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

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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Aisah, Siti, Indah Rahayu Panglipur, and Dimas Andita Cahyo Sujiwo. "ANALISIS PEMBELAJARAN PROBLEM BASED LEARNING (PBL) DENGAN PEMECAHAN MASALAH BERBANTUAN KOMIK LITERASI NUMERASI DAN ETNOMATEMATIKA." Prismatika: Jurnal Pendidikan dan Riset Matematika 6, no. 1 (2023): 211–20. http://dx.doi.org/10.33503/prismatika.v6i1.3569.

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The purpose of this research is to find out the application of learning problems (PBL) with the help of comic based literacy numeration and ethnomathematics in the Integrated High School of Madinatul Ulum class VIIIB cangkrung jenggawa based on the theorem pythagoras. This research used qualitative descriptive approaches. The collection of data were observations, interviews, documentation, and tests. Based on a comic-aided problem-solving learning analysis that focuses on the material of the pythagorean theorem and numeration and ethnomathematics literacy, it was found that 80% of students sho

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12

Егорочкин, М. В. "Шутка Ксенофана". Историко-философский ежегодник, № 35 (16 грудня 2020): 005–30. http://dx.doi.org/10.21267/aquilo.2020.79.55.001.

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Первое упоминание о Пифагоре и пифагорейском учении о переселении душ, или метемпсихозе, принадлежит поэту и философу Ксенофану Колофонскому (ок. 570–470 гг. до н.э.). В одной из своих элегий он рассказывает анекдот о щенке, в коем Пифагор якобы распознал душу знакомого человека (21 B 7 DK = D.L. VIII, 36). Принято считать, что стихи Ксенофана являются критическими и представляют собой насмешку над пифагорейской доктриной. Остается, однако, не вполне ясным, в чем, собственно говоря, суть ксенофановской насмешки. Хотя этот вопрос издавна занимает исследователей, удовлетворительного ответа на не

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13

Lenz, Markus Alexander. "A Prophet of Divine Wisdom?—Giambattista Vico and the Construction of the Pythagorean Myth." Philological Encounters 5, no. 1 (2020): 50–75. http://dx.doi.org/10.1163/24519197-12340069.

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Abstract In the nineteenth century, the reception of Giambattista Vico’s writings came along with nationalist interpretations of his Scienza Nuova as an ‘Italian Science’. This tendency was based upon an increased examination of the role that the philosopher Pythagoras and his Italian school of Croton played in Vico’s hierarchical conception of the ancient Greek and Italian civilizations. Writers, archaeologists and historians used the New Science as a metonymic reference work for their own nationalist concepts by updating the Pythagorean myth in accordance with relevant narratives of exclusiv

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14

Rahmah, Ziaul, Puguh Darmawan, and Mohd Nor Syahrir Abdullah. "FAKTOR-FAKTOR PENYEBAB KETERCAPAIAN LEVEL KOGNITIF SISWA DALAM PEMECAHAN MASALAH TEOREMA PYTHAGORAS BERDASARKAN TAKSONOMI BLOOM REVISI [CONTRIBUTING FACTORS OF STUDENTS’ COGNITIVE LEVEL IN SOLVING PYTHAGOREAN THEOREM PROBLEMS FOLLOWING BLOOM’S REVISED TAXONOMY]." JOHME: Journal of Holistic Mathematics Education 8, no. 2 (2024): 144. https://doi.org/10.19166/johme.v8i2.8317.

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<p>Eighth-grade students are expected to master the Pythagorean theorem. This understanding provides a strong foundation for various mathematical concepts. Besides, the Pythagorean theorem serves as one of the prerequisite subjects for further courses. However, these students have been reported to have low cognitive levels and encounter difficulty in learning the Pythagorean theorem. Therefore, this study explores the achievement of students' cognitive levels in solving Pythagorean theorem problems based on revised Bloom's taxonomy and the underlying factors. This research employed quali

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15

Alviz Fernández, Marco, та David Hernández de la Fuente. "Συνουσία in Late Antique Neoplatonic Schools: A Concept between Social History, History of Education and History of Philosophy". Literature 4, № 1 (2024): 45–61. http://dx.doi.org/10.3390/literature4010004.

