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Students’ Mathematical Abstraction in Constructing Quadrilateral Concepts: A Learning Style Perspective Widi Yanti; Rita Lefrida; Sutji Rochaminah; Mubarik Mubarik
PRISMA Vol. 15 No. 1 (2026): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v15i1.6237

Abstract

Mathematical abstraction is an important aspect in mathematics learning, especially in helping students form and understand geometric concepts such as quadrilaterals. However, in practice, students' mathematical abstraction process does not always occur uniformly. This is due to differences in individual characteristics, one of which is learning style. Therefore, this study aims to describe the profile of students' mathematical abstraction in forming the concept of quadrilaterals in terms of learning style. This study uses a qualitative approach with a descriptive type. The research subjects consisted of three seventh-grade junior high school students with visual, auditory, and kinesthetic learning styles. Data were collected through a learning style questionnaire, mathematical abstraction tasks on quadrilaterals, and interviews. Data analysis used data condensation, data display, and conclusion drawing and verification. The results of the study showed that students' mathematical abstraction processes differed in each learning style. Visual students were able to go through all aspects of mathematical abstraction (recognizing, building-with, constructing, and consolidation) gradually by utilizing visual representations. Auditory students also achieved all aspects by relying on verbal understanding, although the constructing and consolidation aspects were not systematically arranged. Meanwhile, kinesthetic students rely more on concrete experiences and physical activity in recognizing and consolidating. Therefore, it can be concluded that learning styles determine how students carry out the mathematical abstraction process in forming the concept of quadrilaterals, so this needs to be taken into consideration when designing mathematics learning. Keywords: Mathematical Abstraction; Quadrilaterals; Learning Styles
PENERAPAN MODEL PEMBELAJARAN PBL DENGAN PENDEKATAN TARL UNTUK MENINGKATKAN HASIL BELAJAR SISWA KELAS 7 LAMALONDA PADA MATERI ALJABAR Indri Yani; Rita Lefrida; Sudarsono .
INSPIRAMATIKA Vol. 12 No. 1 (2026): Inspiramatika: Jurnal Inovasi Pendidikan dan Pembelajaran Matematika, Januari-
Publisher : Program Studi Pendidikan Matematika FKIP Universitas Islam Darul Ulum

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/inspiramatika.v12i1.10928

Abstract

Penelitian ini bertujuan untuk meningkatkan hasil belajar matematika materi aljabar melalui penerapan model pembelajaran Problem Based Learning (PBL) yang dikombinasikan dengan pendekatan Teaching at the Right Level (TaRL). Penelitian menggunakan metode Penelitian Tindakan Kelas (PTK) model Kemmis dan McTaggart, yang terdiri dari empat tahap pada setiap siklus: perencanaan, pelaksanaan, observasi, dan refleksi. Subjek penelitian adalah 32 siswa kelas VII Lamalonda SMPN Model Terpadu Madani Palu, semester genap tahun ajaran 2024/2025. Data hasil belajar diperoleh melalui tes pada prasiklus, siklus I, dan siklus II. Hasil penelitian menunjukkan adanya peningkatan ketuntasan belajar secara bertahap. Pada prasiklus, rata-rata nilai siswa adalah 59,3 dengan persentase ketuntasan 21,9%. Setelah penerapan PBL pada siklus I, rata-rata nilai meningkat menjadi 71,2 dengan ketuntasan 56,3%. Pada siklus II, setelah dilakukan perbaikan pembelajaran melalui pendekatan TaRL dengan pembagian kelompok homogen sesuai kemampuan dan bimbingan intensif, rata-rata nilai mencapai 80,4 dengan ketuntasan 87,5%. Peningkatan ini menunjukkan bahwa kombinasi PBL dan TaRL efektif dalam meningkatkan pemahaman konsep aljabar, keaktifan, serta kepercayaan diri siswa, khususnya bagi siswa dengan kemampuan rendah.
STUDENTS’ MATHEMATICAL CONCEPT CONSTRUCTION  ERRORS IN EXPONENT MATERIAL BASED ON MATHEMATICS ANXIETY nur hayati; Rita Lefrida; Mubarik Mubarik; Fajriani Fajriani
Prima: Jurnal Pendidikan Matematika Vol. 10 No. 2 (2026): PRIMA : Jurnal Pendidikan Matematika
Publisher : FKIP Universitas Muhammadiyah Tangerang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31000/fkcz6813

