LEARNING MODULE ANALYSIS OF PYTHAGOREAN THEOREM BASED ON SCIENTIFIC APPROACH

Yus Mochamad Cholily(1*), Putri Ayu Kusgiarohmah(2),

(1) University of Muhammadiyah Malang
(2) State University of Malang
(*) Corresponding Author


Abstract


One of the basic competencies in class VIII contains the Pythagorean theorem. Surveys on students who have studied it, they still remember that the proposition is related to a right triangle. Interviews with students who understand the theorem show that they have a formulation of the relationship between the length of the hypotenuse and the side of the right angle. In detail they do not understand why this relationship can occur. That's because they memorized the formula instead of understanding it. For this reason, using the ADDIE development model, through this research a Scientific Learning-Based learning module was developed. This module was developed with the aim of helping self-study students to find their understanding of the Pythagorean theorem. Before being distributed, this module is analyzed to determine the validity and practicality of the module. The results of the study indicate that the module is valid, in accordance with the material, language and also there are scientific learning steps. Then, this module is said to be practical because through observation and interviews, the propositional module has met the criteria for practice assessment including, self-instructional, self-contained, stand-alone, adaptive, and user friendly.


Keywords


Pythagorean Theorem, scientific, hypotenuse, right side

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References


Agustyaningrum, N., & Gusmania, Y. (2017). Praktikalitas dan Keefektifan Modul Geometri Analitik Ruang Berbasis Konstruktivisme. Jurnal Dimensi, 6(3), 412–420. https://doi.org/10.33373/dms.v6i3.1075

Anon. (2008). Supplement: Was Pythagoras really a square? NCTM News Bulletin.

Ayda, E., & Widjajanti, D. B. (2014). Pengembangan Perangkat Pembelajaran Teorema Pythagoras Dengan Media Berbantuan Komputer. Jurnal Riset Pendidikan Matematika. https://doi.org/10.21831/jrpm.v1i2.2677

Bernard, M., Dwi Minarti, E., & Hutajulu, M. (2018). Constructing Student’s Mathematical Understanding Skills and Self Confidence: Math Game with Visual Basic Application for Microsoft Excel in Learning Phytagoras at Junior High School. International Journal of Engineering & Technology. https://doi.org/10.14419/ijet.v7i3.2.18738

Caleon, I., & Ramanathan, S. (2008). From music to physics: The undervalued legacy of pythagoras. Science and Education. https://doi.org/10.1007/s11191-007-9090-x

Cooper, D. (2013). Professional development, reflective practice and lesson study. Mathematics in School.

Cranmore, J., & Tunks, J. (2010). High School Students’ Perceptions of the Relationship between Music and Math. Mid-Western Educational Researcher.

Cuomo, S., Galletti, A., & Guerriero, G. (2014). An interdisciplinary laboratory in mathematics and music. Applied Mathematical Sciences. https://doi.org/10.12988/ams.2014.49685

Departemen Pendidikan Nasional. (2009). Pedoman Penulisan Modul Pendidikan dan Pelatihan.

Faris, M., Ulfa, S., & Praherdhiono, H. (2019). Teknologi Pembelajaran Matematika Pembuktian Teorema Pythagoras Berbasis Visual. JINOTEP (Jurnal Inovasi Dan Teknologi Pembelajaran) Kajian Dan Riset Dalam Teknologi Pembelajaran. https://doi.org/10.17977/um031v6i12019p008

Fitriyani, W., & Sugiman, S. (2014). Pengembangan Perangkat Pembelajaran Teorema Pythagoras dengan Pendekatan Ideal Berbantuan Geogebra. Jurnal Riset Pendidikan Matematika, 1(2), 269. https://doi.org/10.21831/jrpm.v1i2.2681

Hamdunah. (2015). Praktikalitas Pengembangan Modul Kontruktivisme Dan Website Pada Materi Lingkaran dan Bola. Lemma, 2(1), 35–42.

Harisman, Y. (2016). Validitas Dan Praktikalitas Modul Untuk Materi Fungsi Pembangkit Pada Perkuliahan Matematika Diskrit Di Stkip Pgri Sumatera Barat. AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika Dan Matematika Terapan, 4(2). https://doi.org/10.12928/admathedu.v4i2.4801

Huang, R., & Leung, F. K. S. (2002). How pythagoras’ theorem is taught in Czech republic, Hong Kong and Shanghai: A case study. ZDM - International Journal on Mathematics Education. https://doi.org/10.1007/BF02655725

Hyder, S. I., & Bhamani, S. (2017). Bloom’s Taxonomy (Cognitive Domain) in Higher Education Settings: Reflection Brief. January. https://doi.org/10.13140/RG.2.2.14634.62406

Kariman, D., Sovia, A., & Harisman, Y. (2016). Praktikalitas Modul Analisis Kompleks Berbasis Penemuan Terbimbing. Prosiding Seminar Nasional MIPA.

Kemendikbud. (2018). Permendikbud 37 tahun 2018 tentang Perubahan atas Peraturan Menteri Pendidikan dan Kebudayaan Nomor 24 Tahun 2016 Tentang Kompetensi Inti dan Kompetensi Dasar Pelajaran pada Kurikulum 2013 pada Pendidikan Dasar dan Pendidikan Menengah. In Jakarta.

