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Articles
Published: 2016-10-28

Penalaran proporsional siswa kelas VII

IAIN Mataram
Universitas Sebelas Maret Surakarta
Universitas Sebelas Maret Surakarta
Penalaran Proporsional Pemecahan Masalah Bernalar Kuantitatif Perkalian Silang Invarian dan Kovarian

Galleys

Abstract

[Bahasa]: Penelitian ini merupakan penelitian kualitatif deskriptif yang bertujuan untuk mendeskripsikan karakteristik penalaran proporsional siswa. Subjek penelitian adalah siswa kelas VII SMP Negeri 1 Tasikmadu Kabupaten Karanganyar. Prosedur pemilihan subjek dengan cara purposive sampling. Pengumpulan data dilakukan dengan cara think aloud method. Validitas data menggunakan triangulasi waktu. Teknik analisis data dilakukan dengan cara: (1) mengelompokkan data dalam 2 kategori, kemudian mereduksi data yang tidak termasuk dalam 2 kategori tersebut, (2) menyajikan data dalam teks naratif, dan (3) menyimpulkan karakteristik penalaran proporsional siswa kemudian membandingkan subjek yang berada pada level yang sama. Berdasarkan penelitian yang dilakukan pada enam subjek siswa kelas VII SMP Negeri Tasikmadu, terdapat empat siswa yang sudah bisa bernalar kuantitatif yaitu mampu memanipulasi situasi perbandingan dengan menggunakan suatu bilangan dan dua siswa menggunakan perkalian silang tetapi tidak sepenuhnya memahami hubungan invarian dan kovarian.

[English]: This descriptive qualitative research is aimed at describing the characteristics of students proportional reasoning. The subjects are the seventh grade students at SMP Negeri 1 Tasikmadu Karanganyar. The subjects are selected through purposive sampling methods. Data collection applies think aloud method. Time triangulation is used for data validation. Data is analyzed by: (1) classifying data in two categories then reducing them which do not belong to both categories, (2) presenting the data in narrative text, and (3) summarizing the characteristics of students proportional reasoning then comparing the subjects based on same level. The research shows that 4 of 6 students are able to reason quantitatively which mean that they can manipulate the proportional situation using number and the remaining students use cross product but they did not fully understand about the relation of invariant and covariant.

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References

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How to Cite

Nugraha, Y., Sujadi, I., & Pangadi, P. (2016). Penalaran proporsional siswa kelas VII. Beta: Jurnal Tadris Matematika, 9(1), 34–47. https://doi.org/10.20414/betajtm.v9i1.2