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Hypothetical Learning Trajectory In The Material Of Ordering Fractions Widianti, Hesti Dwi; Mohammad Faizal Amir
Pendas : Jurnal Ilmiah Pendidikan Dasar Vol. 10 No. 04 (2025): Volume 10 No. 04 Desember 2025
Publisher : Program Studi Pendidikan Guru Sekolah Dasar FKIP Universitas Pasundan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23969/jp.v10i04.40183

Abstract

Learning to order fractions is often challenging for elementary school students because they have not yet understood the relationship between the numerator, the denominator, and the value of a fraction. This study aims to develop and examine a Hypothetical Learning Trajectory (HLT) designed to support fourth-grade students in understanding fraction ordering through a series of gradual activities, ranging from concrete to symbolic. The study employed a qualitative approach using Design-Based Research (DBR). Data were collected through observations, student worksheets, and documentation of the learning process. The findings show that the HLT contributed to improving students’ understanding, as reflected in their ability to identify equivalent fractions, find common denominators, use least common multiples (LCM), and order fractions with both equal and different denominators. These results indicate that HLT is an effective instructional approach that enhances the quality of fraction learning in elementary schools.
Counter-Examples Refining Elementary Students’ Action Proof on Area–Perimeter Relationships Putri, Gita Marchelyta Arinda; Amir , Mohammad Faizal
Indonesian Journal of Education Methods Development Vol. 20 No. 4 (2025): November
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

General Background: Understanding the relationship between area and perimeter requires more than formula use; it demands conceptual reasoning and informal proving in elementary mathematics. Specific Background: Action proof with manipulative objects offers a concrete pathway for students to test conjectures, yet many struggle to form accurate mathematical conjectures during such activities. Knowledge Gap: Limited studies describe how counter-examples guide elementary students through stages of revising primitive conjectures into more comprehensive proofs. Aims: This study analyzes stages of students’ action proof when stimulated by counter-examples using manipulatives. Results: Both low- and high-ability students initially formed incorrect primitive conjectures; confronting counter-examples prompted revision, and re-examination led to a more comprehensive conjecture that increased area does not always change perimeter. Novelty: The study details a three-stage action proof process showing how counter-examples function as cognitive triggers for refining conjectures in elementary geometry. Implications: Findings inform instructional strategies for teaching informal proof and conceptual reasoning through manipulatives in elementary classrooms. Highlights: Counter-examples prompted revision of students’ primitive conjectures. Manipulatives supported concrete representation during informal proof stages. Re-examination led to a comprehensive conjecture about area–perimeter relations. Keywords: Counter-Example, Action Proof, Manipulative Objects, Area And Perimeter, Elementary Mathematics
THE INFLUENCE OF THE APPLICATION OF ETHNOMATHEMATICS IN THE CONTEXT OF THE TRADITIONAL ENGKLEK GAME ON THE MATHEMATICS LEARNING OUTCOMES OF CLASS IV STUDENTS AT PADEMONEGORO SUKODONO ELEMENTARY SCHOOL Nur Sri; Mohammad Faizal Amir
Pedagogy: Jurnal Pendidikan Matematika Vol. 11 No. 1 (2026): Pedagogy : Jurnal Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/1c150j48

Abstract

The process of learning mathematics at the elementary school level still faces challenges, especially in understanding abstract concepts, which results in poor learning outcomes for students. Several ways to address this problem include implementing an ethnomathematics approach to connect mathematical ideas with local cultural wisdom, such as playing the traditional game of engklek. This study aims to measure the impact of applying ethnomathematics related to the traditional game of engklek on the mathematics learning targets of fourth-grade students at SDN Pademonegoro Sukodono. This study adopts a quantitative method with a pre-experimental design of the one-group pretest-posttest type. The number of research samples was 23 students obtained using purposive sampling. Data collection was carried out using pretest and posttest tests. Data analysis included normality testing, hypothesis testing using the Wilcoxon test, and N-Gain calculations to determine the level of improvement in learning outcomes. The research findings showed that the average pretest score, which was initially 45.22, increased to 86.52 at the posttest. Hypothesis testing showed a Sig. (2-tailed) value of 0.000 < 0.05, indicating a significant difference between before and after the treatment. The average N-Gain value reached 0.6558, which is in the moderate category. Therefore, the application of ethnomathematics through the engklek game.
Snakes and Ladders Game Media for Whole Number Counting Skills: Permainan Ular Tangga sebagai Media Pembelajaran untuk Mengembangkan Keterampilan Menghitung Bilangan Bulat Amilda, Binta Naarah; Amir, Mohammad Faizal
Indonesian Journal of Education Methods Development Vol. 20 No. 3 (2025): August
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/ijemd.v20i3.1031

