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<article xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.3" article-type="research-article"><front><journal-meta><journal-id journal-id-type="issn">2541-2590</journal-id><journal-title-group><journal-title>JRAMathEdu (Journal of Research and Advances in Mathematics Education)</journal-title><abbrev-journal-title>J.Res.Adv.Math.Educ</abbrev-journal-title></journal-title-group><issn pub-type="epub">2541-2590</issn><issn pub-type="ppub">2503-3697</issn><publisher><publisher-name>Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23917/jramathedu.v10i2.7058</article-id><article-categories/><title-group><article-title>Effects of Buddy system on year 9 students’ mathematical discernments and performance</article-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>Jamil</surname><given-names>Siti Nur Amalina</given-names></name><address><country>Brunei Darussalam</country></address><xref ref-type="aff" rid="AFF-1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-9395-0798</contrib-id><name><surname>Shahrill</surname><given-names>Associate Professor Dr Masitah</given-names></name><address><country>Brunei Darussalam</country><email>masitah.shahrill@ubd.edu.bn</email></address><xref ref-type="aff" rid="AFF-1"/><xref ref-type="corresp" rid="cor-1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0443-1647</contrib-id><name><surname>Sari</surname><given-names>Yurizka Melia</given-names></name><address><country>Indonesia</country></address><xref ref-type="aff" rid="AFF-2"/></contrib><aff id="AFF-1">Sultan Hassanal Bolkiah Institute of Education, Universiti Brunei Darussalam</aff><aff id="AFF-2">Universitas Negeri Surabaya</aff></contrib-group><author-notes><corresp id="cor-1"><bold>Corresponding author:  Associate Professor Dr Masitah Shahrill</bold>, Sultan Hassanal Bolkiah Institute of Education, Universiti Brunei Darussalam .Email:<email>masitah.shahrill@ubd.edu.bn</email></corresp></author-notes><pub-date date-type="pub" iso-8601-date="2025-4-30" publication-format="electronic"><day>30</day><month>4</month><year>2025</year></pub-date><pub-date date-type="collection" iso-8601-date="2025-4-30" publication-format="electronic"><day>30</day><month>4</month><year>2025</year></pub-date><volume>10</volume><issue>2</issue><fpage>81</fpage><lpage>89</lpage><history><date date-type="received" iso-8601-date="2024-11-4"><day>4</day><month>11</month><year>2024</year></date><date date-type="rev-recd" iso-8601-date="2025-3-21"><day>21</day><month>3</month><year>2025</year></date><date date-type="accepted" iso-8601-date="2025-4-25"><day>25</day><month>4</month><year>2025</year></date></history><permissions><copyright-statement>Copyright (c) 2025 Ms Siti Nur Amalina Jamil, Associate Professor Dr Masitah Shahrill, Yurizka Melia Sari</copyright-statement><copyright-year>2025</copyright-year><copyright-holder>Ms Siti Nur Amalina Jamil, Associate Professor Dr Masitah Shahrill, Yurizka Melia Sari</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0</ali:license_ref><license-p>This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.</license-p></license></permissions><self-uri xlink:href="https://journals2.ums.ac.id/index.php/jramathedu/article/view/7058" xlink:title="Effects of Buddy system on year 9 students’ mathematical discernments and performance">Effects of Buddy system on year 9 students’ mathematical discernments and performance</self-uri><abstract><p>Cooperative learning is a student-centred approach that enhances engagement and understanding. This study investigates the effectiveness of the Buddy system, a cooperative learning strategy, in improving Year 9 students’ mathematical performance in converting between decimals, fractions, and percentages (DFP), and explores their perceptions of the system. Conducted in Brunei, where the Buddy system is relatively underexplored, the study employed a mixed-methods design using pre- and post-tests, questionnaires, and student reflection journals across three intervention cycles. Results showed an overall improvement in test scores, though a few students experienced slight score declines. Students generally viewed the Buddy system positively, citing peer guidance, emotional support, and collaborative learning as key benefits. While the findings support the system’s potential within this specific context, further research is needed to assess its applicability across subjects or educational levels.</p></abstract><kwd-group><kwd>Buddy system</kwd><kwd>Cooperative learning</kwd><kwd>Student discernments and performance</kwd><kwd>Secondary mathematics</kwd></kwd-group><funding-group><funding-statement>This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.