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Critical Thinking Processes of High School Students in Solving Direct and Inverse Proportions Dyah, Nindya Waspaning; Setianingsih, Rini
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2019: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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Critical thinking skills which are learned by students in mathematics instruction will help students solving problems they encountered in daily life. Direct and inverse proportion is a topic in mathematics which provides opportunity for students to think more critically since it is one of the most cognitively challenging topics in the school curriculum. This research is descriptive in nature aims to describe the critical thinking processes of high school students in solving direct and inverse proportions problems. It used test and interview methods to collect the data, while the subjects consisted of two grade 7 students. The research results show that students perform the following critical thinking processes: (1) conducting interpretation by categorizing what are given and asked, and clarifying meaning in detail; (2) analyzing well by examining ideas and identifying arguments as well as reasons; (3) doing inferences by querying evidence, forming hypothesis, and trying to prove the hypothesis and to draw a conclusion; (4) carrying out evaluation by assessing credibility of claims and quality of arguments before jumping to the next steps, (5) doing explanation by stating results, justifying procedures, and present arguments clearly; (6) performing self-regulation by doing monitoring and correcting what they have done.

Kemampuan Komunikasi Matematis Siswa dalam Menyelesaikan Soal Numerasi Ditinjau dari Self-Efficacy Putri, Aline Fatika; Setianingsih, Rini
MATHEdunesa Vol. 13 No. 3 (2024): Jurnal Mathedunesa Volume 13 Nomor 3 Tahun 2024
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v13n3.p836-845

One goal of mathematical learning in an independent curriculum is to communicate ideas with symbols, tables, diagrams, or other media to clarify a situation or problem, and present a situation into a mathematical symbol or model (communication and mathematical representation). Students must have good and clear communication skills. Communication is not only done by question and answer or by discussion between students and other students, communication can also be done by answering math problems. Communication, self-confidence, and mathematics are considered mutually influential. This study is a descriptive study with a qualitative approach aimed at (1) describing students' mathematical communication ability in solving data material numeration problems and the uncertainties reviewed by high self-efficacy (2) to describe students' mathematical communication ability in resolving problems. The results of this study are (1) The mathematical communication ability of students to solve numeration problems with high self-efficacy was stated to be accurate, smooth but incomplete. Meanwhile, students' verbal communication skills in solving numeration problems with high self-efficacy were stated to be accurate, complete and smooth (2) The mathematical communication ability of students to solve numeration problems with low self-efficacy is stated to be inaccurate, incomplete and not smooth, as there are still scribbles and inaccuracies in solving problems. For verbal mathematical communication skills students solve numeration problems with low self-efficacy are also stated to be inaccurate, incomplete, and not smooth. Students can't solve both writing and verbal problems at all.

Literasi Matematis Siswa SMP dalam Menyelesaikan Soal Matematika Model Pisa dengan Konten Change and Relationship Faradilla, Anisa'a; Wijayanti, Pradnyo; Setianingsih, Rini
Pi: Mathematics Education Journal Vol. 7 No. 2 (2024): Oktober
Publisher : Program Studi Pendidikan Matematika Universitas PGRI Kanjuruhan Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21067/pmej.v7i2.10497

Penelitian ini bertujuan untuk mendeskripsikan literasi matematis siswa SMP dengan skor tes tinggi, sedang, dan rendah dalam menyelesaikan soal matematika model PISA dengan konten change and relationship. Jenis penelitian ini adalah penelitian kualitatif. Penelitian ini dilakukan di kelas IX SMP Negeri 33 Gresik. Subjek penelitian ini sebanyak tiga siswa yang terdiri atas satu siswa dengan tingkat skor tes tinggi, satu siswa dengan tingkat skor tes sedang, dan satu siswa dengan tingkat skor rendah. Instrumen yang digunakan meliputi tes soal matematika model PISA dengan dengan konten change and relationship, pedoman wawancara, dan catatan lapangan. Teknik analisis data yang digunakan meliputi analisis data hasil tes soal matematika model PISA dengan konten change and relationship, dan analisis data wawancara. Hasil penelitian ini menunjukkan bahwa literasi matematis. Siswa dengan skor tes tinggi mampu mengidentifikasi informasi, mengubah masalah ke dalam model matematika, menggunakan strategi yang tepat, menafsirkan hasil ke dalam masalah kontekstual, dan mengevaluasi hasil dengan pengecekan langkah-langkah baik dalam konteks pribadi maupun sosial. Siswa dengan skor tes sedang dapat mengidentifikasi informasi, mengubah masalah ke dalam model matematika, menggunakan strategi yang tepat, menafsirkan hasil ke dalam konteks masalah, dan mengevaluasi hasil dengan pengecekan langkah-langkah baik pda soal dengan konteks pribadi, sedangkan pada konteks sosial siswa dengan skor tes sedang mengalami kesulitan dalam menyelesaikan soal yang diberikan serta siswa tidak dapat menafsirkan dan mengevaluasi hasil. Siswa dengan skor tes rendah mampu mengidentifikasi informasi dan mengubah masalah ke dalam model matematika, namun mengalami kesulitan dalam menggunakan strategi yang tepat, menafsirkan hasil, dan mengevaluasi langkah-langkah, sehingga siswa tidak dapat menyelesaikan soal secara lengkap baik pada konteks pribadi maupun sosial. Hasil penelitian ini memberikan informasi yang berkaitan dengan deskripsi literasi matematis siswa dalam menyelesaikan soal matematika model PISA dengan konten change and relationship. Sehingga, guru dapat merancang strategi pembelajaran yang tepat untuk meningkatkan pemahaman dan kemampuan siswa dalam menyelesaikan soal matematika yang sesuai dengan standar PISA.

