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PENGEMBANGAN MODEL PEMBELAJARAN BERBASIS PENGAJUAN MASALAH MATEMATIKA UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS MATEMATIS SISWA SMP Sutji Rochaminah; Anggraini; Gandung Sugita; Baharuddin Paloloang
Aksioma Vol. 11 No. 2 (2022): AKSIOMA : Jurnal Pendidikan Matematika FKIP Universitas Tadulako
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v11i2.2517

Abstract

Tujuan penelitian ini adalah menghasilkan model pembelajaran berbasis pengajuan masalah matematika yang dapat meningkatkan kemampuan berpikir kritis matematis siswa SMP yang valid. Penelitian ini menggunakan pendekatan penelitian dan pengembangan (R&D) yang merupakan tahap pengembangan sebagai lanjutan dari tahap Studi Pendahuluan. Hasil dari tahap pengembangan menghasilkan model pembelajaran berbasis pengajuan masalah matematika yang valid. Kesimpulan penelitian ini bahwa model pembelajaran berbasis pengajuan masalah matematika memuat komponen sintaks yang terdiri atas 6 fase yaitu 1 Persiapan, 2, Penyajian informasi, 3 Pemberian Rangsangan, 4 Pengajuan soal, 5 Pembimbingan dan 6 Evaluasi, sistem sosialnya yaitu pembelajaran berpusat pada proses pengajuan soal, prinsip reaksinya yaitu guru membimbing, mengevaluasi dan memberikan umpan balik proses pengajuan masalah matematika, sistem pendukungnya adalah situasi masalah atau soal-soal yang merangsang siswa untuk mengajukan soal. Dampak instruksionalnya yaitu meningkatnya kemampuan berpikir kritis, sedangkan dampak pengiringnya yaitu kepercayaan diri, kemampuan untuk mengendalikan diri, dan memotivasi.
ANALISIS KESALAHAN SISWA DI MTs ALKHAIRAT SIBALAYA DALAM MENYELESAIKAN SOAL CERITA PADA MATERI PELUANG BERDASARKAN PROSEDUR NEWMAN DITINJAU DARI JENIS KELAMIN: Analysis of Errors Made by Students At MTs Alkhairat Sibalaya In Solving Story Problems on Probability Material Based on The Newman Procedure Viewed From Gender Rifai, Mohammad; Idris, Mustamin; Rochaminah, Sutji; Karniman, Tegoeh S.
Aksioma Vol. 13 No. 1 (2024): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v13i1.4353

Abstract

This research aims to obtain a description of the mistakes of class IX students at MTs Alkhairat Sibalaya in solving word problems on chance material based on the Newman procedure in terms of gender. The subjects of this research were one male and one female student in class IXB MTs Alkhairat Sibalaya who made the most mistakes. This type of research is qualitative research with a descriptive approach. Data was collected by means of written tests and interviews. The data analysis techniques in this research are data condensation, data presentation, and drawing conclusions. The results of the study showed that female and male students had the same types of errors: Male students made (1) Process skills error types, namely making mistakes in carrying out calculations and not continuing the solution procedure (2) Types of errors in writing the final answer, namely not writing conclusion. Female students made (1) a type of process skill error, namely carrying out the wrong steps or procedure for solving a problem and (2) a type of error in writing the final answer, namely not writing a conclusion.
PENERAPAN MODEL PEMBELAJARAN KOOPERATIF TIPE STAD UNTUK MENINGKATKAN HASIL BELAJAR SISWA KELAS VII MTsN 4 KOTA PALU: Application Of STAD Tipe Cooperative Learning Model To Increase Student Results Class VII MTsN 4 Kota Palu Nggariwo, Febryanti; M., Bakri; Hadjar, Ibnu; Rochaminah, Sutji; Hatin, Murni A.
Aksioma Vol. 13 No. 2 (2024): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v13i2.4370

