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Collaborative Problem-Solving Phase in Mathematics: A Case Study in Geometric Problem-Solving Khusna, Arif Hidayatul; Putri Rosyadi, Alfiani Athma; Nadlifah, Minatun
AT-TA'LIM Vol 31, No 2 (2024)
Publisher : Institut Agama Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jt.v32i1.931

Abstract

Problem-solving is an activity that can support knowledge construction. Polya, Mason, and Schoenfeld see the problem-solving process as an activity carried out in an individual context. A person's activities cannot be separated from individual interactions. Collaborative Problem-Solving (CPS) is a situation where students must use problem-solving and communication skills in group work to solve a problem. This research examines the stages of collaborative problem-solving in case studies of geometric problem-solving. This research is a case study type with a qualitative approach. The research subjects were class X high school students. The research instruments used were collaborative plane geometry problem-solving questions and interview guidelines. The data collection method was carried out by providing collaborative problem-solving tasks and interviews. The recording was carried out during the assignment using an audio recorder to see the collaborative mathematical problem-solving phase. The research results show that problem-solving starts with discussing, conjecturing, building solutions, communicating reasoning, and extending. The problem-solving phase is cyclical at certain stages, namely discuss – conjecture – build solution – discuss. Meanwhile, critique merges the discussion, conjecture, solution-building, and communication reasoning stages. The finding of the CPS phase in this research is that it has cyclical stages. It combines the critique stages in each CPS phase and can be considered if different CPS phases are documented. Apart from that, it can be a consideration for students that the problem-solving stages in collaboration are more flexible.
PELATIHAN PENYUSUNAN PERANGKAT PEMBELAJARAN BERBASIS PROJECT BASED LEARNING (PJBL) DI SMA NEGERI 2 LUMAJANG Arif Hidayatul Khusna; Baiduri Baiduri; Alfiani Athma Putri Rosyadi
GANESHA: Jurnal Pengabdian Masyarakat Vol. 5 No. 1 (2025): Januari 2025
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat Universitas Tunas Pembangunan Surakarta (UTP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36728/ganesha.v5i1.4429

Abstract

Kurikulum merdeka didesain lebih adaptif berfokus pada materi yang esensial berbasis pada pengembangan karakter dan kemampuan peserta didik. Pembelajaran berbasis proyek atau lebih dikenal sebagai project-based learning (PjBL) menjadi sistem pembelajaran utama pada kurikulum merdeka ini. Penerapan pembelajaran berbasis PjBL tentu memerlukan beberapa kesiapan terutama dari pihak guru sebagai fasilitator utama dalam pembelajaran. Perangkat pembelajaran merupakan hal utama yang perlu dipersiapkan oleh guru. Berdasarkan hasil wawancara dengan pihak sekolah, guru di SMA Negeri 2 Lumajang mengalami kesulitan dalam menyusun perangkat pembelajaran berbasis PjBL. Dengan demikian, pengabdian dilaksanakan bagi guru di SMA Negeri 2 yang belum pernah memperoleh pelatihan berkaitan dengan penyusunan instrumen pembelajaran berbasis PjBL. Kegiatan pengabdian terlaksana dengan baik dan menghasilkan luaran perangkat pembelajaran berbasis PjBL.
Students' mathematical errors in solving literacy and numeracy problems Rosyadi, Alfiani Athma Putri; Kafifah, Anisa; Cholily, Yus Mochamad; Inganah, Siti
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 9 Issue 2 April 2024
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v9i2.10464

