cover
Contact Name
Benidiktus Tanujaya
Contact Email
b.tanujaya@unipa.ac.id
Phone
-
Journal Mail Official
jurnal.honai.math@unipa.ac.id
Editorial Address
Jalan Gunung Salju, Amban, Manokwari Barat, Amban, Manokwari, Kabupaten Manokwari, Papua Bar. 98314
Location
Kab. manokwari,
Papua barat
INDONESIA
Journal of Honai Math
Published by Universitas Papua
ISSN : 26152185     EISSN : 26152193     DOI : 10.30862
Core Subject : Education, Social,
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 10 Documents
Search results for , issue "Vol. 8 No. 2 (2025): Journal of Honai Math" : 10 Documents clear
Ethnomathematical Exploration of Two-Dimensional Geometric Shapes in Mekongga Traditional House Architecture Ully Hidayati; Irajuana Haidar; Dima Marillah
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 | DOI: 10.30862/jhm.v8i2.805

Abstract

Geometry is a fundamental branch of mathematics, yet many students struggle to comprehend it as they often perceive the subject as disconnected from real-world applications. In reality, geometric concepts are deeply embedded in daily life, particularly evident in traditional architecture. The Mekongga tribe of Southeast Sulawesi, Indonesia, exemplifies this connection through their culturally rich architectural heritage. However, ethnomathematical research on the Mekongga remains limited, despite its significant potential for enhancing contextual mathematics education. This study aims to address this gap by examining geometric shapes in Mekongiga traditional houses. This investigation also highlights the properties of each two- dimensional geometric form discovered. Data collection involved field observations, semi- structured interviews with traditional house guards, and photographic documentation of existing structures. Data analysis was carried out by identifying two-dimensional geometric shapes, focusing on the walls, roofs and stairs which were then visualized using GeoGebra. The findings reveal specific geometric shapes integrated throughout the architectural elements: isosceles triangles and trapezoids are prominent in the roof structure, rectangular shapes dominate the walls designs, and parallelograms are distinctly present in the staircase construction. The formal properties inherent in mathematical principles correspond directly with each two-dimensional geometric shape discovered in the traditional Mekongga houses. This research contributes to the field of ethnomathematics by highlighting how traditional cultural practices incorporate mathematics and suggests applications to connect academic content with students' cultural heritage, providing teachers with authentic contexts for teaching geometric concepts.
The impact of RADEC learning model on the problem-solving ability of high school students Mallo, Bakri; Idris, Mustamin; Nurhayadi; Pathuddin; Dasa Ismaimuza
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 | DOI: 10.30862/jhm.v8i2.822

Abstract

The low learning outcomes and problem-solving abilities of students in Palu City are the driving force for finding a student-centered learning model that can improve the problem-solving abilities of high school students in Palu City. This research method is a quasi-experimental design with an intact group comparison design consisting of two groups, namely the experimental class with the RADEC Model learning treatment with a differentiated learning strategy and the control class with direct learning models. The study population was 3656 students, while the sample was 186 students in the experimental class and 186 students in the control class. The researcher selected the sample by purposive random sampling technique. The instruments used were problem-solving ability tests and learning style questionnaires. Data were analyzed using t-test statistics and two-way ANOVA. The results showed that the RADEC learning model with a differentiated learning strategy had a greater impact when compared to the direct instruction model on the mathematical problem-solving abilities of high school students in Palu City, with a significance value of p = 0.000. The average score of problem-solving ability of students who follow the RADEC learning model is 79.63. While the average score of problem solving of students who follow the direct instruction model is 50.72 that the difference in the impact of the learning model is 28.91. The RADEC learning model does not have a different impact on the mathematical problem-solving ability of high school students in Palu city based on learning styles, so that teachers can implement it in classes that have heterogeneous students in terms of learning styles.
The Ethnomathematics of Symmetric War-boat of Biak Tribe Sroyer, Alvian M.; Nainggolan, Jonner; Beno, Ishak S.; Reba, Felix
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 | DOI: 10.30862/jhm.v8i2.872