Abstract

This research aims to describe the application of the STAD type cooperative learning model that can improve student learning outcomes on line and angle material at MTs Negeri 4 Palu City. This research is a Classroom Action Research (PTK) with Kemmis and Mc. Taggart design. This research was conducted in two cycles with 20 students, with two meetings in each cycle that followed the steps of the STAD type cooperative learning model. The results of the study: (1) the results of teacher activity observations in cycle I reached 79.41% with good criteria and in cycle II reached 94.11% with very good criteria. While the observation of student activities in cycle I reached 73.52% with good criteria and in cycle II reached 85.29% with very good criteria. (2) the percentage of classical learning completeness in cycle I was 55% and cycle II reached 75% Thus it can be concluded that there is an increase in student learning outcomes on line and angle material in class VIIe MTs Negeri 4 Palu City by applying the following phases: (1) class presentation, (2) transition to team/group learning, (3) team study and monitoring, (4) evaluation/test, (5) awarding.
PENERAPAN PEMBELAJARAN BERBASIS MASALAH UNTUK MENINGKATKAN HASIL BELAJAR PADA MATERI BANGUN RUANG SISI DATAR SISWA KELAS VIII MTSN 4 KOTA PALU: The Application Of Problem-Based Learning To Improve Learning Outcomes In The Material Flat-Sided Space Building Material VIII MTsN 4 Kota Palu Gayatri, Refma; Rochaminah, Sutji; Hadjar, Ibnu; Nurhayadi, Nurhayadi
Aksioma Vol. 13 No. 2 (2024): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v13i2.4371

Abstract

This study aims to describe the application of problem-based learning to improve learning outcomes on the topic of plane solid figures for eighth-grade students at MTs.N 4 Kota Palu. This research is a classroom action research that follows the Kemmis and McTaggart design, which includes planning, action implementation, observation, and reflection. The subjects of this study were all 30 students of class VIII B enrolled in the 2023/2024 academic year. The study consists of two cycles, each with two meetings. The results of this study show an improvement in student learning outcomes from cycle I to cycle II, indicated by the increase in the number of students who achieved the minimum completeness criteria overall. In cycle I, 16.67% or 5 students met the minimum completeness criteria. In cycle II, the number of students meeting the minimum completeness criteria increased to 73.33% or 22 students. The results of teacher activity observation were in the good category with a score of 80% in cycle I, which increased to 84.83% in cycle II. The results of student activity observation in cycle I were in the good category and improved to the very good category in cycle II. Therefore, it can be concluded that the application of problem-based learning can improve student learning outcomes using the following phases: (1) Orienting students to the problem, in phase 1, students engage directly with the topic by relating the problem to real-life situations. (2) Organizing students for learning, in phase 2, students form predetermined study groups to complete the LKPD, with the researcher considering the students' familiarity with one another. (3) Guiding individual and group investigations, in phase 3, students express their ideas through group discussions with the researcher's assistance. (4) Developing and presenting work, in phase 4, students randomly present their group's work with good topic mastery and responsibility within their group. (5) Analyzing and evaluating the problem-solving process, in phase 5, students analyze the presentation results with intellectual ability, identify errors, explain correct answers, and summarize findings to construct knowledge from group work.
ANALISIS KESALAHAN DALAM MENYELESAIKAN SOAL PERSAMAAN LOGARITMA SISWA KELAS X MIA 1 SMAN 1 SINDUE TOBATA : Analysis of Errors in Solving Logarithm Equation Problems of Class X MIA 1 Students SMAN 1 Sindue Tobata Alam, Hitman; Paloloang, Baharuddin; Hasbi, Muh.; Rochaminah, Sutji
Aksioma Vol. 14 No. 1 (2025): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v14i1.4378

Abstract

The aim of this research is to obtain a description of the error analysis in solving logarithmic equation questions for Class X MIA 1 SMAN 1 Sindue Tobata students according to the Kastolan indicator. Kastolan indicators include, Conceptual Errors, Procedural Errors, and Technical Errors. This type of research is qualitative research. The subjects in this research were 2 students taken from 24 students of class X MIA 1 SMAN 1 Sindue Tobata in the even semester 2023/2024. Subjects were chosen by considering 1) the student made more mistakes than other students, 2) the errors varied. Data was obtained from the results of written tests and interviews with research subjects. The results of this research show that mistakes made by students in the Kastolan indicators that have been determined are conceptual errors by not being able to choose the formula/property of logarithms correctly. The causal factor is that students do not understand the concept of logarithms presented by the teacher. Procedural errors are indicated by errors in answering questions which result in the steps written by students being wrong and also not being completed until the final answer. The causal factor is that students do not understand how to determine the steps to solve logarithmic equations in their simplest form. Technical errors where students make mistakes in calculating operations or make mistakes in moving numbers or calculation operations from one step to the next, the factor causing this error is that students make mistakes in operating the numbers.
PROFIL BERPIKIR KRITIS SISWA KELAS VIII MTs ALKHAIRAAT MALENI DALAM MENYELESAIKAN SOAL SISTEM PERSAMAAN LINEAR DUA VARIABEL: Critical Thinking Analysis Of Class VIII Students At Mts Al Khairaat Maleni In Solving Problems Of Two Variables Linear Equation System Mardiana, Nanang; Paloloang, Baharuddin; Hasbi, Muh.; Rochaminah, Sutji
Aksioma Vol. 14 No. 1 (2025): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v14i1.4385