Abstract

Numeracy literacy constitutes one of the core domains evaluated in an assessment administered by the Ministry of Religious Affairs, referred to as AKMI. This assessment functions as a comprehensive diagnostic tool to identify students’ proficiencies and deficiencies across three key literacy areas: reading, numeracy, and science. This study employed a descriptive qualitative approach, with fifth-grade students as the subjects. The research instruments included a mathematics ability test, a literacy and numeracy assessment, and semi-structured interview guidelines. The students’ problem-solving processes were analyzed through four stages: understanding the problem, devising a plan, executing the plan, and evaluating the solution. Findings revealed that students with low mathematical ability frequently encountered difficulties in the planning, execution, and evaluation stages, which collectively accounted for 29.4% of the total errors. A smaller proportion (5.88%) struggled with understanding the problem, while another 5.88% did not exhibit notable errors. Students with moderate ability demonstrated errors in the planning, execution, and evaluation phases, each contributing 25% to the overall errors; however, they showed no difficulty in identifying knowns and unknowns in the problems. High-ability students generally solved the problems without major issues, with 62.5% of their responses being accurate and error-free. Geometry-related problems posed the greatest challenge across all ability levels, resulting in a higher incidence of errors.
Analysis of Mathematical Communication Skills of Grade X MA Students on the Material of Trigonometric Function Graphs Aided by Geogebrabook Yustiani, Novita Rizki; Rosyadi, Alfiani Athma Putri; Cholily, Yus Mochamad
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol 13, No 3: July 2025
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v13i3.15489

Abstract

Mathematics is a supporting science for other branches of science as a medium for communicating mathematical problem solving. One of the abilities that must be possessed by students is the ability to communicate in trigonometry material. In this research, only 36.7% of students correctly identified the transformation of trigonometric function graphs in question number 9. However, there were some students whose explanations were not precise because their understanding of the material was not correct.. The purpose of this study is to analyze the mathematical communication skills of grade X MA students in the material of trigonometric function graphs. In this research, a qualitative research type with a descriptive approach is used. The test of mathematical communication ability in writing is in the form of a test that is done independently and tested on 6 students with a group of 2 high ability students, 2 medium ability students, and 2 ability students with the need for further guidance. While the test of mathematical communication skills orally answered together through the interview method. The significance of this research is the students become more focused in learning because students are instructed to do activities by shifting the slider so that the intended graph is formed according to the instructions of the given problem. The conclusion drawn from the results of the research conducted is that mathematical communication in the material of trigonometric function graphs is relatively low, both in writing and orally. This is based on the percentage in the analysis test of mathematical communication skills in writing where students answered 10 out of 18 items had below 50% incorrect written response rates, compared to 8 other items that students could answer correctly with a score above 50%, while in the oral mathematical communication ability analysis test there are still misconceptions in every question asked. This is based on this research data that some students still answer the items incorrectly.
Student’s Mathematics Ability in Written Communication Based on Van Hiele's Theory and Gender Putri Rosyadi, Alfiani Athma; Yus Mochamad Cholily; Abdul Latief; Siti Salina Mustakim
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 1 (2025): Hipotenusa : Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i1.3495

Abstract

The student's ability to express and understand mathematical ideas in writing; Whether in tables, formulas, diagrams, drawings, or demonstrations, is called the student's written mathematical communication skills. Van Hiele's theory divides students' development in learning geometry into five levels, namely from level 0 to level 4. The purpose of this study is to find out students' mathematics ability in written communication based on Van Hiele's theory which is reviewed from gender differences. This research is a qualitative descriptive research. Students' mathematical communication skills at level 4: (1) can visually classify flat shapes, (2) can describe flat shapes visually, (3) can show the characteristics of flat shapes through pictures, (4) can write the relationships of concepts on flat shapes well, (5) can write how to determine the area and circumference of flat shapes, (6) can use terms and notation to present data. Meanwhile, level 1 students are still not able to describe the shapes of flat buildings visually well and are not able to write down the relationship of concepts on flat buildings well. In addition, related to gender, some aspects are superior to men and others are superior to women.
Development of mathematical monopoly game to improve mathematical communication ability Rosyadi, Alfiani Athma Putri; Wardani, Shafanda Setya; Cholily, Yus Mochamad
Al-Jabar: Jurnal Pendidikan Matematika Vol 16 No 1 (2025): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v16i1.27011