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It is well studied that some Pythagorean principles lied at the foundations of the Late Antique Neoplatonic School. The main reason for that conclusion to be drawn is the two biographies of the Samian sage written by the Neoplatonic philosophers Porphyry of Tyre and Iamblichus of Chalcis. Accordingly, the archetypical image of Pythagoras became a major ideal for which every pagan philosopher aimed in Late Antiquity. Henceforth, masters and their disciple circles comprised a micro-society which can reasonably be analyzed as a whole. Suffice it to say that they were small and cohesive charismati

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16

Alyani, Fitri, and Narin Ledy Mercury Aminanti. "ANALYSIS OF CREATIVE THINKING SKILLS ON THE PHYTHAGOREAN THEOREM MATERIAL IN TERMS OF SELF-CONFIDENCE." Jurnal Pengembangan Pembelajaran Matematika 4, no. 2 (2023): 134–43. http://dx.doi.org/10.14421/jppm.2022.42.134-143.

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The purpose of this study is to describe the ability of students' creative thinking processes on the Pythagorean theorem material which is reviewed based on self-confidence. The subjects of this study were Junior High School students at grade VIII in Jakarta, as many as 120 students. This study uses a qualitative method with a descriptive approach. The stages carried out are: filling out a self-confidence questionnaire, testing creative thinking skills with Pythagoras theorem questions, interviews, analyzing data, drawing conclusions. Based on the results obtained, the high self-confidence cla

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17

Jeck, Udo Reinhold. "„Virtus cerebri – organum animae“." Bochumer Philosophisches Jahrbuch für Antike und Mittelalter 24 (December 31, 2021): 35–106. http://dx.doi.org/10.1075/bpjam.00072.jec.

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Abstract The first part of this essay analyses the beginning of the philosophy of the brain in early Greece by looking at the Pythagorean theories of the brain. The knowledge of this innovative achievement of the Pythagorean school was never completely lost; it also got through to the Middle Ages. The second part focuses on the effect of Pythagorean thinking on Albert the Great. Albert systematically studied all available sources on Pythagoreanism and in doing so acquired extensive knowledge of this philosophical movement. In the process, he also thought through the psychology of the Pythagore

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18

Santacroce, Luigi, Ioannis Alexandros Charitos, Skender Topi, and Lucrezia Bottalico. "The Alcmaeon’s School of Croton: Philosophy and Science." Open Access Macedonian Journal of Medical Sciences 7, no. 3 (2019): 500–503. http://dx.doi.org/10.3889/oamjms.2019.072.

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Among the first physicians and physiologists at the pre-Hippocratic medicine with contradictions and oscillating doctrines was Alcmaeon from Croton in the 6th century BC. For many, he shared as the father of scientific medicine. Unfortunately, we have only eighteen texts written for him and only five fragments of texts written by him. This saved extracts and testimonies they refer mostly to physiology, epistemology and psychology. Was born in the city of Croton (Κρότων) in Magna Graecia (southern Italy) was a reference point for the activity of physicians and philosophers over the years. Furth

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Ericksen, Donna, John Stasiuk, and Martha Frank. "Sharing Teaching Ideas: Bringing Pythagoras to Life." Mathematics Teacher 88, no. 9 (1995): 744–47. http://dx.doi.org/10.5951/mt.88.9.0744.

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The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) states that “[o]ne of the most important properties in geometry, the Pythagorean theorem, is introduced in the middle grades” (p. 113). Although the Standards document assigns much prominence to the Pythagorean theorem, our experience teaching at the university level has revealed that students know the theorem by name and can recite a2 + b2 = c2 but that they often cannot handle even simple computations using the formula. Students' experience with the Pythagorean theorem in high school needs to be broadened by their con

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20

Watson, Elaine K. "Pythagoras, Measurement, and the Geoboard." Teaching Children Mathematics 13, no. 7 (2007): 369–75. http://dx.doi.org/10.5951/tcm.13.7.0369.

