Relevant bibliographies by topics / Pythagoras and the Pythagorean school

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Pythagoras and the Pythagorean school'

Author: Grafiati
Published: 4 June 2021
Last updated: 28 July 2025

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Journal articles on the topic "Pythagoras and the Pythagorean school"

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Zhmud, Leonid. "What is Pythagorean in the Pseudo-Pythagorean Literature?" Philologus 163, no. 1 (2019): 72–94. http://dx.doi.org/10.1515/phil-2018-0003.

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AbstractThis paper discusses continuity between ancient Pythagoreanism and the pseudo-Pythagorean writings, which began to appear after the end of the Pythagorean school ca. 350 BC. Relying on a combination of temporal, formal and substantial criteria, I divide Pseudopythagorica into three categories: 1) early Hellenistic writings (late fourth – late second centuries BC) ascribed to Pythagoras and his family members; 2) philosophical treatises written mostly, yet not exclusively, in pseudo-Doric from the turn of the first century BC under the names of real or fictional Pythagoreans; 3) writing
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Nurafni, Nurafni, Asih Miatun, and Hikmatul Khusna. "PROFIL PEMAHAMAN KONSEP TEOREMA PYTHAGORAS SISWA BERDASARKAN PERBEDAAN GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD." KALAMATIKA Jurnal Pendidikan Matematika 3, no. 2 (2018): 175–92. http://dx.doi.org/10.22236/kalamatika.vol3no2.2018pp175-192.

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This research is a descriptive qualitative approach which aims to describe profile of understanding of pythagoras theorem concept of students based on the difference of field independent and dependent cognitive style. The subjects of this study are 9th grade students of junior secondary school. Subject determination is done using GEFT instrument and mathematics teacher’s consultation, then continued by giving concept comprehension test on Pythagorean theorem material and interview. Checking the validity of data is done by time’s triangulation. The results showed that student: 1) states the mea
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Duarte, Carlos Lisboa, Hegildo Holanda Gonçalves, and Nádia Pinheiro Nobrega. "Tudo é número: uma análise conceitual da ideia de número em Pitágoras." Revista Principia - Divulgação Científica e Tecnológica do IFPB 1, no. 33 (2017): 99. http://dx.doi.org/10.18265/1517-03062015v1n33p99-107.

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<p>This work is an analysis of the number concept based on the thoughts of Pythagoras, well as to seek an approximation of the historical reflections of the Pythagorean School in the Greek context of Classical Antiquity. The guiding objective of the study is to analyze the theory of the integers in the Pythagorean philosophy as ultimate cause of man and matter. From Methodological procedures point of view, the research was the bibliographical type, developed from already published material constituted, primarily, of books and journal articles through which we sought a dialogue with the d
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Turenko, Vitalii. "VISION OF WOMEN IN CONTEXT APPEARANCES AND FUNCTIONING OF THE PYPHAGORIAN SCHOOL." Sophia. Human and Religious Studies Bulletin 16, no. 2 (2020): 54–57. http://dx.doi.org/10.17721/sophia.2020.16.11.

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The article, based on classical ancient sources and the most modern fundamental scientific works, explores and reveals the specifics of the existence of women in the early Greek philosophical school, founded by Pythagoras. There are three key reasons that led to the full existence of women along with men in the Pythagorean tradition: socio-political, doctrinal and vital. Accordingly, such a high status of women for the Pythagoreans is due not only to certain socio-political conditions of Greater Greece, or rather even the city of Croton, but also to the fact that the founder of this school, Py
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Elfariana, Rizma, Nyimas Aisyah, and Ely Susanti. "Development of Interactive Electronic Student Worksheets on Pythagorean Theorem Material to Support Students' Mathematical Reasoning in Junior High Schools." Kreano, Jurnal Matematika Kreatif-Inovatif 15, no. 1 (2024): 306–18. https://doi.org/10.15294/kvzmpe80.

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This study aims to develop Electronic Learner Worksheets (LKPD) or interactive E-LKPD on Pythagorean theorem material that meets valid, practical, and effective criteria. This development research was conducted at SMP Negeri 1 Parittiga with the research subjects of class VIII B students totaling 22 people. This research uses the RnD method with the Tessmer model which consists of two stages, namely preliminary studies and formative evaluation. This research is since there are still many secondary school students who have low mathematical reasoning skills on geometry topics, including the Pyth
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Farman, Farman, and Chairuddin Chairuddin. "PENGEMBANGAN MEDIA E-LEARNING BERBASIS EDMODO PADA MATERI TEOREMA PYTHAGORAS." AKSIOMA: Jurnal Program Studi Pendidikan Matematika 9, no. 4 (2020): 872. http://dx.doi.org/10.24127/ajpm.v9i4.3114.