Literasi Matematis Siswa SMP dalam Menyelesaikan Soal Matematika Model Pisa dengan Konten Change and Relationship Faradilla, Anisa'a; Wijayanti, Pradnyo; Setianingsih, Rini
Pi: Mathematics Education Journal Vol. 7 No. 2 (2024): Oktober
Publisher : Program Studi Pendidikan Matematika Universitas PGRI Kanjuruhan Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21067/pmej.v7i2.10497

Penelitian ini bertujuan untuk mendeskripsikan literasi matematis siswa SMP dengan skor tes tinggi, sedang, dan rendah dalam menyelesaikan soal matematika model PISA dengan konten change and relationship. Jenis penelitian ini adalah penelitian kualitatif. Penelitian ini dilakukan di kelas IX SMP Negeri 33 Gresik. Subjek penelitian ini sebanyak tiga siswa yang terdiri atas satu siswa dengan tingkat skor tes tinggi, satu siswa dengan tingkat skor tes sedang, dan satu siswa dengan tingkat skor rendah. Instrumen yang digunakan meliputi tes soal matematika model PISA dengan dengan konten change and relationship, pedoman wawancara, dan catatan lapangan. Teknik analisis data yang digunakan meliputi analisis data hasil tes soal matematika model PISA dengan konten change and relationship, dan analisis data wawancara. Hasil penelitian ini menunjukkan bahwa literasi matematis. Siswa dengan skor tes tinggi mampu mengidentifikasi informasi, mengubah masalah ke dalam model matematika, menggunakan strategi yang tepat, menafsirkan hasil ke dalam masalah kontekstual, dan mengevaluasi hasil dengan pengecekan langkah-langkah baik dalam konteks pribadi maupun sosial. Siswa dengan skor tes sedang dapat mengidentifikasi informasi, mengubah masalah ke dalam model matematika, menggunakan strategi yang tepat, menafsirkan hasil ke dalam konteks masalah, dan mengevaluasi hasil dengan pengecekan langkah-langkah baik pda soal dengan konteks pribadi, sedangkan pada konteks sosial siswa dengan skor tes sedang mengalami kesulitan dalam menyelesaikan soal yang diberikan serta siswa tidak dapat menafsirkan dan mengevaluasi hasil. Siswa dengan skor tes rendah mampu mengidentifikasi informasi dan mengubah masalah ke dalam model matematika, namun mengalami kesulitan dalam menggunakan strategi yang tepat, menafsirkan hasil, dan mengevaluasi langkah-langkah, sehingga siswa tidak dapat menyelesaikan soal secara lengkap baik pada konteks pribadi maupun sosial. Hasil penelitian ini memberikan informasi yang berkaitan dengan deskripsi literasi matematis siswa dalam menyelesaikan soal matematika model PISA dengan konten change and relationship. Sehingga, guru dapat merancang strategi pembelajaran yang tepat untuk meningkatkan pemahaman dan kemampuan siswa dalam menyelesaikan soal matematika yang sesuai dengan standar PISA.

