Melola Discovery

← Melola Discovery

Jurnal SINTA 4

PENALARAN ADAPTIF MATEMATIS SISWA SMP: ANALISIS KESALAHAN PADA MATERI POLA BILANGAN BERDASARKAN RADATZ’S ERROR ANALYSIS

Penalaran Adaptif Matematis Siswa SMP: Analisis Kesalahan pada Materi Pola Bilangan Berdasarkan Radatz’s Error Analysis

De Fermat: Jurnal Pendidikan Matematika · Vol. 9 No. 1 (2026) · pp. 383–395

DOI
10.36277/defermat.v9i1.2462
ISSN
2621-7309, 2621-6078
Published
2026-06-26
Publisher
Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Balikpapan
Language
eng

Abstract

English

This study aims to analyze the mathematical adaptive reasoning ability of eighth-grade junior high school students on number pattern material and identify the types of student errors based on Radatz's Error Analysis. The study used a descriptive quantitative approach with 31 eighth-grade students in a junior high school in Pekanbaru as subjects. The research instrument was two essay questions containing four indicators of mathematical adaptive reasoning, namely proposing conjectures, finding patterns in mathematical phenomena, providing mathematical reasons or proofs, and checking the validity of arguments. Data were analyzed through calculating the average score, the percentage of indicator achievement, and the classification of student errors based on Radatz's Error Analysis. The results showed that the indicator of proposing conjectures had the highest achievement of 79.84%, while the indicator of finding patterns in mathematical phenomena had the lowest achievement of 38.71%. The most dominant errors found were procedural, strategic, and technical errors, accompanied by several cases of language and conceptual errors. These findings indicate that students' mathematical adaptive reasoning abilities still need to be improved, especially in understanding pattern regularities, compiling sequential solution steps, and verifying and reflecting on mathematical solution results

Bahasa Indonesia

Penelitian ini bertujuan untuk menganalisis kemampuan penalaran adaptif matematis siswa kelas VIII SMP pada materi pola populasi serta mengidentifikasi jenis kesalahan siswa berdasarkan Radatz's Error Analysis. Penelitian menggunakan pendekatan deskriptif kuantitatif dengan subjek 31 siswa kelas VIII di salah satu SMP di Pekanbaru. Instrumen penelitian berupa dua soal uraian yang memuat empat indikator penalaran adaptif matematis, yaitu mengajukan dugaan atau konjektur, menemukan pola pada suatu gejala matematis, memberikan alasan atau bukti matematis, serta memeriksa kesahihan argumen. Data dihitung melalui perhitungan skor rata-rata, persentase capaian indikator, dan klasifikasi kesalahan siswa berdasarkan Radatz's Error Analysis. Hasil penelitian menunjukkan bahwa indikator menyampaikan dugaan atau konjektur memiliki capaian tertinggi sebesar 79,84%, sedangkan indikator menemukan pola pada suatu gejala matematis terendah sebesar 38,71%. Kesalahan yang paling dominan ditemukan berupa kesalahan prosedural, strategi, dan teknis, disertai beberapa kasus kesalahan bahasa dan konteks. Temuan ini menunjukkan bahwa kemampuan penalaran adaptif matematis siswa masih perlu ditingkatkan, khususnya pada pemahaman keteraturan pola, penyusunan langkah-langkah penyelesaian yang runtut, serta verifikasi dan refleksi hasil penyelesaian secara matematis.

