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An analysis of students’ difficulties in multiplication and division of large numbers (thousands and millions) in social arithmetic at junior high school Bhoke, Wilibaldus; Finu, Maria Dafrosa; Ewol, Novalia Sudiatik
Desimal: Jurnal Matematika Vol. 8 No. 3 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i3.202530484

Abstract

This study aims to analyze students’ difficulties in solving multiplication and division problems involving large numbers, specifically thousands and millions, within the context of social arithmetic at SMP Negeri 2 Bajawa. The participants consisted of 65 seventh-grade students from classes VIID and VIIF, and a descriptive qualitative approach was employed to obtain an in-depth understanding of the types and underlying factors of these difficulties. Data were collected through participant observation, in which the researcher acted as both teacher and observer, documenting learning activities, students’ responses to instructional strategies, procedural errors, place value difficulties, and problem-solving strategies used during the learning process. Data analysis was conducted descriptively through the stages of data reduction, data organization, interpretation, and conclusion drawing. The findings indicate that students experienced interconnected difficulties related to conceptual understanding, procedural competence, and place value knowledge. Conceptually, students tended to treat multiplication and division as mechanical procedures without understanding their meanings, leading to errors in selecting appropriate operations for word problems. Procedurally, students often applied calculation steps inconsistently, resulting in inaccurate solutions, while difficulties in place value were evident in the incorrect positioning of thousands and millions digits. In addition, limited practice, low learning motivation, and weak connections between mathematical tasks and real-life contexts contributed to students’ difficulties. These results suggest that students’ challenges in large-number operations are influenced by conceptual understanding, procedural skills, place value knowledge, problem-solving strategies, and learning context, highlighting the importance of contextual and problem-based mathematics instruction supported by regular practice to improve students’ ability to solve social arithmetic problems effectively.
Development of HOTs-Based Formative Numeration Assessment Instruments on Fractions Material for Grade Junior High School Finu, Maria Dafrosa; Bhoke, Wilibaldus; Tali Wangge, Maria Carmelita; Bela, Maria Editha
Desimal: Jurnal Matematika Vol. 9 No. 1 (2026): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/30828

Abstract

Strengthening students’ numeracy competence and higher-order thinking skills has become an important priority in contemporary mathematics education, particularly within curriculum reforms that emphasize analytical reasoning and meaningful problem solving. However, assessment practices in many mathematics classrooms still focus primarily on procedural knowledge and lower-order cognitive processes, limiting opportunities for students to demonstrate deeper mathematical understanding. This situation highlights the need for assessment instruments that integrate numeracy development with higher-order thinking skills (HOTS) in authentic learning contexts. This study aims to develop a HOTS-based formative numeracy assessment instrument for seventh-grade students on the topic of fractions and to evaluate the feasibility of the developed instrument for classroom use. The research employed a research and development approach using the ADDIE model, which includes the stages of analysis, design, development, implementation, and evaluation. The study involved 64 students from classes VII A and VII B at SMP Negeri 2 Bajawa. Data were collected through interviews, classroom observations, expert validation sheets completed by mathematics teachers, and student response questionnaires. The findings indicate that the developed instrument meets the criteria of validity and practicality for mathematics learning, with expert validation reaching 82.85 percent, teacher responses 87.77 percent, and student responses 84.92 percent. The assessment tasks encourage contextual problem solving and analytical reasoning related to fraction concepts.
Enhancing elementary students’ numeracy skills through a Ngadhu Bhaga ethnomathematics-based learning approach Wewe, Melkior; Bela, Maria Editha; Wangge, Maria CT; Bhoke, Wilibaldus
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.v6i1.998

Abstract

Background: Numeracy is an essential skill that enables students to interpret and apply numerical information in everyday life. However, mathematics learning often lacks connections to students’ cultural contexts, limiting the development of numeracy skills. Aims: This study aims to examine the effectiveness of the Ngadhu Bhaga ethnomathematics-based learning approach in enhancing elementary students’ numeracy skills and to explore students’ learning experiences, teachers’ perceptions, and teacher–student interactions during its implementation. Method: This study employed a mixed-methods design with a post-test control group experiment. The participants were 40 fifth-grade students from Regina Pacis Bajawa Elementary School, Indonesia. Quantitative data were collected using numeracy tests, while qualitative data were obtained through questionnaires, interviews, and classroom observations. Results: The findings show that students who learned through the Ngadhu Bhaga ethnomathematics-based approach achieved higher numeracy scores than those who learned through conventional instruction. The approach also promoted active participation, strengthened teacher–student interaction, and increased students’ engagement in mathematics learning. Conclusion: Integrating local cultural contexts through the Ngadhu Bhaga ethnomathematics approach can effectively support the development of elementary students’ numeracy skills and create a more meaningful learning environment
Pendampingan Belajar Anak Usia Sekolah Dasar untuk Meningkatkan Prestasi dan Motivasi Belajar di Kelurahan Ngedukelu Wilibaldus Bhoke; Maria Carmelita Tali Wangge; Maria Editha Bela; Melkior Wewe; Maria Dafrosa Finu; Novalia Sudiatik Ewol
Bima Abdi: Jurnal Pengabdian Masyarakat Vol. 6 No. 1 (2026): Bima Abdi: Jurnal Pengabdian Masyarakat
Publisher : Yayasan Pendidikan Bima Berilmu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53299/ba-jpm.v6i1.4077