Abstract

This study aims to obtain a description of students' critical thinking in solving problems on the system of linear equations of two variables at MTs Alkhairaat Maleni. This type of research is descriptive with a qualitative approach. The subjects in this study were students of class VIII B MTs Alkhairaat Maleni consisting of three people, namely one student each with high, medium and low mathematics abilities. Data collection techniques used written tests and interviews. The results of this study indicate that (1) The critical thinking profile of subjects with high mathematics ability is a subject who is able to master the FRISCO indicators (focus, reason, inference, situation, clarity, and overview). Subjects with moderate mathematics ability are subjects who only partially master the FRISCO indicators, namely the subject does not provide the right reasons to support the conclusions he makes (reason). The subject determines the steps to solve the problem. But the subject is less precise in concluding the solution to the problem (inference). The subject with low mathematics ability, namely the subject who also partially mastered the FRISCO indicator, namely the subject also gave inappropriate reasons to support the conclusions he made (reason). The subject determines the first step in solving the problem. But in solving the problem the subject is not correct in determining the solution strategy (inference). The subject did not use all the information that was in accordance with the problem in the problem (situation). The subject did not recheck what had been done (overview).
PROFIL KEMAMPUAN PEMBUKTIAN MATEMATIKA MENGGUNAKAN METODE INDUKSI MATEMATIK SISWA KELAS XI SMAN 5 MODEL PALU DITINJAU DARI GAYA BELAJAR Jusmawati, Jusmawati; Paloloang, Baharuddin; Rochaminah, Sutji; Hasbi, Muh.
Aksioma Vol. 14 No. 2 (2025): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v14i2.5311

Abstract

This study aims to describe the ability of mathematical proof using mathematical induction method of students who have visual, auditorial and kinesthetic learning styles. The subjects of this research are 3 students who are representatives of each learning style, namely 1 student who has a visual learning style, 1 student who has an auditory learning style and 1 student who has a kinesthetic learning style. This research is a descriptive research that describes students' mathematical proof ability using mathematical induction method adapted to visual, auditory and kinesthetic learning styles. The results showed that students with visual and auditorial learning styles were able to perform mathematical proof using mathematical induction in the basic steps and induction steps but only up to the correct assumption for n = k while students with kinesthetic learning styles could not apply the principle of mathematical induction correctly, in th basic steps students substituted n = 1 and n = 2 into the statement and ther were error in arithmetic operations.
Tracing how students make sense of convergent sequences through their preferred mathematical representations: A phenomenological exploration Nursupiamin; Rochaminah, Sutji; Pathuddin; Sukayasa; Sudarsana, I Wayan
Journal of Advanced Sciences and Mathematics Education Vol. 5 No. 2 (2025): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v5i2.886

Abstract

Background: Many students struggle to understand convergent sequences when they depend on only one form of mathematical representation, which limits how they interpret the idea of a sequence approaching its limit. Aim: This study explores how students who naturally rely on symbolic, visual, or verbal representations experience the process of solving convergent sequence problems. The goal is to understand how they construct meaning, the strategies they choose, and the points at which they feel uncertain when shifting between different modes of representation. Method: A descriptive phenomenological approach was used with seven participants selected through AHP–TOPSIS classification of Dominant Mathematical Representations. Data were gathered from written work, observations, and individual interviews, then analyzed using Colaizzi’s stages. Themes were refined through triangulation to ensure consistency and credibility. Results: Symbolic-oriented students tended to rely on procedural steps and showed little inclination to move beyond formulas. Students who preferred visual thinking used sketches to build intuition but hesitated when expressing their ideas in symbolic form. Those with a verbal orientation explained their reasoning narratively yet were less confident when formal notation was required. Across all participants, shifts between representations occurred rarely, and emotional responses—such as hesitation or relief—often accompanied these moments. Conclusion: The findings indicate that students’ understanding of convergence is shaped strongly by the representational mode they depend on. This limited flexibility suggests the need for instructional approaches that actively support transitions between symbolic, visual, and verbal representations so students can develop a more connected and meaningful understanding of convergent sequences
Representational Transition Patterns of Pre-service Teachers in Solving Convergent Sequence Problems Nursupiamin; Rochaminah, Sutji; Sudarsana, I Wayan
Tadris: Jurnal Keguruan dan Ilmu Tarbiyah Vol 10 No 2 (2025): Tadris: Jurnal Keguruan dan Ilmu Tarbiyah
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/tadris.v10i1.28603

