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Benidiktus Tanujaya
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Journal of Honai Math
Published by Universitas Papua
ISSN : 26152185     EISSN : 26152193     DOI : 10.30862
Core Subject : Education, Social,
Education Mathematics Social Sciences
The journal provides an international forum for the sharing, dissemination and discussion of research, experience and perspectives across a wide range of education, teaching, development, instruction, educational projects and innovations, learning methodologies and new technologies in mathematics education. The focus and scope of JHM includes the following topics Realistic Mathematics Education (RME), Design/Development Research in Mathematics Education, PISA Task, Mathematics Ability, ICT in Mathematics Education, and Ethnomathematics.
Arjuna Subject : -
Articles 124 Documents
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Epistemological obstacle on the topic of prism: A phenomenological study Cahdriyana, Rima Aksen; Sintawati, Mukti
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.674

Abstract

Mathematics learning is often hindered by epistemological obstacles that affect students’ conceptual understanding. In geometry, students frequently struggle to identify and analyze fundamental properties of prisms, despite instructional efforts to improve comprehension. Prior research has primarily focused on procedural fluency rather than the cognitive barriers students face in interpreting mathematical definitions. Addressing this gap, this study investigates the epistemological obstacles eighth-grade students encounter in understanding prisms. Specifically, it examines students’ ability to determine whether a geometric figure qualifies as a prism based on definitional characteristics and to analyze the relationship between two figures with equal volumes. This qualitative study employs a phenomenological approach, involving six purposively selected eighth-grade students. Data were collected through written tests and semi-structured interviews, then analyzed in three stages: identifying core ideas from student responses, categorizing these ideas into conceptual groupings, and thematizing the categorized data into key discussion themes. Findings reveal that students struggle to identify prisms due to difficulties recognizing defining characteristics and determining bases, resulting from didactic transposition issues such as oversimplified definitions, misinterpretation of concepts, and curricular limitations. At the C4 level of Bloom’s Taxonomy, students also struggle to analyze mathematical statements due to reliance on teacher-provided examples. This study contributes to mathematics education by highlighting cognitive barriers in geometric reasoning. The findings emphasize the need for instructional strategies that enhance conceptual clarity and adaptive problem-solving, ultimately fostering deeper geometric understanding.
Bridging culture and math: The Javanese calendar as an educational tool Utami, Niken Wahyu; Putri, Alfianti Kusuma
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.681

Abstract

The Javanese calendar is familiar to Javanese people. The calendar has a contextual side that has many opportunities to be used in learning mathematics. However, the utilization of the Javanese calendar has not been comprehensively explored. This research reveals the mathematical underpinnings of the Javanese calendar and how these can be leveraged to design effective educational strategies. The research method we used was qualitative, through a review of documents containing references to the Javanese calendar and school mathematics literature. The results showed that the Javanese calendar has mathematical value for learning mathematics regarding number recognition and addition, multiples of numbers, and Lowest Common Multiple (LCM). In addition, number sets, data presentation, relations, and functions. This research implies that the Javanese calendar can be used as a context for learning mathematics in schools.
Students field independent-dependent solving surface area of square pyramid: Commognitive perspective Ningrum, Ing Diar Maswal; Lefrida, Rita; Pathuddin; Alfisyahra
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.745

Abstract

Understanding students' cognitive processes in solving mathematical problems is crucial for improving instructional strategies and learning outcomes. However, limited studies have examined students' commognitive aspects in the context of geometric problem-solving, particularly in relation to cognitive styles such as Field-Independent (FI) and Field-Dependent (FD) tendencies. This study addresses this gap by analyzing the four aspects of commognition word use, visual mediators, narratives, and routines demonstrated by students when solving story problems on the surface area of a square pyramid. The study also explores the patterns of thinking and solution strategies employed by FI and FD students in approaching these problems. Conducted in Class VIII A at SMP Negeri 1 Sigi, the study involved two male students, one representing each cognitive style, to highlight differences in problem-solving approaches while controlling for gender. Data collection involved the Group Embedded Figures Test (GEFT) to determine cognitive style, validated problem-solving task sheets, and semi-structured interviews conducted in parallel with the written tasks. Data were analyzed using data condensation, data display, and conclusion drawing techniques. The findings indicate that FI students approach problem-solving with greater detail, clarity, efficiency, and accuracy, explicitly demonstrating all four aspects of commognition. In contrast, FD students exhibit clarity, efficiency, and accuracy but lack detail and thoroughness in their written responses. Both cognitive styles demonstrate all four commognitive aspects, with notable differences in the narrative component FI students explicitly write formulas, whereas FD students understand the formulas but do not record them in writing. These findings provide valuable insights into how cognitive styles influence mathematical problem-solving and commognitive development, offering implications for differentiated instructional strategies in mathematics education.
Exploring pre-service mathematics teachers’ thinking for solving linear programming word problems Jupri, Al; Usdiyana, Dian; Gozali, Sumanang Muhtar
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.748