</funding-statement></funding-group><custom-meta-group><custom-meta><meta-name>File created by JATS Editor</meta-name><meta-value><ext-link ext-link-type="uri" xlink:href="https://jatseditor.com" xlink:title="JATS Editor">JATS Editor</ext-link></meta-value></custom-meta><custom-meta><meta-name>issue-created-year</meta-name><meta-value>2025</meta-value></custom-meta></custom-meta-group></article-meta></front><body><sec><title>INTRODUCTION</title><p>Mathematics remains a challenging subject for many secondary students, particularly in mastering the conversion between decimals, fractions, and percentages (DFP). Misunderstanding these foundational concepts can negatively impact broader mathematical competencies, including problem-solving, ratios, and data interpretation (<xref ref-type="bibr" rid="BIBR-12">(Hong et al., 2020)</xref>; <xref ref-type="bibr" rid="BIBR-31">(Sweeney &amp; Quinn, 2000)</xref>). Despite repeated curriculum exposure, students often treat these forms as unrelated, leading to confusion and underperformance (<xref ref-type="bibr" rid="BIBR-24">(Pagni, 2004)</xref>).</p><p>One proposed solution to improve conceptual clarity and engagement is cooperative learning, which emphasizes peer interaction and student-centered instruction. Research consistently shows that cooperative strategies can enhance mathematical understanding, motivation, and problem-solving skills <xref ref-type="bibr" rid="BIBR-9">(Gillies, 2016)</xref>; <xref ref-type="bibr" rid="BIBR-13">(Hossain et al., 2012)</xref>; <xref ref-type="bibr" rid="BIBR-15">(Johnson &amp; Johnson, 2019)</xref>). Among these strategies, the Buddy system, where students work in consistent pairs to support each other’s learning, has shown promise in enhancing both academic and social outcomes (<xref ref-type="bibr" rid="BIBR-5">(Balan, 2015)</xref>; <xref ref-type="bibr" rid="BIBR-22">(Mohd Zahid et al., 2021)</xref>;<xref ref-type="bibr" rid="BIBR-27">(Reid et al., 2016)</xref>).</p><p>However, most studies on the Buddy system focus on areas like language learning or support for students with disabilities (<xref ref-type="bibr" rid="BIBR-3">(Adams, 2016)</xref>; <xref ref-type="bibr" rid="BIBR-23">(Motzo, 2016)</xref>), with limited evidence of its application in mathematics education. Moreover, the pedagogical relevance and implementation of such systems in Southeast Asian classrooms, especially in Brunei Darussalam and Indonesia, remain underexplored. Although informal peer support may occur in classrooms, there is a notable lack of formalized Buddy system interventions documented in these contexts (<xref ref-type="bibr" rid="BIBR-2">(Abdul Malak, 2015)</xref>; <xref ref-type="bibr" rid="BIBR-35">(Wahat, 2020)</xref>). However, recent Bruneian research has highlighted the growing importance of collaborative and digitally supported pedagogies, particularly during education system transitions <xref ref-type="bibr" rid="BIBR-14">(Johari et al., 2024)</xref>, reinforcing the relevance of peer learning strategies such as the Buddy system. <xref ref-type="bibr" rid="BIBR-8">(Gan &amp; Shahrill, 2019)</xref> and<xref ref-type="bibr" rid="BIBR-25">(Purnomo et al., 2022)</xref>, <xref ref-type="bibr" rid="BIBR-18">(Lestari et al., 2023)</xref> noted that structured peer teaching approaches are still largely absent in Brunei’s mathematics classrooms, where informal or private tutoring tends to dominate the support landscape.</p><p>To address this gap, this study implemented a Buddy system intervention within Year 9 mathematics classes in Brunei, focusing on DFP conversions, a persistent area of difficulty for students. The research is grounded in Cooperative Learning Theory (<xref ref-type="bibr" rid="BIBR-16">(Johnson et al., 1991)</xref>;<xref ref-type="bibr" rid="BIBR-30">(Slavin, 2011)</xref>), which emphasizes positive interdependence, individual accountability, and promotive interaction. In line with this framework, we employed action research to allow the teacher-researcher to improve practice and reflect on the intervention’s impact iteratively (<xref ref-type="bibr" rid="BIBR-7">(Feldman et al., 2018)</xref>; <xref ref-type="bibr" rid="BIBR-33">(Ulvik, 2014)</xref>).</p><p>By examining both student performance and perceptions, this study aims to evaluate the feasibility and potential benefits of a Buddy system in mathematics learning in the Southeast Asian context. The findings may inform future pedagogical practices in Brunei and similar educational settings. Based on the objectives of this study, the following questions were addressed:</p><list list-type="order"><list-item><p>How does the Buddy system affect students’ mathematical performance in converting between decimals, fractions, and percentages?</p></list-item><list-item><p>What are the students’ perceptions of the Buddy system?</p></list-item></list></sec><sec><title>METHODS</title><sec><title>Research design</title><p>This study adopted an action research approach, embedded within a mixed-methods framework. Action research was chosen not only for its practicality in classroom-based inquiry, but also because it allows the teacher-researcher, in this case, a pre-service teacher (the first author), to reflect on and improve their own teaching practice while engaging students in meaningful learning experiences. The study was grounded in the classic model developed by <xref ref-type="bibr" rid="BIBR-19">(Lewin, 1946)</xref>, who described action research as a dynamic cycle involving planning, action, observation, and reflection. These iterative steps were repeated across three lesson cycles to allow gradual refinement of the intervention based on student responses and classroom outcomes.