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IARTEM E-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks
IARTEM e-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks. Ján Gunčaga & Matthias Brandl 78-90 IARTEM e-Journal Volume 10 No 1/2 Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks Ján Gunčaga & Matthias Brandl The Faculty of Education of the Comenius University in Bratislava, Slovakia & University of Passau, Germany Abstract This paper makes an excursion into the history of mathematics as presented in mathematics textbooks. We describe some components of mathematical notions in textbooks by Jakub Kresa (1648-1715) as well as some approaches to the problem solving in textbooks by Franz Močnik (1814-1892). These historical approaches are connected to modern mathematics education because many international studies, such as The Programme for International Student Assessment (PISA) support the use of problem solving and real-life problems in mathematics education. Word tasks have an important place in school mathematics. There are three important stages for solving these tasks: mathematization, calculation and interpretation of the tasks’ results. We also highlight divergent thinking in problem solving during the educational process. Key words: Historical mathematical textbook, History of education, Jakub Kresa, Franz Močnik, Mathematics, Method of generating problems, Problem solving. IARTEM e-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks. Ján Gunčaga & Matthias Brandl 78-90 78 IARTEM e-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks. Ján Gunčaga & Matthias Brandl 78-90 Resumo Este artigo faz um percurso na história da matemática apresentada em livros de ma- temática. -
Chinese Science Through the Eyes of a 18Th Century Missionary
Karel Slavíček, SJ and his correspondence from China with European astronomers and other scholars Vladimír LIŠČÁK1 Abstract Karel Slavíček, SJ (Chinese name: 嚴嘉樂, 1678–1735) was a Jesuit missionary to Chinese Empire, and in the same time the mathematician, astronomer and musician, coming from the Czech Crown lands. He was one of the eight Jesuits of the old Bohemian province of this Order who have reached China. His letters from China (1716 to 1735) are an ample source of his observation of the life and customs in China, and, being himself a scientist, also of Chinese science. Slavíček’s correspondence can be divided into two parts: 1) letters to his homeland (to Brno and to Prague) (1716 to 1727); 2) his correspondence with the European scholars (Prémare, Souciet, T. S. Bayer, Delisle) (1723 to 1735) These letters in Czech translation, together with their originals (mostly in Latin), were published, for the first time, in 1995. This edition was later translated into Chinese and published in 2002 in Beijing. Keywords: Jesuit missionaries to China, Karel Slavíček, correspondence 1 Vladimír Liščák, PhD, Oriental Institute of the Czech Academy of Sciences, Prague, Czech Republic. [email protected] 1 Slavíček in the eyes of his contemporaries A Catholic priest, Jesuit missionary in China, Karel Slavíček, SJ (in Latin: Carolus Slaviček, Slavizek, Slaviczek, Slawicek etc.2, Chinese name: 嚴嘉樂 Yán Jiālè3) (b. 24 December 1678, Jimramov, Moravia/Czech Crown lands, d. 24 August 1735, Beijing, China) was one of eight Jesuits (SJ) of the old Bohemian province4 of this Order who have reached China. -
SEZNAM VĚDECKÝCH a ODBORNÝCH PRACÍ Aleše LEBEDY