Abstract

This study aims to describe errors in the construction of mathematical concepts related to exponents in light of mathematics anxiety. This study employs a qualitative approach with two subjects, students with low and high levels of mathematics anxiety. Data analysis uses an iterative model consisting of data condensation, data presentation, and drawing conclusions. The results of the study show that students with low mathematics anxiety exhibit pseudo constructions “incorrect” that is, they provide incorrect answers but are able to correct them after reflection, construction holes in the form of correct answers that are not supported by a complete conceptual understanding, and illogical constructions involving reasoning that does not align with the concept of exponents. Meanwhile, students with high levels of mathematics anxiety exhibited conceptual construction holes because they were not yet able to fully grasp the concept of exponents. Mis-analogical construction involved the use of inappropriate analogies when applying the properties of exponents, while mis-logical construction involved flawed reasoning when solving problems involving exponents. The research findings indicate differences in the types of errors in mathematical concept construction based on students’ levels of mathematics anxiety
Profil Penyelesaian Soal Fungsi Komposisi dan Fungsi Invers Siswa Kelas XI SMA Negeri 1 Pamona Utara Ditinjau dari Kemampuan Matematika Charlie Alva Basompe; Alfisyahra Alfisyahra; Rita Lefrida; Baharuddin Paloloang
Aksioma Vol. 15 No. 1 (2026): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v15i1.4469

Abstract

This study aims to describe the problem-solving process for composition and inverse functions using Polya's stages, based on the mathematical abilities of students at SMA Negeri 1 Pamona Utara. The results show differences in problem-solving approaches according to students' mathematical proficiency. (1) Students with high mathematical ability can accurately identify given and required information, assess the sufficiency of the available data, and understand the relationships between different pieces of information. They can also determine additional necessary information, utilize all essential data, and systematically plan their problem-solving process. Moreover, they are skilled in answering accurately and verifying their solutions by identifying errors. (2) Students with moderate mathematical ability exhibit similar skills in understanding problems and planning solutions. However, in inverse function problems, they struggle to apply systematic steps and are less precise in their answers. (3) Students with low mathematical ability can identify given information and its connections but are unable to develop an effective problem-solving strategy. They still face difficulties in structuring systematic steps to arrive at the correct solution.
Profil Berpikir Kritis Siswa Kelas VIII Cemara SMP Negeri 2 Banawa dalam Menyelesaikan Soal Teorema Pythagoras Berdasarkan Jenis Kelamin Andini Putri; Ibnu Hadjar; Fajriani Fajriani; Rita Lefrida
Jurnal Elektronik Pendidikan Matematika Tadulako Vol. 13 No. 3 (2026): Jurnal Elektronik Pendidikan Matematika Tadulako (JEPMT)
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/jepmt.v13i3.5014