Abstract

The Wairon is a traditional warboat of the Biak tribe, characterized by its unique symmetrical structure tailored for combat navigation. This research explores the mathematical principles embedded in its construction from an ethnomathematical perspective, addressing the gap in literature on how indigenous maritime engineering reflects advanced spatial reasoning. The study aims to document and analyze the symmetrical design elements of the Wairon to uncover how Biak boatbuilders apply geometric and anthropometric logic in practice. Using an exploratory qualitative method with triangulation, data were gathered through 12 in-depth interviews with cultural experts and elder artisans, direct observations of three traditional boat-building sessions, and literature analysis of maritime knowledge. Triangulation was applied by comparing themes that emerged independently across these three data sources. The collected qualitative data were analyzed using a thematic coding framework with multiple coding cycles, focusing on patterns of symmetry, measurement techniques, and structural logic. Codes were reviewed through peer validation and saturation was reached after the third data source. Symmetry in this study is operationally defined as bilateral congruence across a central longitudinal axis, as observed in the mirrored placement of najun (crossbeams), outriggers, pegs, and bow carvings. Evidence was gathered through measurements of spatial repetition, alignment consistency, and anthropometric mapping (e.g., arm span and fathom units) used by artisans during construction. Key findings highlight that the Wairon's design reflects a high degree of symmetry not only for aesthetic or symbolic purposes but also for tactical advantages in battle, allowing seamless directional shifts. The theoretical implications contribute to the expansion of ethnomathematics by contextualizing symmetry as both a cultural logic and a navigational solution, while practically, these insights provide a model for integrating indigenous design principles into STEM education and support initiatives for digital heritage preservation and virtual reconstruction of traditional technologies
Differentiated instruction strategies to improve mathematics learning outcomes in elementary school Oktavia, Windi; Asmara, Andes Safarandes; Suparman, Tarpan
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 | DOI: 10.30862/jhm.v8i2.588

Abstract

Mathematics learning in elementary schools often faces persistent challenges arising from the heterogeneity of students’ abilities and learning needs, which frequently hinder the achievement of optimal learning outcomes. Although differentiated instruction has been widely recognized as a promising pedagogical approach for addressing learner diversity, empirical evidence on its effectiveness in mathematics education at the elementary level particularly within the Indonesian context remains limited. This study contributes to filling this gap by examining the impact of differentiated instruction on the mathematics learning outcomes of elementary school students. Employing a quantitative approach with a pre-experimental one-group pretest–posttest design, the study involved 43 purposively selected fifth-grade students from SDN Belendung III during the 2023/2024 academic year. Data were collected through pretest and posttest essay assessments consisting of 10 items and analyzed using SPSS version 24 with a paired sample t-test. The analysis revealed a significant improvement in students’ learning outcomes, with a calculated t-value of 42.187 exceeding the critical value of 2.02, thereby confirming the positive effect of differentiated instruction. These findings highlight the potential of adaptive teaching practices to enhance students’ conceptual understanding and problem-solving skills in mathematics. The study underscores the importance of implementing evidence-based differentiation strategies to promote more inclusive and effective mathematics instruction. The results also provide a foundation for future research to investigate the long-term sustainability of differentiated instruction, its role in shaping students’ attitudes toward mathematics, and the comparative efficacy of specific differentiation techniques.
Students conceptual mode and analytical thinking: Its role during mathematical problem posing and solving Patac, Adriano Jr; Patac, Louida
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 | DOI: 10.30862/jhm.v8i2.749

