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Kognitif: Jurnal Riset HOTS Pendidikan Matematika
Published by Education and Talent Development Center Indonesia
ISSN : 27769984     EISSN : 27769704     DOI : 10.51574/kognitif
Core Subject : Science, Education, Social,
Computer Science & IT Education Library & Information Science Mathematics Social Sciences Other
Tujuan dari jurnal ini adalah untuk mempublikasikan penelitian berkualitas tinggi di bidang pendidikan matematika yang berkaitan dengan Higher Order Thinking Skills (HOTS) termasuk berpikir kritis, berpikir kreatif, penalaran matematis, pemahaman matematis, dll. Kami juga meneima riset tentang pembelajaran dan pengajaran matematika di semua level, baik dalam pembelajaran formal maupun informal.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 535 Documents
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Analysis of Mathematics Teachers’ Difficulties in Implementing Differentiated Learning under the Independent Curriculum Zendrato, Dedy Rahmat; Telaumbanua, Yakin Niat; Mendrofa, Ratna Natalia; Lase, Sadiana
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.3817

Abstract

Merdeka Curriculum promotes differentiated learning as a key strategy to address students’ diverse learning needs. However, a preliminary study at SMA Negeri 3 Gunungsitoli indicates that this approach has not been implemented consistently in mathematics classrooms. This study aims to describe how mathematics teachers apply differentiated learning and to analyze the difficulties they face and the factors influencing these difficulties within the Independent Curriculum. This study employed a qualitative descriptive design. Data were collected through interviews, classroom observations, and document analysis involving five mathematics teachers. The data were analyzed using the Miles and Huberman interactive model, including data reduction, data display, and conclusion drawing. The findings show that teachers have begun to implement differentiation in content, process, and product. However, the implementation remains limited. Major difficulties include time management constraints, diverse student learning characteristics, and challenges in conducting initial diagnostic assessments. Contributing factors include limited facilities, insufficient teacher readiness, and a lack of structured professional training. These findings indicate that differentiated learning in mathematics is still at an early stage of implementation and requires systematic institutional support. This study contributes to the literature by highlighting context-specific challenges faced by mathematics teachers under the Independent Curriculum and provides practical implications for schools and policymakers in designing targeted professional development programs.
Impact of the Auditory, Intellectually, and Repetition (AIR) Learning Model on Students’ Mathematical Critical Thinking Harefa, Indah Natalia; Telaumbanua, Yakin Niat; Mendrofa, Ratna Natalia; Mendrofa, Netti Kariani
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 1 (2026): January - March 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i1.3818

Abstract

Critical thinking is an essential skill in 21st-century mathematics education; however, Indonesian students still demonstrate low achievement in this domain. Preliminary observations at SMP Negeri 8 Gunungsitoli revealed that students’ mathematical critical thinking skills were not yet optimal, partly due to the predominance of conventional instructional approaches. This study examined the effect of the Auditory, Intellectually, and Repetition (AIR) learning model on students’ mathematical critical thinking skills. A quasi-experimental method with a nonequivalent control group design was employed, involving 60 seventh-grade students divided into an experimental group (n = 30) and a control group (n = 30). The research instrument was an essay-based mathematical critical thinking test consisting of three items, which demonstrated logical and empirical validity and satisfactory reliability. The results indicated that both groups had relatively comparable low baseline performance. After the intervention, the experimental group achieved a mean score of 71.80 (high category), whereas the control group reached only 39.80 (low category). An independent-samples t-test showed that t = 10.683 exceeded ttable = 1.672 (p < 0.05), with a very large effect size (Cohen’s d = 2.76). Simple linear regression analysis indicated that the AIR model accounted for 88.6% of the variance in students’ mathematical critical thinking skills (R² = 0.886). These findings confirm that the AIR learning model effectively enhances mathematical critical thinking by engaging students in listening activities, reflective intellectual processing, and repeated practice. This study contributes theoretically to the development of higher-order thinking-oriented mathematics instruction and offers practical implications for teachers and policymakers in promoting interactive, student-centered learning models.
Relationship between Algebraic Thinking Ability and Student’s Mathematical Resilience Rahma, Nazwa Aulia; Sundayana, Rostina
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.3908