SEZNAM VĚDECKÝCH A ODBORNÝCH PRACÍ Aleše LEBEDY LIST OF Aleš LEBEDA PUBLICATIONS ___________________________________________________________________ Lebeda, A.: Studium fyzikálně-mechanických vlastností plodů (Study of physical-mechanical properties of fruits). Diplomová práce, Vysoká škola zemědělská v Brně, Fakulta agronomická, Lednice na Moravě 1975, 193 s. (Diploma Thesis, Agricultural University in Brno, Faculty of Agronomy, Lednice na Moravě 1975, 193 pp.) 1. Goliáš, J., Lebeda, A.: Mechanicko - fyzikální vlastnosti a látkové složení během ontogeneze plodů rajčat. I. Změny intenzity dýchání ve vztahu k látkovému složení (Mechanical-physical properties and composition of contained substances in tomato fruits during ontogenesis. I. Variations in respiration rates related to composition of contained substances). Acta Univ. Agr. (Brno), Facul. Agr. XXIV, 1976, 109-113. 2. Goliáš, J., Lebeda, A.: Mechanicko - fyzikální vlastnosti a látkové složení během ontogeneze plodů rajčat. II. Vliv doby sklizně na pevnost plodu, tloušťku slupky a specifickou hmotnost (Mechanical-physical properties and composition of contained substances in tomato fruits during ontogenesis. II. Effect of cropping time on fruit strength, rind thickness and specific weigth). Acta Univ. Agr. (Brno), Facul. Agr. XXIV, 1976, 277-287. 3. Lebeda, A., Goliáš, J.: Mechanicko - fyzikální vlastnosti a látkové složení během zrání plodů rajčat (Mechanical-physical properties and chemical composition of tomato fruit during ripening). Symposium "Quality of Vegetables and Fruit", Piešťany 1977 (Abstracts of papers). 4. Lebeda, A.: Testování na rezistenci - nezbytná součást šlechtitelského programu (Testing for resistance - a necessary step in a breeding programme). Záhradníctvo 2, 1977, 409-411. 5. Lebeda, A., Goliáš, J.: Co ovlivňuje zrání rajčat (What affects tomato ripening). Záhradníctvo 3, 1978, 260-262. 6. Lebeda, A.: Plíseň salátová - problém pěstitelů a šlechtitelů (I) (Lettuce downy mildew - a problem encountered by lettuce growers and breeders /I/). -
Divisible Atoms Are Not Atoms
Acta Baltica HistoriaeDivisible et Philosophiae Atoms Are S Ncientiarumot Atoms Vol. 6, No. 1 (Spring 2018 ) DOI : 10.11590/abhps.2018.1.03 Divisible Atoms Are Not Atoms Stanislav Južnič Dunajska 83, Ljubljana 1000, Slovenia E-mail: [email protected] Abstract: The aim of the article is to help change the self-contradictory term ‘atom’. In this project, the support of modern Chinese scientists is expected. The contributions of Chinese to some researches in sciences are focused on finding out the preferences and most frequent stages of (European) paradigms involved in Chinese networks. Some predictions of future interests of Chinese sciences are provided. The Chinese holistic Confucian distrust in atoms is discussed as a possible new paradigm which could rename atoms as the destructible divisible entities of future physics, and with more difficulties also of chemistry. The word ‘atom’ meaning an indivisible not a compound entity is basically in contradiction with the characteristics of the item it is supposed to describe. The suffix ‘a (ἄ)’ provides a negation in Ancient Greek language. The suffix should be omitted to use tom (τομος) to manage the actual situation of a-toms (toms) as compound of elementary particles. In the late 19th century after the European Spring of Nations, two basically different concepts of atoms of chemists and physicists accomplished a kind of symbiosis. The suggestion is put forward that while indivisible atoms soon became contradictions in physics, they still retain some value in chemistry, which should be important for the panning strategy of attempt to change the name of atom. Keywords: 17th–18th centuries, China, Confucian distrust in atoms, history of chemistry, history of exact sciences, Jesuits, scientific-industrial revolutions Acta Baltica Historiae et Philosophiae Scientiarum 55 Vol. -
Matematika V Jezuitském Klementinu V Letech 1600–1740