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Penelitian ini bertujuan untuk menyusun dan memperoleh media e-learning berbasis edmodo pada materi pythagoras yang valid, praktis dan efektif bagi peserta didik kelas VIII SMP-TQ Muadz Bin Jabal Kendari. Pembelajaran matematika berbasis e-learning menggunakan edmodo dipilih sebagai media alternatif dalam meningkatkan minat dan hasil belajar pada materi pythagoras. Pengembangan e-learning ini dikembangkan dengan model ADDIE yang terdiri atas beberapa langkah, yaitu: (1) analysis (2) design (3) development, (4) implementation dan (5) evaluation. Subyek uji coba dalam penelitian pengembangan ini
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Wares, Arsalan. "Pythagoras Meets Paper Folding." Mathematics Teacher 111, no. 5 (2018): 400. http://dx.doi.org/10.5951/mathteacher.111.5.0400.

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One of the most well-known theorems in mathematics, the Pythagorean theorem and its proof are a standard part of the school mathematics curriculum. The theorem is named for Pythagoras, a Greek mathematician and philosopher, born around 570 BCE. More than 400 proofs of the theorem exist, and this number continues to grow (Maor 2007). A future American president, James Garfield, generated an original proof five years before being elected; another proof is credited to twelve-year-old Einstein.
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Mardianti, Denisa, and Etika Khaerunisa. "ANALISIS MISKONSEPSI SISWA SMP PADA TEOREMA PYTHAGORAS MENGGUNAKAN FOUR TIER CERTAINTY OF RESPONSE INDEX (FTCRI)." AL KHAWARIZMI: Jurnal Pendidikan Matematika 4, no. 2 (2024): 10–17. https://doi.org/10.46368/kjpm.v4i2.2330.

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Abstrak: Penelitan ini bertujuan untuk menganalisis miskonsepsi yang sering terjadi pada siswa SMP dalam memahami konsep teorema pythagoras menggunakan Four Tier Certainty of Response Index (FTCRI). Jenis penelitian pada penelitian ini adalah studi kasus dan bersifat deskriptif. subjek penelitian adalah siswa kelas VIII-I SMPN 7 Kota Serang dan dipilih sebanyak 6 siswa yang mengalami miskonsepsi berdasarkan hasil tes FTCRI. Instrumen penelitian berupa tes diagnostik four-tier dengan CRI yang disusun berdasarkan kurikulum merdeka. Data penelitian diolah berdasarkan kombinasi jawaban siswa pada
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Arifn, Muhammad Syamsul. "Misconceptions of student junior high school in Solving Pythagorean Theorem." MATHEdunesa 9, no. 2 (2020): 461–67. http://dx.doi.org/10.26740/mathedunesa.v9n2.p461-467.

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The learning process in the classroom is said to be successful, if most students understand the concepts conveyed by the teacher. But, in the learning process, teacher found stundents has misconception. Misconceptions gotten by students, will affect students in the use of a concept between concepts in the mathematic. Identification misconception is one way to learning process get successful.
 The purpose of this research was for describe the misconception and the solution of student’s misconception of class IX Junior High School 2 Sedati Sidoarjo at the solve the problem of Pythagorean Th
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Erovenko, V. A., and N. V. Michailova. "Pythagoras's role and his schools in philosophical ideal of new mathematical knowledge." Mathematical structures and modeling, no. 4 (2022): 129–39. http://dx.doi.org/10.24147/2222-8772.2022.4.129-139.

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The article considers the philosophical and historical analysis of formation of a new ideal of Pythagoras's mathematics and his school. The most important scientific merit of Pythagoras is systematic introduction of the proof to the Greek mathematics. On the basis of the provision on organic relationship and essential proximity of mathematical and philosophical knowledge Pythagoreans considered mathematics and philosophy complete and indiscernible knowledge.
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Dissertations / Theses on the topic "Pythagoras and the Pythagorean school"

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Batal, Jamil, and Daniel Marklund. "Kan du bevisa det? : En enkätstudie av gymnasielärarens förhållningssätt till matematiska bevis." Thesis, Mälardalens högskola, Akademin för utbildning, kultur och kommunikation, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-15095.