Abstract

General Background: Mastery of addition and subtraction of whole numbers forms the foundation of primary mathematics learning, yet many students experience difficulties when instruction remains abstract and disconnected from daily contexts. Specific Background: Game-based learning media provide concrete and engaging experiences that support young learners’ characteristics and participation. Knowledge Gap: Despite numerous studies on educational games, a structured development of a snakes and ladders medium specifically designed for whole number operations using a systematic instructional design model is still limited. Aims: This study aims to develop and produce a whole number snakes and ladders learning media product named ultabica for second-grade primary students. Results: Using a Research and Development approach with the ADDIE model, the study completed the analysis and design stages, identifying learning needs, mapping materials and student characteristics, and producing a colorful game board and guide containing contextual addition and subtraction tasks. The product facilitates concrete practice, collaborative play, and active engagement during learning activities. Novelty: The integration of structured arithmetic problems into a modified snakes and ladders board aligned with curriculum objectives provides a contextual and participatory instructional medium. Implications: The developed media serves as a practical reference for teachers to design interactive mathematics lessons that support counting skills through meaningful gameplay. Keywords: Learning Media, Snakes and Ladders, Whole Numbers, Game Based Learning, Primary Mathematics Key Findings Highlights: Produced a board game and guide aligned with curriculum targets Identified learner needs and content mapping through systematic analysis Facilitated collaborative and contextual arithmetic practice
Basic School Students Mathematical Literation Abilities Through The Implementation of PAR (Preparation-Assistance-Reflection) Learning: Kemampuan Literasi Matematika Siswa Sekolah Dasar Melalui Implementasi Pembelajaran PAR (Preparation-Assistance-Reflection) Winda Anzilah; Mohammad Faizal Amir
Academia Open Vol. 6 (2022): June
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.6.2022.1666

Abstract

Literasi matematika merupakan kemampuan seseorang untuk merumuskan, mengunakan dan menafsirkan matematika dalam berbagai konteks masalah kehidupan sehari-hari secara efisien. Kemampuan ini mencakup penalaran matematis dan kemampuan menggunakan konsep-konsep matematika, prosedur, fakta dan fungsi matematika untuk menggambarkan, menjelaskan dan memprediksi suatu fenomena. Hal ini menuntun individu untuk mengnali peranan matematika dalam kehidupan dan membuat penilaian yang baik dan pengambilan keputusan yang dibutuhkan oleh penduduk yang konstruktif, dan reflektif. Pengertian ini mengisyaratkan literasi matematika tidak hanya pada penguasaan materi saja akan tetapi hingga kepada pengunaan penalaran, konsep, fakta dan alat matematika dalam pemecahan masalah sehari-hari.
Stages of Ability to Recognize Number Concepts Through Modified Apron Media for Children with Special Needs: Tahapan Kemampuan Mengenal Konsep Bilangan Melalui Media Apron Modifikasi Pada Anak Berkebutuhan Khusus Ratna Dwi Kusuma; Mohammad Faizal Amir
Academia Open Vol. 6 (2022): June
Publisher : Universitas Muhammadiyah Sidoarjo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21070/acopen.6.2022.1676

Abstract

Konsep kesamaan dalam matematika merupakan suatu hal yang mendasar untuk dipelajari siswa di tingkat Sekolah Dasar. Pengetahuan akan kesamaan dalam matematika menjadi prasyat penting untuk mempelajari aljabar di tingkat yang lebih tinggi. Khususnya dalam tahapan kemampuan mengenal konsep bilangan pada anak berkebutuhan khusus yang bisa dikembangkan dengan cara menggunakan media apron hitung. Penelitian ini menggunakan pendekatan studi literatur. Adapun subjeknya ialah siswa sekolah Dasar Luar Biasa. Data yang diperoleh peneliti yakni dari berbagai literatur yang telah dikaji dan dianalisis oleh peneliti. Adapun hasil peneliti ini adalah siswa dapat mencapai tahapan pada mengenal konsep bilangan.
The Analysis of Primary Students’ Learning Obstacles on Plane Figures’ Perimeter and Area using Onto-Semiotic Approach Rina Milinia; Mohammad Faizal Amir
Al Ibtida: Jurnal Pendidikan Guru MI Vol. 9 No. 1 (2022): June 2022
Publisher : UIN Siber Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/al.ibtida.snj.v9i1.9958