Kemampuan Berpikir Komputasional Peserta Didik dengan Kecerdasan Logis Matematis Tinggi dan Sedang dalam Menyelesaikan Bebras Task Putri, Kharisma Dwisinta; Setianingsih, Rini
MATHEdunesa Vol. 14 No. 1 (2025): Jurnal Mathedunesa Volume 14 Nomor 1 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n1.p118-128

Indonesia's Minister of Education and Culture determined Merdeka Belajar Kampus Merdeka Curriculum) in 2019. Computational thinking is one of the skills that supports curriculum development in science and technology. Bebras tasks can be used to practice computational thinking. The research aims to describe the computational thinking abilities of students with high and medium mathematical and logical intelligence in completing bebras tasks. The research method is qualitative descriptive. Instruments in research are logico-mathematical intelligence tests, mathematical ability tests, computational thinking tasks, and interview guides—data analysis through data condensation, data presentation, and conclusions. The subjects in the research are students in class XI SMA Negeri 4 Kediri, one student with high and medium mathematical logical intelligence. The research results show that students with high logico-mathematical intelligence can answer entirely and in detail because they always give reasons that support indicators of problem decomposition, pattern recognition, algorithmic thinking, abstraction, and generalization. Meanwhile, students with medium logico-mathematical intelligence can answer well but do not complete the problem decomposition indicator and have less understanding of questions, so there are errors in calculations on the pattern recognition indicator. Based on the research results, the researcher hopes educators introduce Bebras tasks in mathematics learning to improve computational thinking.

Eksplorasi Etnomatematika pada Industri Gerabah di Desa Rendeng, Kecamatan Malo, Kabupaten Bojonegoro Salsabiila, Fachru Annisa; Setianingsih, Rini
MATHEdunesa Vol. 14 No. 2 (2025): Jurnal Mathedunesa Volume 14 Nomor 2 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n2.p443-459

Culture and mathematics have a close relationship and cannot be separated. One way to connect mathematics learning with everyday life is through the concept of ethnomathematics. Ethnomathematics is an important concept for understanding the role of mathematics in everyday life. By using an ethnomathematics approach, mathematics learning can be delivered contextually according to students' daily lives. Cultural involvement in understanding mathematics through ethnomathematics allows learning to be more relevant and meaningful for students. Therefore, this research was conducted to identify ethnomathematics and ethnomodelling activities found in pottery burning activities in Rendeng Village, Malo District, Bojonegoro Regency. This research is qualitative research with an ethnographic approach. The instruments used in this research were interview guidelines and observation sheets. The subjects in this research were pottery craftsmen in Rendeng Village. Next, the data will be analyzed by condensing data, presenting data, and drawing conclusions. The results of the research show that there are ethnomathematics activities in the pottery firing process, namely counting activities, location determining activities, measuring activities, designing activities, playing activities and explaining activities. There is also ethnomodeling in how to calculate combinations of pottery that can be fired simultaneously to achieve optimal results. The results of this approach are calculations using the simplex method which can be used by teachers as learning material in schools as well as calculations using Excel Solver which can be used by pottery craftsmen in Rendeng Village as a reference for determining the right combination of pottery to achieve optimal results in the pottery firing process. . Thus, the pottery burning activity in Rendeng Village can be a bridge for teachers to teach mathematical concepts at school. The hope is that through this activity, students can more easily understand the mathematical concepts taught in class.

Penalaran Aljabar Siswa Sekolah Menengah Pertama (SMP) dalam Menyelesaikan Soal Open-ended Ditinjau dari Adversity Quotient Dewi, Silvia Kumala; Setianingsih, Rini
MATHEdunesa Vol. 14 No. 2 (2025): Jurnal Mathedunesa Volume 14 Nomor 2 Tahun 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathedunesa.v14n2.p370-387

Algebraic reasoning is the process of finding patterns from mathematical problems, recognizing relationships between quantities, and forming generalizations. Algebraic reasoning is important to develop to build deeper and more complex mathematical conceptual development. One step that can be taken is by giving open-ended questions. Adversity quotient (AQ) influences students in responding to problems. This research is a qualitative descriptive study which aims to describe the algebraic reasoning of students with climber, camper and quitter AQ types in solving open-ended problems. The instrument for determining research subjects is the Adveristy Response Profile (ARP) questionnaire, while the instruments for collecting data are algebraic reasoning tasks and interview guides. Data analysis is carried out through data condensation, data presentation, and drawing conclusions. The subjects in this research were class VIII students at SMPN 3 Surabaya consisting of one student from each type of AQ climber, camper, and quitter. The results of the research show that in the pattern search indicator, climber and camper students collect existing information and find pattern regularities. Quitter students make calculation errors so they do not find pattern regularity. In the pattern recognition indicator, climber and camper students tested the truth of the patterns they had previously obtained, while quitter students did not carry out a truth test because in the previous activity they did not find pattern. In the generalization indicator, climber and camper students make general rules in precise mathematical form. Quitter students do not write general rules on answer sheets and cannot provide explanations during interviews.