Abstract

Purpose: This study aimed to design and develop a math monopoly board game as a learning tool to boost students’ mathematical communication skills. The motivation for this research comes from the need to improve both written and oral communication abilities in mathematics among middle school students. Method: The research followed a research and development (R&D) approach using the ADDIE model, which includes the phases of Analysis, Design, Development, Implementation, and Evaluation. The math monopoly game was created and validated by experts in the field, and then tested with eight eighth-grade students from SMP Muhammadiyah 09 Gondanglegi, selected using purposive sampling. Data were collected using validation sheets, questionnaires, and interview guides. The effectiveness of the game was assessed using descriptive statistics and paired sample t-tests to measure students’ mathematical communication before and after the intervention. Findings: The findings showed that the developed monopoly game was highly valid and practical as a learning medium according to both experts and students. Playing the game led to a significant improvement in students’ written mathematical communication, as seen in their increased test scores after using the game. However, there was little change in students’ oral mathematical communication, suggesting that simply playing the game is not enough to foster verbal interaction, and that additional support from teachers during play is important. Significance: This research highlights the potential of game-based learning to make mathematics lessons more engaging and to improve students’ ability to express mathematical ideas in writing. It also points out the need for teacher involvement and further strategies to help students improve their oral communication in mathematics.
Development of "LELI" Application to Enhance Mathematics Critical Thinking of Quality Generations in Society 5.0 Era Rosyadi, Alfiani Athma Putri; Aulia Firdaus Azzahra; Meisya Andjani Nagaya Dara; Vina Ananda Aprilia
Kreano, Jurnal Matematika Kreatif-Inovatif Vol. 16 No. 1 (2025): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : UNNES JOURNAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v16i1.17347

Abstract

Students' mathematical critical thinking skills are one of the important competencies that need to be developed to face the challenges of the Society 5.0 era. However, conventional learning, which is less interactive, is often an obstacle to improving these abilities. This study aims to develop an interactive learning application called "LELI" to enhance junior high school students' mathematical critical thinking skills in the context of integer material. This type of research is a development approach utilizing the Research and Development (R&D) method in conjunction with the ADDIE (Analysis, Design, Development, Implementation, Evaluation) model. The subjects of this study were grade VII junior high school students in the Merdeka Curriculum. Data collection techniques included observation, unstructured interviews, and tests. Data collection instruments used expert validation sheets, student response questionnaire sheets, and pre-tests and post-tests. The results showed that the "LELI" application was valid (77%), very practical (95.95%), and effective in improving critical thinking skills, with the average student score increasing from 65% (good) to 85% (very good). Based on the results obtained, the "LELI" application is valid, practical, and effective in improving the critical thinking skills of junior high school students in learning mathematics on integer material. These findings suggest that the "LELI" application can be a strategic solution for educators to enhance critical mathematical thinking skills in alignment with the demands of the Society 5.0 era. Abstrak Kemampuan berpikir kritis matematis siswa menjadi salah satu kompetensi penting yang perlu dikembangkan untuk menghadapi tantangan era Society 5.0. Namun, pembelajaran konvensional yang kurang interaktif seringkali menjadi kendala dalam meningkatkan kemampuan tersebut. Penelitian ini bertujuan untuk mengembangkan aplikasi pembelajaran interaktif bernama "LELI" untuk meningkatkan kemampuan berpikir kritis matematis siswa SMP pada materi bilangan bulat. Jenis penelitian ini adalah pengembangan menggunakan metode Research and Development (R&D) dengan model ADDIE (Analysis, Design, Development, Implementation, Evaluation). Subjek penelitian ini adalah siswa kelas VII SMP pada kurikulum merdeka. Teknik pengumpulan data berupa observasi, wawancara secara tidak terstruktur, dan tes. Instrumen pengumpulan data menggunakan lembar validasi ahli, lembar angket respon siswa, serta pre-test dan post-test. Hasil menunjukkan aplikasi "LELI" valid (77%), sangat praktis (95,95%), dan efektif meningkatkan kemampuan berpikir kritis, dengan score rata-rata siswa meningkat dari 65% (baik) menjadi 85% (sangat baik). Berdasarkan hasil yang diperoleh, maka aplikasi "LELI" valid, praktis, dan efektif untuk meningkatkan kemampuan berpikir kritis siswa SMP pada pembelajaran matematika materi bilangan bulat. Temuan ini menunjukkan bahwa aplikasi “LELI” dapat menjadi solusi strategis bagi para pendidik untuk meningkatkan kemampuan berpikir kritis matematis yang sejalan dengan tuntutan era society 5.0.
Analysis of Mathematical Communication Skills of Grade X MA Students on the Material of Trigonometric Function Graphs Aided by Geogebrabook Yustiani, Novita Rizki; Rosyadi, Alfiani Athma Putri; Cholily, Yus Mochamad
Prisma Sains : Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram Vol. 13 No. 3: July 2025
Publisher : Universitas Pendidikan Mandalika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33394/j-ps.v13i3.15489