Abstract

AbstractPrimary school students frequently encounter plane figures’ perimeter and area. Using an onto-semiotic approach, this study examine students' learning challenges when learning the plane figures’ perimeter and area. As part of the didactic design research, this study used an interpretive paradigm. The study included 25 fourth-grade students in one of elementary school in Sidoarjo, Indonesia. Data was gathered through tests, interviews, and documentation, as well as descriptive analysis techniques. The results showed that students face three types of learning obstacles, i.e. ontogenic, epistemological, and didactic. Students have difficulty describing plane figures, understanding mathematical situations in problems, and using mathematical procedures to solve problems using the onto-semiotic approach. This study examines students' reactions to learning about the plane figures’ perimeter and area. Furthermore, the findings of this study serve as a starting point for educators, practitioners, and researchers in developing new didactic designs. So that grade four primary students can overcome the obstacles discovered.Keywords: learning obstacles, plane figures, onto-semiotic approach. AbstrakSiswa sekolah dasar sering menjumpai keliling dan luas bangun datar. Dengan menggunakan pendekatan onto-semiotik, penelitian ini mengkaji hambatan belajar siswa dalam mempelajari keliling dan luas bangun datar. Sebagai bagian dari penelitian desain didaktik, penelitian ini menggunakan paradigma interpretif. Penelitian ini melibatkan 25 siswa kelas empat di salah satu sekolah dasar di Sidoarjo, Indonesia. Pengumpulan data dilakukan melalui tes, wawancara, dan dokumentasi, serta teknik analisis deskriptif. Hasil penelitian menunjukkan bahwa siswa menghadapi tiga jenis hambatan belajar, yaitu ontogenik, epistemologis, dan didaktik. Siswa mengalami kesulitan mendeskripsikan bangun datar, memahami situasi matematis dalam masalah, dan menggunakan prosedur matematis untuk menyelesaikan masalah dengan menggunakan pendekatan onto-semiotik. Penelitian ini menguji reaksi siswa terhadap pembelajaran tentang keliling dan luas bangun datar. Selanjutnya, temuan penelitian ini menjadi titik awal bagi pendidik, praktisi, dan peneliti dalam mengembangkan desain didaktik baru. Sehingga siswa kelas empat sekolah dasar dapat mengatasi hambatan yang ditemukan.Kata kunci: hambatan belajar, bangun datar, pendekatan onto-semiotik.
Primary School Students’ Analogical Reasoning in Solving Open-ended Word Problems Egitayanti Aulia Rochman; Mohammad Faizal Amir
Al Ibtida: Jurnal Pendidikan Guru MI Vol. 10 No. 2 (2023): October 2023
Publisher : UIN Siber Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/al.ibtida.snj.v10i2.13769

Abstract

AbstractThis study aims to identify primary school students' analogical reasoning in solving open-ended word problems. This is qualitative research with a case study approach. The participants in this study were 25 fifth-grade primary school students selected using the purposive sampling technique to represent each category of analogical reasoning based on analogical reasoning tasks. Research instruments comprised of tests in analogical reasoning tasks and interview guidelines. Data analysis techniques included data reduction, presentation, and verification. Research results showed that there were three categories of students' analogical reasoning in solving word problems with close-ended source problems and open-ended target problems: (1) open comprehensive analogy, where students successfully solved the close-ended source problem and the open-ended target problem; (2) semi-open comprehensive analogy, where students successfully solved the close-ended source problem but did not successfully solve the open-ended target problem; and (3) failure in close-open analogy, where students did not successfully solve the close-ended source problem and the open-ended target problem. The results of this study suggest that educators, especially at the primary level, deepen students' ability to solve close-ended problems first so that students can solve open-ended problems with analogical reasoning.Keywords: analogical reasoning, problem-solving, open-ended, primary school. AbstrakPenelitian ini bertujuan untuk mengidentifikasi penalaran analogi siswa sekolah dasar dalam memecahkan word problems berbasis open-ended. Jenis penelitian yang digunakan adalah kualitatif dengan pendekatan studi kasus. Partisipan dalam penelitian ini sebanyak 25 siswa kelas lima sekolah dasar, untuk memilih subjek penelitian menggunakan teknik purposif yang mewakili setiap kategori penalaran analogi berdasarkan tugas penalaran analogi. Instrumen penelitian meliputi tes berupa analogical reasoning tasks dan pedoman wawancara. Teknik analisis data terdiri dari reduksi data, penyajian data, dan verifikasi data. Hasil penelitian menunjukkan bahwa terdapat tiga kategori penalaran analogi siswa ketika memecahkan word problems dengan masalah sumber close-ended dan masalah target open-ended, yaitu: (1) Analogi open comprehensive, siswa berhasil memecahkan masalah sumber close-ended dan masalah target open-ended; (2) Analogi semi-open comprehensive, siswa berhasil memecahkan masalah sumber close-ended tetapi tidak berhasil memecahkan masalah target yang open-ended; (3) Kegagalan analogi close-open, siswa tidak berhasil memecahkan masalah sumber close-ended dan masalah target open-ended. Hasil penelitian ini menyarankan kepada para pendidik khususnya di tingkat dasar untuk memperdalam kemampuan siswa dalam memecahkan masalah close-ended terlebih dahulu agar siswa bisa memecahkan masalah open-ended dengan penalaran analogi.Kata kunci: penalaran analogi, pemecahan masalah, open-ended, sekolah dasar.
Model-Eliciting Activities on Students' Mathematical Literacy by Reviewing Differences in Self-Regulated Learning Ika Nada Fajriyah; Mohammad Faizal Amir; Mahardika Darmawan Kusuma Wardana; Mohd Nazri Abdul Rahman
Al Ibtida: Jurnal Pendidikan Guru MI Vol. 12 No. 1 (2025): June 2025
Publisher : UIN Siber Syekh Nurjati Cirebon

