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PROSES BERPIKIR REFLEKTIF SISWA KELAS X MAN NGAWI DALAM PEMECAHAN MASALAH BERDASARKAN LANGKAH KRULIK DAN RUDNICK DITINJAU DARI KEMAMPUAN AWAL MATEMATIKA Masamah, Ulfa; Sujadi, Imam; Riyadi, Riyadi
Journal of Mathematics and Mathematics Education Vol 5, No 1 (2015): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (338.424 KB)

Abstract

 Abstract: The aim of this research was to describe reflective thinking process of 10th grade MAN Ngawi students with different initial mathematics capability (high, normal, low) in solving problems based on Krulik and Rudnick steps. This research was a kind of qualitative research on a case study. The collecting data in this study used task-based on interview method. The analyzed of the data in this study did with reducing the data, presenting the data, and conclusing the data. The results of this research were: 1) on reading and thinking step, students with normal and low initial mathematics capability convince what they read and thought correctly by reading repeatedly. Students with high initial mathematics capability did it by reading and understanding each question sentences repeatedly; 2) on exploring and planing step, selecting and considering information, both students with high and normal initial mathematics capability did these steps by information identification and analysis of main problems and conditions; to convince that initial problem solving planning was right, they did it by organizing problem and deciding the initial steps planned; 3) on selecting a strategy step, to consider confidently the problem solving step based on information obtained, students with high initial mathematics capability did the step by exploring initial problem solving strategy and using representation result by trial-error and guessing test, concerning problem solving pattern, and recheck every step done. Students with normal initial capability did it by exploring initial problem solving strategy and using representation result by trial-error step, making proper initial plan by question stimulation. 4) on finding an answer step, to understand each steps based on selected problem solving strategy, both students with high and normal initial mathematics capability did it by (a) ascertain formula that used for the area of that shapes, triangle area if known two sides which flank an angle, and comparing trigonometry on special angle correctly (students with normal capability used question stimuly); (b) trying repeatedly using selected patterns and recheck every step and calculation done; and (c) aware of each mistakes (computation, formula, way, and writing) and fixed them (students with normal capability needed question stimuly and wrong answering strategy). Student with high initial capability combined the process by paying attention and rechecking every steps and calculation by step back process. 5) on reflecting and extending step, to considering results and problems, students with high initial mathematics capability did it by reflection to get solution and rechecking by verification process. Students with normal capability did it by rechecking and looking back the problem and result obtained. In every steps, students with high initial mathematics capability always used intuition and self-questioning to convince the step done. 10th grade MAN Ngawi students with low initial mathematics capability did not use reflective thinking in problem solving based on Krulik and Rudnick.Keywords: Process, reflective thinking, problem solving, and initial mathematics capability.
PENINGKATAN KEMAMPUAN BERPIKIR REFLEKTIF MATEMATIS SISWA SMA MELALUI PEMBELAJARAN BERBASIS MASALAH DITINJAU DARI KEMAMPUANAWAL MATEMATIKA Masamah, Ulfa
JURNAL PENELITIAN PENDIDIKAN MATEMATIKA Vol 1, No 1 (2017): JURNAL PENELITIAN PENDIDIKAN MATEMATIKA
Publisher : Universitas Muhammadiyah Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32502/jp2m.v1i1.680

Abstract

Penelitian ini bertujuan untukmenelaah peningkatan kemampuan berpikir reflektif matematis siswa, sebagai akibat dari penggunaan pembelajaran berbasis masalah ditinjau dari kemampuan awal matematika. Jenis penelitian ini merupakan penelitian eksperimen semu dengan desain kelompok kontrol non ekuivalen (The Non Equivalent Control Group Design). Penelitian ini dilakukan di MAN Ngawi. Hasil penelitian menyimpulkan bahwa peningkatan kemampuan berpikir reflektif matematis siswa yang memperoleh pembelajaran berbasis masalah lebih baik secara signifikan dibanding dengan siswa yang memperoleh pembelajaran konvensional ditinjau dari kemampuan awal matematika siswa. Selain itu, merujuk pada N-Gain tes kemampuan berpikir reflektif matematis ditemukan adanya interaksi yang menunjukkan bahwa pembelajaran mempengaruhi peningkatan kemampuan berpikir reflektif matematis berdasar pada kemampuan awal matematika siswa.
Abstraksi Reflektif: Suatu Sudut Pandang Pemecahan Masalah Geometris Masamah, Ulfa
Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education Vol. 1 No. 2 (2021): October 2021
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika Sekolah UIN Sunan Kalijaga Yogyakarta Jl. Marsda Adisucipto, Yogyakarta 55281