</p></sec><sec><title>Participants and setting</title><p>The participants were 30 Year 9 students from a secondary school in Brunei. The school was selected due to its accessibility and the first author’s practicum placement, which aligns with the authentic and context-sensitive nature of action research. The students came from a mixed-ability mathematics class and were already grouped by the school administration. No selection or streaming based on academic performance was involved. Working within this existing classroom structure helped preserve the ecological validity of the study while providing a real-world setting for the intervention.</p></sec><sec><title>Instruments</title><p>Three data collection tools were used to explore the effects of the Buddy system on students’ performance and perceptions: pre- and post-tests, a questionnaire, and a reflection journal. The pre- and post-tests were specifically developed to assess students’ understanding of conversions between decimals, fractions, and percentages. Each test consisted of a mix of procedural and application-based questions, and experienced mathematics educators reviewed both for content validity. Before full implementation, the items were trialled with a similar Year 9 group to ensure clarity and appropriate difficulty.</p><p>The second instrument was a short questionnaire adapted from<xref ref-type="bibr" rid="BIBR-5">(Balan, 2015)</xref>, which focused on student perceptions of the Buddy system. The questionnaire comprised eight items rated on a four-point Likert scale. To better fit the Bruneian classroom context, minor adjustments were made to the wording of some items. A reliability test showed a Cronbach’s alpha of 0.81, indicating good internal consistency.</p><p>The final instrument, the reflection journal, was used to capture students’ qualitative responses after each intervention cycle. These journals included both closed (yes/no) and open-ended questions, allowing students to express how they worked with their Buddy, what kinds of support they received, and how the experience influenced their learning.</p></sec><sec><title>Intervention procedures</title><p>The intervention unfolded across three classroom cycles, each focusing on a specific aspect of DFP conversion. In the first cycle, students worked with their assigned Buddy to practice converting between percentages and decimals. The second cycle extended this to percentage-to-fraction and fraction-to-decimal conversions. In the third cycle, students created collaborative mind maps that combined the learning from the previous lessons, providing both consolidation and a visual record of their understanding.</p><p>Throughout the sessions, the Buddies were encouraged to engage in active problem-solving with minimal teacher intervention. One student from each group was selected to present their group’s answers and explain their reasoning to the rest of the class, helping to reinforce both accountability and peer teaching. After the final cycle, the students completed the post-test, filled in the perception questionnaire, and submitted their completed reflection journals.</p></sec><sec><title>Ethical considerations</title><p>The Faculty’s Research Ethics Committee granted ethical approval for the study. Formal permission was also obtained from the relevant department at the Ministry of Education in Brunei and the participating school. Informed consent was sought and received from all students and their parents or guardians prior to data collection. To ensure confidentiality, pseudonyms were used instead of students’ real names, and any identifying information was removed from all research outputs. Participation in the study was entirely voluntary, and students were informed that they could withdraw at any time without penalty.</p></sec><sec><title>Data analysis</title><p>Quantitative data from the pre- and post-tests were analysed using paired-sample t-tests to examine overall differences in student performance before and after the intervention. In addition, Wilcoxon signed-rank tests were used to explore changes within subgroups. Descriptive statistics were used to summarise the responses from the perception questionnaire. For the qualitative data, responses from the reflection journals were analysed thematically. Open coding was used to identify recurring ideas, which were then grouped under broader themes such as “guidance,” “support,” and “cooperative learning.” These themes provided more profound insights into how students experienced the Buddy system in a real classroom context.