Critical Thinking Abilities of Junior High School Students on Numeration Problems in View of Gender Differences Tjitradi, Suphalo Samuel; Setianingsih, Rini; Manoy, Janet Trineke
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 9 No 2 (2025): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas Ivet

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This study aims to describe the critical thinking abilities of masculine male and feminine female junior high school students in solving numeracy problems. This type of research is qualitative research. This research was conducted on class VIII junior high school students in Banjarmasin. The subjects selected for this study were two students consisting of one masculine male student and one feminine female student with equal mathematical ability. The instruments used are gender test sheets, Mathematics Ability Test (MAT), Problem Solving Task (PST), and interview guidelines. Data analysis techniques include analysis of gender test results, analysis of math ability tests, analysis of problem-solving tasks, and analysis of interview data. The results showed that the critical thinking skills of masculine male and feminine female students on numeracy problems could fulfill the five indicators of critical thinking, namely identifying statements and questions/requests in the given situation, applying the steps used to solve the problem, concluding logically from the data submitted, clarifying the conclusions drawn and writing the final result, validating the answers obtained.

Epistemic actions in proving two-triangle problems by considering mathematical reading and writing ability Setianingsih, Rini; Budiarto, Mega Teguh; Jamil, Anis Farida
Journal on Mathematics Education Vol. 16 No. 2 (2025): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v16i2.pp479-496

Mathematical abstraction is essential in constructing mathematical concepts, particularly in proof. The RBC+C epistemic actions—recognizing, building-with, constructing, and consolidating—are key cognitive processes in proof construction. However, the impact of mathematical reading and writing abilities on these processes remains unexplored. This study investigates how students’ mathematical reading and writing abilities affect their epistemic actions when proving the congruence of two triangles. This qualitative research adopts a case study design involving three undergraduate students who have completed a geometry course. The participants were selected based on their reading and writing proficiency levels: high, moderate, and low. Data were collected through reading and writing assessments, proof-solving tasks, and semi-structured interviews. The analysis follows the RBC+C framework to identify patterns in students’ cognitive process during proof construction. Findings reveal that students with high mathematical reading and writing abilities demonstrate a more structured proof strategy, effectively recognizing key properties, building logical connections, and constructing valid arguments. High-proficiency students also exhibit flexibility in using both geometric and algebraic approaches in proving. In contrast, students with lower reading and writing abilities struggle with symbolic representation, logical coherence, and notation consistency, leading to incomplete or incorrect proofs. Moreover, consolidation of mathematical ideas, such as reusing known theorems and revisiting proof steps, occurs more frequently in high-achieving students, enabling deeper conceptual understanding. This study highlights the critical role of mathematical literacy in the proof process. It suggests that strengthening reading and writing instruction in mathematics education can enhance students’ ability to construct rigorous proofs. The findings contribute to the development of instructional strategies that integrate mathematical literacy into proof-based learning, ultimately fostering students’ reasoning and problem-solving skills in mathematics.

PENERAPAN PEMBELAJARAN BERDIFERENSIASI DENGAN ALAT PERAGA BALOK ALJABAR UNTUK MENINGKATKAN HASIL BELAJAR PESERTA DIDIK Setiawati, Erna; Setianingsih, Rini; Kristanti, Dewi
FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Vol. 11 No. 1 (2025): FIBONACCI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Fakultas Ilmu Pendidikan Universitas Muhammadiyah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24853/fbc.11.1.35-42

Students frequently receive grades that fall short of the school's Minimum Mastery Criteria, particularly in the algebra chapter, specifically the topic of evaluating algebraic expressions. This occurs as a result of pupils' lack of understanding of variables and how to substitute variable values in algebraic forms. As a result, many students make mistakes when changing variable values, and their learning objectives are seen to be unfinished. The aim of this study was to determine whether using a differentiated learning model with the Teaching at the Right Level approach and algebraic block teaching aids improved the learning outcomes of class VIII students at SMP Negeri 25 Surabaya on the content on the value of algebraic forms. Using the Kemmis & McTaggart approach, this study is an example of classroom action research. The study's findings indicate that students are learning more about the importance of algebraic forms. The pre-cycle, cycle I, and cycle II learning completion rates for students were 14.7%, 64.7%, and 88.2%, respectively. This demonstrates how using a customized learning model in conjunction with algebraic block teaching aids and the Teaching at the Right Level strategy can enhance student learning outcomes.

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