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An elementary school principal, a former high school mathematics teacher, uses the geoboard in her work with a group of fifth–grade students. As the investigation of polygons progresses from symmetry to area to perimeter, hands–on applications of advanced mathematics topics such as the Pythagorean theorem and square roots emerge.

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21

Usyeldi, Usyeldi. "PENINGKATAN HASIL BELAJAR PESERTA DIDIK DENGAN MENGGUNAKAN MODEL PYTHAGORAS PADA MATA PELAJARAN MATEMATIKA DI KELAS VIII.1 SMP NEGERI 4 BASO." JURNAL EKSAKTA PENDIDIKAN (JEP) 1, no. 1 (2017): 100. http://dx.doi.org/10.24036/jep/vol1-iss1/41.

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Mathematics instructional in Junior High School (SMPN) 4 Baso, Agam conducted through lecture method. The student-centered learning has not been performed at instructional. Most of students (60%) have not been mastered of mathematics. One of the efforts to improve learning outcomes is to use the Pythagorean model as a learning media. This research aims to improve the learning outcomes of students used the Pythagorean model of the Pythagorean Theorem. The research used classroom action research design. The research subjects were VIII.1 grade students of SMPN 4 Baso, Agam in the 2015/2016 academ

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22

Turenko, Vitali. "WHETHER PYTHAGORAS WAS A POLITICIAN? (a historical-philosophical attempt at rethinking)." Politology bulletin, no. 88 (2022): 149–60. http://dx.doi.org/10.17721/2415-881x.2022.88.149-160.

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The article analyzes the key aspects of Pythagoras’ activity as a political thinker and public figure based on the latest fundamental research on Pythagorean issues, as well as using original sources of ancient Greek and ancient Roman historians, philosophers, and orators. It was revealed that the very question of the philosopher’s birthplace became the focus of imperial propaganda in Ancient Rome. It is proved that Pythagoras himself was not directly related to political activity, although his philosophical beliefs, mainly about the understanding of the ideal form of government, and the role

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Rusakov, Sergei Sergeevich. "Model of subjectivation in the philosophy of Pythagoreans." Философия и культура, no. 10 (October 2020): 50–57. http://dx.doi.org/10.7256/2454-0757.2020.10.33263.

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This article presents the analysis of the philosophy of Pythagoreans, dedicated to the search and conceptualization of the ideas of subjectivation. The goal of this research is to provide general characteristics to Pythagorean model of subjectivation, which was only partially described by M. Foucault in the writings on Ancient Greek &ldquo;care of self&rsquo;. The work employs the translated sources, in form of separate fragments of the compositions written by Pythagoreans, as well as a number of analytical works of Russian and foreign scholars. Considering the narrowness of available

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Ariani, Sinta, Indah Widyaningrum, and Chika Rahayu. "Understanding The Concept Of Pythagoras In Junior High School Students Using PMRI." Mathline : Jurnal Matematika dan Pendidikan Matematika 9, no. 4 (2024): 1219–35. https://doi.org/10.31943/mathline.v9i4.713.

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This research aims to determine students' conceptual understanding using the PMRI learning approach with the context of cotton rope in the Pythagorean theorem material on students' conceptual understanding in class VIII SMP NEGERI 2 Pagaralam. The obstacle faced by students in studying the Pythagorean Theorem is a lack of understanding of the basic concepts in the Pythagorean theorem material. One method that can strengthen understanding of concepts in learning mathematics is Indonesian Realistic Mathematics Education (PMRI). The research method used was experimental using a control group Pre-

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Kiryanov, Denis Aleksandrovich. "The problem of incommensurability and the crisis of foundations of the Ancient Greek mathematics." Философская мысль, no. 9 (September 2021): 54–65. http://dx.doi.org/10.25136/2409-8728.2021.9.36464.