</p></sec></sec><sec><title>FINDINGS</title><sec><title>Addressing RQ1: Performance outcomes</title><p>The first research question focused on the effectiveness of the Buddy system in improving students’ performance in converting between decimals, fractions, and percentages (DFP). As shown in <xref ref-type="table" rid="table-1">Table 1</xref>, students’ post-test scores increased significantly compared to their pre-test scores. The paired-sample t-test results in <xref ref-type="fig" rid="figure-3">Figure 1</xref> confirmed this improvement was statistically significant, with a p-value below 0.05. Further analysis using the Wilcoxon signed-rank test in  <xref ref-type="fig" rid="figure-1">Figure 2</xref>and  <xref ref-type="fig" rid="figure-2">Figure 3</xref> supported the positive effect of the intervention, with the majority of students showing improved ranks after participating in the Buddy system.</p><p>However, four students did not show improvement. According to <xref ref-type="table" rid="table-1">Table 1</xref>, Angela, Kazuha, and Daisy each recorded a one-point drop in their post-test scores, while Kizzy showed a two-point decline. Although these regressions were relatively small, they are essential to note. Review of their journal reflections indicated moments of confusion, difficulty contributing ideas, or reliance on their partners for explanations. These cases highlight that while peer learning often promotes understanding, its effectiveness can vary depending on interpersonal dynamics, individual confidence, and the level of active participation. This reinforces the need for structured peer support and teacher monitoring during implementation (<xref ref-type="bibr" rid="BIBR-1">(Abdul Latif et al., 2024)</xref>; <xref ref-type="bibr" rid="BIBR-4">(Adeniji &amp; Rukayya, 2022)</xref>;</p><fig id="figure-3" ignoredToc=""><label>Figure 1</label><caption><p>Guidance</p></caption><graphic xlink:href="https://journals2.ums.ac.id/jramathedu/article/download/7058/3561/42943" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><fig id="figure-1" ignoredToc=""><label>Figure 2</label><caption><p>Wilcoxon’s signed-rank test result of pre-test and post-test scores for Group A</p></caption><graphic xlink:href="https://journals2.ums.ac.id/jramathedu/article/download/7058/3561/42944" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><fig id="figure-2" ignoredToc=""><label>Figure 3</label><caption><p>Example caption for this image</p></caption><graphic xlink:href="https://journals2.ums.ac.id/jramathedu/article/download/7058/3561/42945" mimetype="image" mime-subtype="png"><alt-text>Image</alt-text></graphic></fig><table-wrap id="table-1" ignoredToc=""><label>Table 1</label><caption><p>Students’ pre-test and post-test results</p></caption><table frame="box" rules="all"><thead><tr><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Name</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Group</p><p>No.</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Pre-Test</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Post-Test</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Score Difference</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Name</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Group No.</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Pre-Test</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Post-Test</p></th><th colspan="1" rowspan="1" style="" align="center" valign="top"><p>Score Difference</p></th></tr></thead><tbody><tr><td colspan="5" rowspan="1" style="" align="center" valign="top"><p>Group A</p></td><td colspan="5" rowspan="1" style="" align="center" valign="top"><p>Group B</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Laney</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Onyx</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>8</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>5</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>7</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Angela</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>-1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Bat</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>8</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>0</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Wix</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Zyla</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>0</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Haze</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Kizzy</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>-2</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Kazuha</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>-1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Ixora</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>5</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Kiwitakop</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Zeon</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Cynthia</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>4</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Bamtori</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>6</