Abstract

Solving word problems in linear programming presents significant challenges, not only for secondary school students but also for pre-service mathematics teachers. This study aims to investigate the cognitive processes of pre-service mathematics teachers in solving word problems related to linear programming. To achieve this objective, a comprehensive review of mathematics textbooks designed for pre-service teachers and secondary school students, as well as the corresponding curriculum, was conducted to identify an appropriate learning sequence for this topic. Subsequently, key problems were selected to facilitate learning, and predictions regarding the cognitive processes involved in solving these problems were formulated based on Newman’s error analysis framework. Following this preparatory phase, an individual written assessment was administered to 27 pre-service mathematics teachers to examine their problem-solving approaches in linear programming word problems. The findings of this study include the identification of essential word problems in linear programming and a comparative analysis between the predicted and actual problem-solving processes exhibited by the participants. In conclusion, this study highlights the potential of cognitive process predictions in anticipating learning difficulties and informing instructional strategies. These insights can be leveraged to provide targeted support for pre-service teachers facing challenges in problem-solving and to develop pedagogical interventions aimed at enhancing their problem-solving skills.
Computational thinking skills in mathematics: A study of social arithmetic Mulyono, Budi; Hapizah; Sukanda, Dian Cahyawati
Journal of Honai Math Vol. 7 No. 3 (2024): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v7i3.759

Abstract

Computational Thinking (CT) has emerged as a fundamental skill in mathematical problem-solving, fostering logical reasoning and structured approaches to tackling complex problems. Despite its significance, the integration of CT in mathematics education, particularly in secondary school curricula, remains insufficiently explored, leading to a gap in understanding students' proficiency in CT skills. This study aims to investigate the CT abilities of seventh-grade students in solving social arithmetic problems based on four key CT indicators: decomposition, pattern recognition, abstraction, and algorithmic thinking. Data were collected through a set of problem-solving tasks designed to assess each indicator comprehensively. The findings reveal that 25% of students demonstrate high CT proficiency (score >78.12), 52% exhibit medium proficiency (score between 17.78 and 78.12), and 23% fall into the low category (score <17.78). The mean scores for each CT indicator are as follows: decomposition (53), pattern recognition (46), abstraction (40), and algorithmic thinking (53), with abstraction emerging as the weakest area. These results indicate that the majority of students possess only a moderate level of CT competence, particularly struggling with abstraction, which involves identifying critical information and disregarding extraneous details. The study underscores the necessity of developing instructional strategies that enhance students' CT skills, particularly in pattern recognition and abstraction, to foster deeper mathematical understanding and problem-solving capabilities. The findings contribute
How to make “Sumedang” tofu: An ethnomathematics context from West Java Putra, Harry Dwi; Ramdhani, Sendi
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.690

Abstract

Mathematics is one of the subjects that involves abstract concepts, which often poses difficulties for students in understanding the material. One solution to address these challenges is to connect mathematical concepts to students' everyday lives. Sumedang Tofu is a traditional food that is already familiar to students. The abstract mathematical concepts can be understood contextually through the production of Sumedang Tofu. This study aims to explore the mathematical concepts involved in the production of Sumedang Tofu that can be utilized in contextual learning. The research method employed is qualitative descriptive with an ethnographic approach. The research instruments consist of observation sheets, interview guidelines, and documentation sheets. Data collection techniques include direct observation at the Sumedang Tofu production site, interviews with Sumedang Tofu craftsmen, and photographs of the tools used in the production process. The collected data were analyzed using triangulation. The results indicate that in the production of Sumedang Tofu, there are concepts of flat shapes, such as squares and rectangles, as well as three-dimensional shapes, including cubes, rectangular prisms, and open-top cylinders. Additionally, concepts of division, proportionality, and congruence are also present. Sumedang Tofu can serve as a medium for contextual learning in teaching these mathematical concepts.
Learning proof of trigonometric identities with ChatGPT Fitri, Putih; Hartono, Yusuf; Meryansumayeka, Meryansumayeka
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.755