Abstract

This study investigates the representational transition patterns of pre-service teachers in solving convergent-sequence problems, with a focus on how they utilize symbolic, visual, and verbal representations. Using a qualitative phenomenological design, seven pre-service mathematics teachers were purposively selected based on their dominant representation modes (symbolic, visual, verbal). Participants solved a convergent-sequence task, and their problem-solving processes were analyzed using a modified Colaizzi method, with triangulation ensuring the validity of the findings. Three key patterns emerged: a stagnant reliance on a single representation mode (symbolic or verbal), a linear transition from visual to symbolic forms, and a complementary use of symbolic and verbal representations. No cyclic or complex transition patterns were identified, indicating limited representational fluency. The findings highlight the dominance of symbolic representations among pre-service teachers, with some exhibiting limited representational flexibility. The study suggests that fostering representational fluency, where students can effectively transition between different forms, is crucial for deeper conceptual understanding, especially in abstract topics like convergent sequences. Pedagogically, the study underscores the importance of instructional strategies that encourage the integration and transition across symbolic, visual, and verbal representations. This research contributes to the understanding of representational transition patterns in real analysis, an area often underexplored in mathematics education, and offers insights for improving teacher preparation programs.
PENERAPAN MODEL PEMBELAJARAN KOOPERATIF TIPE TAI (TEAM ASSISTED INDIVIDUALIZATION) UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS VII MTs POLITANI MACCIRINNAE TIKKE PADA MATERI OPERASI BENTUK ALJABAR: Applying The Cooperative Learning Model of TAI (Team Assisted Individualization) Type to Improve Students Mathematics Learning Outcomes in Class VII of MTs Politani Maccirinnae Tikke on the Algebraic Operation Material Mirnawati Mirnawati; Mustamin Idris; Sutji Rochaminah
Jurnal Elektronik Pendidikan Matematika Tadulako Vol. 12 No. 3 (2025): Jurnal Elektronik Pendidikan Matematika Tadulako (JEPMT)
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/jepmt.v12i3.2861

