scholarly journals Notes on the historical conceptual streams for mathematics and physics teaching

2013 ◽  
Vol 54 ◽  
Author(s):  
Raffaele Pisano

Based on recent researches of mine concerning history and epistemology of sciences (physics and mathematics) one side and foundations of sciences within my physics and mathematics teaching other side, in this paper I briefly discuss and report the role played by history of science within physics and mathematics teaching. Some case-study on the relationship between mathematics, physics and logics in the history and teaching process are presented, as well.

Author(s):  
Yiftach Fehige

Thought experiments are basically imagined scenarios with a significant experimental character. Some of them justify claims about the world outside of the imagination. Originally they were a topic of scholarly interest exclusively in philosophy of science. Indeed, a closer look at the history of science strongly suggests that sometimes thought experiments have more than merely entertainment, heuristic, or pedagogic value. But thought experiments matter not only in science. The scope of scholarly interest has widened over the years, and today we know that thought experiments play an important role in many areas other than science, such as philosophy, history, and mathematics. Thought experiments are also linked to religion in a number of ways. Highlighted in this article are those links that pertain to the core of religions (first link), the relationship between science and religion in historical and systematic respects (second link), the way theology is conducted (third link), and the relationship between literature and religion (fourth link).


Author(s):  
Suelen Aparecida Felicetti ◽  
Ana Lúcia Crisostimo ◽  
Sandro Aparecido Dos Santos

ResumoEste artigo apresenta os resultados de uma pesquisa realizada junto a pós-graduandos de um programa de mestrado profissional na área de Ensino de Ciências Naturais e Matemática de uma instituição pública do Estado de Paraná. O objetivo foi analisar como os pós-graduandos relacionavam cada período histórico da humanidade à evolução da ciência, desde sua gênese até a modernidade. Como metodologia foi proposta a realização de uma sistematização a respeito da ciência na história, embasada nos conhecimentos assimilados durante uma disciplina de História da Ciência, que foi componente curricular do referido mestrado. Percebeu-se principalmente que os pós-graduandos sistematizaram suas ideias em concordância com os acontecimentos principais característicos de cada período histórico, o que mostra que assimilaram conhecimentos durante a disciplina cursada. A importância dessas percepções se refere a disseminação da ciência como uma construção humana de evolução constante, portanto, passível de refutações e acréscimos. Palavras-chave: História da ciência; Avaliação; Formação de professores; Pós-graduação.AbstractThis article presents the results of a research implemented with postgraduates students of a professional master's course in the area of Natural Sciences and Mathematics Teaching, in a public institution of the Paraná state. The objective of the research, was to analyze how the post-graduates students related each historical period of humanity with the evolution of science, from its genesis until the modernity. The methodology used was a textual systematization made by the postgraduates, about the science in history, based on the knowledges assimilated during a course of history of science, which was a curricular component of the mentioned master's course. It was mainly noticed, that the postgraduates students systematized their ideas in agreement with the main scientifically events accepted as characteristics of each historical period, which shows that they assimilated the knowledges during the discipline studied. The importance of these perceptions refers to the dissemination of science as a human construction, in constant evolution, therefore, subject to refutations and additions.Keywords: History of science; Evaluation; Teacher training; Postgraduate.


Author(s):  
Wagner Tadeu Jardim ◽  
Andreia Guerra ◽  
Hermann Schiffer

2020 ◽  
Vol 3 (1) ◽  
pp. 266-282
Author(s):  
Niccolò Guicciardini

AbstractRobert Hooke’s theory of gravitation is a promising case study for probing the fruitfulness of Menachem Fisch’s insistence on the centrality of trading zone mediators for rational change in the history of science and mathematics. In 1679, Hooke proposed an innovative explanation of planetary motions to Newton’s attention. Until the correspondence with Hooke, Newton had embraced planetary models, whereby planets move around the Sun because of the action of an ether filling the interplanetary space. Hooke’s model, instead, consisted in the idea that planets move in the void space under the influence of a gravitational attraction directed toward the sun. There is no doubt that the correspondence with Hooke allowed Newton to conceive a new explanation for planetary motions. This explanation was proposed by Hooke as a hypothesis that needed mathematical development and experimental confirmation. Hooke formulated his new model in a mathematical language which overlapped but not coincided with Newton’s who developed Hooke’s hypothetical model into the theory of universal gravitation as published in the Mathematical Principles of Natural Philosophy (1687). The nature of Hooke’s contributions to mathematized natural philosophy, however, was contested during his own lifetime and gave rise to negative evaluations until the last century. Hooke has been often contrasted to Newton as a practitioner rather than as a “scientist” and unfavorably compared to the eminent Lucasian Professor. Hooke’s correspondence with Newton seems to me an example of the phenomenon, discussed by Fisch in his philosophical works, of the invisibility in official historiography of “trading zone mediators,” namely, of those actors that play a role, crucial but not easily recognized, in promoting rational scientific framework change.