Abstract

The integration of artificial intelligence (AI) into mathematics education has demonstrated potential in enhancing students’ conceptual understanding and reasoning abilities, particularly in the context of mathematical proof. Despite these advancements, limited research has investigated the use of AI-based language models such as ChatGPT to support students in learning the logical structure of trigonometric identity proofs, which remain a challenging topic for many learners. To address this gap, this study introduces a novel learning trajectory assisted by ChatGPT aimed at improving students’ abilities in constructing and understanding trigonometric proofs. Employing a validation study design, the research was conducted in three phases: experimental preparation, experimental design, and retrospective analysis. Data were collected through observations, interviews, document analysis, and written tests, and analyzed qualitatively. A total of 50 eleventh-grade students engaged in three learning activities: studying proofs with ChatGPT-generated explanations, interacting directly with ChatGPT to explore proof strategies, and independently solving proof tasks without AI assistance. The findings indicate that ChatGPT effectively supports students in comprehending the logical steps involved in proof construction, enhances their engagement with mathematical reasoning, and promotes deeper understanding of trigonometric identities. These results highlight the potential impact of conversational AI tools in fostering proof-based thinking and enriching mathematics instruction at the secondary education level.
The effectiveness of the 'matahari' method in improving basic arithmetic skills of junior high school students Sutarman Borean; Sinambela, Mindo Hotmaida; Marlince Anggelina Siep; Risnauli Y. Nainggolan; Tresya Palungan
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.765

Abstract

The persistent disparity in students’ mastery of basic arithmetic concepts presents a critical challenge in mathematics education, particularly in regions with limited pedagogical resources. While traditional approaches often fall short in addressing foundational numerical skills, there is a lack of practical, culturally adaptable methods tailored to early secondary learners. This study introduces the "Matahari" method an acronym for Matematika Hitung Jari as a novel instructional strategy that integrates finger-counting techniques with repetitive practice to enhance arithmetic fluency. The primary aim of this research is to examine the effectiveness of the Matahari method in improving the basic arithmetic skills of seventh-grade students at SMP Biji Sesawi Wamena. Employing a quasi-experimental design with a non-equivalent pretest-posttest control group, the study used random sampling to assign students to experimental and control classes. Validated instruments were utilized for data collection, including tests, questionnaires, observations, interviews, and documentation, while data analysis was conducted using One-Way ANOVA and t-tests. The findings revealed a statistically significant improvement in the arithmetic performance of the experimental group, with an average gain of 14.31 compared to 5.46 in the control group. Moreover, the method received highly favorable responses from both students (87.35%) and teachers (78.33%). These results suggest that the Matahari method holds substantial pedagogical value in enhancing numeracy skills and offers a culturally relevant solution for addressing foundational learning gaps in mathematics.
Designing Learning Trajectory on Ratio and Proportion through PMRI with the Indonesian Traditional Food Context Lucy Asri Purwasi; Zulkardi; Ratu Ilma Indra Putri; Ely Susanti
Journal of Honai Math Vol. 8 No. 1 (2025): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v8i1.787

Abstract

Mastery of the concepts of ratio and proportion is essential in mathematics education, as it underpins students’ ability to develop logical reasoning and proportional thinking skills critical for advanced mathematical understanding. Despite its importance, students often struggle with these concepts due to the lack of learning activities that meaningfully connect mathematics to real-life contexts and cultural relevance. This disconnect highlights a gap in instructional approaches that fail to bridge abstract mathematical content with students’ lived experiences. Addressing this issue, the present study introduces a novel integration of the Pendidikan Matematika Realistik Indonesia (PMRI) approach with local cultural context, specifically the traditional Sumatran dish, namely lemang, to enhance students' conceptual grasp of ratio and proportion. The study aims to design and implement a PMRI-based learning sequence centered on the lemang context to facilitate meaningful learning experiences among junior high school students. Employing a design research methodology, the study involved seventh-grade students at SMP IT An-Nida Lubuklinggau, with data collected through student activity sheets (SAS), classroom observations, interviews, and documentation. Findings indicate that the integration of PMRI with the lemang context significantly supports students' progressive understanding of ratio and proportion, fostering both cognitive engagement and cultural appreciation. This research contributes to the enrichment of mathematics education by demonstrating how culturally contextualized PMRI designs can promote deeper learning and affirm the relevance of mathematical knowledge in students' everyday lives.
Ethnomathematical Exploration of Two-Dimensional Geometric Shapes in Mekongga Traditional House Architecture Hidayati, Ully Hidayati
Journal of Honai Math Vol. 8 No. 2 (2025): Journal of Honai Math
Publisher : Universitas Papua

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

Abstract

This study explores two-dimensional geometric shapes found in the architectural elements of Mekongga traditional houses, focusing on walls, roofs, floors, and stairs. Using an ethnomathematical approach supported by GeoGebra-based modelling, the research identifies geometric concepts such as rectangles, iscoceles triangles, parallelograms, and trapezoid embedded in these structures. The study emphasizes how indigenous builders applied mathematical principles through culturally rooted design processes. GeoGebra was utilized to visualize the geometric shapes found in the architectural components, enabling precise exploration. The findings reveal that Mekongga traditional houses incorporate fundamental two-dimensional geometric concepts shaped by cultural wisdom. This research contributes to preserving cultural heritage while offering new perspectives for integrating ethnomathematics into mathematics education through culturally relevant and technologically enhanced learning resources.

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