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I Made Sulandra

Universitas Negeri Malang

Author-ID : 2388322

Agriculture, Biological Sciences & Forestry Arts Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Immunology & microbiology Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Existence of Clean Elements in A Matrix Ring Over ℤ Ambarsari, Ida Fitriana; Sulandra, I Made; Irawati, Santi
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2019: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (640.698 KB)

A ring with unity is called clean, if every element is clean i.e. for every element there exist an idempotent element and a unit element such that . The set of matrices ( ) {[ ]| } is a ring with respect to the usual addition and multiplication operation of matrices. The ring ( ) is not clean for some integral domain , but the ring has eight forms of clean elements. Those clean elements are constructed by adding an idempotent element and a unit element. Since the ring ℤ of all integers is an integral domain, so the subring (ℤ) ( ) is not clean. In his paper, we discuss the existence of clean elements in (ℤ) based on the forms of clean elements in ( ) and proved the sufficiency and necessary condition of clean elements in (ℤ).

STRUKTUR ARGUMENTASI PENALARAN KOVARIASIONAL SISWA KELAS VIIIB MTsN 1 KEDIRI Umah, Ulumul; Asari, Abdur Rahman; Sulandra, I Made
JMPM: Jurnal Matematika dan Pendidikan Matematika Vol 1 No 1: Maret
Publisher : Prodi Pendidikan Matematika Universitas Pesantren Tinggi Darul Ulum Jombang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26594/jmpm.v1i1.498

Argumen matematis siswa tingkat dasar hingga sekolah menengah sering sulit dikaitkan dengan pembuktian matematis formal. Model Argumen Toulmin menawarkan suatu pendekatan untuk menganalisis argumen yang sangat berbeda dengan pendekatan logika formal. Studi ini bertujuan untuk mendeskripsikan struktur argumentasi siswa kelas VIIIB MTsN 1 Kediri ketika menyelesaikan masalah kovariasi berdasarkan teori argumentasi Toulmin. Hasil penelitian ini mengungkapkan bahwa subjek belum memiliki struktur argumen yang lengkap. Secara umum subjek membangun argumen secara induktif. Peran “backing” menjadi esensial ketika argumen subjek didukung oleh contoh-contoh kasus yang mengantarkan pada suatu kesimpulan, sementara “qualifier” dan “rebuttal” tidak muncul pada struktur argumen mereka.

Student Argumentation Structure in Solving Statistical Problems Based on Adversity Quotient Aaidati, Iffanna Fitrotul; Subanji; Sulandra, I Made; Permadi, Hendro
Mathematics Education Journal Vol. 16 No. 2 (2022): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Evaluation of the argumentation structure is needed to check the quality of student argumentation to produce appropriate problem-solving. Such evaluation can be carried out by identifying the constituent components of the argument. This study aims to describe the structure of student argumentation in solving statistical problems based on the Adversity Quotient (AQ). This qualitative descriptive type of research involved 52 students who were taking statistical methods courses. Participants were classified into three Categories of Adversity Quotient based on the results of the ARP (Adversity Response Profile) questionnaire. Data were obtained using statistical problem tests and interviews. The results showed that students with the AQ Climber category were able to meet all the constituent components of argumentation when solving statistical problems. AQ Camper-type students are only able to meet three components, namely claims, evidence, and reasoning. Meanwhile, students with the AQ Quitter type are only able to fulfill one component, namely claims. Based on the results of the study, the level of Adversity Quotient determines the quality of the student's argumentation structure when solving statistical problems.DOI: https://doi.org/10.22342/jpm.16.2.16633.121-140

DISSECTING STUDENT MISCONSTRUCTION IN TRANSFORMATIONAL ACTIVITIES SOLVES PROBLEMS THAT ALLOW COGNITIVE CONFLICT TO OCCUR Rosimanidar Rosimanidar; Purwanto Purwanto; Erry Hidayanto; I Made Sulandra
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 3 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i3.9457