Keywords

Collaboration network of the authors

2 authors · 1 co-authorship link

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Islam Negeri Sultan Syarif Kasim Riau
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://jurnal.pmat.uniba-bpn.ac.id/index.php/DEFERMAT/oai, first harvested 29 Okt 2026, last seen 1 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en">PENALARAN ADAPTIF MATEMATIS SISWA SMP: ANALISIS KESALAHAN PADA MATERI POLA BILANGAN BERDASARKAN RADATZ’S ERROR ANALYSIS</dc:title>
	<dc:title xml:lang="id">Penalaran Adaptif Matematis Siswa SMP: Analisis Kesalahan pada Materi Pola Bilangan Berdasarkan Radatz’s Error Analysis</dc:title>
	<dc:creator xml:lang="id">Putri, Yuli Kartika</dc:creator>
	<dc:creator xml:lang="id">Muhandaz, Ramon</dc:creator>
	<dc:subject xml:lang="id">Penalaran adaptif matematis, Pola bilangan, Radatz’s Error Analysis.</dc:subject>
	<dc:subject xml:lang="en">mathematical adaptive reasoning</dc:subject>
	<dc:subject xml:lang="en">number patterns</dc:subject>
	<dc:subject xml:lang="en">radatz’s error analysis</dc:subject>
	<dc:description xml:lang="en">This study aims to analyze the mathematical adaptive reasoning ability of eighth-grade junior high school students on number pattern material and identify the types of student errors based on Radatz's Error Analysis. The study used a descriptive quantitative approach with 31 eighth-grade students in a junior high school in Pekanbaru as subjects. The research instrument was two essay questions containing four indicators of mathematical adaptive reasoning, namely proposing conjectures, finding patterns in mathematical phenomena, providing mathematical reasons or proofs, and checking the validity of arguments. Data were analyzed through calculating the average score, the percentage of indicator achievement, and the classification of student errors based on Radatz's Error Analysis. The results showed that the indicator of proposing conjectures had the highest achievement of 79.84%, while the indicator of finding patterns in mathematical phenomena had the lowest achievement of 38.71%. The most dominant errors found were procedural, strategic, and technical errors, accompanied by several cases of language and conceptual errors. These findings indicate that students' mathematical adaptive reasoning abilities still need to be improved, especially in understanding pattern regularities, compiling sequential solution steps, and verifying and reflecting on mathematical solution results</dc:description>
	<dc:description xml:lang="id">Penelitian ini bertujuan untuk menganalisis kemampuan penalaran adaptif matematis siswa kelas VIII SMP pada materi pola populasi serta mengidentifikasi jenis kesalahan siswa berdasarkan Radatz's Error Analysis . Penelitian menggunakan pendekatan deskriptif kuantitatif dengan subjek 31 siswa kelas VIII di salah satu SMP di Pekanbaru. Instrumen penelitian berupa dua soal uraian yang memuat empat indikator penalaran adaptif matematis, yaitu mengajukan dugaan atau konjektur, menemukan pola pada suatu gejala matematis, memberikan alasan atau bukti matematis, serta memeriksa kesahihan argumen. Data dihitung melalui perhitungan skor rata-rata, persentase capaian indikator, dan klasifikasi kesalahan siswa berdasarkan Radatz's Error Analysis. Hasil penelitian menunjukkan bahwa indikator menyampaikan dugaan atau konjektur memiliki capaian tertinggi sebesar 79,84%, sedangkan indikator menemukan pola pada suatu gejala matematis terendah sebesar 38,71%. Kesalahan yang paling dominan ditemukan berupa kesalahan prosedural, strategi, dan teknis, disertai beberapa kasus kesalahan bahasa dan konteks. Temuan ini menunjukkan bahwa kemampuan penalaran adaptif matematis siswa masih perlu ditingkatkan, khususnya pada pemahaman keteraturan pola, penyusunan langkah-langkah penyelesaian yang runtut, serta verifikasi dan refleksi hasil penyelesaian secara matematis.</dc:description>
	<dc:publisher xml:lang="en">Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Balikpapan</dc:publisher>
	<dc:date>2026-06-26</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://jurnal.pmat.uniba-bpn.ac.id/index.php/DEFERMAT/article/view/2462</dc:identifier>
	<dc:identifier>10.36277/defermat.v9i1.2462</dc:identifier>
	<dc:source xml:lang="en">De Fermat : Jurnal Pendidikan Matematika; Vol. 9 No. 1 (2026); 383-395</dc:source>
	<dc:source>2621-7309</dc:source>
	<dc:source>2621-6078</dc:source>
	<dc:source>10.36277/defermat.v9i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://jurnal.pmat.uniba-bpn.ac.id/index.php/DEFERMAT/article/view/2462/243</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 De Fermat : Jurnal Pendidikan Matematika</dc:rights>
</oai_dc:dc>