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Analysis of Students' Mathematical Thinking Processes in Solving Mathematical Problems

Analisis Proses Berpikir Matematis Siswa dalam Menyelesaikan Soal Pemecahan Masalah Matematika

Edumatica : Jurnal Pendidikan Matematika · Vol. 12 No. 2 (2022) · pp. 160–169

DOI
10.22437/edumatica.v12i02.15647
ISSN
2580-0779, 2088-2157
Published
2022-08-31
Publisher
Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi
Language
id
License
creativecommons.org/licenses/by-nc-sa/4.0

Abstract

English

Mathematics learning activities in schools tend to emphasize students to be able to solve problems with existing formulas. Likewise, teachers who pay less attention to and practice various problem-solving strategies. Thus, students are less able to express their thinking processes. This study aims to determine the students' mathematical thinking processes in solving mathematical problem-solving problems given. This type of research is descriptive qualitative with research subjects consisting of 6 students of class X Social Sciences SMA Islam Plus Adzkia Medan selected by purposive sampling method. The data collection technique was carried out using research instruments in the form of a description test which amounted to 3 questions and interviews. The results showed that the thinking processes used by students in solving problems were different. There are several problem-solving strategies used by students as a form of their thinking process. In the first question, there are three strategies used by students, namely act it out (conducting experiments), logical thinking, and different points of view. In the second question, all students used the strategy of registering all the possible answers that were explained directly or using the strategy of making tables. For the third question, there are two thinking strategies, namely by using formulas and strategies to find patterns. However, it was also found that there were still students who had inappropriate thinking processes.

Indonesian

Kegiatan pembelajaran matematika sekolah cenderung menekankan siswa untuk mampu menyelesaikan permasalahan dengan rumus yang ada. Begitu pula dengan guru yang kurang memperhatikan dan melatih berbagai strategi pemecahan masalah. Sehingga, siswa kurang mampu mengekspresikan proses berpikir yang ia miliki. Penelitian ini bertujuan untuk mengetahui proses berpikir matematis siswa dalam menyelesaikan soal pemecahan masalah matematika yang diberikan. Jenis penelitian ini adalah kualitatif deskriptif dengan subjek penelitian terdiri dari 6 orang siswa kelas X IPS SMA Islam Plus Adzkia Medan yang dipilih dengan metode purposive sampling. Teknik pengumpulan data dilakukan dengan menggunakan instrument penelitian berupa tes uraian yang berjumlah 3 soal dan wawancara. Hasil penelitian diperoleh bahwa proses berpikir yang digunakan siswa dalam menyelesaikan permasalahan berbeda-beda. Terdapat beberapa strategi pemecahan masalah yang digunakan siswa sebagai bentuk dari proses berpikirnya. Pada soal pertama, terdapat tiga strategi yang digunakan siswa, yaitu act it out (melakukan percobaan), berpikir logis, dan sudut pandang berbeda. Pada soal kedua, seluruh siswa menggunakan strategi mendaftarkan semua kemungkinan jawaban yang ada dengan dijabarkan langsung atau menggunakan strategi membuat tabel. Untuk soal ketiga, terdapat dua strategi berpikir yaitu dengan menggunakan rumus dan strategi menemukan pola. Namun, diperoleh pula bahwa masih adanya siswa yang memiliki proses berpikir yang kurang tepat.

Keywords

Collaboration network of the authors

40 authors · 125 co-authorship links · 38 across different organisations · showing the 40 most connected

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

  • Indonesia University of Education
  • Utrecht University
  • Tadulako University
  • IKIP Siliwangi
  • Universitas PGRI Semarang
  • Serang Raya University
  • Pakuan University
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Darhim DarhimIndonesia University of Education7
Didi SuryadiIndonesia University of Education4
Dadan DasariIndonesia University of Education3
Eritha Dewi FebriantyAffiliation unknown3
Ikbal PaujiAffiliation unknown3
Jarnawi Afgani DahlanIndonesia University of Education3
Al JupriIndonesia University of Education3
Wahyudin WahyudinTadulako University2
Aan HasanahIndonesia University of Education2
Edi SupriyadiIndonesia University of Education2
Turmudi TurmudiIndonesia University of Education2
Yaya Sukjaya KusumahIndonesia University of Education2
TurmudiAffiliation unknown2
Muhammad Ghiyats RistianaIndonesia University of Education2
Al JupriAffiliation unknown2
Adi NurjamanIndonesia University of Education1
Wahyu HidayatIKIP Siliwangi1
Widya KusumaningsihUniversitas PGRI Semarang1
Rina OktaviyanthiSerang Raya University1
Kurniati KurniatiPakuan University1
Jozua SabandarIndonesia University of Education1
Puri PramudianiIndonesia University of Education1
Maarten DolkUtrecht University1
Michiel DoormanUtrecht University1
Lina NurhayatiIndonesia University of Education1
Yullys HelsaUniversitas Negeri Padang1
Tri Nova Hasti YuniantaSatya Wacana Christian University1
Sugama MaskarIndonesia University of Education1
Agus HendriyantoIndonesia University of Education1
Riyan HidayatUniversiti Putra Malaysia1
Yousef WardatHigher Colleges of Technology1
Surya KurniawanAffiliation unknown1
Sukri SukriAffiliation unknown1
Cyndana Kartika PutriAffiliation unknown1
Suhendra SuhendraAffiliation unknown1
Syifa MardliyahAffiliation unknown1