The transformative activity was crucial for problem-solving. In resolving problems, cognitive conflicts could arise, characterized by construction errors marked by deviations or differences from scientific concepts. Eight of the 106 students who experienced cognitive conflicts made construction errors in transformative activities. These errors were categorized into four groups. This research aimed to describe students' construction errors in transformative activities when solving problems that might lead to cognitive conflicts. The research design was phenomenological, with four subjects selected and one student from each group. Student responses and interview results served as research data, analyzed through narrative text analysis. The research findings revealed four forms of construction errors in students during transformative activities in problem-solving that might lead to cognitive conflicts: (1) pseudo construction "correct," occurring when students provide a correct answer to a problem, but upon closer examination, it was found that the clarification of the answer was incorrect; (2) pseudo construction "incorrect," happening when students gave an incorrect answer to a problem, but upon closer examination, the students had a correct thought process and could provide the right answer; (3) hole construction errors, occurring when there were inconsistencies in the construction process of concepts in students' minds; and (4) mis-analogical construction errors, occurring when students made errors in analogizing a problem with representations of other concepts. These four construction errors occurred in transformative activities based on incomplete rule-based systems. Examining these construction errors allowed instructors to improve students' transformative thinking activities according to linear equations with one variable.Aktivitas transformasional sangat penting dalam menyelesaikan masalah. Dalam penyelesaian masalah kemungkinan terjadi konflik kognitif, yaitu kesalahan konstruksi yang ditandai ada penyimpangan atau perbedaan dengan konsep ilmiah. Mahasiswa mengalami konflik kognitif sebanyak 106 orang dan 8 mahasiswanya telah melakukan kesalahan konstruksi dalam aktivitas transformasional. Penelitian ini bertujuan untuk mendeskripsikan kesalahan konstruksi mahasiswa dalam aktivitas transformasional menyelesaikan masalah yang memungkinkan terjadi konflik kognitif. Jenis penelitian ini adalah fenomenologi dengan dipilih 4 subjek penelitian yang masing-masing 1 mahasiswa dari setiap kelompok tersebut. Jawaban mahasiswa dan hasil wawancara digunakan sebagai data penelitian. Data penelitian dianalisis melalui analisis teks naratif. Temuan penelitian diperoleh bahwa ada empat bentuk kesalahan konstruksi mahasiswa yang dibedah dalam aktivitas transformasional menyelesaikan masalah yang memungkinkan terjadi konflik kognitif, yaitu (1) pseudo construction “benar” yang terjadi saat mahasiswa memberikan jawaban benar terhadap suatu permasalahan, namun ketika ditelusuri, ternyata mahasiswa salah dalam memberikan klarifikasi jawaban; (2) Kesalahan pseudo construction “salah” yang terjadi saat mahasiswa memberikan jawaban salah terhadap suatu permasalahan, namun ketika ditelusuri mahasiswa mempunyai cara berpikir yang benar dan dapat memberikan jawaban yang benar; (3)Kesalahan lubang konstruksi (hole construction) yang terjadi saat proses konstruksi konsep dalam pikiran mahasiswa ada yang tidak sesuai; dan (4) kesalahan mis-analogical construction yang terjadi saat mahasiswa membuat kesalahan dalam menganalogikan masalah dengan representasi konsep lain. Keempat kesalahan konstruksi tersebut terjadi pada aktivitas transformasional berbasis aturan tidak lengkap (incomplete rule-based). Penelaahan kesalahan konstruksi ini dijadikan dasar bagi dosen untuk memperbaiki aktivitas berpikir transformasional mahasiswa sesuai konsep persamaan linier satu variabel

Mathematical Representation of MTs Students in HOTS-based Mathematical Problem Solving Damayanti, Hanifah; Susiswo, Susiswo; Sulandra, I Made
PRISMA Vol 14, No 1 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i1.4495

This research is a descriptive qualitative research that aims to describe students’ mathematical representations in solving HOTS-based mathematical problems. This research was conducted at MTs Putri Al-Huda, Malang City. The subjects of this study were 2 grade VIII students selected based on high and medium abilities. Written tests and interview guidelines were the instruments in this study. The data analysis technique in this study used the Miles and Huberman method, namely data reduction, data presentation, and conclusion. The research results show that high-ability subjects produced verbal mathematical representations at the stage of understanding the problem and checking again, generate symbolic representations at the planning stages, implementing the plan, and checking again. Meanwhile, subjects with medium abilities produced verbal representations at the stage of understanding the problem, symbolic representations at the stage of making and implementing plans. Subjects with medium abilities did not produce any representations at the stage of checking again.

Students' Thinking in Solving Integer Problems Based on APOS Theory in View of Gender Putri, Nanda Azzahra; Subanji, Subanji; Sulandra, I Made
PRISMA Vol 14, No 1 (2025): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35194/jp.v14i1.4459

This research aims to describe the thinking of male and female students in solving whole number problems based on APOS theory. This descriptive qualitative research was conducted with two subjects, namely one subject with male gender and one subject with female gender. Both subjects are students with high mathematics ability. Subject selection was carried out using purposive sampling. Subjects were selected based on the scores obtained on the math problem test sheet. This research was conducted at one of the State Junior High Schools in Malang Regency. The instruments used in this study were math problem test sheets on integers and interviews. The results showed that: 1) Male students are able to fulfill all thinking indicators in each APOS mental structure in solving problems. Male students solve math problems through mental structures of action, process, object, and scheme; 2) Female students are able to fulfill all thinking indicators on each APOS mental structure in solving problems. Female students solve math problems through action, process, object and scheme mental structures.