Abstract

Penelitian deskriptif kualitatif ini bertujuan mengeksplorasi profil berpikir kritis siswa laki-laki (TL) dan perempuan (TP) berkemampuan matematika tinggi di SMP Negeri 2 Banawa dalam menyelesaikan masalah Teorema Pythagoras. Subjek penelitian dipilih berdasarkan hasil ujian semester gasal. Data dikumpulkan melalui tes tertulis dan wawancara semistruktur menggunakan instrumen yang telah divalidasi pakar. Hasil penelitian menunjukkan bahwa kedua subjek memenuhi enam indikator berpikir kritis menurut Ennis: Focus, Reason, Inference, Situation, Clarity, dan Overview. Pada indikator Focus, keduanya mampu mengidentifikasi informasi relevan secara logis. Untuk Reason, TL memberikan penalaran praktis, sementara TP lebih detail dan konseptual. Pada Inference, keduanya mampu menarik simpulan, meski TP lebih eksplisit. Dalam indikator Situation, TL menerapkan konsep secara langsung, sedangkan TP menunjukkan aplikasi yang lebih luas. Terkait Clarity, penjelasan TP lebih terstruktur dibandingkan TL yang ringkas namun logis. Pada Overview, TP melakukan tinjauan aktif dengan representasi visual, sementara TL memverifikasi melalui perhitungan langsung. Meskipun memiliki tingkat kemampuan matematika yang sama, ditemukan perbedaan proses berpikir kritis pada keduanya. Perbedaan tersebut terlihat pada strategi penyelesaian masalah, cara mengungkapkan penalaran, serta kejelasan tahapan solusi yang dihasilkan.
Profile of Junior High School Students' Mathematical Abstraction in Forming the Concept of Triangles Febrina Hajiroh; Rita Lefrida; Muh Rizal; Mubarik Mubarik
JURNAL PENDIDIKAN MATEMATIKA Vol. 10, No. 2: November 2026
Publisher : Universitas Islam Sultan Agung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30659/kontinu.10.2.296-314

Abstract

This study aims to describe the profile of junior high school students' mathematical abstraction in forming the concept of triangles in terms of high, medium, and low levels of mathematical ability, based on the stages of RBC+C, namely recognizing, building-with, constructing, and consolidation. This study uses a descriptive qualitative approach with three seventh-grade students as subjects, one student each with high, medium, and low mathematical ability, selected based on the results of a mathematical ability test. Data were collected through triangle abstraction assignments and interviews, then analyzed using the Miles and Huberman model which includes data condensation, data presentation, and drawing and verifying conclusions. The results showed that students with high mathematical ability were able to pass all stages of RBC+C optimally, students with medium ability were able to reach all stages but not optimally, while students with low ability experienced limitations in almost all stages of mathematical abstraction, especially in the aspects of building-with, constructing, and consolidation. Thus, the level of students' mathematical ability significantly influences the quality of the mathematical abstraction process in forming the concept of triangles.
A Developmental Study of Junior High School Mathematics Instructional Media Guided from Humanity-Value of Learning Model (MPNK) to Prevent Juvenile Delinquency I Nyoman Murdiana; Rita Lefrida
JPP (Jurnal Pendidikan dan Pembelajaran) Vol. 24 No. 1 (2017)
Publisher : Lembaga Pengembangan Pendidikan dan Pembelajaran, Universitas Negeri Malang in Collaboration with Asosiasi Pendidik dan Pengembang Pendidikan Indonesia (APPI)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

The Research and Development study aimed to develop a instructional media for math lesson using valid, practical, and effective humanity-value teaching model to prevent juvenile delinquency. To achieve the objective, the prototypical study was conducted using 3 phase development, namely (1) early assessment phase or front-end analysis, (2) the development phase consisting of expert validation and tryout I, and (3) the evaluation phase through tryout II using a quasi experiment design with anacova data analysis. The result from the first year development (2015) was the instructional media for junior high school using a valid humanity-value teaching model to prevent various kinds of juvenile delinquency. The products developed from the current research were in the form of lesson plan, teacher’s book, student book, and student worksheets. The products were in the form of draft of the instructional set which was valid.
MISKONSEPSI SISWA KELAS VII SMPK BALA KESELAMATAN PALU PADA MATERI PERTIDAKSAMAAN LINEAR SATU VARIABEL Walfrandi Yusame; Pathuddin Pathuddin; Rita Lefrida; Alfisyahra Alfisyahra
Pedagogy: Jurnal Pendidikan Matematika Vol. 11 No. 2 (2026): Pedagogy : Jurnal Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/44kd5e97

