dafne, written by Ottavio Rinuccini, with music composed by Jacopo Corsi and Jacopo Peri, and first performed in 1598 at Corsi's home in Florence.


1984 ◽  
Vol 10 (1) ◽  
pp. 19-39
Author(s):  
Roger D. Spegele

The history of recent efforts to establish a science of international politics may be usefully viewed as elaborate glosses on David Hume's powerful philosophical programme for resolving, reconciling or dissolving a variety of perspicuous dualities: the external and the internal, mind and body, reason and experience. Philosophers and historians of ideas still dispute the extent to which Hume succeeded but if one is to judge by the two leading ‘scientific’ research programmes1 for international politics—inductivism and naive falsificationism —these dualities are as unresolved as ever, with fatal consequences for the thesis of the unity of the sciences. For the failure to reconcile or otherwise dissolve such divisions shows that, on the Humean view, there is at least one difference between the physical (or natural) sciences. and the moral (or social) sciences: namely, that while the latter bear on the internal and external, the former are concerned primarily with the external. How much this difference matters and how the issue is avoided by the proponents of inductivism and naïve falsification is the subject matter of this paper.


2019 ◽  
pp. 83-94
Author(s):  
Jarosław Ławski

The subject matter of the present article is the image of library and librarian in a forgotten short story by a Polish-Russian writer Józef Julian Sękowski (1800−1858). Sękowski is known in Polish literature as a multi-talented orientalist and polyglot, who changed his national identity in 1832 and began to write only in Russian. In the history of Russian literature he is famous for Library for Reading and Fantastic Voyages of Baron Brambeus, an ironic-grotesque work, which was precursory in Russian prose. Until 1832 Sękowski was, however, a Polish writer. His last significant work was An Audience with Lucypher published in a Polish magazine Bałamut Petersburski (Petersburgian Philanderer) in 1832 and immediately translated into Russian by Sękowski himself under the title Bolszoj wychod u Satany (1833). The library and librarian presented by the author in this piece are a caricature illustration proving his nihilistic worldview. Sękowski is a master of irony and grotesquery, yet the world he creates is deprived of freedom and justice and a book in this world is merely a threat to absolute power.


2020 ◽  
Vol 17 (3) ◽  
pp. 377-382
Author(s):  
Dunja Fehimović ◽  
Ruth Goldberg

Carlos Lechuga’s film Santa y Andrés (2016) has enjoyed worldwide acclaim as an intimate, dramatic portrayal of the unlikely friendship that develops in rural Cuba between Andrés, a gay dissident writer, and Santa, the militant citizen who has been sent to surveil him. Declared to be extreme and/or inaccurate in its historical depictions, the film was censored in Cuba and was the subject of intense controversy and public polemics surrounding its release in 2016. Debates about the film’s subject matter and its censorship extend ongoing disagreement over the role of art within the Cuban Revolution, and the changing nature of the Cuban film industry itself. This dossier brings together new scholarship on Santa y Andrés and is linked to an online archive of some of the original essays that have been written about the film by Cuban critics and filmmakers since 2016. The aim of this project is to create a starting point for researchers who wish to investigate Santa y Andrés, evaluating the film both for its contentious initial reception, and in terms of its enduring contribution to the history of Cuban cinema.


Author(s):  
Christopher J. Berry

Examines Hume’s account of economic development as a subset of the history of civilisation, which is presented by him as a history of customs and manners. Since Hume believes that the subject matter of ‘economics’ is amenable to scientific analysis, the focus is on his employment of causal analysis and how he elaborates an analysis of customs as causes to account for social change. This is executed chiefly via an examination Hume’s Essays, though the History of England (as a test case) and the Treatise of Human Nature for its expression of Hume’s seminal analysis of causation are also incorporated.


Author(s):  
P. J. E. Peebles

This chapter discusses the development of physical sciences in seemingly chaotic ways, by paths that are at best dimly seen at the time. It refers to the history of ideas as an important part of any science, and particularly worth examining in cosmology, where the subject has evolved over several generations. It also examines the puzzle of inertia, which traces the connection to Albert Einstein's bold idea that the universe is homogeneous in the large-scale average called “cosmological principle.” The chapter cites Newtonian mechanics that defines a set of preferred motions in space, the inertial reference frames, by the condition that a freely moving body has a constant velocity. It talks about Ernst Mach, who argued that inertial frames are determined relative to the motion of the rest of the matter in the universe.


Author(s):  
Józef Wróbel

This chapter discusses the theme of Jewish martyrdom in the works of Adolf Rudnicki. Without losing sight of the universal dimensions of the theme he was taking up, Rudnicki enriches the subject-matter with characteristics that are specifically Jewish. First, the situation of Jewish society during the occupation differed from that of other nations. Jews were pushed to the very bottom of the invader's hierarchy. Their life and death depended not only on Germans but also on the aid of Poles among whom they lived, which was not always forthcoming. A second specific feature is derived from Rudnicki's chosen artistic genre, which monumentalized the suffering of Jews by including them in the biblical circle and the almost 2,000-year history of the Diaspora, the wandering and persecution with which God tries his chosen people. This problem dominated the writing of Rudnicki for at least ten years. Undoubtedly, the literary situation in the first half of the 1950s was decisive in Rudnicki's abandonment of the theme, since the subject of the war was quickly recognized as outdated. The chapter then studies occupation literature.


Author(s):  
Arthur M. Diamond

Cognitively diverse project entrepreneurs are the ones most likely to succeed at making a ding in the universe. Project entrepreneurs are more effective because they are more likely to persevere at achieving their project and at undertaking new breakthrough innovations. Cyrus Field, Marconi, Walt Disney, Sam Walton, and Steve Jobs were project entrepreneurs. Innovative entrepreneurs are likely to either know less theory, or to take theory less seriously, which allows them to try what theory says is impossible. For instance, the physics of Marconi’s day said that his radio waves should go straight into space rather than curve with the earth to cross the Atlantic. Conversely, innovative entrepreneurs often have more tacit knowledge. Innovative entrepreneurs pursue serendipitous observations or slow hunches, often through trial-and-error experiments, and may benefit from cognitive diversity, such as dyslexia and Asperger’s syndrome. What inventors and entrepreneurs know is the subject matter of the epistemology of innovation.


1961 ◽  
Vol 16 (04) ◽  
pp. 233-260
Author(s):  
T. Hugh Beech

Can the National Pension Scheme as a whole now be expected to maintain solvency? On what lines may the Scheme be expected to develop in the future? Should contracting out not have been permitted?The temptation to go into these and other fascinating questions will be resisted as far as possible; it is proposed instead to confine the subject matter of this paper reasonably closely within the area implied in the title. In order to establish the context in which the present situation has arisen, it is appropriate, however, to begin with a very brief survey of the more recent history of national and private pensions in Britain before the passing of the National Insurance Act 1959, which will be referred to henceforward simply as ‘the Act’; the situation before the Act comes into operation will similarly be referred to as ‘pre-Act’. When the Act comes into operation two new situations will arise; ‘Contracted-in’ and ‘Contracted-out’. There are thus three conditions to consider, and as far as possible when using expressions in connexion with contracting out such as saving, extra cost, etc., it will be stated whether these are by comparison with the contracted-in or pre-Act position, lack of clarity on this point having been a source of confusion in some of the literature on the subject.


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