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The subject of this research is the problem of incommensurability and the crisis of foundations of the Ancient Greek mathematics. The article describes that the crisis of foundations was caused by the discovery of irrationality by the Pythagorean Hippasus of Metapontum, which resulted in the theoretical instability of mathematics of the Pythagoreans, who believed that everything could be expressed through numbers. The discovery of incommensurable line segments demonstrated that the relations between rational numbers cannot express any variable, for example the diagonal of a square with one sid

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Pramasdyasari, Agnita Siska, Sindi Nur Aini, and Rina Dwi Setyawati. "Enhancing Students’ Mathematical Critical Thinking Skills through Ethnomathematics Digital Book STEM-PjBL." Mosharafa: Jurnal Pendidikan Matematika 13, no. 1 (2024): 97–112. http://dx.doi.org/10.31980/mosharafa.v13i1.1979.

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Pembelajaran abad 21 menuntut siswa harus mampu berpikir kritis, kreatif, kolaboratif, dan berkomunikasi secara efektif. Akan tetapi, siswa SMP di Indonesia masih memiliki kemampuan berpikir kritis matematika yang relatif rendah. Penelitian ini bertujuan untuk mengembangkan digital book yang menggunakan etnomatematika dan PjBL STEM untuk meningkatkan kemampuan berpikir kritis siswa. Penelitian ini melibatkan Research and Development (R&D) menggunakan model pengembangan ASSURE yang memiliki enam tahapan dilanjutkan dengan metode penelitian kuantitatif dengan teknik pengumpulan data melalui

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Rahmah, Padilah, Maydiyanti Putri, and Reni Wahyuni. "Analysis of students' mathematical communication skills on the pythagoras theorem material in class viii of junior high school." Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu 4, no. 2 (2025): 301–18. https://doi.org/10.31980/pme.v4i2.2908.

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This study aims to evaluate the mathematical communication skills of eighth-grade junior high school students on the topic of the Pythagorean Theorem. Mathematical communication is essential as it reflects conceptual understanding, procedural skills, and the ability to clearly express ideas both verbally and in writing. A descriptive qualitative approach was used, involving 23 students as participants. Data were collected through essay tests based on NCTM indicators and supported by interviews. The results showed that 73.91% of students had moderate communication skills, 13.04% were in the hig

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Mukhlesi Yeni, Ety, Nurhayati, and Osey Putri Salehha. "SYSTEMATIC LITERATURE REVIEW: INTEGRASI KONSEP TEOREMA PYTHAGORAS DALAM KEGIATAN BELAJAR BERSAMA ALAM." Amalgamasi: Journal of Mathematics and Applications 4, no. 1 (2025): 1–10. https://doi.org/10.55098/amalgamasi.v4.i1.pp1-10.

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Education is an essential process aimed at developing the individual’s potential holistically, encompassing intellectual, emotional, and social aspects. The School of Nature, as an innovative approach to education, uses nature as the primary learning medium, offering relevant contextual experiences for students. SMP Sekolah Alam Bireuen (SABIR) implements the "Learning Together with Nature" (BBA) method, which invites students to learn through direct interaction with their surrounding environment. This approach aims to bridge the gap between theory and practice, while enhancing the understandi

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Yusuf, Arya Aurellio, Nursiya Bito, Nurwan Nurwan, and Perry Zakaria. "Deskripsi Kemampuan Koneksi Matematis Siswa Pada Materi Teorema Pythagoras." Jambura Journal of Mathematics Education 3, no. 1 (2022): 10–17. http://dx.doi.org/10.34312/jmathedu.v3i1.11028.

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This article discusses the description of students' mathematical connection abilities in solving mathematics on the Pythagorean theorem material. This descriptive research was conducted at SMP Negeri 1 Bolaang Uki in the odd semester of the 2019/2020 school year. The technique of data collection is done by test. Description test to obtain mathematical connection ability data. The results showed that the students' mathematical connection ability to recognize and use connections between mathematical ideas was 45.14%, the indicator of understanding how mathematical ideas were connected and built

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Guerrero, Carlos Rondero, Marcos Campos Nava, Agustín Alfredo Torres Rodríguez, and Juan Alberto Acosta Hernández. "Un Acercamiento A La Relación Pitagórica A Través Del Cálculo De Ternas." European Scientific Journal, ESJ 14, no. 6 (2018): 58. http://dx.doi.org/10.19044/esj.2018.v14n6p58.

