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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.
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Articles 143 Documents
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Exploring Preservice Mathematics Teachers’ Statistical Literacy: A Mixed-Methods Study with Phenomenological Insights Drajat Friansah Friansah; Ratu Ilma Indra Putri; Yusuf Hartono; Somakim
Journal of Honai Math Vol. 9 No. 1 (2026): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v9i1.1246

Abstract

Statistical literacy is increasingly recognized as a fundamental competence for preservice mathematics teachers because it enables individuals to interpret data, reason under uncertainty, critically evaluate statistical information, and make informed judgments in diverse contexts. Despite its importance, research on statistical literacy has largely emphasized quantitative measurement of achievement, providing limited insight into how preservice teachers experience, interpret, and construct statistical meaning throughout their learning processes. This study explored preservice mathematics teachers’ statistical literacy by integrating quantitative performance data with qualitative interpretations of lived learning experiences through a sequential explanatory mixed-methods design informed by hermeneutic phenomenology. The participants were 36 preservice mathematics teachers enrolled in a statistics course at Universitas PGRI Silampari. Quantitative data were collected using a statistical literacy assessment measuring procedural competence, data interpretation, and contextual reasoning, while qualitative data were obtained through reflective questionnaires and semi-structured interviews. Descriptive statistical analysis and iterative thematic interpretation were employed to examine the data. The findings indicated that although most participants demonstrated satisfactory procedural competence, many encountered difficulties in interpreting statistical information, justifying conclusions, and connecting statistical results to meaningful real-world contexts. Qualitative evidence further revealed that participants’ understandings of statistics were strongly shaped by prior instructional experiences that emphasized formula application over interpretation and reasoning. These findings suggest that the development of statistical literacy involves not only procedural proficiency but also interpretative reasoning, reflective meaning-making, self-confidence, and engagement with contextualized learning experiences, highlighting the need for instructional approaches that support deeper statistical understanding in teacher education.
Mathematical Reasoning in Jemparingan: An Ethnographic Study of Ratio, Acute Angles, and Integer Operations in a Javanese Archery Tradition Novia Ahlul Janah; Dwi Astuti; Rully Charitas Indra Prahmana
Journal of Honai Math Vol. 9 No. 1 (2026): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v9i1.1247

Abstract

Traditional cultural practices have become a major focus in the study of ethnomathematics. However, there is still relatively little empirical research that systematically identifies the mathematical concepts embedded in traditional Javanese games. Therefore, this study aims to identify and analyze the mathematical concepts embedded in Jemparingan , a traditional Yogyakarta archery game, and to examine its relevance to mathematics learning. This research employed a qualitative ethnographic approach. Data were collected through participatory observation, field documentation, and semi-structured interviews with Jemparingan  practitioners. The data was analyzed using thematic analysis, which includes data organization, in-depth reading and data recording, coding, and data interpretation. The findings revealed three mathematical concepts: proportional relationships in equipment measurement, acute angles in bow positioning, and integer operations in score calculation. These patterns are closely associated with the Javanese philosophy of hening-hening (inner calmness), which emphasizes calmness and balance. Overall, this study contributes to ethnomathematics by providing empirical evidence that traditional games can function as authentic representations of mathematical thinking while supporting appreciation of local cultural heritage. These findings encourage educators to consider the integration of local culture into more meaningful mathematics instruction.
Probabilistic Domination in Erdős–Rényi and Random Geometric Graphs: Threshold Analysis and Energy-Efficient Applications in Wireless Sensor Networks Athraa Talib Breesam; Hussein Jameel Mutashar; Mustafa Adil Hussein; AlSeddiq Oday
Journal of Honai Math Vol. 9 No. 1 (2026): Journal of Honai Math
Publisher : Universitas Papua

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30862/jhm.v9i1.1078

Abstract

Wireless sensor networks (WSNs) require efficient strategies that preserve network coverage and connectivity while minimizing communication overhead and energy consumption. However, theoretical domination properties derived from random graph models are rarely integrated with finite-network simulations and practical network-lifetime measures. This study develops a probabilistic domination framework for Erdős–Rényi and random geometric graphs and applies the resulting dominating sets to cluster-head selection in WSNs. Analytical calculations were performed to estimate domination thresholds and dominating-set benchmarks for Erdős–Rényi graphs, whereas 10,000 Monte Carlo simulations were conducted for each parameter configuration to compare greedy and randomized selection algorithms. Performance was evaluated using dominating-set size, variance, coverage ratio, normalized energy cost, first node death, and last node death. The analytical results showed that the domination threshold decreased from 0.08 for a 50-node graph to 0.03 for a 200-node graph, while the relative dominating-set size declined from 24% to 15% of the network. For an Erdős–Rényi graph with 100 nodes and an edge probability of 0.30, the greedy algorithm reduced the mean dominating-set size by 4.8% and its variance by 38.2% compared with randomized selection. In the corresponding WSN scenario, greedy cluster-head selection increased coverage from 0.93 to 0.95, reduced normalized energy cost by 12%, and improved first node death and last node death by 12.5% and 7.1%, respectively. These findings demonstrate that probabilistic domination effectively connects random graph theory with energy-aware WSN design, although broader validation across diverse parameter settings and comprehensive energy models remains necessary.  

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