Abstract

Penelitian ini dilatarbelakangi oleh perlunya upaya yang tepat agar miskonsepsi yang dialami oleh siswa tidak terus berlangsung. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif yang bertujuan untuk mendeskripsikan miskonsepsi siswa kelas VII SMPK Kristen Bala Keselamatan Palu. Subjek dalam penelitian ini yaitu 2 siswa kelas VII SMPK Kristen Bala Keselamatan Palu yang mengalami miskonsepsi. Data dikumpulkan melalui tugas tertulis dengan CRI, wawancara, dan member check.  Teknik analisis data menggunakan model Miles dan Huberman, yaitu reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian ini  menunjukkan bahwa siswa masih mengalami miskonsepsi dalam menyelesaikan soal pertidaksamaan, meliputi kesalahan memaknai identitas tanda pada suku aljabar, menggunakan istilah pindah ruas, menganggap konsep persamaan dan pertidaksamaan identik, dan melakukan prosedural pemecahan masalah dengan aturan sendiri. Adapun penyebab miskonsepsi yang dialami berasal dari diri sendiri yaitu, prakonsep/konsep awal siswa, pemikiran asosiatif siswa, reasoning yang salah, pemikiran humanistik, dan intuisi yang salah.
Number Sense and Self-Efficacy Beliefs in Problem Solving Among Integrated Islamic Elementary School Students Rochaminah, Sutji; Rohmah, Zakiah; Lefrida, Rita; Badjeber, Rafiq; Nursupiamin, Nursupiamin
Al-Jabar: Jurnal Pendidikan Matematika Vol 17 No 3 (2026): Al-Jabar : Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v17i3.31881