Abstract

Mathematics is a supporting science for other branches of science as a medium for communicating mathematical problem solving. One of the abilities that must be possessed by students is the ability to communicate in trigonometry material. In this research, only 36.7% of students correctly identified the transformation of trigonometric function graphs in question number 9. However, there were some students whose explanations were not precise because their understanding of the material was not correct. The purpose of this study is to analyze the mathematical communication skills of grade X MA students in the material of trigonometric function graphs. In this research, a qualitative research type with a descriptive approach is used. The test of mathematical communication ability in writing is in the form of a test that is done independently and tested on 6 students with a group of 2 high ability students, 2 medium ability students, and 2 ability students with the need for further guidance. While the test of mathematical communication skills orally answered together through the interview method. The significance of this research is the students become more focused in learning because students are instructed to do activities by shifting the slider so that the intended graph is formed according to the instructions of the given problem. The conclusion drawn from the results of the research conducted is that mathematical communication in the material of trigonometric function graphs is relatively low, both in writing and orally. This is based on the percentage in the analysis test of mathematical communication skills in writing where students answered 10 out of 18 items had below 50% incorrect written response rates, compared to 8 other items that students could answer correctly with a score above 50%, while in the oral mathematical communication ability analysis test there are still misconceptions in every question asked. This is based on this research data that some students still answer the items incorrectly.
ANALYSIS OF VERBAL MATHEMATICAL COMMUNICATION IN OPEN-ENDED PROBLEM SOLVING Susilowati, Indri; Yus Mochamad Cholily; Alfiani Athma Putri Rosyadi; Akhsanul In'am
Jurnal Tunas Pendidikan Vol. 8 No. 1 (2025): JURNAL TUNAS PENDIDIKAN
Publisher : LPPM Universitas Muhammadiyah Muara Bungo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52060/pgsd.v8i1.3321

Abstract

The ability to communicate mathematical ideas orally is crucial for studying mathematics. One way to measure oral communication skills is by presenting an open-ended problem to students. This study aims to illustrate how students solve open-ended issues using oral mathematical communication skills. The methodology is a qualitative descriptive study; the subject of the research is grade VIII junior high school students with low, medium, and high levels of mathematical ability to communicate when working on open-ended problems. From this study, students who have a low level of communication ability have not met all the indicators optimally, because the understanding of symbols and their use is still weak. Students in the medium level that satisfy the markers of mathematical communication, because the notation used is appropriate and consistent and students can provide concise, clear, and thorough explanations. Students with high categories meet all indicators very well, because they are able to use complete and accurate mathematical symbol and students can provide concise, clear, and reflective explanations. Students in lower categories' have not fully satisfied all of the requirements for mathematical communication. The medium-level pupils satisfy the requirements for mathematical communication. Students with high categories meet all mathematical communication indicators very well.
Analysis of Mathematics Learning Based on Minimum Competency Assessment in the 2013 Curriculum at SMP Muhammadiyah 1 Malang Oktaviana, Rani; Effendi, Moh. Mahfud; Rosyadi, Alfiani Athma Putri
Mosharafa: Jurnal Pendidikan Matematika Vol. 12 No. 4 (2023): October
Publisher : Department of Mathematics Education Program IPI Garut