Abstract

Algebraic thinking ability and mathematical resilience are two essential elements that support each other in the mathematics learning process. This study aims to determine the relationship between students' algebraic thinking ability and their mathematical resilience. A quantitative correlational method with a cross-sectional design was employed. The population included all seventh-grade students at MTs Al-Musthofa Garut, with a sample of 30 students selected through purposive sampling. Research instruments consisted of an algebraic thinking ability test based on Lew (2004) indicators and a mathematical resilience questionnaire based on Sumarmo (2015) indicators. The validity of both instruments was verified through content and face validity by expert judgment from mathematics teachers, while reliability was calculated using Cronbach’s Alpha coefficients, yielding coefficient reliability 0.700 for the algebraic thinking test and coefficient reliability  0.832 for the mathematical resilience questionnaire. Data were collected in a single classroom session and analyzed using Spearman's correlation as the data were not normally distributed. The results showed a positive and significant relationship between algebraic thinking ability and mathematical resilience, with a correlation coefficient of 0.571 and a significance value of 0.001. These findings indicate that a higher level of algebraic thinking ability corresponds to a higher level of mathematical resilience. Practically, this study confirms that strengthening algebraic thinking skills through gradual and systematic practice can be an effective strategy to enhance students' resilience in learning mathematics.
Development of AIR (Auditory, Intellectually, Repetition)- Based Ethnomathematics E-Modules to Improve Numeracy Literacy Fatmasari, Inayah; Andriani, Siska; Dewi, Novian Riskiana
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.3913

Abstract

The numeracy literacy skills of Indonesian students remain relatively low, particularly in the geometry topics of two-dimensional shapes. One contributing factor is the limited availability of teaching materials that are relevant to local culture, as well as the lack of learning models that actively engage students. This study aims to develop an ethnomathematics-based mathematics e-module using the Auditory, Intellectually, Repetition (AIR) model to enhance students’ numeracy literacy. The research employed a Research and Development (R&D) design with the ADDIE model, which consists of the stages of analysis, design, development, implementation, and evaluation. The research subjects were seventh-grade students of SMP Negeri 3 Belitang Mulya and MTs Al Ihsan Kalirejo. The instruments used included expert validation questionnaires, student response questionnaires, and pretest–posttest assessments. The material expert validation produced an average score of 3.64 (very valid), and the media expert validation produced an average score of 3.84 (very valid). Student responses in both small- and large-group trials indicated a very attractive category, with average scores above 3.45. The effectiveness test showed an effect size of 0.81 (high category). These findings indicate that the ethnomathematics-based e-module using the AIR model is feasible, appealing, and effective for improving students’ numeracy literacy. This research provides an innovative teaching material alternative that is culturally relevant and can serve as a reference for developing more contextual mathematics learning.
Impact of the Outdoor Mathematical Modelling Model Within Differentiated Learning on Students’ Mathematical Literacy Skills Ningsih, Safitri Fatima; Sofnidar, Sofnidar; Iriani, Dewi
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.3926

Abstract

This study was motivated by the low mathematical literacy skills of students at SMP Negeri 17 Batanghari. Based on interview results, this condition occurs because the learning process is still teacher-centered and tends to be conventional, without considering differences in students' readiness and learning characteristics. One way to overcome this is by applying the outdoor modeling mathematics model combined with differentiated learning to accommodate differences in student abilities. This study aims to determine the effect of applying the outdoor modeling mathematics model in differentiated learning on students' mathematical literacy skills. This study uses an experimental design with a Posttest-Only Control Group Design. The research population consisted of all seventh-grade students at SMPN 17 Batanghari, comprising five classes. The research subjects involved three seventh-grade classes selected by simple random sampling. These were experiment class I, which applied the outdoor modeling mathematics model in differentiated learning; experiment class II, which applied the direct instruction model in differentiated learning; and the control class, which applied the direct instruction model. The instruments used in this study were a mathematical ability test, an observation sheet on the implementation of learning by teachers and students, and a posttest in the form of a student mathematical literacy test sheet. All instruments were validated through content validity by experts, namely mathematics education lecturers, to ensure the suitability of the instruments with mathematical literacy indicators and learning objectives. In addition, the test instruments were piloted on students with characteristics similar to the research subjects to obtain empirical validity using Product Moment correlation. The reliability of the test instruments was analyzed using Cronbach's Alpha coefficient so that the test instruments were declared reliable and suitable for use in the study. The analysis method applied was one-way ANOVA, followed by a post hoc Tukey test to process the data obtained. The research findings indicate that the use of the outdoor modeling mathematics model in differentiated learning is better at improving students' mathematical literacy skills, while the direct instruction model in differentiated learning does not show significant results when compared to the direct instruction model. In the three sample classes, the implementation of learning by teachers and students was very good. These findings recommend that mathematics teachers apply the outdoor modeling mathematics model in differentiated learning as an alternative to to improve their mathematical literacy skills.
Analysis of Students' Mathematical Literacy Skills after Participating in Differentiated Learning with the Outdoor Modeling Mathematics Model Halimah, Nida Nur; Sofnidar, Sofnidar; Anwar, Khairul
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 1 (2026): January - March 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i1.3929