Matematika v jezuitském Klementinu v letech 1600–1740 Karel Mačák Matematické spisy vzniklé v Klementinu In: Karel Mačák (author); Georg Schuppener (author): Matematika v jezuitském Klementinu v letech 1600–1740. (Czech). Praha: Prometheus, 2001. pp. 69–179. Persistent URL: http://dml.cz/dmlcz/401148 Terms of use: © Mačák, Karel © Schuppener, Georg Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz 69 Karel Mačák: Matematické spisy vzniklé v Klementinu 70 Matematické spisy vzniklé v Klementinu 5 Přehled matematických spisů vzniklých v Klementinu 5.1 Úvod Chceme-li se věnovat matematickým spisům vzniklým v pražském Klementinu, musíme nejprve říci, co budeme pod tímto pojmem rozumět. Budeme se zabývat dvěma druhy spisů: rukopisy a tištěnými pracemi. Pokud se termínu „rukopisÿ týče, lze pod tímto pojmem chápat jednak svazek označený jako celek nějakou signaturou, tyto svazky však často představují konvoluty slo- žené z několika jednotlivých rukopisů. V této práci budeme používat termínu „rukopisÿ převážně v prvním uvedeném významu; budeme-li chtít výslovně upo- zornit na význam druhý, budeme mluvit o části rukopisu. U rukopisů lze málokdy zcela jednoznačně zodpovědět otázky autorství, data a místa vzniku. Zde se budeme zabývat (až na dvě výjimky) pouze takovými rukopisy, u kterých je z údajů uvedených v rukopisu zřejmé, že vznikly aspoň zčásti v pražském Klementinu; ony dvě výjimky představují dva rukopisy, které do klementinské knihovny přešly z jezuitského profesního domu na Malé Straně. -
Proceedings of Cucurbitaceae 2004 the 8Th EUCARPIA
European Association for Research on Plant Breeding Progress in Cucurbit Genetics and Breeding Research Proceedings of Cucurbitaceae 2004, the 8th EUCARPIA Meeting on Cucurbit Genetics and Breeding July 1217, 2004 Olomouc, Czech Republic A. Lebeda and H.S. Paris Editors Palacký University in Olomouc Czech Republic 2004 1 Editors: Ale Lebeda and Harry S. Paris Title: Progress in Cucurbit Genetics and Breeding Research Subtitle: Proceedings of Cucurbitaceae 2004, the 8th EUCARPIA Meeting on Cucurbit Genetics and Breeding Olomouc, Czech Republic, 1217 July, 2004 Organizing institution: Palacký University, Faculty of Science, Department of Botany, lechtitelù 11, 783 71 Olomouc, Czech Republic Executive redactor: Ale Lebeda Technical redactor: Pavel Rajtr Front and back cover: Designed by Eva Køístková, Ale Lebeda, Pavel Rajtr Front cover: Echinocystis lobata (Michx) Torrey et A.Gray (Cucurbitaceae), native in the North America, introduced and domesticated in some areas of the Cent- ral- and South-Eastern Europe, sparingly cultivated in home gardens as a fast growing ornamental plant, covering fences and alcoves (Flora of the Czech Republic, Part 2. Academia, Praha, 1990, p. 450). Plant from the herbal (lo- cation Horní Pìna (discrict Jindøichùv Hradec), South Bohemia, Czech Re- public, 1993). Back cover: Cucumber called Citruli. Mattioli, P.A.: Herbal (1596). Number of pages: 558 Publisher: Palacký University in Olomouc Olomouc 2004, Czech Republic Print: JOLA, v.o.s., Bezruèova 53, 798 41 Kostelec na Hané, Czech Republic, tel., fax: +420-582 373 683, E-mail: [email protected] First edition ISBN 80-86636-04-6 2 Motto: Science sans conscience n´est que ruine de l´ âme François Rabelais (1495-1553) Science without conscience is just a ruin of the soul François Rabelais (1495-1553) 3 4 Contents Foreword 13 Acknowledgements 15 Introduction (A. -
A Contribution to the History of Astronomy in Olomouc
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica Jaromír Široký A contribution to the history of astronomy in Olomouc Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, Vol. 12 (1972), No. 1, 335--340 Persistent URL: http://dml.cz/dmlcz/119993 Terms of use: © Palacký University Olomouc, Faculty of Science, 1972 Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://project.dml.cz ACTA UNIVERSITATIS PALACKIANAE OLOMUCENSIS FACULTAS RERUM NATURALIUM - TOM 37 Katedra teoretické fyziky a astronomie přírodovědecké fakulty Vedoucí katedry: prof. RNDr. Bedřich Havelka, doktor věd A CONTRIBUTION TO THE HISTORY OF ASTRONOMY IN OLOMOUC JAROMÍR ŠIROKÝ (Received March 29th, 1971) Abstract This paper contains a short history of astronomical activity at the Jesuit University (1573—1773) and the State University (1773—1860) in Olomouc. The university consisted of several colleges but since the second half of 19th century one after another was closed until finally no one was left with exception of the Faculty of Theology. After the World War II the University of Olomouc has been reestablished under the name Palacky University. There are now four faculties — Medicine, Natural Sciences, Philosophy and Pedagogy. 1. Introduction Olomouc1) is first mentioned in Kosmas5 Chronicle in 1055, but the town was founded some time before. -