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/quadratic.2021.012-06

Abstract

This study aims to analyze and describe the process of mathematical reflective abstraction of students with high early mathematics ability in problem solving based on Krulik and Rudnick's steps on geometry material. This research is a case study qualitative research. The research subjects were students of MAN 1 Ngawi who were taken by purposive sampling technique. The data collection technique was done by task-based interviews. The results of the problem solving task and interview data are then presented and analyzed using descriptive analysis. The results of this study indicate that students who are highly capable in every step of problem solving according to the Krulik and Rudnick stages always bring up a complete reflective abstraction which includes recognition, representation, structural abstraction, and structural awareness. Subjects utilize previous knowledge related to trigonometry in solving geometric problems. In reflective abstraction activities, it can be seen how students construct conceptual knowledge, by providing reasons for the decisions made. This is in accordance with the demands of learning in the new normal era, students are required to construct their own mathematical knowledge.
Integrating Islam on geometry student worksheets to facilitate mathematical and religious literacy of junior high school students Masamah, Ulfa; Zain, Nurmalia Khoirunisa; Salsabila, Anisah; Maulidani, Muhammad
Jurnal Pengembangan Pembelajaran Matematika (JPPM) Vol. 5 No. 1 (2023): Jurnal Pengembangan Pembelajaran Matematika: Volume 5 Nomor 1 February 2022
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/jppm.2023.51.17-30

Abstract

This study aims to analyze the validity level, practicality level, effectiveness and influence of the Islamic integrated Geometry Student worksheet on mathematical literacy and religious literacy of junior high school students. The research method used in this study is Research and Development with the ADDIE development design, namely Analyze, Design, Development, Implementation, and Evaluation. The subject of the product assessment for the feasibility of the Islamic Integrated Geometry Student Worksheet (students worksheets) is limited to four experts: learning and language design experts, media and graphic design experts, mathematics materials experts and Islamic integration, as well as school mathematics teaching practitioners. The subjects related to the product trial were all class VIII MTs Surya Buana Malang City students. The research instruments used were interview guidelines, validation sheets, observation sheets, student and teacher response questionnaires, mathematical literacy tests, and religious literacy questionnaires. Qualitative data analysis was carried out according to Miles & Hubberman's steps, including data reduction, data display, and conclusion. Quantitative data in validity and practicality are presented as percentages and categories. This research produces a product in the form of an Islamic integrated geometry student worksheet. The validation results show that the Islamic Integrated Geometry Student Worksheet meets the valid criteria of 89.21%. Student responses showed that the Islamic integrated student worksheet product was very practical, with a percentage of 86.56%. At the same time, the teacher assessed that this student's worksheets were very practical, with a percentage of 86.67%. The results of the effectiveness test obtained an average of 85.68%, while the results of the t-test from the pretest and posttest obtained a Sig value. 0.001 and a Sig value of 0.004 for religious literacy. Thus, there is a significant difference between before and after using the Islamic Integrated geometry student worksheet on students' mathematical and religious literacy.
Pengembangan Bahan Ajar Digital-Interaktif Analisis Real Berbasis Moderasi Beragama untuk Mahasiswa PTKIN di Indonesia Abdussakir, Abdussakir; Mukmin, Muhammad Islahul; Masamah, Ulfa
ARITHMETIC: Academic Journal of Math Vol. 6 No. 1 (2024)
Publisher : Institut Agama Islam Negeri Curup

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29240/ja.v6i1.9521

Abstract

Instilling an attitude of religious moderation in State Islamic Religious Colleges (PTKIN) can be done using teaching materials based on religious moderation. Unfortunately, there are still few teaching materials that can be used for this purpose. This study aims to produce valid and practical digital-interactive teaching materials for Real Analysis based on religious moderation for PTKIN students in Indonesia. This development research combines the ADDIE model with the 4D model. Several experts were involved as validators and while fifth-semester students in the Mathematics Education Study Program were involved in the trial of the research product. Based on the validation results of material and language experts, teaching materials, and learning technology experts, mathematics learning design experts, and religious moderation experts, it was found that the teaching materials produced were very valid (3.39%). Based on small group trials, large groups, and lecturer responses, it was found that the teaching materials produced were very practical (83.22%). Thus, the digital-interactive teaching materials for Real Analysis based on religious moderation are very suitable for use by PTKIN students in Indonesia.
Pengembangan Media Pembelajaran Matematika RIMath Materi Himpunan Terintegrasi Al-Quran Untuk Memfasilitasi Literasi Matematis Siswa Ulum, Achmad Miftachul; Asyari, Mochammad Ainul Qodri; Masamah, Ulfa
Jurnal Karya Pendidikan Matematika Vol 11, No 2 (2024): Jurnal Karya Pendidikan Matematika Volume 11 Nomor 2 Tahun 2024
Publisher : Universitas Muhammadiyah Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jkpm.11.2.2024.23-28