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24235/al.ibtida.snj.v12i1.19683

Abstract

AbstractThe mathematical literacy of students is still relatively low. However, it remains a goal and a necessity to develop mathematical literacy as a fundamental skill for solving problems in various contexts, particularly in formulating, employing, and interpreting mathematics. Previous studies have proven that model-eliciting activities effectively enhance mathematical literacy. On the other hand, mathematical literacy is influenced by differences in self-regulated learning. Therefore, this study answers whether implementing model-eliciting activities regarding self-regulated learning differences affects students' mathematical literacy. This study employed a quasi-experimental non-equivalent pretest and posttest design that involved 55 fourth-grade primary students. Data collection used a mathematical literacy test and a self-regulated learning questionnaire. The levels of self-regulated learning were categorised as low, medium, and high. The data analysis was a two-way analysis of variance test followed by the Tukey test. The study showed that implementing model-eliciting activities by considering differences in self-regulated learning affected students' mathematical literacy. Another finding is that students with high self-regulated learning are better at mathematical literacy than those with low self-regulated learning.Keywords: model-eliciting activities, mathematical literacy, self-regulated learning. AbstrakLiterasi matematika siswa masih tergolong rendah, namun sampai saat ini masih menjadi tujuan dan kebutuhan sebagai keterampilan fundamental untuk menyelesaikan masalah dalam berbagai konteks khususnya dalam hal merumuskan, menggunakan, dan menafsirkan matematika. Peneliti-peneliti sebelumnya telah membuktikan model-eliciting activities efektif untuk meningkatkan literasi matematika. Disisi lain, literasi matematika dipengaruhi oleh perbedaan self-regulated learning. Oleh karena itu, penelitian menjawab rumusan masalah mengenai apakah implementasi model-eliciting activities dengan memperhatikan perbedaan self-regulated learning berpengaruh terhadap literasi matematika siswa. Penelitian ini menggunakan quasi eksperimental non-equivalent pretest dan posttest desain dengan melibatkan 55 siswa kelas empat sekolah dasar. Pengumpulan data menggunakan tes literasi matematika dan kuisioner self-regulated learning. Perbedaan tingkat self-regulated learning dikategorikan sebagai rendah, sedang, dan tinggi. Analisis data yang digunakan adalah uji analisis varians dua arah dan dilanjutkan uji Tukey. Temuan penelitian menunjukkan implementasi model-eliciting activities dengan memperhatikan perbedaan self-regulated learning berpengaruh terhadap literasi matematika siswa. Temuan lainnya adalah siswa yang memiliki self-regulated learning tinggi lebih baik dalam literasi matematika dibanding siswa yang memiliki self-regulated learning rendah.Keywords: model-eliciting activities, literasi matematika, self-regulated learning.
Implementation of Students Character in the Batik Them P5 Project at Elementary School Silvi Jihan Mahfiroh; Nur Aviatul Faizah; Farah Alifanty Rahmania; Nadhilah Aisyah Amalia; Mohammad Faizal Amir
Proceeding International Symposium on Global Educatiorg Psychology, and Cultural Synergy Vol 1 No 1 (2024): PROCEEDING INSPIRE 2024: INTERNATIONAL SYMPOSIUM ON GLOBAL EDUCATION, PSYCHOLOGY,
Publisher : P3I UMSurabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/psychoseries.v1i1.25249