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The Pythagorean Theorem and more formally the Pythagorean Relationship (PR), is one of the most well-known and used results in the context of school mathematics, given that it is an axis of conceptual articulation between different areas of Mathematics. However, in the school context it is common for a Didactic Reductionism to be presented, only enunciating it and presenting the algebraic expression that relates the squares of the sides of a right triangle, leaving aside its great historical and epistemological significance. In view of this problem, this documentary research aims to design an

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Mirawati, Ni Kadek, Anggraini Anggraini, I. Nyoman Murdiana, and Gandung Sugita. "ANALYSIS OF SCHOOL ERRORS OF CLASS VIII SMPN 19 PALU IN RESOLVING THE STORY OF PYTHAGORAS THEOREM BASED ON NEWMAN THEORY." Prima: Jurnal Pendidikan Matematika 8, no. 2 (2024): 403. http://dx.doi.org/10.31000/prima.v8i2.11143.

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This study aims to describe the types of errors made by students in solving Pythagorean theorem story problems based on Newman's theory. This type of research uses descriptive research with a qualitative approach. Data collection was done by tests and interviews. The type of data in this study is qualitative data, namely a description of the types of student errors in solving Pythagorean theorem story problems based on Newman's theory. The subjects of this research were students of class VIIIA SMP Negeri 19 Palu totaling 3 students. The results of this study indicate that students' errors in s

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Sakinah, Zulfatus, Rustanto Rahadi, and I. Made Sulandra. "Application of The Jungle of Phytagoras Discovery Learning Method Assisted with The Nearpod Application." PRISMA 13, no. 1 (2024): 131. http://dx.doi.org/10.35194/jp.v13i1.3980.

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The application of this learning aims to improve the quality of students by developing learning media. The teaching media used for the lesson is the Nearpod application for grade 8 Pythagorean material in middle school in accordance with the implementation plan for mathematics learning in junior high school. The approach used in this learning is Discovery Learning. In this case, the teacher will develop one of the teaching materials in the form of learning media using the Discovery Learning approach. Based on the results of the presentation above, the teacher has carried out open media teachin

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Beamer, James E. "Using Puzzles to Teach the Pythagorean Theorem." Mathematics Teacher 82, no. 5 (1989): 336–39. http://dx.doi.org/10.5951/mt.82.5.0336.

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One of the aims of a mathematics prog- gram is to familiarize the students with the Pythagorean theorem. The result, stated algebraically, is c2 = a2 + b2. Stated geometrically, the Pythagorean theorem refers to squares drawn on the three sides of a right triangle. The theorem states that the square drawn on the longest side has exactly the same area as that of the other two squares combined. Is it possible systematically to dissect the two smaller squares into pieces that will cover the larger square? The answer to this question is the focus of this article, which offers sugges-tions about ho

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Mustafa, Abdur Rahman, Dzuwi Nafida Hasan, Erna Zeniatul Baiti Albahria, et al. "Kabes Pupphy Learning Media (Pythagorean Proving Puzzle) for Mathematics Learning Pythagorean Material." Journal International Inspire Education Technology 1, no. 3 (2023): 8–16. http://dx.doi.org/10.55849/jiiet.v1i3.143.

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This study aims to describe learning media to facilitate students in constructing an understanding of the Pythagorean theorem. This study describes a learning media product in the form of a puzzle called Pupphy (Pythagorean Proving Puzzle). Pupphy is a puzzle proving the Pythagorean theorem on the Pythagorean theorem material for grade VIII students in junior high school. This media is different from the others because it is made from environmentally friendly materials that are easily found in the surrounding environment and can also be made by students themselves. This research uses a qualita

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Choiruzzain, Desca. "Deskripsi Kemampuan Pemecahan Masalah Pada Soal Cerita Materi Pythagoras Ditinjau Dari Tipe Kepribadian Myers Briggs Type Indicator (MBTI)." Jurnal AlphaEuclidEdu 5, no. 1 (2024): 8–15. https://doi.org/10.26418/ja.v5i1.74542.