Abstract

Digital literacy is a skill that learners must have. This ability is the basis in shaping students' critical and creative reasoning. In shaping students' mathematical literacy, interesting learning media is needed. This learning media can be in the form of ICT or Manipulative. The RIMath application is an android-based learning media that can facilitate students' mathematical literacy. RIMath learning media presents mathematics learning that applies contextual problems while integrating the Qur'an. The type of research used in this study is R&D (Research and Development) using the 4D method (Define, Design, Develop and Disseminate). RIMath learning media will be validated to experts to ensure the quality of this learning media. RIMath learning media will also be tested with students to ensure that the RIMath application can facilitate students' mathematical literacy. RIMath learning media gets a feasibility percentage of 78.283%. This percentage proves that RIMath learning media is included in the "feasible" category to be used by students in learning mathematics. In a t-test experiment, RIMath learning is proven to improve students' mathematical literacy by working on math problems.
Development of Visual-Spatial Thinking Ability Test Instrument Based on Pattern Batik Ceplok-Ceplok Jatipelem Jombang Farabi, Muhammad Al; Masamah, Ulfa; Rofiki, Imam
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 8 No. 2 (2025): JRPIPM APRIL 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v8n2.p151-166

Abstract

Visual-spatial thinking ability is an important ability for students in understanding and solving geometry problems. This study aims to develop a test instrument for students' visual-spatial thinking ability based on pattern batik Ceplok-Ceplok Jatipelem Jombang. This research is a development research (R&D) with the Tessmer model which consists of preliminary, self evaluation, expert reviews, one-to-one evaluation, small group evaluation, and field test evaluation stages. The subjects of this study were students of class IX MTs Negeri 3 Jombang. The data collection techniques used were questionnaires, interviews, and walkthroughs through test instruments and validation sheets. Analysis of the test results was carried out with the Rasch model approach assisted by Ministep software. The results obtained 4 items of descriptive questions that fulfill (1) Validity is satisfied based on the 0.5 < MNSQ < 1.5, -2.0 < ZSTD < +2.0, dan 0.4 < Pt Measure Corr < 0.85; (2) Reliability of respondents is categorized as sufficient, items are categorized as excellent, and the relationship between the two is categorized as good; (3) The level of difficulty of the test instrument varies at the easy, medium, and difficult levels. (4) The differentiating power of the questions is categorized as good and very good to use. So, it shows that the test instrument to measure the ability of visual-spatial thinking based on pattern batik Ceplok-Ceplok Jatipelem Jombang on geometric transformation material satisfies the criteria worthy to be used.
PENGEMBANGAN PLATFORM DIGITAL LINKTREE BERBANTUAN WORDWALL UNTUK MEMFASILITASI LITERASI DIGITAL PADA PEMBELAJARAN GEOMETRI TERINTEGRASI AL-QURAN/HADIST Zain, Nurmalia Khoirunisa; Masamah, Ulfa; Nursirot, Mohammad Arul Sholehuddin; Maulidani, Muhammad
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.8886