Abstract

Character is an identity for each individual that is formed from behavior and frame of mind. An important component that must be present in students is character education. The school must consistently educate students' character so that students can get used to the school culture implemented through the P5 program. This study aims to determine the value of student character education in the batik theme P5 project with character development in line with the Pancasila Student Profile. This research uses a qualitative descriptive method to determine the facts and describe the object under study. Data were collected through observation and interviews. The result of this study is the character of Muhammadiyah 9 Ngaban Elementary School students in the P5 batik project, which refers to the dimensions of the Pancasila learner profile, including faith, devotion to God Almighty, and noble character, independence, mutual cooperation, global diversity, critical reasoning, and creativity.
Co-Authors Abadi, Muhammad Arya Setiawan Ahmad Hassan Nurdien Ahmad Hassan Nurdien Ainin, Niva Al Kuril Ainiya Rahma Septiarini Aldiyah Mellawati Alfina Eka Pratiwi Amalia, Alfin Khoiro Amilda, Binta Naarah Amir, Firana Anggraeni, Uswatin Anindhita, Putri Bulqhis Anis Andriah Atuszahroh, Dwi Silvi Aulia Risa Eksanti Ayu Wulandari Ayuningtyas, Ilfia Nur Azzahra Salma Nabila Bagus Ali Rachman Beta Ayu Widianti Cahyani, Nafisa Fitri Chika Zahroh Khitaka Auliya Chusnul Ainia Danti Sri Rahayu Devi Usfuriah Dian Septi Nur Afifah Diana Noviani Khakiki Dwi Wulandari Egitayanti Aulia Rochman Eksanti, Aulia Risa Fajri, Fenty Rahmawati Fajriyah, Ika Nada Faradina, Zulfiya Farah Alifanty Rahmania Firdatus Nurlaila Fitria Wulandari Fitria Wulandari Ghozali Rusyid Affandi Gita Marchelyta Hendra Erik Rudyanto Hesty Dian Prasetyaningrum Hidayanti, Andina Nurnida Ibrahim, Balqis Kurnia Ika Nada Fajriyah Iklimatus Faridatun Hikmah Ilfia Nur Ayuningtyas Indah Permatasari Indrawati, Tasya Juli Indri Salsabila Isna Fauziyah Nurroini Jannah, Ayu Nur Roudhotul Jannah, Hamida Izatul Khoirun Nisa Labibah Kurniawati Machful Indra Kurniawan Magfirotin, Elis Syafa Mahardika Darmawan Kusuma Wardana Malikha, Ziadatul Mardiyansyah, Yerrys Masruroh, Miftakhul Mega Selvia Ayu Devi Mohamad Djasuli Mohammad Fanani Mohd Nazri Abdul Rahman Mubarokah, Aysha Amini Laylatim Mufarikhah, Imas Anisa'ul Muhlasin Amrullah Nadhilah Aisyah Amalia Nazilah, Rohmah Li'izzatun Niva Al Kuril Ainin Nur Ajizatul Mufidah Nur Aviatul Faizah Nur Rohmah Emilia Nur Sri Nur Sulistianingsih Nurdien, Ahmad Hassan Nuridah, Eka Rahmah Purwanto Purwanto Putri, Gita Marchelyta Arinda Putri, Ratna Dwi Kusuma Ning Quroidah, Anita Rahman, Mohd Nazri Abdul Ratna Dwi Kusuma Ratna Dwi Kusuma Ning Putri Rina Milinia Rizki, Friska Alifia Rochman, Egitayanti Aulia Romadhon, Nurul Isnaini Rosyida, Nelly Kholifatur Safitri, Nur Fajriah Septina Risma Yunita Silvi Jihan Mahfiroh Sri Nur Wahyu Utami Swasono Rahardjo Titah Pinasthi Tri Febri Marta Lasmana Umma Abika Sharah Fi Vivi Novitasari Vonitasari, Adinda Rheyna Wahyuningtyas , Lilis Widianti, Hesti Dwi Widyastuti Winda Anzilah Windari, Reza Aulia Yahya, Ach. Zamroni Yosa, Nabhila Zakiyah, Ummu