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A Systematic Literature Review: How Mastery of Whole Number Concepts Develops Students' Problem-Solving Skills Handayani, Ratih; Putri, Ratu Ilma Indra; Zulkardi; Hartono, Yusuf
Eksponen Vol. 16 No. 1 (2026): Eksponen: Volume 16 Nomor 1 April 2026
Publisher : Universitas Muhammadiyah Kotabumi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47637/eksponen.v16i1.2359

Abstract

Conceptual difficulties and visual representation barriers are often major challenges in learning integers, especially related to understanding negative numbers and mathematical operations such as addition and subtraction. This study aims to identify the problems faced by students in learning integers, evaluate the effectiveness of various teaching methods, and propose innovative approaches to improve students' understanding. The methodology used is a systematic review based on Systematic Literature Review (SLR), by analyzing relevant research articles using PRISMA guidelines. This study examines various learning strategies, such as the use of realistic contexts, innovative visual models, manipulatives, and interactive technology. The results showed that a real-world context- based approach and the use of visual models can significantly improve students' understanding compared to conventional methods. Students who engaged in manipulative-based learning and class discussions also showed better mathematical thinking flexibility. These findings highlight the need for further exploration of the use of real contexts, more innovative visual models, and the application of gamification technology in integer learning. In conclusion, integer learning requires a more innovative approach by integrating realistic contexts, new visual models, and interactive technology. This not only increases student engagement but also supports the development of conceptual and procedural abilities more effectively.
Developing a PMRI-guided learning trajectory for elementary students’ understanding of percentages within the melemang cultural context Arbella Sri Marleny M; Zulkardi; Ratu Ilma Indra Putri; Yusuf Hartono
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 1 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i1.1095

Abstract

Background: Understanding percentages poses persistent challenges for elementary students, particularly when the percent symbol is interpreted as a standalone number rather than as a relational expression of “per hundred.” Instruction that is detached from meaningful contexts often restricts students’ ability to connect percentages with fractions and decimals. Aims: Responding to this issue, the study seeks to develop and validate a PMRI-guided learning trajectory that situates percentage concepts within the local cultural practice of melemang. Method: Employing design research of the validation study type, the study involved 28 elementary students and was conducted in three phases: preliminary design to formulate a Hypothetical Learning Trajectory (HLT), teaching experiment to implement and observe the instructional sequence, and retrospective analysis to refine the HLT into an empirically grounded Actual Learning Trajectory (ALT). Data from classroom observations, student work, interviews, and video recordings were analyzed qualitatively to examine students’ conceptual development. Results: The findings indicate that engaging students with the melemang context enabled them to interpret percentage as a comparison to one hundred. Through a structured progression from concrete representations to bar models and 100-grids, students established meaningful connections among fractions, decimals, and percentages. Conclusion: The resulting learning trajectory demonstrates how culturally grounded PMRI-based instruction can support coherent conceptual development and inform context-sensitive mathematics teaching practices.
Co-Authors Aan Putra Adelia, Viona Adha, Idul Adi Nur Cahyono Agustina, Amalia Ahmad Fauzan Aini, Indrie Noor Ainun Jariyah Ainun Mardia Alfajri, Rizha Allen Marga Retta, Allen Marga Amarta, Nadiati Ambarita, Sahala Martua Andita, Sintia Anggria Septiani Mulbasari, Anggria Septiani ANISAH Anna Fauziah Apertha, Fanny Khairul Putri Aprilisa, Shinta Arbella Sri Marleny Arbella Sri Marleny M Arvin Efriani Asra, Aqilul Aulia Oktarina, Detia Auliani, Gelcy Vania Azka, Dea Alvionita Bambang Riyanto Budi Mulyono Cecil Hiltrimartin Chyrza Adhea Salsabila Darmawijoyo, Darmawijoyo Dasaprawira, M. Noviarsyh Dewi Rawani Dewi, Agatha Indy Candra Dhany Fachrudin, Achmad Dina Octaria Duano Sapta Nusantara Dwipa, Nendra Mursetya Somasih EDWAR Effendi, Kiki Nia Sania Eka Fitri Puspa Sari, Eka Fitri Puspa Eka Putri Eli Susanti ELLY SUSANTI Elsa Susanti Elvina, Nova Ely Susanti Eni Yulianti Ermatita - Evy Yosita Silva Fitriani, Nadya Fitrianty Munaka Hapizah Haris Kurniawan, Haris Hasanah, Mifta Nur Ida Ayu Putu Sri Widnyani Ida Hamidah Ika Pratiwi Intan Bigita Kusumawati, Intan Bigita Iqbal Kharisudin Ismail, Rafki Nasuha Izza Della Nur Rizki Jannah, Riya Dhotul Jayanti Jurnaidi Kamid, Kamid Ketang Wiyono Laela Sagita Laswadi Laswadi Lavicza, Zsolt Lewy Lisnani M. Hasbi Ramadhan, M. Hasbi Maharani, Yulianita Malalina Marhamah Marhamah Marhamah Mariska Yusuf Meitrilova, Agyta Merlisa Meryansumayeka Meryansumayeka MICHIEL DOORMAN, MICHIEL Miftahudin Misdalina Mouli, Mutia Febri Muhamad Yusup Muhammad Iqbal Mulyono, Budi MUSLIMIN Mustikasari N. Fahriza Fuadiah Niken Wahyu Utami Nisa, Sholihatun Novita Sari Nur Listiawati, Nur Nyimas Aisyah Nyimas Aisyah Permatasari, Ranni Pramudhia, Zulhilmi Gibran Pratiwi, Riszky Pabela Pratiwi, Weni Dwi Purwasi, Lucy Asri Purwoko Puspitasari, Linda Putri Aisyah Putri, Dhea Anisah Qatrunnada, Dhiya Qolbi, Rizma Nurfajriah Rafika Sari Rahayu, Chika Rahma Siska Utari Ratih Handayani Ratu Ilma Indra Putri Ratu Ilma Indra, Putri Ratu, Ratu Ilma Indra Putri Retni Paradesa Rini Herlina Rusiyanti Risdiyanti, Irma Riskanita, Arini Dyah Rully Charitas Indra Prahmana Rusdy A Siroj Safrudiannur Safrudiannur Samsuryadi Saputri, Nety Wahyu Sari, Filian Yunita Sary Silvhiany Saskiyah, Sulafah Ansya Sepriliani, Sisca Puspita Setyorini, Ninik Purwaning Shinta Puspasari Siligar, E.I Pusta Simon Sili Sabon, Simon Sili Sinaga, Heny Sistyawati, Risda Intan Siswantari Siti Fatimah Sitisyarah, Kania Somakim, Somakim Subijanto Sujinal Arifin Sukasno Sukasno Sukestiyarno, Yulius Leonardus Sukma, Yovika Sumardi, Hari Supratik Surya Amami Pramuditya Susanta, Agus Susanti, Elsa Syabaniah, Try Nurisa Sylvenny Mirandah Syutaridho Syutaridho Syutaridho Tan, Zhen Han Hans Tanjung, Ayu Luviyanti Tati Tika Dwi Nopriyanti, Tika Dwi Toh, Tin Lam Tri Astuti, Yeni Tria Gustiningsi Trimurti Saleh Trisna Wulandari ullya Uswatun Hasanah Utami, Marta Risa Putri Wibowo, Slamet Wirda, Yendri Yaniawati, Poppy Yansen, Dedi Yentri Anggeraini, Yentri Yufitri Yanto Yulia Resti Yulianti Yusuf Hartono Yusup, M Zahra Alwi, Zahra