ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA DENGAN PENDEKATAN OPEN–ENDED DALAM PEMBELAJARAN MATEMATIKA

Authors

  • Sigit Raharjo Universitas Muhammadiyah Tangerang
  • Hairul Saleh Universitas Muhammadiyah Tangerang
  • Dian Sawitri Universitas Muhammadiyah Tangerang

DOI:

https://doi.org/10.31764/paedagoria.v11i1.1881

Keywords:

Mathematical Reasoning, Open-Ended, Mathematical Learning.

Abstract

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan dan menganalisis kemampuan penalaran matematis siswa SMP dengan pendekatan open-ended dalam pembelajaran matematika, pendekatan open-ended pada penelitian ini diterapkan ke dalam bentuk soal-soal penalaran yang bersifat open-ended. Penelitian ini menggunakan metode penelitian kualitatif deskriptif. Subjek populasi dalam penelitian ini adalah siswa kelas IX SMP yang berjumlah 43 siswa, dengan mengambil sampel tiga siswa dari kelas IX.A yaitu satu siswa dengan kemampuan penalaran tinggi, satu siswa dengan kemampuan penalaran sedang, dan satu siswa dengan kemampuan penalaran rendah. Teknik pengumpulan data dengan menggunakan instrumen soal tes kemampuan penalaran matematis berbentuk essay yang terdiri dari 4 soal yang valid dan reliabel, dan dengan menggunakan wawancara untuk memperoleh data berupa respon siswa secara langsung dengan memberikan serangkaian pertanyaan yang diajukan oleh peneliti kepada subjek. Hasil tes kemampuan penalaran siswa berdasarkan indikator yang diteliti menunjukkan bahwa siswa dapat mengajukan dugaan (conjectures) mencapai 60,46%, siswa dapat melakukan manipulasi matematika mencapai 54,07%, dan siswa dapat memberikan kesimpulan, menyusun bukti, memberikan alasan atau bukti terhadap beberapa solusi mencapai 50,58%, serta siswa dapat memeriksa kesahihan dari pernyataan mencapai 38,95%, siswa yang memiliki kemampuan penalaran tinggi mampu menguasai keempat indikator kemampuan penalaran matematis. Siswa yang memiliki kemampuan penalaran sedang hanya mampu menguasai tiga indikator kemampuan penalaran matematis. Untuk siswa yang memiliki kemampuan penalaran rendah tidak mampu menguasai keempat indikator kemampuan penalaran matematis.

Abstract: This study aims to describe and analyze the mathematical reasoning abilities of junior high school students with an open-ended approach in mathematics learning, the open-ended approach in this study is applied in the form of open-ended reasoning questions. This study uses descriptive qualitative research methods. The subjects of the population in this study were students of class IX SMP, amounting to 43 students, taking a sample of three students from class IX.A namely one student with high reasoning ability, one student with moderate reasoning ability, and one student with low reasoning abilities. Data collection techniques using a question test instrument in essay mathematical reasoning ability consisting of 4 valid and reliable questions, and by using interviews to obtain data in the form of student responses directly by providing a series of questions posed by researchers to the subject. The results of tests of students' reasoning abilities based on the indicators studied showed that students could submit conjectures reaching 60.46%, students could do mathematical manipulations reaching 54.07%, and students could provide conclusions, compile evidence, provide reasons or evidence against some the solution reaches 50.58%, and students can examine the validity of the statement reaching 38.95%, students who have high reasoning ability are able to master the four indicators of mathematical reasoning ability. Students who have moderate reasoning ability are only able to master three indicators of mathematical reasoning ability. For students who have low reasoning abilities are not able to master the four indicators of mathematical reasoning ability

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Published

2020-04-04

Issue

Vol. 11 No. 1 (2020): April

Section

Articles

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