2021 ◽  
Vol 22 (6) ◽  
pp. 1072-1097
Author(s):  
Atina Krajewska

AbstractThis article examines the relationship between reproductive rights, democracy, and the rule of law in transitional societies. As a case study, it examines the development of abortion law in Poland. The article makes three primary claims. First, it argues that the relationship between reproductive rights and the rule of law in Poland came clearly into view through the abortion judgment K 1/20, handed down by the Constitutional Tribunal in the middle of the COVID-19 pandemic. The judgment and the context in which it was issued and published are interpreted as reflections of deep-lying processes and problems in Polish society. Consequently, second, the article argues that analysis of the history of reproductive rights in recent decades in Poland reveals weak institutionalization of the rule of law. This is manifest in the ways in which different professional groups, especially doctors and lawyers, have addressed questions regarding abortion law. Therefore, third, the article argues that any assessment of the rule of law should take into account how powerful professional actors and organizations interact with the law. The Polish case study shows that reproductive rights should be seen as important parts of a “litmus test,” which we can use to examine the efficacy of democratic transitions and the quality of the democracies in which such transitions result.


2020 ◽  
Vol 24 ◽  
Author(s):  
Wagner Rodrigues Valente ◽  
Maria Célia Leme da Silva

Abstract This article discusses results from research developed on the transformations in mathematics teaching in primary school and the mathematics in teacher training from the 19th century to the mid-20th century in Brazil. We have analyzed the understanding of the relationship between the mathematical disciplinary field and pedagogy in order to confirm the theoretical hypothesis that the interactions between the two fields produce mathematics of different natures, which are interconnected.


2018 ◽  
Vol 8 (1) ◽  
pp. 108-133 ◽  
Author(s):  
Jessica DeLisi

AbstractThis paper examines the relationship between typology and historical linguistics through a case study from the history of Armenian, where two different stress systems are found in the modern language. The first is a penult system with no associated secondary stress ([… σ́σ]ω). The other, the so-called hammock pattern, has primary stress on the final syllable and secondary stress on the initial syllable of the prosodic word ([σ̀ … σ́]ω). Although penult stress patterns are by far more typologically common than the hammock pattern in the world’s languages, I will argue that the hammock pattern must be reconstructed for the period of shared innovation, the Proto-Armenian period.


Author(s):  
Daniel Roy Pearce ◽  
Mayo Oyama ◽  
Danièle Moore ◽  
Kana Irisawa

This contribution attempts to clarify the relationship between the practice of plurilingual education and STEAM (interdisciplinary pedagogy that incorporates science, technology, engineering, art, and mathematics) through the lens of peace learning at an elementary school in Japan. Japan has a rich history of peace education, although it has received limited focus in the international literature, whereas plurilingual education remains relatively unknown in the country. Within this context, the article examines a teacher-initiated plurilingual and intercultural project focused on a multidisciplinary approach to peace learning. Analyses of multimodal data, including video recordings, photographs, researchers' field notes, learners' journals, and semi-structured reflective interviews, will demonstrate how even within a highly homogenous context, practitioners can promote transferable skills and nurture a deeper awareness of language and openness to diversity, foster reflexivity, and encourage multidisciplinary engagement through plurilingual education, dialogue, and storying.


2021 ◽  
pp. 70-98
Author(s):  
Stathis Psillos

This chapter looks into the transition from the Cartesian natural philosophy to the Newtonian one, and then to the Einsteinian science, making the following key point: though the shift from Descartes’s theory to Newton’s amounted to a wholesale rejection of Descartes’s theory, in the second shift, a great deal was retained; Newton’s theory of universal gravitation gave rise to a research program that informed and constrained Einstein’s theory. Newton’s theory was a lot more supported by the evidence than Descartes’s and this made it imperative for the successor theory to accommodate within it as much as possible of Newton’s theory: evidence for Newton’s theory became evidence for Einstein’s. This double case study motivates a rebranding of the “divide et impera” strategy against the pessimistic induction introduced in the book Scientific Realism, which shifts attention from the (crude) evidence of the history of science to the (refined) history of evidence for scientific theories.


Author(s):  
Staffan Müller-Wille

This article explores what both historians of medicine and historians of science could gain from a stronger entanglement of their respective research agendas. It first gives a cursory outline of the history of the relationship between science and medicine since the scientific revolution in the seventeenth century. Medicine can very well be seen as a domain that was highly productive of scientific knowledge, yet in ways that do not fit very well with the historiographic framework that dominated the history of science. Furthermore, the article discusses two alternative historiographical approaches that offer ways of thinking about the growth of knowledge that fit well with the cumulative and translational patterns that characterize the development of the medical sciences, and also provide an understanding of concepts such as ‘health’ and ‘life’.


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