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31980/mosharafa.v12i4.1195

Abstract

Kementerian Pendidikan dan Kebudayaan menciptakan Asesmen Kompetensi Minimum (AKM) sebagai pengganti Ujian Nasional. Dengan adanya AKM diharapkan siswa mampu mewujudkan kemampuan pemecahan masalah dan berpikir kritis. Penelitian ini menganalisis kesesuaian pembelajaran matematika berbasis AKM di SMP Muhammadiyah 1 Malang. SMP Muhammadiyah 1 Malang menggunakan kurikulum 2013 yang selaras dengan AKM. Penelitian ini menggunakan metode deskriptif dengan pendekatan kualitatif, dengan metode pengumpulan data yaitu dokumen, observasi, dan wawancara. Dengan tujuan penelitian ini maka hasil yang diperoleh dari penelitian ini adalah pembelajaran matematika di SMP Muhammadiyah 1 Malang sudah mengikuti AKM literasi dan numerasi, dilihat dari perangkat pembelajaran yaitu, RPP, RPS, buku media pembelajaran, dan website AKM, dan metode pembelajaran. Populasi yang digunakan adalah siswa kelas VII SMP Muhammadiyah 1 Malang. Sampel yang digunakan adalah 30 siswa kelas VIII. Penelitian ini menggunakan instrumen wawancara dan observasi. The Ministry of Education and Culture created the Minimum Competency Assessment (AKM) as a substitute for the National Examination. With the existence of AKM, it is hoped that students will be able to realize their problem-solving and critical-thinking skills. This research analyzes the suitability of AKM-based mathematics learning at SMP Muhammadiyah 1 Malang. Muhammadiyah 1 Middle School Malang uses the 2013 curriculum, which aligns with AKM. This research uses a descriptive method with a qualitative approach, with data collection methods, namely documents, observations, and interviews. With the aim of this research the results obtained from this research are that mathematics learning at SMP Muhammadiyah 1 Malang is following AKM literacy and numeracy, which is viewed from learning tools, namely, RPP, RPS, learning media books, and AKM websites, and learning methods. The population used was class VII students of SMP Muhammadiyah 1 Malang. The sample used was 30 class VIII students. This research uses interview and observation instruments.
Co-Authors Abdul Hamid Abdul Latief Adi Slamet Kusumawardana Adimas Eko Permadi Adityo Adityo, Adityo Afolaranmi, Adebayo Ola Agung Deddiliawan Ismail Agung Deddiliawan Ismail Agung Dediliawan Ismail Ahsanul Inam Akhsanul In'am Anis Farida Jamil Aprilia, Vina Ananda Arif Hidayatul Khusna Aulia Firdaus Azzahra Azizah Azizah Azzahra, Aulia Firdaus Baiduri Baiduri Beti Istanti Suwandayani Beti Istanti Suwandayani Cholis Sa’dijah Dini Okta Amelia Dwi Priyo Utomo Dwi Priyo Utomo Dyah Worowirastri Ekowati Elli Kusumawati Erinda Titik Rizki Fani Erna Yayuk Erna Yayuk Fani, Erinda Titik Rizki Galih Azhar Ramadhan Iindarti, Iindarti In’am, Akhsanul In’am, Akhsanul Jihan Nur Aini Joshua Abah Kafifah, Anisa Kartikasari Kartikasari Khoiriyah, Makrifatul Khusnul Khotimah Lamina Lamina Latifah Mustofa Lestyanto Marhan Taufik Maulidyah Firdausi Mayang Dintarini Mayang Dintarini Mayang Dintarini Mayang Dintarini Meisya Andjani Nagaya Dara Minatun Nadlifah Minatun Nadlifah Moh. Mahfud Effendi Mohammad Syaifuddin Mukhammad Danisworo Nur Hidayah Octavina Rizky Putri Utami Oktavia Kurniawati Putri Oktaviana, Rani Permadi, Adimas Eko Putri, Oktavia Kurniawati Reni Dwi Susanti Reni Dwi Susanti Reny Dwi Susanti Resti Wahyu Mutiaradifa Rini Lidiawati Rizal Dian Azmi Shania, Faridatus Shilviana Dwi Fitdyawati Siti Inganah Siti Khoiruli Ummah Siti Salina Mustakim Suciati, Nur Susilowati, Indri Susiswo Swasono Rahardjo Usmiyatun Usmiyatun Utami, Octavina Rizky Putri Vina Ananda Aprilia Wardani, Shafanda Setya Wiwik Sugiarti Worowirastri E., Dyah Yayik, Erna Yus M. Cholily Yus M. Cholily Yus Mochamad Cholily Yustiani, Novita Rizki Zattira Nadira Rahma Zharla Zetira Aszahra