Abstract

Students’ mathematical literacy remains a persistent challenge across educational levels and continues to be a critical concern in mathematics education. This condition suggests that existing learning practices are largely dominated by conventional instructional approaches that do not adequately accommodate students’ diverse learning needs and readiness levels. The study aimed to analyze the mathematical literacy abilities of Grade VII junior high school students after participating in differentiated outdoor mathematics learning on integer topics. A mixed-methods research design was employed. Quantitative data were collected from 25 students of Grade VII-B at SMP Negeri 17 Batanghari through the implementation of differentiated outdoor learning activities, supported by learning implementation observation sheets. Subsequently, qualitative data were gathered from six selected students to gain deeper insights into their mathematical literacy processes through analysis of test responses and semi-structured interviews. Mathematical literacy was assessed based on students’ performance on literacy-oriented test items and interview data. The results indicated that overall student completion reached 44%, with 20% of students categorized as having high mathematical literacy, 52% moderate literacy, and 28% low literacy. Further analysis based on students’ learning readiness showed that students with high readiness (S1KBT and S2KBT) achieved completion levels of 98.33% and 83.33%, respectively. Students with moderate readiness (S1KBS and S2KBS) attained 81.66% and 80%, while students with low readiness (S1KBR and S2KBR) reached 78.33% and 53.33%. These findings suggest that differentiated outdoor mathematics learning contributes to the development of students’ mathematical literacy across varying levels of learning readiness.
Ethnomathematics Exploration of West Tulang Bawang Tikew Woven Hendriawati, Novellia; Lestari, Fitria; Noprisa, Noprisa
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 1 (2026): January - March 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i1.3981

Abstract

This study explores ethnomathematical elements embedded in Tikew weaving, a traditional craft of the Lampung culture. To date, no ethnomathematics research has specifically examined Tikew weaving in West Tulang Bawang, indicating a gap in the literature regarding the mathematical and cultural values inherent in this local practice. Therefore, this study aims to identify mathematical concepts from an ethnomathematical perspective and to examine the cultural values reflected in Tikew weaving. This research employed a qualitative ethnographic approach using a multidisciplinary perspective. Data were collected through observations, interviews, and documentation. The research instruments consisted of interview guidelines and observation protocols. Data analysis was conducted using the Miles and Huberman interactive model, which includes data reduction, data display, and conclusion drawing. The findings reveal that Tikew weaving reflects Lampung cultural values while simultaneously exhibiting meaningful mathematical patterns, particularly geometric concepts. These concepts include plane geometry and three-dimensional forms manifested in the structural patterns of Tikew woven products. The results demonstrate that Tikew weaving can serve as a rich source of contextual mathematical ideas grounded in local culture. This study contributes to the enrichment of ethnomathematics literature by documenting mathematical concepts rooted in indigenous cultural practices. In addition, it supports cultural preservation and offers alternative instructional media for mathematics learning based on local culture. By integrating local cultural contexts, mathematics learning can become more meaningful, contextual, and engaging, while also fostering students’ appreciation of cultural heritage.
Exploring the School Environment Through an Ethnomathematics Approach Asih, Rizqi Retno; Nuzulah, Unsiyah; Purnomo, Purnomo
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.4016