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Problem-solving skills should be possessed by every learner. In order for problem-solving to provide meaningful and profound knowledge and experiences to learners, determining problem-solving strategies can be grouped according to the nature of the problem to be solved. There are several factors influencing problem-solving skills, one of which is motivation influenced by personality. One personality type is the Myers Briggs Type Indicator (MBTI). This research aims to determine the problem-solving abilities of students in Pythagorean theorem story problems based on the Myers Briggs Type Indica

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Divis, Danielle R., and Tyler Johnson. "Pythagoras, PVC Pipes, and Pianos." Mathematics Teacher: Learning and Teaching PK-12 114, no. 1 (2021): 47–54. http://dx.doi.org/10.5951/mtlt.2019.0385.

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This practitioner article describes a lesson carried out in a high school classroom at the conclusion of a unit on exponential growth. Two teachers use a series of music-related activities to engage students in using and connecting multiple representations of exponential growth while exploring musical frequencies on a piano.

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Yu, Jieqi Lian a, Xinrou, Qianqian Kang, and Suijun Jia. "A Comparative Study of Secondary School Mathematics Teaching Materials from the Perspective of Reasoning--Taking "Pythagorean Theorem" as an Example." Asian Journal of Education and Social Studies 49, no. 4 (2023): 190–98. http://dx.doi.org/10.9734/ajess/2023/v49i41198.

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Education has always been a hot topic of discussion. From the results of junior high school mathematics assessments in recent years, there are differences in mathematical abilities between Eastern Europe and Europe and America. Since reasoning is crucial to understanding mathematics, we compare the "Pythagorean Theorem" in textbooks from China, the United States, and Singapore, examining the theorem's different types of reasoning and how it relates to previously acquired knowledge. The reasoning categories proposed by Shi Ningzhong, Harel, and Sowder serve as the fundamental basis for categori

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Setiawan, Niko, and Nuryadi Nuryadi. "ANALISIS PEMAHAMAN KONSEP MATEMATIS DALAM MENYELESAIKAN SOAL PADA MATERI TEOREMA PYTHAGORAS SMP KELAS VII." Pedagogi: Jurnal Ilmiah Pendidikan 10, no. 2 (2024): 177–85. http://dx.doi.org/10.47662/pedagogi.v10i2.777.

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This research is descriptive research with a quantitative approach to analyze students' conceptual understanding of the Pythagorean Theorem material for class VII. The population in this study was class VII students at SMP Negeri 1 Sedayu for the 2023/2024 academic year, and this research consisted of 32 sample students from class VII F. The data collection techniques used in this research were observation, tests and interviews. The instruments used in this research were observation sheets, tests and interviews. This research aims to analyze the level of students' understanding of concepts in

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Wulandari, Hilaria Yesieka Ayu, and Tatag Yuli Eko Siswono. "Students Activities in Learning Pythagoras Theorems Using Desmos Application." Journal of Mathematical Pedagogy (JoMP) 5, no. 1 (2024): 1–14. http://dx.doi.org/10.26740/jomp.v5n1.p1-14.

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This study aims to describe the creative thinking skills of students in solving problems related to the Pythagorean Theorem using Desmos application. This descriptive research involved 3 Junior High School students in grade 9 in Sidoarjo (Indonesia) who each had high, medium, and low ability backgrounds. The task in the form of questions consisted of two questions asking students to create two different triangles. The results of the analysis showed that high-ability students were able to create two different triangles if they were given sides 3 and 4 in the form of a right triangle and an equi

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Simarmata, Gayus, Rich Hunter Simanungkalit, and Febrianto Samuel Sinabang. "Analisis Tingkat Kognitif Soal pada Buku Kemdikbudristek 2022 Materi Teorema Pythagoras." PENDIPA Journal of Science Education 8, no. 3 (2024): 517–26. https://doi.org/10.33369/pendipa.8.3.517-526.