Abstract

Berdasarkan permasalahan yang ditemukan pada tahap awal menunjukan bahwa beberapa siswa, khususnya kelas VI yang akan menghadapi ujian, masih mengalami kesulitan dalam mengenal huruf, membaca lancar, serta menyelesaikan operasi hitung dasar seperti perkalian. Pendampingan ini bertujuan untuk meningkatkan prestasi serta motivasi belajar siswa di sekolah dasar di SDK Ngedukelu, Kelurahan Ngedukelu. Penelitian ini menggunakan metode pendampingan dengan pendekatan deskriptif kualitatif. Subjek penelitian berjumlah 15 siswa dengan teknik purposive sampling yang mengikuti kegiatan bimbingan selama satu bulan dengan frekuensi satu kali per minggu. Teknik pengumpulan data dilakukan melalui observasi, dokumentasi, dan evaluasi hasil belajar siswa. Sedangkan teknik analisis data dilakukan secara statistik deskriptif kualitatif. Hasil kegiatan menunjukkan adanya peningkatan kemampuan membaca dan berhitung siswa setelah mengikuti pendampingan. Penggunaan media kartu huruf membantu siswa dalam mengenal dan menyusun huruf menjadi kata, sedangkan metode bernyanyi dalam pembelajaran perkalian mempermudah siswa memahami dan mengingat konsep numerasi. Selain peningkatan aspek kognitif, motivasi belajar siswa juga mengalami perkembangan positif, ditandai dengan meningkatnya keaktifan, kepercayaan diri, dan keberanian dalam menyelesaikan soal. Dengan demikian, pendampingan belajar yang dilakukan secara terstruktur, kreatif, dan sesuai kebutuhan siswa terbukti efektif dalam membantu mengatasi kesulitan literasi dan numerasi di sekolah dasar. Sebagai rekomendasi untuk penelitian yang akan datang perlu ada pelatihan pola asuh bagi orang tua di Kelurahan Ngedukelu sehingga dapat berdampak signifikan terhadap keberlanjutan motivasi belajar dan prestasi belajar anak.
Co-Authors Anastasia Ndelos Jawa Andi Nafsia Anu, Maria Kalista Api, Jefrianus Ari, Sofia Awe, Ermelinda Yosefa Bara, Florentina Elvin Bara, Florintina Elvin Beatriks Sare Bernadus Agustinus Dhaga Wewu Bili Dama, Yohanes Florianus Elisabeth Tantiana Ngura Ewol, Novalia Sudiatik Fachry Abda El Rahman Finu, Maria Dafrosa Florianus Lahur Florintina Elvin Bara Goan, Bonevantura Hari, Christina Lusiana Harti, Maria Dolfina Hilarion Jogo Jodo, Dominikus Kaka Kapoh, Jeane Rosalia Katharina Kedhi Kedhi, Katharina Key, Katarina Karmelita Kezia Kresensia Lusi Kristiyanti Kurnia Dhajo Kua, Maria Yuliana Lahur, Florianus Laksana, Dek Ngurah Laba Lewa, Yusta Selvianjeli Liku, Fransiska Lindang, Roswita Lola, Teofania Kristina Lujur, Veronika Lusi, Kezia Kresensia Maria Bonifasia Pita Kosu Maria Carmelita Tali Wangge Maria Carmelita Tali Wangge Maria Carmelita Tali Wangge Maria Dafrosa Finu Maria Desidaria Noge Maria Editha Bela Maria Efriliana Diru Maria Hermelinda Meo Maria Kalista Anu Maria Kristina Selo Maria Patrisia Wau Maria Rofina Soge Maria Yoanita Ngina Marsianus Meka Marsianus Meka Mastika Yasa, Putu Agus Eka Mastika Yasa, Putu Agus Eka Mbela, Natalia Megu, Bonifasius Meka, Marsianus Melkior Wewe Melkior Wewe Melkior Wewe Meo, Maria Hermelinda Natalia Mbela Natalia Rosalina Rawa Natalia Rosalina Rawa Natalia Rosalina Rawa Ndao, Yosefa Vilmit Ngao, Priska Ngeo, Matilde Ngina , Maria Yoanita Noa, Priska Ermelinda Novalia Sudiatik Ewol Nurwijayanti Oskarina Gelo Pare Ariance Tanggu Pelipus Wungo Kaka Prisko Yanuarius Djawaria Pare Putrini, Maria Anjelina Raden Mohamad Herdian Bhakti Rasdiyanti, Yohana Rema, Iventius Bai Resi, Marselina Ruba, Yunita Rufina Sare, Beatriks Selo, Maria Kristina Suka, Felista Ripo Tai, Yosefa Veniranda Tali Wangge, Maria Carmelita Tanggu, Pare Ariance Tua, Maria Esterina Veronika Meo Wale, Lafisius Tena Wangge, Maria C.T Wangge, Maria Carmelita Tali Wangge, Maria Carmelita Tali Wangge Wangge, Maria CT Wani, Bernabas Wea, Marselina Wea, Rosadalima Wewe, Melkior Wewe, Melkior Wewe Woli, Roslinantia Yasinta Maria Fono Yoanita Ngina, Maria Yohana Rasdiyanti Yohanes Florianus Dama Yohanes Vianey Sayangan YOSEFINA UGE LAWE . Yunita Rufina Ruba