BIMBINGAN INTENSIF/ PENGUATAN MATERI OSNP MATA PELAJARAN MATEMATIKA SISWA MAN 2 TULUNGAGUNG Solikhin, Mukhammad; Rahmadani, Desi; Sulandra, I Made; Chandra, Tjang Daniel
PEDAMAS (PENGABDIAN KEPADA MASYARAKAT) Vol. 3 No. 03 (2025): MEI 2025
Publisher : MEDIA INOVASI PENDIDIKAN DAN PUBLIKASI

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Sejak tahun 2002 Pemerintah menyelenggarakan Olimpiade Sains Nasional (OSN) untuk jenjang SMA. Sedangkan OSN untuk jenjang SD dan SMP diadakan sejak 2003. Matematika merupakan salah satu mata pelajaran yang dilombakan. Berdasarkan panduan OSN (2018), OSN Matematika SMP bertujuan mengukur secara langsung tiga aspek pemecahan masalah, penalaran, dan komunikasi tertulis. Oleh karena itu persiapan calon peserta OSN semestinya berorientasi kepada peningkatan kemampuan dalam ketiga aspek tersebut. Melalui kegiatan OSN Matematika ini diharapkan terpilih siswa-siswa terbaik yang menguasai Matematika sebagai embrio untuk dipersiapkan menjadi calon peserta olimpiade tingkat internasional (International Mathematics Olympiad). Mekanisme pelaksanaan lomba dibagi dalam beberapa tahap yaitu seleksi tingkat kota, tingkat propinsi dan tingkat nasional. Siswa MAN 2 Tulungagung sering lolos olimpiade matematika tingkat kota (OSK) tetapi mereka tidak lolos pada tingkat provinsi. Oleh karena itu pihak MAN 2 Tulungagung mengadakan kerjasama dengan departemen matematika UM untuk memberikan bimbingan intensif materi OSP kepada siswa mereka. Tujuan bimbingan intensif ini untuk memperlengkapi siswa mereka dengan soal-soal OSP. Dengan demikian diharapkan siswa-siswa tersebut bisa lolos OSP tahun 2024

Focuses of students’ creativity in constructing quadratic functions through pattern generalization Risit, Alexander Hendro; Sudirman; I Made Sulandra
Jurnal Elemen Vol 11 No 2 (2025): April
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v11i2.27894

Creativity is the ability of students to generate new ideas based on their initial situation. The focus of creativity in this study is on mathematical objects that capture students' attention when solving creativity test problems and producing creative solutions. This research aimed to identify student creativity's focus in constructing quadratic functions through pattern generalization. This qualitative case study, grounded in Silver's creativity framework, involved two creative 10th-grade students from a high school in Malang City. Data were gathered through tests and interviews and analyzed using data reduction, data presentation, and conclusion techniques. The findings revealed three focuses of student creativity in constructing quadratic functions through pattern generalization: focusing on intact squares or rectangles in considering the pattern generalization, focusing on separate shapes in considering pattern generalization and focusing on intersecting square shapes in considering pattern generalization. This study has not been conducted before, therefore filling a research gap and laying the foundation for a deeper understanding of how visual patterns foster students' creativity and enhance their comprehension of visual and symbolical quadratic functions.

A COMPREHENSIVE TOOL FOR ASSESSING CREATIVE THINKING IN MATHEMATICS EDUCATION Al Ashari, Iqbal Ma’ruf; Anwar, Lathiful; Sulandra, I Made
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 14, No 2 (2025)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v14i2.11199

In education, creativity is viewed as a fundamental behaviour especially when it comes to mathematics where students are motivated to tackle problems in unique ways. The present study sought to design, construct and validate an instrument that would assess creativity in geometry by employing three aspects of creativity as proposed by the aforementioned model- fluency, flexibility and originality. The instrument was administered to 30 junior high school students in Malang Indonesian. In this study, the assessment of internal and external consistent validity and dimensional structure of the instrument using a combination of Cronbach’s Alpha, Exploratory Factor Analysis (EFA), and inter-rater reliability was done. The reliability estimates showed that across the 7-item test, a validation score of Cronbach’s Alpha at 0.857 was achieved. Item-Total Statistics indicated that most items possessed high item-total correlations except item Q3 which possessed low item-total corrected correlation. EFA resulted in the segregation of 2 components which accounted for 81.280% of the variance of the construct and were labeled as fluency/flexibility and originality. This finding is consistent with already existing theories in creativity areas which argue that creative thinking is a multi-faceted phenomenon. This needs elucidation in order to improve the validity of the affected test items especially those aimed at measuring the different dimensions of creativity. The research enriches the existing literature based on creativity in mathematics education considering the primary aim to develop a sound and valid tool for assessing students' creative problem solving abilities in geometry.