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The purpose of this study was to determine the distribution of cognitive levels of practice questions and competency test questions on the Pythagorean Theorem material in the Electronic School Book (BSE) for Mathematics for Junior High Schools/Islamic Junior High Schools Class VIII published by the Ministry of Education, Culture, Research and Technology in 2022 based on the Revised Bloom's Taxonomy. The revised Bloom's Taxonomy used is in the cognitive process consisting of: C1-remembering, C2-understanding, C3-applying, for Low Order Thinking Skill (LOTS), C4-analyzing, C5-evaluating, and C6-

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Wulandari, Lila, and Marchasan Lexbin Elvi Judah Riajanto. "Analisis Kesulitan Siswa SMP dalam Menyelesaikan Soal Materi Teorema Pythagoras." Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika (JRPIPM) 3, no. 2 (2020): 61. http://dx.doi.org/10.26740/jrpipm.v3n2.p61-67.

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Difficulties experienced by students in learning greatly affect the achievement of student learning outcomes. This study aims to describe the results of the identification of the types of difficulties and the causes of student difficulties when solving problems based on Polya stages. This type of research is descriptive qualitative with the instrument used in written tests. The subjects of the research were 36 students of class IX at SMP Negeri 9 Cimahi. Based on the analysis that has been done, it can be concluded that the difficulties experienced by junior high school students when completin

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Regandla, Kriti, Ishra Zaman, and John Leddo. "An Investigation of Whether Exposure to Problems Involving Real-world Applications of the Pythagorean Theorem Facilitates Transfer of Learning." International Journal of Social Science and Economic Research 09, no. 12 (2024): 6010–16. https://doi.org/10.46609/ijsser.2024.v09i12.024.

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Transfer of learning is a fascinating concept that has intrigued educators and researchers for several years. Transfer of learning refers to the transferability of skills and knowledge from one scenario to another unfamiliar scenario. The present study investigates whether giving students real world examples of the application of the Pythagorean Theorem to real world settings would lead to improved performance on such problems on a post-test compared to giving students problems that only apply the Pythagorean Theorem to triangles. Twenty-one middle school students ranging from 6th to 8th grade

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Yun, Jeong Oak, and Alfinio Flores. "The Pythagorean Theorem with Jelly Beans." Mathematics Teaching in the Middle School 14, no. 4 (2008): 202–7. http://dx.doi.org/10.5951/mtms.14.4.0202.

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principles and standards for school mathematics advocates an experimentation approach to middle-grades geometry study (nctm 2000). Students are asked to explore and examine a variety of geometric shapes and discover their characteristics and properties using hands-on materials. They also create inductive arguments about the pythagorean relationship. This empirical approach to the pythagorean theorem, for example, will lay the foundation for analytical proofs.

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Egorochkin, Mikhail V. "Xenophanes and the Pythagoreans (D.L. IX, 20 = 21 A 1 DK)." ΣΧΟΛΗ. Ancient Philosophy and the Classical Tradition 15, no. 2 (2021): 643–67. http://dx.doi.org/10.25205/1995-4328-2021-15-2-643-667.

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According to Diogenes Laertius’ Lives of Eminent Philosophers, Xenophanes of Colophon, poet and philosopher of the 6th–5th centuries BC, was sold into slavery by the Pythagoreans Parmeniscus and Orestades (D.L. IX, 20 = 21 A 1 DK). This testimony has long been a source of concern to Hellenists, taking into account the high reputation that Pythagoras and his school gained in the history of European culture and philosophy. The paper provides a critical review of all the proposed corrections to the fragment in question. In the first part it considers conjectures and emendations made by the editor

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Pratiwi, Prisca Mulya, Euis Eti Rohaeti, and Ratni Purwasih. "The Development of Canva-Assisted Scientific Approach Pythagoras Teaching Materials to Improve Students’ Mathematical Reasoning Ability on Junior High School." (JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING 7, no. 3 (2024): 281–92. http://dx.doi.org/10.22460/jiml.v7i3.20741.