Abstract

The purpose of this study was to describe the Application of the Team Assisted Individualization (TAI) Type of Cooperative Learning Model which can improve the Mathematics Learning Outcomes of Class VII MTs Politani Maccirinnae Tikke in material on Algebraic Operations. The research subjects were 30 students of class VII, consisting of 11 male students and 19 female students, and three students were selected as informants. This research was conducted in two cycles. The results showed that the application of the TAI-type cooperative learning model could improve student learning outcomes in material for algebraic operations in class VII MTs Politani Maccirinnae Tikke by following the phases of cooperative learning, namely: at the first meeting 1) conveying goals and motivating students, the teacher conveys material and learning objectives and motivate students to be enthusiastic and actively involved in learning. Next, provide apperception by reminding the material previously studied, 2) present information, the teacher briefly describes the phases of the TAI type cooperative learning model that will be applied in learning, then the teacher distributes worksheets to be worked on individually, 3) organizes students into groups -study groups, the teacher divides students into 5 study groups (Teams), 4) guides the work and study groups, the teacher gives new LKPD to each group and conveys that individual work results are discussed in groups. The results of the discussion are concluded in the answers to the LKPD (Team Study), 5) Evaluation, the teacher appoints groups in turn to present the results of their group discussions (Whole Class Unit), 6) gives awards, the teacher announces the best group from group learning results and gives awards in the form of applause (Team Score and Team Recognition), and at the second meeting the teacher gave a final action test (Fact Test). This is indicated by the percentage of students' classical completeness in cycle I of 57.14% increasing to 80.76% in cycle II. The results of observations of teacher activity in cycle I were in the good category with a total score of 37 and an increase in cycle II was in the very good category with a total score of 45. The results of observations of student activity in cycle I were in the good category with a total score of 36 and an increase in cycle II is in the very good category with a total score of 45.
Co-Authors Abd Hamid Abd. Hamid Abd. Hamid Abd. Hamid Abd.Hamid Abd.Hamid Abda Abda Agnes Desy Leliana Ahdar Akbar, Guntur Moh. Akhyar H. M. Tawil Alam, Hitman Alfiliansi Alfiliansi, Alfiliansi Alfisyahra Alma, Alma Saputri Ananta, Puja Asti Anggraini Anggraini Anggraini Anggraini Anggraini Anriani, Anriani Apriyanti Wulandari Arfanuddin, Arfanuddin Arifa Nur Ayu Ashar Ashar Ashar Asnur Ali Ayu Munira Ayu, Arifa Nur Badjeber, Rafiq Baharuddin Baharuddin Baharuddin Baharuddin Paloloang Baharuddin Paloloang Baharuddin Paloloang Baharuddin Paloloang Baid, Nurfaida Bakri Bakri Bakri Bakri Bakri M Bakri M. Bakri Mallo Bakri Mallo Barakati, Intan Faramita Basri, Risna Chairani, Munajah Dasa Ismaimuza Deviana, Sri Dewi Puspita Dewi Safitri DIAN APRIANI Dianra, Atmika Radifa Djafar, Yuniarti H Dyantari, Putu Eka Sutarsi Sagita Ermayanti, Ni Luh Evie Awuy Evie Awuy Fajriani Fini Widyawati Hi. Hafid Fitri, Rinil Fitrianti Fitrianti Gandung Sugita Gayatri, Refma Guntur Moh. Akbar Hadija Hadija Hadija Hajerina, Hajerina Haliza Hapsa Hasanuddin, Mutiah Hatin, Murni A. Hedarwati, Hedarwati Henita Rahmayanti Herdawati Herdawati Herdawati, Herdawati Huber Yaspin Tandi I Nyoman Murdiana I Nyoman Murdiana I Wayan Sudarsana I Wayan Sudarsana Ibni Hadjar Ikram, Muhammad Intan Faramita Barakati Ismaimuza, Dasa Ismaimuza Istiqomah Jaeng, Maxinus Jemamut, Natalia Jusmawati Jusmawati, Jusmawati Karniman, Tegoeh S Karniman, Tegoeh S. Kasim, Sitti Ruqaiyyah Laksono Trisnantoro Lamanja, Nurannisa S Lantang, Nortje D.J. Lilis Lilis liloi, olvi M, Bakri M. Ikhsan M., Bakri Malia Fitriani Mardiana, Nanang Mastura, Ayu Maxinus Jaeng Mecawati, Niluh Putu Ayu Meinarni, Welli Mirnawati Mirnawati Mirnawati Mirnawati Mirnawati Mirnawati Moh. Rian Firdaus Mu’afiah, Ummi Mubarik Muh Hasbi Muh Hasbi Muh. Hasbi Muh. Hasbi Muh. Rizal Muh. Rizal Muliyati Munajah Chairani Musdalifah Musdalifah Musfira, Musfira MUSTAMIN IDRIS Mustamin Idris Nasir, Rahma Ndawu, Tirta Andriani Nggariwo, Febryanti Ni Made Sari Indahyani Niluh Putu Ayu Mecawati Nimsing Nimsing Nofriana Tolabada Novia Astriani Nur Anisa Nur Islamiah, Nur Nur Islamiyah Nur Safitri Nurannisa S Lamanja Nurfadila Nurfadila, Nurfadila Nurhayadi Nurhayadi Nurhikmah Nurhikmah Nursupiamin Nursupiamin, Nursupiamin Paloloang, Muhammad Fachri B Paloloang, Muhammad Fachri B. Pathuddin Putu Dyantari Rahayu, Wan Indra Ari Rajab Rajab Rajab, Rajab Resnawati Rifai, Mohammad Rifal, Mohammad Rita Lefrida Rizka Amalia Rohmah, Zakiah Roni Dudung Paembonan Rosyidah, Anni Syakhiyatur Rustan, Edhy Safira Afrilia Sari, Nurhalisa Fitra Sasmitha Puri Indah SATRIYAS ILYAS Selvy Musdalifah Siti Hadijah Siti Hadijah Siti Helmyati Siti Maryam Sitti Ruqaiyyah Kasim Sry Yasma Suciati, Indah Sudarman Bennu Sudarsono Sukayasa Sukayasa Sukayasa Sukri, Shara Rafiqa Nurulcholillah Suprianto Suprianto Tegoeh S Karniman Tegoeh S. Karniman Tirta Andriani Ndawu Ummi Mu’afiah Unggul Wahyono USWATUN HASANAH Uswatun Hasanah WAHYUNI Widyawati, Fini Windawati Wulandari, Apriyanti Zahariati Zahariati Zakiah Rohmah Zulkifli