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Practice of mathematical proof increase the understanding of mathematics anddevelop creativity skills, problem solving, communication, logical thinking andreasoning which are all important tools not only within the subject of mathematicsbut also important tools for the society in which we are living. The aim of this projectwas to investigate whether it is accurate that proof and proving has a subordinate rolein mathematic education in the upper secondary school in Sweden. This was done byconstructing of a digital survey that was sent to approximately 100 practicingmathematics teachers in a nor
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Nordheimer, Swetlana. "Beziehungshaltigkeit und Vernetzungen im Mathematikunterricht der Sekundarstufe I." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2014. http://dx.doi.org/10.18452/16922.

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Die Notwendigkeit einer Untersuchung über Beziehungshaltigkeit und Vernetzungen im Mathematikunterricht ergibt sich einerseits aus den aktuellen bildungspolitischen Forderungen, andererseits aus den reichhaltigen bildungsphilosophischen Traditionen im deutschsprachigem Raum(KMK 2012, 11). Das Ziel der vorliegenden Arbeit besteht vor allem in der Reflexion von Beziehungshaltigkeit und Vernetzungen im Mathematikunterricht. Diese Reflexion ist durch drei Fragen bestimmt: Was kann man als Lehrer über Beziehungshaltigkeit wissen? Wie kann man als Lehrer handeln, so dass die Schüler Beziehungen zwis
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Viltanioti, Irini Fotini. "De l'omphalos de la Terre à la cité céleste d'Apollon: études sur la doctrine de la Tétractys dans le pythagorisme ancien." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210038.

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La doctrine pythagoricienne de la Tétractys est sans doute une des questions les plus délicates de l’histoire de la philosophie. Elle représente non seulement une des théories essentielles de l’arithmologie, mais aussi, ainsi que la doxographie ancienne en témoigne, « le plus grand secret et le fondement de la philosophie pythagoricienne ». Armand Delatte, dans ses classiques Etudes sur la littérature pythagoricienne, a souligné l’importance véhiculée par ce philosophème. Dans la première partie, « méthodologique », de notre étude, nous traitons du lien entre Platon et la pensée pythagoricienn
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Spyrou, Panagiotis, Andreas Moutsios-Rentzos, and Dimos Triantafyllou. "Teaching for the objectification of the Pythagorean Theorem." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-80973.

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This study concerns a teaching design with the purpose to facilitate the students’ objectification of the Pythagorean Theorem. Twelve 14-year old students (N=12) participated in the study before the theorem was introduced to them at school. The design incorporated ideas from the ‘embodied mind’ framework, history and realistic mathematics, linking ‘embodied verticality’ with ‘perpendicularity’. The qualitative analyses suggested that the participants were led to the conquest of the ‘first level of objectification’ (through numbers) of the Pythagorean Theorem, showing also evidence of appropria
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Cornelli, Gabriele. "Em busca do pitagorismo: o pitagorismo como categoria historiográfica." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/8/8133/tde-25022011-104305/.

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A presente tese explora, como solução para o controvertido quadro geral da moderna história da crítica sobre Pitágoras e seu movimento, a definição do pitagorismo como categoria historiográfica. Superando tanto o dilema entre ceticismo e confiança nas fontes, como a pretensão de alcançar uma única chave hermenêutica que permita resolver a questão pitagórica, procura percorrer a história da tradição em busca de uma imagem suficientemente plural a ponto de possibilitar a compreensão do pitagorismo em sua irredutível articulação de bíos e theoría e não apesar dela. A configuração da comunidade e
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"Progress towards the synthesis of Indolizidine alkaloid 223AB." Thesis, 2008. http://hdl.handle.net/10413/167.

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It has been shown that alkaloids from various sources are vital as lead compounds in medicinal research and thus also the efficient synthesis of these. With the goal of developing a general synthetic route that can potentially access pyrrolizidine, indolizidine, quinolizidine and possibly lehmizidine alkaloid skeletons, a modified route that has been shown to produce pyrrolizidines was employed towards the synthesis of indolizidine alkaloid 223AB. Within this synthesis, a 6-endo-dig hydroamination-cyclization step was attempted for construction of the bicyclic system. For this purpose, a selec
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LIN, HUA-CHIEN, and 林華倩. "Effects of a Step-Prompting with E-Learning on Junior High School Students’ Math Learning Performances-Pythagorean Theorem for Example." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/ny3zks.