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This research was conducted to determine the development, feasibility, effectiveness, and difficulties in the development of teaching materials on the Pythagorean Theorem using a scientific approach assisted by Canva to enhance the mathematical reasoning abilities of junior high school students. This research was conducted at SMP PGRI 10 Bandung using the Research and Development (R&D) method based on the 4D stages. The research subjects included 33 students from class IX F for limited trials, 27 students from class VIII B, and 29 students from class VIII D for extensive trials. The resear

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Soleha, Reni, and Rina Mariani. "Development of Adobe Flash as a media for learning Pythagoras Theorem in first State Junior High Schools." Journal of Math Tadris 3, no. 1 (2023): 54–74. http://dx.doi.org/10.55099/jurmat.v3i1.66.

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This development research aims to determine the results of the development of Adobe Flash as a medium for learning the Pythagorean theorem for class VIII SMP. The product resulting from this research is in the form of learning media on Pythagorean theorem material with several sub-discussions, namely using the Pythagorean theorem to calculate the length of one side of a triangle if the other two sides are known, calculating the ratio of sides in a right triangle with angles of 300 and 600, and calculating the ratio of the sides of a right triangle with an angle of 450. The development model us

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Kerins, Bowen. "Delving Deeper: Gauss, Pythagoras, and Heron." Mathematics Teacher 96, no. 5 (2003): 350–57. http://dx.doi.org/10.5951/mt.96.5.0350.

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The Park City Mathematics Institute (PCMI) IS a three-week-long intensive mathematics experience for mathematicians of all levels. Each summer, it brings together high school and university mathematics educators, as well as researchers, undergraduates, and graduate students. In addition to a series of cross-program activities, each group has a specific program.

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Christensen, Evelyn B. "Pythagorean Triples Served for Supper." Mathematics Teaching in the Middle School 3, no. 1 (1997): 60–62. http://dx.doi.org/10.5951/mtms.3.1.0060.

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After an enjoyable, but exhausting, week of teaching, my family-myself, my husband, Ralph; and our children, Martin and Susan- sits down to Friday supper with that “let go” sense of relief that the weekend has finally arrived. As the meal begins, our eighth grader casually, with almost studied indifference, remarks, “I figured out a new math idea at school today.” Martin is an inquisitive, motivated student, but he is definitely very reserved.

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Wei, Dongmei, Yuan Rong, Harish Garg, and Jun Liu. "An extended WASPAS approach for teaching quality evaluation based on pythagorean fuzzy reducible weighted Maclaurin symmetric mean." Journal of Intelligent & Fuzzy Systems 42, no. 4 (2022): 3121–52. http://dx.doi.org/10.3233/jifs-210821.

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Teaching quality evaluation (TQE) can not only improve teachers’ teaching skills, but also provide an important reference for school teaching management departments to formulate teaching reform measures and strengthen teaching management. TQE is a process of grading and ranking a given teachers based on the comprehensive consideration of multiple evaluation criteria by expert. The Maclaurin symmetric mean (MSM), as a powerful aggregation function, can capture the correlation among multiple input data more efficient. Although multitude weighted MSM operators have been developed to handle the Py

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Mtk, Agnes Lugfi Wulandari, Grace Netty Mainolo, Subhanudin Subhanudin, and A. Rasul. "The Effect of the Use of Audio Visual Media on Student Learning Interest in the Concept of the Pythagorean Theorem." Indo-MathEdu Intellectuals Journal 4, no. 1 (2023): 38–51. http://dx.doi.org/10.54373/imeij.v4i1.49.

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This study aims to determine whether there is an effect of using audio visual media on student interest in the subject matter of the Pythagorean Theorem in Class VIII of Timika Adventist Junior High School and how the effect is. The population in this study were all students of class VIII SMP Advent Timika with a total of 124 students. The results of the t-test statistic test using the Independent Sample Test technique to test the hypothesis "Is there any effect of using audio visual media on student interest in the subject matter of the Pythagorean Theorem for Class VIII of Timika Adventist M

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