Abstract

Mathematics is often perceived as abstract and disconnected from everyday life, causing students to struggle with topics requiring symbolic representation, such as matrices. This situation indicates the need for learning approaches that connect formal concepts with real experiences, highlighting the urgency to address students’ limited ability to link symbolic representations with real contexts. This study aims to describe the process and results of exploring the school environment as a source of mathematical representation for matrix topics through an ethnomathematics approach. This research employed a qualitative approach with a case study design. Participants included one mathematics teacher and two 11th-grade students from SMA Negeri 1 Tengaran. Data were collected through observation, interviews, and documentation; instruments consisted of observation sheets, interview guides, and student worksheets (LKPD). Data analysis used the Miles, Huberman, and Saldana model with technique and source triangulation to enhance credibility. The results indicate that environmental exploration helped students identify real-world patterns representable as matrices, such as flowerpot arrangements, floor patterns, and school artwork. The findings also show contributions to mathematical literacy and the Pancasila Student Profile dimensions particularly critical thinking, creativity, and collaboration. The novelty of this study lies in integrating ethnomathematics into algebra topics (matrix concepts), which are rarely examined, and utilizing a modern school environment as a local context. Implications for teaching include replicating exploration steps such as field observation, pattern recording, and matrix representation to support routine lessons or other topics requiring connections between real objects and mathematical structures.
Using Digital Pythagorean Tangram to Enhance Mathematical Justification Skills of Prospective Mathematics Teachers Adhitya, Yusuf; Putri, Nurmala Setianing; Bustaren, Bill Chairy Rizki
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.4020

Abstract

Mathematical justification is a crucial skill for mathematics teachers because it emphasizes proof and reasoning. This study examines how using the media “Digital Pythagorean Tangrams,” a manipulable, multimedia tool on Polypad, can improve prospective teachers' justification skills when proving the Pythagorean theorem. This research used a one-group pretest-posttest design where students were given a pre-test, then received an intervention using the media, and subsequently completed a post-test. The participants included 44 mathematics education students at a university in Bandung. Instruments comprised a mathematical justification test (pretest and posttest) and Digital Pythagorean Tangram media. Pretest and posttest data were analysed to obtain the N-gain score to estimate the effect size. The N-gain data were analysed using a one-sample t-test to check whether the improvement was statistically significant.  The results revealed an average N-gain score of 0.42, which falls into the medium category, demonstrating a notable improvement in students' mathematical justification skills before and after using the digital tangram media. The One-Sample t-test also indicated a significance level below 0.05, confirming that the increase in students' mathematical justification ability is significant. Integrating digital manipulatives into proof-oriented instruction can meaningfully enhance prospective teachers’ justification skills and may serve as a practical pedagogical approach in mathematics teacher education.
Mathematics in the Tradition of Nusantara Architecture: An Effort to Improve Students’ Problem-Solving Skills Netriwati, Netriwati; Lestari, Ita Dwi; Emilia, Wulan; Mulani, Al Qausar; Nendra, Fadly
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 5 No. 4 (2025): October - December 2025
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v5i4.4083

Abstract

Previous research has explored students' problem-solving abilities, yet few studies have incorporated elements of Nusantara architecture into the mathematics learning process. This study aims to examine the changes in students’ problem-solving skills following the implementation of Nusantara architecture-based learning in the topic of number patterns. This approach is operationalized through the utilization of carving motifs, symmetrical structures of traditional buildings, and construction rhythms as concrete representations of number pattern concepts. The research employed a one-group pretest–posttest design, involving 33 eighth-grade students from SMP Negeri 7 Bandar Lampung as participants. The research instruments consisted of a problem-solving ability test and a student response questionnaire, while the learning process was conducted over four meetings. Because the data did not meet the assumption of normality, the analysis was conducted using the Wilcoxon Signed Rank Test and N-gain calculations to determine the magnitude of improvement in learning outcomes. The results of the analysis showed a significance value of 0.000 < 0.05, indicating a significant difference between the scores before and after the treatment. The N-gain value of 0.7700 falls into the high category, indicating that Nusantara architecture–based learning is able to improve students’ mathematical problem-solving abilities. In addition, the questionnaire results showed that most students gave positive responses to the implementation of this learning approach. Overall, Nusantara architecture–based learning has been proven effective in strengthening students’ understanding of mathematical concepts and providing a more contextual, creative, and culturally grounded learning experience.

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