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://online-journal.unja.ac.id/index.php/edumatica/oai, first harvested 6 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Analysis of Students' Mathematical Thinking Processes in Solving Mathematical Problems</dc:title>
	<dc:title xml:lang="id">Analisis Proses Berpikir Matematis Siswa dalam Menyelesaikan Soal Pemecahan Masalah Matematika</dc:title>
	<dc:creator xml:lang="en">Khairunnisa, Khairunnisa</dc:creator>
	<dc:creator xml:lang="en">Herman, Tatang</dc:creator>
	<dc:creator xml:lang="en">Juandi, Dadang</dc:creator>
	<dc:creator xml:lang="en">Siagian, Qania Agustika </dc:creator>
	<dc:creator xml:lang="id">Khairunnisa, Khairunnisa</dc:creator>
	<dc:creator xml:lang="id">Herman, Tatang</dc:creator>
	<dc:creator xml:lang="id">Juandi, Dadang</dc:creator>
	<dc:creator xml:lang="id">Siagian, Qania Agustika </dc:creator>
	<dc:subject xml:lang="id">pemecahan masalah</dc:subject>
	<dc:subject xml:lang="id">proses berpikir</dc:subject>
	<dc:subject xml:lang="id">strategi pemecahan masalah</dc:subject>
	<dc:subject xml:lang="en">problem solving</dc:subject>
	<dc:subject xml:lang="en">problem solving strategy</dc:subject>
	<dc:subject xml:lang="en">thinking process</dc:subject>
	<dc:description xml:lang="en">Mathematics learning activities in schools tend to emphasize students to be able to solve problems with existing formulas. Likewise, teachers who pay less attention to and practice various problem-solving strategies. Thus, students are less able to express their thinking processes. This study aims to determine the students' mathematical thinking processes in solving mathematical problem-solving problems given. This type of research is descriptive qualitative with research subjects consisting of 6 students of class X Social Sciences SMA Islam Plus Adzkia Medan selected by purposive sampling method. The data collection technique was carried out using research instruments in the form of a description test which amounted to 3 questions and interviews. The results showed that the thinking processes used by students in solving problems were different. There are several problem-solving strategies used by students as a form of their thinking process. In the first question, there are three strategies used by students, namely act it out (conducting experiments), logical thinking, and different points of view. In the second question, all students used the strategy of registering all the possible answers that were explained directly or using the strategy of making tables. For the third question, there are two thinking strategies, namely by using formulas and strategies to find patterns. However, it was also found that there were still students who had inappropriate thinking processes.</dc:description>
	<dc:description xml:lang="id">Kegiatan pembelajaran matematika sekolah cenderung menekankan siswa untuk mampu menyelesaikan permasalahan dengan rumus yang ada. Begitu pula dengan guru yang kurang memperhatikan dan melatih berbagai strategi pemecahan masalah. Sehingga, siswa kurang mampu mengekspresikan proses berpikir yang ia miliki. Penelitian ini bertujuan untuk mengetahui proses berpikir matematis siswa dalam menyelesaikan soal pemecahan masalah matematika yang diberikan. Jenis penelitian ini adalah kualitatif deskriptif dengan subjek penelitian terdiri dari 6 orang siswa kelas X IPS SMA Islam Plus Adzkia Medan yang dipilih dengan metode purposive sampling. Teknik pengumpulan data dilakukan dengan menggunakan instrument penelitian berupa tes uraian yang berjumlah 3 soal dan wawancara. Hasil penelitian diperoleh bahwa proses berpikir yang digunakan siswa dalam menyelesaikan permasalahan berbeda-beda. Terdapat beberapa strategi pemecahan masalah yang digunakan siswa sebagai bentuk dari proses berpikirnya. Pada soal pertama, terdapat tiga strategi yang digunakan siswa, yaitu act it out (melakukan percobaan), berpikir logis, dan sudut pandang berbeda. Pada soal kedua, seluruh siswa menggunakan strategi mendaftarkan semua kemungkinan jawaban yang ada dengan dijabarkan langsung atau menggunakan strategi membuat tabel. Untuk soal ketiga, terdapat dua strategi berpikir yaitu dengan menggunakan rumus dan strategi menemukan pola. Namun, diperoleh pula bahwa masih adanya siswa yang memiliki proses berpikir yang kurang tepat.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi</dc:publisher>
	<dc:date>2022-08-31</dc:date>
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	<dc:identifier>https://online-journal.unja.ac.id/edumatica/article/view/15647</dc:identifier>
	<dc:identifier>10.22437/edumatica.v12i02.15647</dc:identifier>
	<dc:source xml:lang="en">Edumatica : Jurnal Pendidikan Matematika; Vol. 12 No. 2 (2022): Edumatica: Jurnal Pendidikan Matematika (August 2022); 160-169</dc:source>
	<dc:source xml:lang="id">Edumatica : Jurnal Pendidikan Matematika; Vol 12 No 2 (2022): Edumatica: Jurnal Pendidikan Matematika; 160-169</dc:source>
	<dc:source>2580-0779</dc:source>
	<dc:source>2088-2157</dc:source>
	<dc:language>id</dc:language>
	<dc:relation>https://online-journal.unja.ac.id/edumatica/article/view/15647/14117</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2022 Khairunnisa Khairunnisa, Tatang Herman, Dadang Juandi, Qania Agustika  Siagian</dc:rights>
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