Abstract

Purpose: This study examined the relationship between whole-number sense and mathematics self-efficacy among Grade IV students in an Integrated Islamic Elementary School (Sekolah Dasar Islam Terpadu, SDIT). It addressed the limited evidence regarding whether students' confidence in mathematics is associated with their foundational numerical competence. Method: A quantitative correlational design was employed involving 126 Grade IV students selected through total sampling. Whole-number sense was measured using a researcher-developed test, while mathematics self-efficacy was assessed through a validated questionnaire. Data were analyzed using descriptive statistics and Spearman's rank-order correlation. Findings: The analysis revealed no statistically significant relationship between whole-number sense and mathematics self-efficacy. These findings indicate that students' confidence in solving mathematical problems was not directly associated with their conceptual understanding of whole numbers in the present sample. Significance: This study extends previous research by examining mathematics self-efficacy in relation to whole-number sense rather than general mathematics achievement. The findings contribute to a more nuanced understanding of the relationship between cognitive and affective dimensions of mathematics learning and suggest that conceptual numerical competence and mathematics self-efficacy should be fostered through complementary instructional approaches in elementary education.
Co-Authors Abd. Hamid ABDUL HAMID Abdul Hamid Agung Lukito AGUNG LUKITO Ain, Nur' Alfisyahra Alfisyahra Alfisyahra . Alfisyahra Alfisyahra Alfisyahra Alfisyahra Alfisyahra, Alfisyahra Alfisyhara, Alfisyhara Almahdali , Muh Ikbal Amelia, Kadek Devy Amelia, Reski Amelia, Risna Ana Puji Lestari Ana Puji Lestari Andini Putri Anggraini Anggraini Anggraini Anggraini Arivi, Maharani Agustina Arnisah, Sitti Arsyil Waritsman Aswandi Aswandi Asyita Asyita Auliyah, Rifqah Awaludin Awaludin, Awaludin Ayu Qonita Baharuddin Paloloang Baharuddin Paloloang Bakri Bakri Bakri Bakri M Bakri M Bakri M Bakri Mallo Bakri Mallo Baso Amri Baso Amri Besse Nur Anisa Charlie Alva Basompe Dahlan, Rahmawati Dahlia Dahlia Dasa Ismaimuza Desak Ketut Permatasari Desti Pujiarsih Dita Mustapa Dsiya Auralia Askanita Dwi Warli Dyah Permata Elis Safira Karindah Elsa Febriasari Evie Awuy Fahrur Razi Faisal Faisal Fajriani Fajriani Fajriani Fajriani Fani, Sri Fazlika, Jihan Febriasari, Elsa Febrina Hajiroh Fitriyanti, Winda Gandung Sugita Gandung Sugita Guci, Ammar Abdullah Joni Haerani, Novianti Hajerina Hajerina Hamsiana, Hamsiana Hasbi, Muh Hermin, Arwini Puspita Hikber Todongi Husna, Radhiatul I Luh Restini I Made Sudarsana I Nyoman Murdiana I Nyoman Murdiana Ibni Hadjar Ika Citra Pratiwi Indradewa, Rhian Indri Yani Indriana Indriana, Indriana Ira Firanda Gumita Islam, Fahrul Jaeng, Maxinus Jihan Fazlika Julian, Rofi S Kamaruddin, Kamarudin Kamarudin Kamarudin Kanarasi, Yabes Maxrobin Karniman, Tegoeh S Karniman, Tegoeh S. Khasanah, Tri Nur Lainawa, Mohamad Ruslan Lembang, Ulvina Tangke M, Bakri Ma'abud, Yusril Y Mahdayani Mahdayani, Mahdayani Mansur, Meliani Marinus B. Tandiayuk Marinus B. Tandiayuk Marnita Martavina Yustita Pala Martina Martina Maxinus Jaeng Maxinus Jaeng Mery Napitupulu Miranda, Dini Mirnawati Muin Moh. Dhuhri Surya Wirawan Mubarik Mubarik Mubarik Mubarik Mubarik MUFIDAH Mufidah Mufidah Muh Hasbi Muh. Hasbi Muh. Hasbi Muh. Hasbi Muh. Rizal Muh. Rizal Muh. Rizal Muhammad Fitrah Muhammad Fitrah, Muhammad Muin, Mirnawati Musdalifa Mustamin Idris Mustamin Idris MUSTAMIN IDRIS Mustamin Idris Mutia Nurul Ilmi Nasir, Rahma Ningsih, Firnawati Adia Nisa, Ainun Nita Nita Nita Nita nur hayati Nur Islamiah, Nur Nur Islamiyah Nur’aini, Jafar Nurhalizah Nurhalizah Nurhalizah, Nurhalizah Nurhayadi Nurhayadi Nurhayadi Nurhikma, Nurhikma Nursupiamin Nursupiamin, Nursupiamin NURUL AZIZAH Nurviani Alamanda Nur’aini Jafar Padang, Sery Londong Pathuddin Pathuddin . Pathuddin, Pathuddi Pau, Rizki Amalia Sy Pujiarsih, Desti Purwanindina, Atila Maheswari Dewi Putri, Istifanah Maharani Rafiq Badjeber Rahmadiani Rahmadiani Rahmawati Dahlan Ratna Ratna Dwi Oktavia Razi, Muhammad Fahrur Reski Amelia Rezky Hari Sentosa Riri Andini Rizal, Muh Rochmat Wijaya Rofi Julian S Rohmah, Zakiah Rolanza . Rumba, Kevin Angryawan Rydwan Balo Sabila B, Dini Nurul Sari, Septi Rahmita Sasongko, Luddy Bambang Selmi Selmi, Selmi Sentosa, Rezky Hari Sinta, Selviana Siti Hardiyanti Siti Hardiyanti Siti Rahmatia Badari Sitti Nurhaliza Sudarman Bennu Sudarsono Sudarsono . Sukayasa Sutji Rochaminah Syamsiar, Syamsiar Tajuddin Tajudin Tajudin Tatag Yuli Eko Siswono Tatag Yuli Eko Siswono Tegoeh S. Karniman Tina Ulvina Tangke Lembang Uraefatul Jannah Walanda, Richard Albert Walfrandi Yusame Warli, Dwi Welli Meinarni Widi Yanti Wijaya, Rochmat Winda Fitriyanti Wirdania, Wirdania Wisilayasa, I Gede Darma Yunita, Rezki Lola Yustitia K. Zaenudin Zulkfiri S.Pou