4 Bibliografia170.Indd
ARCHIVUM HISTORICUM SOCIETATIS IESU VOL. LXXXV, FASC. 170 2016/II Articles Christoph Sander, Early-Modern Magnetism: Uncovering New Textual Links between Leonardo Garzoni SJ (1543–1592), Paolo Sarpi OSM (1552–1623), Giambattista Della Porta (1535– 1615), and the Accademia dei Lincei 303 Elisa Frei, The Many Faces of Ignazio Maria Romeo SJ (1676– 1724?), Petitioner for the Indies: A Jesuit Seen through his Litterae Indipetae and the Epistulae Generalium 365 Wenceslao Soto Artuñedo SJ, El deseo de las Indias: las cartas indípetas de Alonso de Barzana SJ (1530–1598) 405 Bibliography (Paul Begheyn SJ) 445 Book Reviews R.A. Maryks, Exploring Jesuit Distinctiveness (M.G. Genghini) 553 A. Forrestal - S.A. Smith, The Frontiers of Mission (R. Clines) 556 S-s. Li - T. Meynard, Jesuit Chreia in Late Ming China (G. Falato) 558 F. Fechner, Entscheidungsprozesse vor Ort (E. Schmid Heer) 561 R. Gaune Corradi, Escritura y salvación (E. Valenzuela Avaca) 566 C. Fluke, Die litterae annuae (M. Pillat SJ) 570 M. Miazek-Męczyńska, Indipetae Polonae (R. Danieluk SJ) 573 O.S. Damian, Antonio Possevino e la Transilvania (P. Oberholzer SJ) 578 P.M. Daly - G.R. Dimler, The Jesuit Emblem (R. De Marco) 580 E. Fontana Castelli, Marianna d’Asburgo Lorena (E. Rai) 584 L. Salviucci Insolera, San Camillo de Lellis (A. Petraccia) 588 D. Cosacchi - E. Martins, The Berrigan Letters (C. Staysniak) 592 J.T. McGreevy, American Jesuits and the World (C. Barr) 596 T. Bartók, Le père Louis Lallemant (S. Mostaccio) 599 Notes and News in Jesuit History 601 Bibliography on the History of the Society of Jesus 2016 Paul Begheyn SJ I am grateful to the following persons who have helped me in putting together this bibliography: Nicoletta Basilotta (Roma), Clemens Brodkorb (Munich), Ad Dudink (Louvain), José Garcia de Castro SJ (Madrid), Dominique Gonnet SJ (Lyon), Miroslav Herold SJ (Olomouc), Yannick van Loon (Louvain), Luís González-Quevedo SJ (Indaiatuba, Brasil), Nicolas Standaert SJ (Louvain), and Gabriel M. -
Matematika V Jezuitském Klementinu V Letech 1600–1740
Matematika v jezuitském Klementinu v letech 1600–1740 Literatura In: Karel Mačák (author); Georg Schuppener (author): Matematika v jezuitském Klementinu v letech 1600–1740. (Czech). Praha: Prometheus, 2001. pp. 180–185. Persistent URL: http://dml.cz/dmlcz/401149 Terms of use: © Mačák, Karel © Schuppener, Georg Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz 180 Matematické spisy vzniklé v Klementinu Reference [Ars] Aristoteles: O nebi. O vzniku a zániku. Pravda, Bratislava 1985. [AS] Analysis speciosa ... a R. P. Jacobo Kresa. In: Acta eruditorum 1721, 137-140. [B4] Beránek, K.: Mistři, bakaláři a studenti pražské filozofické fakulty 1640 - 1654. Monographia Miscellanea, sv. VI. Národní knihovna ČR, Praha 1998. [Beč] Bečvář, J.: Algebra v 16. a 17. století. In: Matematika v 16. a 17. sto- letí. (Dějiny matematiky sv. 12). Eds. J. Bečvář - E. Fuchs. Prometheus, Praha 1999, 161-235. [Ber] Bernoulli, Jakob: Ars conjectandi. Basileae 1713. (Německý překlad Lipsko 1899). [BLW] Biggs, N. L. - Lloyd, E. K. - Wilson, J. R.: The history of combi- natorics. In: Graham, M. - Grötschel, M. - Lovacz, L. (Eds.): Handbook of combinatorics. Elsevier Sci., Amsterdam 1995. [BM] British Museum: General catalogue of printed books to 1955. Compact edition. Readex Microprint Corp., New York 1967. [Boe] Boethius, A. M. S.: Opera omnia. Basileae, 1570. [Br] Braunmühl, A. von: Vorlesungen über Geschichte der Trigonometrie.