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Taylor</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>4</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Nachu</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>13</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Jennifer</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>5</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Bear</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Tulip</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>5</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Lolly</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>6</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Rhys</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>6</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Bonbon</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>13</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Slyvie</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>6</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>13</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Moon A</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>13</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Sage</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>7</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Daisy</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>9</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>-1</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>Polly</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>7</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>17</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Lily</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>11</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>1</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Macha</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>10</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>12</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>2</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Arin</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>16</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p/></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Emms</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>15</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>14</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>–</p></td></tr></tbody></table><table-wrap-foot><p>Legends:</p><p>0–8	 	Need support</p><p>9–11	 	Progressing</p><p>12–17	 	Surpass</p></table-wrap-foot></table-wrap><p><xref ref-type="bibr" rid="BIBR-21">(Mahmud &amp; Wulandari, 2023)</xref>). Meanwhile, the qualitative analysis of students’ journals revealed two key themes that help explain the observed academic performance: Guidance and Support. Meanwhile, the qualitative analysis of students’ journals revealed two key themes that help explain the observed academic performance: Guidance and Support.</p><table-wrap id="table-2" ignoredToc=""><label>Table 2</label><caption><p>Students’ responses on the Buddy system’s effectiveness level</p></caption><table frame="box" rules="all"><tr><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Items on Buddy system</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Mean</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Description</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Interpretation</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>1.    Did Buddy system stimulate your interest in learning mathematics?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.419</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Moderately Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>2.    Did Buddy system help you to understand converting between Decimal, Fraction and Percentage?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.645</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Strongly Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Very Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>3.    Did Buddy system enhance your mathematical skills by performing calculations or using formulas?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.355</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Moderately Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>4.    Did Buddy system motivate you to learn mathematics?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.323</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Moderately Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>5.    Did Buddy system provide you support and help when you are stuck solving mathematical problems?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.645</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Strongly Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Very Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>6.    Did Buddy system help you establish good rapport and working relationships?