Abstract

In mathematics education, learners frequently rely on procedural imitation when solving problems, even in contexts that demand deep conceptual understanding. This tendency can obscure underlying structural reasoning, yet the extent to which surface-level cues constrain preservice teachers’ mathematical reasoning remains underexplored. Addressing this gap, the present study investigates how third-year secondary mathematics preservice teachers engage with problems requiring conceptual insight while highlighting potential limitations of procedural imitation. The study involved 15 preservice teachers at a state university during the 2023–2024 academic year. Data were collected using multiple standardized instruments, including a Weekly Log-Journal template, End-of-Week Summary sheets, an Instructor Field-Note protocol, and post-task semi-structured interviews, all validated by experts for clarity and content. Credibility was ensured through triangulation and double coding. Analysis employed directed content analysis with theory-informed a priori codes, refined inductively, alongside reflexive thematic analysis and descriptive cross-case synthesis. Findings revealed that routine problems were predominantly addressed through familiar procedures, with learners focusing on surface similarities in equations, leading to errors and the use of spurious methods. These results suggest that superficially correct solutions may mask inadequate structural understanding, underscoring the necessity of cultivating representational fluency, critical thinking, and deeper conceptual knowledge. To address this, problem-posing rubrics should explicitly define invariant conditions and learning objectives to differentiate isomorphic from non-isomorphic situations and reduce superficial copying. The study’s implications extend to instructional design, advocating interventions that promote structural thinking and computational reasoning. Future research may include quasi-experimental investigations, longitudinal tracking of preservice teachers’ practicum performance, and the integration of tools such as GeoGebra, generative AI software, and spreadsheet packages to enhance structural reasoning and procedural flexibility.
Students’ and Teacher’s Difficulties in Dealing with Real-context Problem: a Case Study Fardah, Dini Kinati; Kusumah, Yaya Sukjaya
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 | DOI: 10.30862/jhm.v8i2.828

Abstract

One of the goals of students studying mathematics is so that students have the ability to solve everyday problems. This ability leads to what is known as mathematical literacy. This article aims to describe the difficulties of teachers in activating mathematical literacy in the classroom and the difficulties of students in solving real-world context problems. This is a case study in a private school in Bandung, Indonesia. Eighteen students and their mathematics teachers were selected as subjects in this study. The results showed that students had difficulty understanding problems, especially non-routine problems that related to real-world contexts, even though they claimed to be familiar with the context given. In addition, students also had difficulty with the prerequisite material to solve the contextual problems given. Facing problems that they were unfamiliar with caused their confidence in solving problems to decrease when compared to their initial level of confidence. Meanwhile, for teachers, students' low reading interest, low reading comprehension, and low reasoning ability were problems for them. Designing a series of activities brought from real-world contexts in open-ended problem types that require reasoning and higher-order thinking skills can be a tool for students to develop mathematical literacy and can help teachers to implement it in their classrooms.
The critical thinking ability of junior high school students in numeracy learning assisted by augmented reality on the topic of rectangular prisms Muhammad Ridho Rahman; Meryansumayeka
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 | DOI: 10.30862/jhm.v8i2.839

Abstract

The increasing focus on computational thinking and numeracy has established critical thinking as a paramount skill in modern mathematics education; however, evidence on how emerging technologies, specifically Augmented Reality (AR), mediate this cognitive process in students remains limited. This study addresses this lacuna by providing an in-depth, mixed-methods analysis of junior high school students' critical thinking performance within an AR-assisted numeracy learning environment, focusing specifically on the challenging domain of rectangular prisms. Employing a descriptive quantitative and qualitative design, this research aims to meticulously describe and evaluate the critical thinking ability of three eighth-grade students selected via purposive sampling across high, moderate, and low initial mathematical ability levels. Data were systematically collected through validated open-ended written tests and follow-up interviews and analyzed using Facione’s framework (interpretation, analysis, evaluation, and inference) with a three-tier performance categorization (> 75: high; 60-74: moderate; < 60: low). The analysis revealed a moderate overall level of critical thinking ability (mean score: 66.62). A direct correlation with prior ability was observed: the high-ability student performed highly across all indicators, the moderate-ability student showed proficiency in interpretation and analysis but deficits in evaluation and inference, and the low-ability student remained low across all four facets. These findings significantly highlight the differential influence of prior mathematical ability on higher-order thinking skills, suggesting that while AR effectively facilitates the visualization and analysis components of critical thinking, complementary pedagogical interventions are necessary to enhance complex skills such as mathematical inference.
Students’ ability of understanding concepts and computational skill based on learning styles in the discovery learning model Hapsari, Rania Febri; Kuswardi, Yemi; Andriatna, Riki
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 | DOI: 10.30862/jhm.v8i2.879