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碩士<br>國立臺北教育大學<br>數學暨資訊教育學系碩士班<br>107<br>Nowadays, integrating information technology into education draws more and more attention. The courses of information technology even became a core course in the curriculum guidelines 108. To help students integrate with this information based society, have the capability to apply information technology to problem solving, and promote their learning effectiveness , more and more teachers gradually start integrating technology into their instructional strategies and the curriculum. Some researchers claim that among lots of learning strategies, giving clu
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Liu, Tsung-Yun, and 劉從雲. "Integrating Multi-media and E-learning Platform to the Remedy Teaching for Mathematic: Taking “Pythagorean Theorem” in Junior High School as an Example." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/r896y4.

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碩士<br>育達科技大學<br>資訊管理所<br>103<br>The government has started to promote the “Hand-in-Hand Project- After-School Remedial Program” since 2006, aiming to provide diverse and adaptive learning opportunities for the elementary and junior high school students with poor academic performance. Besides, to respond to Twelve-year National Fundamental Education to be officially launched in August, 2014, it has fully promoted the remedial teaching screening and growth test since 2011, to reduce the gap of the students with poor academic performance. Remedial teaching requires much manpower during the teachi
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LIU, JEN-TI, and 劉仁棣. "A study on the Learning Achievement of Using MOODLE Digital Learning Platform on Junior High School --- take an example of Pythagorean theorem unit Teaching." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/95465933901802356932.

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碩士<br>中華大學<br>科技管理學系碩士在職專班<br>100<br>The purpose of this study was to integrate the strategic teaching with “MOODLE Digital Learning Platform”, assessing the learning achievement and attitude of Junior High School 2th grade students on the units of Pythagorean Theorem. The study adopted “quasi- experimental research”: applying a five-classes (225 minutes) group teaching on the 2th grade Junior High School students, and implementing the “Pythagorean Theorem Achievement Tests” and “Survey of Students’ Attitude toward Mathematical Learning” as a research tool, which consisted of pre-test and post
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Moledina, Amreen. "Should the Pythagorean Theorem Actually be Called the 'Pythagorean' Theorem." Thesis, 2013. http://hdl.handle.net/1807/43260.

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This paper investigates whether it is reasonable to bestow credit to one person or group for the famed theorem that relates to the side lengths of any right-angled triangle, a theorem routinely referred to as the “Pythagorean Theorem”. The author investigates the first-documented occurrences of the theorem, along with its first proofs. In addition, proofs that stem from different branches of mathematics and science are analyzed in an effort to display that credit for the development of the theorem should be shared amongst its many contributors rather than crediting the whole of the theorem to
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Books on the topic "Pythagoras and the Pythagorean school"

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Guthrie, Kenneth Sylvan. The Pythagorean Sourcebook and Library: An Anthology of Ancient Writings Which Relate to Pythagoras and Pythagorean Philosophy. Edited by David Fideler. Phanes Press, 1987.

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Opsopaus, John. Guide to the Pythagorean tarot: An interpretation based on Pythagorean & alchemical principles. Llewellyn Publications, 2001.

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Riedweg, Christoph. Pitagora: Vita, dottrina e influenza. V&P, 2007.

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Arthur, Harvey. Pythagoras and his philosophy. J. Hope, 1996.

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Zhmudʹ, L. I͡A. Nauka, filosofii͡a i religii͡a v rannem pifagoreizme. Izd-vo VGK, 1994.

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Stanley, Thomas. Pythagoras: His life and teachings : a compendium of classical sources. Ibis Press, 2010.

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Stouraïtēs, Gerasimos. Thanatos kai epanagennēsē: Ta mystika tōn Pythagoreiōn. Vivliothēkē tou Rodou, 1998.

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Gobry, Ivan. Pythagore. Editions universitaires, 1992.

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Mattéi, Jean-François. Pythagore et les pythagoriciens. Presses universitaires de France, 1993.

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Cecilia, Accademia di Santa, ed. L' arte della fuga di Johann Sebastian Bach: Un'opera pitagorica e la sua realizzazione. Skira, 2000.

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Book chapters on the topic "Pythagoras and the Pythagorean school"

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Anglin, W. S., and J. Lambek. "Pythagoras and His School." In The Heritage of Thales. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0803-7_8.

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Allen, G. Donald. "Pythagorean Triples Plus One." In Pedagogy and Content in Middle and High School Mathematics. SensePublishers, 2017. http://dx.doi.org/10.1007/978-94-6351-137-7_17.

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Carlson, Philip. "Area and the Pythagoras Theorem." In Solutions Manual for Geometry: A High School Course. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0861-7_3.