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.516</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Strongly Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Very Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>7.    Is Buddy system a good method to help you study mathematics?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.581</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Strongly Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Very Effective</p></td></tr><tr><td colspan="1" rowspan="1" style="" align="left" valign="top"><p>8.    Did Buddy system boost your self-esteem and confidence in learning mathematics?</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>3.290</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Agree</p></td><td colspan="1" rowspan="1" style="" align="center" valign="top"><p>Moderately Effective</p></td></tr></table></table-wrap></sec><sec><title>Guidance</title><p>Students expressed appreciation for how their Buddies helped them understand specific steps and strategies during problem-solving:</p><disp-quote><p>“She (Buddy) helped me change 1.36 to a percentage.” </p><attrib>Ixora-1</attrib></disp-quote><disp-quote><p>“My friend teaches me simple techniques to understand.” </p><attrib>Daisy-1</attrib></disp-quote><disp-quote><p>“I learn new things from her (Buddy) and know how to solve that maths question.” </p><attrib>Nachu-1</attrib></disp-quote></sec><sec><title>Support</title><p>The emotional and cognitive reassurance provided by Buddies was another recurring theme:</p><disp-quote><p>“My Buddy helps me whenever I have a problem or am confused or stuck on a question.”</p><attrib>Wix-1</attrib></disp-quote><disp-quote><p>“She (Buddy) helped me understand more regarding a few questions I was confused with. She also corrected some of my mistakes.”</p><attrib>Zeon-1</attrib></disp-quote><disp-quote><p>“She (Buddy) helps more on it by explaining. I got confused about fractions and decimals.”</p><attrib>Bonbon-1</attrib></disp-quote></sec><sec><title>Addressing RQ2: Students’ perceptions</title><p>The second research question explored students’ perceptions of how the Buddy system affected their learning. As shown in <xref ref-type="table" rid="table-2">Table 2</xref>, students responded positively across all items. Most of the items had mean scores above 3.4 on a 4-point Likert scale, corresponding to “Agree” or “Strongly Agree” in the descriptive ratings. The items with the highest mean scores were those related to understanding conversions between decimals, fractions, and percentages (M = 3.645), receiving help when stuck on mathematical problems (M = 3.645), and perceiving the Buddy system as a good method to study mathematics (M = 3.581). Each of these was interpreted as “Very Effective,” indicating strong endorsement of the intervention’s practical value (<xref ref-type="bibr" rid="BIBR-18">(Lestari et al., 2023)</xref>).</p></sec><sec><title>Cooperative learning</title><p>Students described how collaboration in Buddy and group-based tasks helped them develop teamwork, communication, and joint responsibility:</p><disp-quote><p>“She (Buddy) helped me with the mind map, and our teamwork is great.”</p><attrib>Taylor-3</attrib></disp-quote><disp-quote><p>“We planned the mind map together. We divided the examples into two to easily combine them once we’re done.”</p><attrib>Rhys-3</attrib></disp-quote><disp-quote><p>“We both agreed on something together.”</p><attrib>Haze-3</attrib></disp-quote></sec></sec><sec><title>DISCUSSION</title><p>These reflections suggest that dialogic peer explanations often use more accessible language and personalised approaches, supporting conceptual clarity and procedural accuracy (<xref ref-type="bibr" rid="BIBR-20">(Li et al., 2021)</xref>; <xref ref-type="bibr" rid="BIBR-25">(Purnomo et al., 2022)</xref>). This also aligns with <xref ref-type="bibr" rid="BIBR-10">(Gillies, 2020)</xref>, who found that peer scaffolding enhances student learning in mathematics when Buddies assist each other through dialogue and modelling.</p><p>Such emotional and cognitive support is echoed in classroom experiments where peer-assisted models improved persistence and reduced anxiety (<xref ref-type="bibr" rid="BIBR-4">(Adeniji &amp; Rukayya, 2022)</xref>; <xref ref-type="bibr" rid="BIBR-17">(Kurniawan &amp; Saleh, 2023)</xref>). Overall gains in this small sample (n = 30) mirror broader meta-analytic evidence that cooperative strategies reliably boost mathematics achievement (<xref ref-type="bibr" rid="BIBR-21">(Mahmud &amp; Wulandari, 2023)</xref>) and structured peer-assisted learning benefits algebra problem solving <xref ref-type="bibr" rid="BIBR-26">(Putra &amp; Abdullah, 2020)</xref>.</p><p>Nonetheless, the teacher-researcher’s dual role may have introduced Hawthorne effects; future studies with randomised control groups are recommended. The cultural alignment of peer strategies with Bruneian classroom norms may have further supported successful implementation. According to <xref ref-type="bibr" rid="BIBR-11">(Hofstede, 2010)</xref> cultural dimensions, collectivist learning environments are especially well-suited to peer-based interventions such as the Buddy system. Other local studies further confirm positive student perceptions of supplemental peer learning <xref ref-type="bibr" rid="BIBR-18">(Lestari et al., 2023)</xref>.