Abstract

Literasi digital menjadi kompetensi penting di era transformasi digital ini, yang membantu siswa mengidentifikasi dan mengevaluasi sumber informasi secara efektif. Penelitian ini bertujuan untuk mengembangkan platform digital Linktree berbantuan Wordwall untuk mengintegrasikan pembelajaran geometri berbasis Al-Qur'an/Hadits bagi siswa Sekolah Menengah Pertama, dalam rangka meningkatkan literasi matematika digital mereka. Menggunakan pendekatan Penelitian dan Pengembangan (R&D) dengan model 4D, terdiri dari 20 siswa Kelas VIII SMP Islam Sabilurrosyad Kota Malang. Pengumpulan data menggunakan wawancara, observasi, dan tes, dianalisis dengan SPSS 17.0. Hasil validasi menunjukkan aspek media memperoleh skor 96,91%, materi 97,34%, integrasi 90,50%, aspek pembelajaran 86,50%, dan literasi digital 91,50% (semua kategori sangat valid). Uji coba kelompok kecil memperoleh skor praktikalitas sebesar 91,27%, sedangkan uji lapangan memperoleh skor 88,81%. Uji efektivitas menunjukkan adanya peningkatan literasi digital yang signifikan dengan N-gain sebesar 0,72. Oleh karena itu, platform Linktree yang dibantu Wordwall ini valid, praktis, dan efektif dalam memajukan literasi matematika digital siswa Sekolah Menengah Pertama Digital literacy is an essential competency in this digital transformation era, helping students identify and evaluate information sources effectively. This study aims to develop a Wordwall-assisted Linktree digital platform for integrating geometry learning based on the Quran/Hadith for Junior High School students, enhancing their digital mathematical literacy. Using the Research and Development (R&D) method with a 4D model, the research included 20 Grade VIII students in Malang City. Data collection utilized interviews, observations, and tests, analyzed with SPSS 17.0. The validation results revealed the media aspect scored 96.91%, material 97.34%, integration 90.50%, learning aspect 86.50%, and digital literacy 91.50% (all rated as very valid). Small group trials achieved a practicality score of 91.27%, while field tests scored 88.81%. Effectiveness testing indicated a significant improvement in digital literacy with an N-gain of 0.72. Therefore, the Wordwall-assisted Linktree platform is considered valid, practical, and effective in advancing the digital mathematical literacy of Junior High School students.
Agama, Covid-19, dan Tatanan Budaya Baru: Pengabdian Kalangan Muda NU Soloraya terhadap Pandemi Covid-19 Mibtadin, Mibtadin; Masamah, Ulfa; Fatimah, Lilis
Transformatif : Jurnal Pengabdian Masyarakat Vol. 3 No. 2 (2022)
Publisher : Universitas Islam Negeri Raden Mas Said Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22515/tranformatif.v3i2.3967

Abstract

Covid-19 appeared in early 2020 until now its spread has not been cut off and has changed the order of life, including religion. This article describes the role of NU Soloraya's youth in responding to the spread of Covid-19. This research is descriptive qualitative in nature and uses a sociological approach to religion. Data collection was carried out through observation, in-depth interviews, and documentation. Data were analyzed using an interactive analysis model. States to limit its spread by implementing health protocols. The youth of NU Soloraya responded by providing spiritual guidance and also encouraging the congregation to actively develop moderation theology, namely the theology of caring for others that is manifested in the spirituality of humanity. They position themselves as facilitators, animators, enablers, catalysts so that they can become opinion leaders and balance discourse about Covid-19. With empathy, sympathy, and concern, they strengthen social resilience so that the majlis taklim network and Islamic boarding schools become social capital to tackle Covid-19.
Students’ probabilistic thinking level in solving probability problems reviewed from Honey Mumford’s learning style Khurrotul, A'yun; Masamah, Ulfa
Jurnal Pengembangan Pembelajaran Matematika (JPPM) Vol. 7 No. 2 (2025): Jurnal Pengembangan Pembelajaran Matematika: Volume 7 Nomor 2 August 2025
Publisher : Pusat Studi Pengembangan Pembelajaran Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/jppm.2025.72.134-147

Abstract

Students' difficulties in solving probabilistic problems occur due to their lack of knowledge and understanding of probability concepts. Probabilistic thinking skills are essential to enhance students' ability to solve probabilistic problems in everyday life. This qualitative research aims to describe student’s levels of probabilistic thinking in solving probability problems reviewed from Honey Mumford's learning style. The research subjects consisted of eight ninth-grade students from a State Tsanawiyah Madrasah of Batu City. The primary instrument in this study was the researcher, supported by additional instruments such as probabilistic thinking test and a task-based interview guide. Data were collected through written tests, task-based interviews, and documentation. Data analysis was carried out using the constant comparative method which includes the stages of reduction, categorization, synthesis, and substantive theory preparation. The results showed that students with activist and pragmatist learning styles met all indicators at level 1 of subjective thinking, while reflector and theorist students showed wider variations up to level 3 if informal quantitative thinking and some at level 4 of numerical thinking. This finding implies that differences in learning styles contribute to student’s probabilistic thinking abilities at each level.