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Svetlikova, Ilona. "The Moscow “School”: P. A. Nekrasov." In The Moscow Pythagoreans. Palgrave Macmillan US, 2013. http://dx.doi.org/10.1057/9781137338280_3.

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Svetlikova, Ilona. "Some Other Members of the “School”." In The Moscow Pythagoreans. Palgrave Macmillan US, 2013. http://dx.doi.org/10.1057/9781137338280_5.

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Svetlikova, Ilona. "The Pythagoreanism of the Moscow “School”." In The Moscow Pythagoreans. Palgrave Macmillan US, 2013. http://dx.doi.org/10.1057/9781137338280_6.

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Svetlikova, Ilona. "Origins of the Moscow “School”: N. V. Bugaev." In The Moscow Pythagoreans. Palgrave Macmillan US, 2013. http://dx.doi.org/10.1057/9781137338280_2.

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Agarwal, Ravi P. "Pythagorean Theorem." In Mathematics Before and After Pythagoras. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-74224-8_5.

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Agarwal, Ravi P. "Pythagorean Triples." In Mathematics Before and After Pythagoras. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-74224-8_6.

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Agarwal, Ravi P. "Pythagorean Figurative Numbers." In Mathematics Before and After Pythagoras. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-74224-8_7.

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Conference papers on the topic "Pythagoras and the Pythagorean school"

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Anthis, Zach, Alexandros Basiakoulis, Kyriakos Efstathiou, and Marianna Efstathiou. "Sound of Reason: Using AI to build a Digital Twin after the Kanon of Pythagoras in school settings." In 2024 IEEE Smart World Congress (SWC). IEEE, 2024. https://doi.org/10.1109/swc62898.2024.00329.

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Tzoumpa, Dimitra, Eleni Seralidou, Athanasios Alougdelis, and Christos Douligeris. "“Pythagorean Academy” – A game for the teaching of junior high school mathematics using mobile devices." In 2022 7th South-East Europe Design Automation, Computer Engineering, Computer Networks and Social Media Conference (SEEDA-CECNSM). IEEE, 2022. http://dx.doi.org/10.1109/seeda-cecnsm57760.2022.9932932.

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Magnaghi-Delfino, Paola, Giampiero Mele, and Tullia Norando. "Il pentagono come strumento per il disegno delle fortezze." In FORTMED2020 - Defensive Architecture of the Mediterranean. Universitat Politàcnica de València, 2020. http://dx.doi.org/10.4995/fortmed2020.2020.11324.

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The pentagon as a tool for fortresses’ drawingStarting from the fifteenth century, the diagram of many fortresses has a pentagonal shape. Among the best known fortresses, in Italy we find the Fortezza da Basso of Florence, the Cittadella of Parma, the Cittadella of Turin, Castel Sant’Angelo in Rome. The aim of this article is to analyze the reasons that link form and geometry to the planning of the design and the layout of pentagonal fortresses. The pentagon is a polygon tied to the golden section and to the Fibonacci sequence and it is possible to construct it starting from the golden triangl
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Utami, Nida Sri, Isnaeni Umi Machromah, Rini Setyaningsih, Raja Noor Farah, and Rani Puspita Sari. "Question development of Pythagorean subject in junior high school based on cognitive process and context in minimum competency assessment." In 4TH INTERNATIONAL CONFERENCE ON FRONTIERS OF BIOLOGICAL SCIENCES AND ENGINEERING (FBSE 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0099963.

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Nurwita, Faizah, Yaya S. Kusumah, and Dadang Juandi. "Developing learning media based on Android application for improving math problem solving skill of junior high school students on Pythagorean Theorem." In INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS) 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0163595.

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Latinčić, Dragan. "Experiments with Rhythm Using the Method of Harmonic Spectrum Projection." In Iskošeni ugao Dragutina Gostuškog. Muzikološki institut SANU Beograd, 2024. https://doi.org/10.46793/dgost23.129l.

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In his capital work The Time of Art. The Contribution to the Foundation of a General Science of Forms, Dragutin Gostuški also points to the perspective of musical art, seen through significant changes in the theory of rhythm and the theory of proportions. Gostuški is a follower of the Pythagorean teachings on music, which he accepted creatively, as he looked for beauty and harmony in formulas, mathematical expressions, and laws of physics. This is mostly manifested in his discussions and postulates on rhythm. Using numerous and valuable examples, Gostuški points to an extraordinary synthetic p
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