Lasmiyati, & Harta, I. (2014). Pengembangan Modul Pembelajaran untuk Meningkatkan Pemahaman Konsep dan Minat SMP. Pythagoras: Jurnal Pendidikan Matematika, 9(2), 161–174. https://doi.org/10.21831/pg.v9i2.9077

Layn, M. R. (2018). Improving Mathematics Learning Outcomes Through Cooperative Learning Model Type NHT In Grade VIII A Students MTS Muhammadiyah. Formatif: Jurnal Ilmiah Pendidikan MIPA. https://doi.org/10.30998/formatif.v8i1.2319

Lin, C.-Y. (2007). Pythagorean Theorem Proofs: Connecting Interactive Websites. Online Submission, 5(1).

Mestre, N. De, & Marrows, B. (2007). Pythagorean and Heronian Triangles. Australian Senior Mathematics Journal, 21(2), 21–23.

Muchyidin, A., & Amin, A. hildan F. (2012). Pengaruh Penguasaan Teorema Pythagoras Terhadap Kemampuan Siswa daam Menyeesaikan Soal-Soa Garis Singgung Lingkaran Kelas VIII SMPN 1 Leuwimunding. Eduma : Mathematics Education Learning and Teaching, 1(2), 55–62. https://doi.org/10.24235/eduma.v1i2.298

Mulyati, S., & Evendi, H. (2020). Pembelajaran Matematika Melalui Media Game Quizizz Untuk Meningkatkan Hasil Belajar Matematika Smp 2 Bojonegara. Jurnal Pendidikan Matematika.

Mulyatna, F. (2019). Proses Pembentukan Konsep dalam Menemukan Kembali Teorema Pythagoras dan Miskonsepsi yang Terjadi dengan Pendekatan Pendidikan Matematika Realistik Indonesia (PMRI). ARITHMETIC: Academic Journal of Math, 1(1), 1. https://doi.org/10.29240/ja.v1i1.762

Nafsiah, I. N., Rizal, F., & Giataman. (2019). Validitas Pengembangan Modul Pembelajaran Project Based Learning pada Materi Kuliah Manajemen Proyek di Pendidikan Teknik Bangunan FT-UNP. Educational Building: Jurnal Pendidikan Teknik Bangunan Dan Sipil, 5(1), 26–31.

Novia, C. E., Wahyuni, R., & Husna, N. (2017). Efektivitas Model Problem Posing Untuk Meningkatkan Kemampuan Penalaran Matematis Siswa Pada Materi Teorema Pythagoras Kelas VIII SMP Negeri 12 Singkawang. JPMI (Jurnal Pendidikan Matematika Indonesia). https://doi.org/10.26737/jpmi.v2i2.227

Rahmadani, Y., Tayeb, T., & Baharuddin, B. (2018). Modul Matematika Berbasis Model Kooperatif Tipe Stad Dengan Metode Penemuan Terbimbing Pada Pokok Bahasan Teorema Phytagoras. Lentera Pendidikan : Jurnal Ilmu Tarbiyah Dan Keguruan. https://doi.org/10.24252/lp.2018v21n1i3

Rifai, M., & Prihatnani, E. (2020). Pengembangan Media Puzzle untuk Pembuktian Teorema Pythagoras. Delta: Jurnal Ilmiah Pendidikan Matematika, 8(1), 43–62.

Rudi, R., Suryadi, D., & Rosjanuardi, R. (2020). Identifying Students’ Difficulties In Understanding And Applying Pythagorean Theorem With An Onto-Semiotic Approach. MaPan. https://doi.org/10.24252/mapan.2020v8n1a1

Sunaryo, S., & Sunardi, H. (2016). Pembuktian Dua Puluh Lima Dalil Pythagoras. Buana Matematika : Jurnal Ilmiah Matematika Dan Pendidikan Matematika. https://doi.org/10.36456/buanamatematika.v5i2:.396

Syahrin, A., Anggo, M., & Arvyaty, A. (2019). Meningkatkan Hasil Belajar Matematika Materi Teorema Pythagoras Melalui Model Pembelajaran Kooperatif Tipe Jigsaw Pada Siswa Kelas VIIIC SMP Negeri 18 Konawe Selatan. Jurnal Penelitian Pendidikan Matematika. https://doi.org/10.36709/jppm.v6i2.9122

Treeby, D. (2017). A Physical Proof of the Pythagorean Theorem. The Physics Teacher. https://doi.org/10.1119/1.4974120

Ulandari, N., Putri, R., Ningsih, F., & Putra, A. (2019). Efektivitas Model Pembelajaran Inquiry terhadap Kemampuan Berpikir Kreatif Siswa pada Materi Teorema Pythagoras. Jurnal Cendekia : Jurnal Pendidikan Matematika. https://doi.org/10.31004/cendekia.v3i2.99

Wijayanto, R., & Sutriyono, S. (2018). Pengembangan Media Flashcard Pada Materi Pythagoras Bagi Siswa Kelas VIII SMP. Pendekar : Jurnal Pendidikan Berkarakter, 1(1). https://doi.org/10.31764/pendekar.v1i1.284

Zaerani, S., Mardhiah, M., & Suharti, S. (2017). Pengaruh Penguasaan Konsep Teorema Pythagoras Terhadap Kemampuan Menyelesaikan Soal-Soal Bangun Ruang Sisi Datar pada Siswa Kelas VIII MTs Negeri Balang-Balang. MaPan: Jurnal Matematika Dan Pembelajaran, 5(2), 279–292. https://doi.org/10.24252/mapan.v5n2a9




DOI: http://dx.doi.org/10.24127/ajpm.v12i3.6108

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