Alternative in Providing Proof of Negative Exponent for Junior High School Students

Authors

  • Gina Silvia Karim Universitas Islam Sultan Sultan Agung http://orcid.org/0000-0002-4729-9113
  • Naini Fatmawati Universitas Islam Sultan Sultan Agung
  • Dyana Wijayanti Universitas Islam Sultan Sultan Agung

DOI:

https://doi.org/10.25273/jipm.v8i2.5876

Keywords:

Negative Exponents, Formal Proof, Informal Proof.

Abstract

This study aims to make a contribution related to opinions and perceptions about negative exponents among junior high school students. In this study, negative exponents are considered as difficult things that require various efforts to instill good knowledge concepts in students. One of them is through evidence in learning mathematics. Evidence is considered capable of instilling students' knowledge concepts in negative exponent material. The research method used is descriptive qualitative research. Descriptive literature research studies through literature reviews, journals, and books relating to negative exponents. The results of this study are alternatives to completing formal and informal evidence related to negative exponents in junior high school students. Through some alternative evidence in introducing negative exponents is expected to make students better understand the form of negative exponents well. So that at the level above students can easily solve problems related to negative exponents without getting errors in the operation of advanced exponents.

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Author Biographies

Gina Silvia Karim, Universitas Islam Sultan Sultan Agung

Student in Math Education Departmen, Faculty of Teacher Training and Education.

Naini Fatmawati, Universitas Islam Sultan Sultan Agung

Student in Math Education Departmen, Faculty of Teacher Training and Education.

Dyana Wijayanti, Universitas Islam Sultan Sultan Agung

Lecturer in Math Education Departmen, Faculty of Teacher Training and Education.

References

Agustin, K., & Linguistika, Y. (2012). Identifikasi Kesalahan Siswa Kelas X Pada Evaluasi Materi Sifat-Sifat Bilangan Berpangkat dengan Pangkat Bilangan Bulat di SMA Muhammadiyah 2 Yogyakarta. Prosiding Seminar Nasional Matematika Dan Pendidikan Matematika FMIPA UNY : Kontribusi Pendidikan Matematika Dan Matematika Dalam Membangun Karakter Guru Dan Siswa, 471–486.

Aksin, N., Ngapiningsih, & Suparno. (2019). MATEMATIKA Smp/Mts Kelas IX. Yogyakarta: PT Penerbit Intan Pariwara.

Alchian, A. A. (1960). Mathematics Dictionary: Multilingual Edition. Edited by Glenn James and Robert C. James. Princeton, New Jersey: D. Van Nostrand Company, Inc.

Anggraena, Y., Kustiana, Y., Dewi, M. R., & Sari, S. I. (2019). Buku Pengayaan dan Penilaian MOZAIK Matematika 3 SMP/MTs Kelas IX (Pertama). Yudhistira.

Angraini, P., & Prahmana, R. C. I. (2018). Analisis Kemampuan Pemahaman Matematis pada Materi Bentuk Pangkat, Akar, dan Logaritma di SMK. Journal of Honai Math, 1(1), 1–13.

Clapham, C., & Nicholson, J. (2009). The concise Oxford dictionary of mathematics. OUP Oxford.

Downing, D. (2009). Dictionary of mathematics terms. Barron’s Educational Series, Inc.

Dudeja, V., & Madhavi, V. (2018). Jelajah Matematika 3 SMP Kelas IX (Pertama). Yudhistira.

Gazali, R. Y. (2016). Pembelajaran matematika yang bermakna. 2(3).

Hall, P. (2011). Middle Grade Math Common Core Course 3 Student Edition. Pearson Education, Inc.

Kassios, Y. (2009). Formal Proof. 1–5.

Ndraha, F. (2015). Proses Berpikir Siswa Smp Mengonstruksi Bukti Informal Geometri Sebagai Prosep Yang Direpresentasikan Secara Visual / Simbolik. Jurnal Math Educator Nusantara, 1(2), 91–105.

Negative Exponents. (2017). Negative Exponents. Retrieved December 13, 2019, from https://www.mathsisfun.com/algebra/negative-exponents.html

Negoro, S., & Harahap, B. (2003). Ensiklopedia Matematika (Keempat; Syafrizal & R. Koto, Eds.). Jakarta: PT Ghalia Indonesia.

Otten, S., & Nivens, R. A. (2016). Journal Rankings and Representation in Mathematics. 31.

Pianda, D., & Suryani. (2018). MATEMATIKA Kelompok Umum Kelas X Semester 1 untuk SMK/MAK (Cetakan Pe; D. Pianda, Ed.). Sukabumi: CV Jejak.

Pinahayu, E. A. R. (2015). Problematika pembelajaran matematika pada pokok bahasan eksponen dan alternatif pemecahannya. 5(3), 182–191.

Prastiyowati, L., Gembong, S., & Darmadi, D. (2015). Profil Kemampuan Pemahaman Siswa Kelas X dalam Menyelesaikan Masalah yang Berkaitan dengan Penerapan Sifat-Sifat Eksponen dan Logaritma Ditinjau dari Kemampuan Awal. JIPM (Jurnal Ilmiah Pendidikan Matematika), 4(1), 1–10.

Raco, J. R. (2010). METODE PENELITIAN KUALITATIF Jenis, Karakteristik, dan Keunggulannya (A. L, Ed.). Jakarta: PT Gramedia Widiasarana Indonesia.

Raharjo, M., & Setiawan, A. (2018). Matematika 3. Erlangga.

Sembiring, S., Akhmad, G., & Nurdiansyah, H. (2017). Buku Teks Pendamping Matematika untuk Siswa SMP-MTs Kelas IX. Bandung: YRAMA WIDYA.

Suandito, B. (2017). Bukti Informal Dalam Pembelajaran Matematika. Al-Jabar : Jurnal Pendidikan Matematika, 8(1), 13.

Subchan, Winarni, Mufid, M. S., Fahim, K., & Syaifudin, W. H. (2018). MATEMATIKA SMP/MTs Kelas IX Kurikulum 2013 Edisi Revisi 2018. Jakarta: Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud.

Sultan, A., & Artzt, A. F. (2011). Building The Real Number System. In The Mathematics That Every Secondary School Math Teacher Needs To Know (p. 244). New York: Routledge.

Sumardyono. (2018). Kemampuan Guru dalam Menyusun Bukti Matematis. Indonesian Digital Journal of Mathematics and Education, 5(8), 510–522. Retrieved from http://idealmathedu.p4tkmatematika.org

Syawahid, M. (2015). Kemampuan Berfikir Formal Mahasiswa. 8(2), 125–141.

Tall, D. (1992). Construction of objects through definition and proof. Proceedings of PME Working Group on Advanced Mathematical Thinking.

Ulusoy, F. (2019). Serious Obstacles Hindering Middle School Students ’ Understanding of Serious Obstacles Hindering Middle School Students ’ Understanding of Integer Exponents. International Journal of Research in Education and Science (IJRES), 5(1), 52–69.

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Published

03/20/2020

Issue

Vol. 8 No. 2 (2020)

Section

Articles

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