Student’s errors in solving set problems for junior high school students based on newman's procedure Sari, Noviana Puspita; Sukoriyanto, Sukoriyanto; Sulandra, I Made
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26550

Errors in solving mathematical problems, especially in the material of sets, are still widely found in junior high schools. This study aims to describe the types of student errors and the factors causing them in solving problems about sets based on the Newman Procedure. The study was conducted on 31 eighth-grade students at one of the state junior high schools in Malang City, with three students (S-1 to S-3) selected as subjects by purposive sampling. The main instrument was the researcher, with supporting instruments in the form of tests and interviews. Data analysis was carried out using the Miles & Huberman model. The results of the study showed that subjects S-1 to S-2 misunderstood the problem (misunderstood what was actually known and asked in the problem incompletely), while S-3 did not. All subjects experienced transformation errors (wrong writing of mathematical models/formulas), process skills (miscalculations/not continuing the procedure), and final answers (wrong conclusions). The main causal factors include lack of reading accuracy, weak conceptual understanding, and errors in calculations and procedures. The implications of this study indicate the need for learning strategies that emphasize conceptual understanding, accuracy, and more systematic procedural solutions.

Co-Authors Aaidati, Iffanna Fitrotul Abadyo Abadyo Abdul Haris Rosyidi Abdur Rahman As’ari Agus Hidayat Agus Prianto Akbar Sutawidjaja Al Ashari, Iqbal Ma’ruf Allifia Nur Chasanah Ambarsari, Ida Fitriana Anam, Ainul Arilaksmi, Ni Putu Gita Arini Rabbi Izzati Barep Yohanes Benyamin Benyamin Benyamin Benyamin, Benyamin Budiarti, Arivia Ayu Cholis Sa’dijah Christiyanto, Dana Yuli Dahliatul Hasanah Damayanti, Hanifah Dana Yuli Christiyanto Dewi Kristika Findia Ning Tyas Dian Putri Wulandari Dimas Femy Sasongko Dodi Sukmayadi Edy Bambang Irawan Endang Trinoviawati Endang Wahyuningrum Erry Hidayanto Fahrun Nisa’ Fanandri Diyaulhaq Farih Nur Hisyam Gatot Muhsetyo Gutomo Wibi Ananggih Hasanah, Firda Dyah Alvin Hery Susanto I Nengah Parta I Nyoman Mudarya Iffanna Fitrotul Aaidati Ikhsan Abdul Ro'uf Imam Fahcruddin Ipung Yuwono Ipung Yuwono, Ipung Irna Natalis Sanit Iva Nurmawanti Izzatul Yazidah I’im Fatimah JULIANGKARY, ELISKA Juliangkary, Eliska Karolin Natalia T Kasanah, Lisanatun Krisdarani, Novanda Labuem, Susana Lathiful Anwar Manopo Manopo Mohammad Ridhoi Mukhammad Solikhin Ni Putu Gita Arilaksmi Nurmawanti, Iva Nurul Ma’rifah Oktoviana, Lucky Tri Permadi, Hendro Puguh Darmawan Purwanto Purwanto Purwanto Purwanto Purwanto Puspitasari, Yesy Putri, Nanda Azzahra Qohar, Abd. Rahadi, Rustanto Rahayu, Fitriya Dwi Rahmadani, Desi Retnowati, Lina Rini Nurhakiki Risit, Alexander Hendro Rosimanidar Rustanto Rahardi Sakinah, Zulfatus Sari, Noviana Puspita Sa’dijah, Cholish Selly Meinda Dwi Cahyaningsih Siti Na’imah Sri Rahayuningsih Subanji Subanji Subanji Suci Yuniati Sudirman Sudirman Sudirman Sukkur , Mohammad Sukoriyanto Sukoryanto Sukoryanto Suparti Suparti Susiswo Syaiful Hadi Syarifudin Syarifudin Tjang Daniel Chandra Toto Nusantara Trianingsih Eni Lestari Ucu Rahayu Umah, Ulumul Wahyuni, Ulfa Indera Wildan Hakim Yesy Puspitasari

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