Abstract

Students often face difficulties in both understanding mathematical concepts and performing computations, largely because current teaching methods have not fully supported the development of these skills. This study aims to determine the effect of discovery learning model on conceptual understanding and computational skills based on students' learning styles. This study used a quantitative study with a quasi-experimental design that employed a control group design with a posttest only. This study involved 62 students from a State Junior High School in Sukoharjo Regency, selected through cluster random sampling, with 31 in the experimental group experiencing discovery learning and 31 in the control group receiving direct instruction. Data collection used a test method to measure the ability to understand concepts and computational skills and a questionnaire to categorize students’ learning styles. The data analysis technique used multivariate analysis of variance (MANOVA). The results showed that (1) conceptual understanding and computational skills who were given discovery learning was significantly better than students who were given direct learning; (2) there is no difference in conceptual understanding and computational skills of visual, auditory, and kinesthetic learning style students; (3) in visual, auditory, and kinesthetic learning styles, discovery learning produces better conceptual understanding and computational skills than direct learning; and (4) in discovery learning and direct learing, there is no difference in concept understanding and computational skills of visual, auditory, and kinesthetic learning style students. The results contribute by providing empirical evidence that discovery learning improves students' conceptual understanding and computational skills across different learning styles, providing valuable insights for teachers and curriculum developers in implementing more effective teaching strategies.
Creative Problem-Solving Tasks and Mathematical Creativity: A Second-Order Construct Approach Purwati, Purwati; Wulandari, Tri Candra; Soemantri, Sandha
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 | DOI: 10.30862/jhm.v8i2.944

Abstract

This study aimed to address a research gap by examining the effect of Creative Problem-Solving Tasks (CPST) on students’ creative self-efficacy and creative thinking ability in solving integer operation problems. A quasi-experimental design with a pretest-posttest non-equivalent control group was employed, involving 60 seventh-grade students from two public junior high schools. Participants were divided into an experimental group (CPST-based instruction) and a control group (conventional instruction). Instruments included a creative self-efficacy questionnaire and an open-ended mathematical creative thinking test contextualized in integer operations. Data were analyzed using independent sample t-tests and confirmatory factor analysis. The t-test results showed significant differences between the experimental and control groups in both self-efficacy scores (t(58) = 11.56, p < 0.001) and creative thinking ability (t(58) = 5.22, p < 0.001). The experimental group demonstrated consistent improvement in the dimensions of fluency, flexibility, and originality. Confirmatory factor analysis supported the structure of mathematical creativity as a second-order construct. These findings indicate that implementing CPST in mathematics instruction significantly enhances students’ confidence and fosters the development of creative thinking simultaneously. The implication of this study highlights the importance of instructional approaches that integrate both affective and cognitive dimensions to support mathematical creativity, particularly in complex topics such as integer operations.
Optimizing statistics education: Analyzing students' perceptions of SPSS usage Cipta, Eliva Sukma; Suryadi, Didi; Herman, Tatang; Al Jupri; Maulana, Dick Dick
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 | DOI: 10.30862/jhm.v8i2.948

Abstract

The integration of statistical software such as SPSS in higher education represents a pivotal advancement, yet limited research has systematically examined how students perceive its pedagogical usefulness and accessibility. Prior studies seldom differentiate between the cognitive and affective dimensions influencing the efficacy of SPSS-assisted learning, leaving a gap in understanding its broader impact on student engagement and competence. Addressing this gap, the present research investigates the novelty of SPSS implementation within statistics coursework, focusing specifically on student perceptions regarding its usefulness and ease of use. Employing a descriptive mixed-methods approach, quantitative data were collected from 85 respondents through a validated and reliable questionnaire comprising 13 items, complemented by qualitative insights from in-depth interviews using open-ended prompts. The findings indicate that student perceptions are predominantly favorable for both usefulness (79.21%) and ease of use (75.18%). Qualitative analysis substantiates these results, highlighting accelerated data analysis, simplified processing, and enhanced visualization as key strengths, while noting initial challenges faced by some participants. The study underscores that optimizing the educational value of SPSS necessitates comprehensive instructional support, thereby informing future curricular improvements designed to foster numeracy and analytical proficiency in statistical learning.

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