</p><p>Collectively, the quantitative improvements and rich qualitative themes corroborate the growing body of evidence that cooperative learning, whether through structured TGT, peer tutoring, or technology-enhanced formats, enhances engagement and achievement in mathematics (<xref ref-type="bibr" rid="BIBR-10">(Gillies, 2020)</xref>; <xref ref-type="bibr" rid="BIBR-20">(Li et al., 2021)</xref>;<xref ref-type="bibr" rid="BIBR-21">(Mahmud &amp; Wulandari, 2023)</xref>). The Buddy system offers a culturally congruent, low-cost strategy that, when guided and monitored, can yield both cognitive and affective benefits for secondary students in Brunei and comparable contexts.</p><p>This is further supported by evidence from Southeast Asian contexts, where peer-based formative strategies influenced both instructional design and assessment practices in language education (<xref ref-type="bibr" rid="BIBR-32">(Trang et al., 2024)</xref>), indicating the potential cross-disciplinary relevance of structured peer models. This also aligns with prior studies demonstrating the value of structured peer learning in improving engagement, confidence, and classroom cohesion <xref ref-type="bibr" rid="BIBR-5">(Balan, 2015)</xref>;<xref ref-type="bibr" rid="BIBR-22">(Mohd Zahid et al., 2021)</xref>; <xref ref-type="bibr" rid="BIBR-27">(Reid et al., 2016)</xref>).</p></sec><sec><title>CONCLUSIONS</title><p>This study investigated the effectiveness of a Buddy system in supporting Year 8 Bruneian students’ ability to convert between decimals, fractions, and percentages (RQ1) and explored their perceptions of the intervention (RQ2). The findings indicate that most students showed measurable improvement in their post-test performance, and the system was perceived positively by nearly all participants. Quantitative gains were complemented by qualitative insights that revealed three dominant themes: guidance, support, and cooperative learning. These themes were reflected in students’ reflection journals and helped explain how the Buddy system contributed to conceptual understanding and emotional engagement.</p><p>While the results support the value of peer-assisted learning in mathematics, not all students benefited equally. A small number experienced performance declines, underscoring the need for careful pairing and continuous teacher facilitation. The study also has limitations, including a small sample size, the lack of a control group, and the possibility of observer effects due to the teacher-researcher’s presence.</p><p>Despite these constraints, the findings provide encouraging evidence for integrating the Buddy system into mathematics classrooms. It offers a culturally relevant and low-cost approach that promotes peer dialogue, confidence, and collaborative learning, particularly suited to collectivist classroom cultures like Brunei’s. Future research could expand the study to include more diverse schools, extended intervention periods, and comparative control groups to validate further and refine the approach.</p><p>The study affirms that when thoughtfully designed and supported, peer-learning strategies like the Buddy system can enhance academic performance and student engagement in mathematics.</p></sec><sec><title>ACKNOWLEDGMENT</title><p>We express our appreciation to the school administrator, mathematics teachers, and Year 9 students who participated in this study. We also acknowledge Dr. Marlizayati Johari for her valuable academic guidance and encouragement. Special thanks are extended to Mr. Kabara Auwal Halabi (PhD student, SHBIE, UBD) for his research assistance in reviewing and reformatting the manuscript draft before its initial submission.</p></sec></body><back><sec sec-type="author-contributions"><title>Author Contributions</title><p>SNAJ: Conceptualisation, design of the study, classroom intervention, data collection, analysis, and manuscript writing. MS: Manuscript review, editing, and proofreading. YMS: Manuscript review and scholarly feedback. All authors have read and approved the final version of the manuscript.</p></sec><sec><title>Availability of data and materials</title><p>All data are available from the corresponding author upon reasonable request.</p></sec><sec><title>Competing interests</title><p>The authors declare that the publishing of this paper does not involve any conflicts of interest. This work has never been published or offered for publication elsewhere, and it is completely original.</p></sec><sec sec-type="how-to-cite"><title>How to Cite</title><p>Citation: Jamil, S. N. A., Shahrill, M., &amp; Sari, Y. M. (2025). Effects of Buddy system on year 9 students’ mathematical discernments and performance. 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