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All Journal Pendidikan Geografi (Berkala) Journal of Education and Learning (EduLearn) Journal on Mathematics Education (JME) AKSIOMA: Jurnal Program Studi Pendidikan Matematika GEA, Jurnal Pendidikan Geografi Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktik dalam Bidang Pendidikan dan Ilmu Geografi JRPM (Jurnal Review Pembelajaran Matematika) Premiere Educandum: Jurnal Pendidikan Dasar dan Pembelajaran Martabe : Jurnal Pengabdian Kepada Masyarakat Jurnal Cendekia : Jurnal Pendidikan Matematika GEOGRAPHY : Jurnal Kajian, Penelitian dan Pengembangan Pendidikan Research in Social Sciences and Technology MATHEMATIC EDUCATION AND APLICATION JOURNAL (META) Jurnal Integrasi dan Harmoni Inovatif Ilmu-ilmu Sosial
Purwanto Purwanto
Universitas Negeri Malang
Agriculture, Biological Sciences & Forestry Arts Humanities Earth & Planetary Sciences Education Environmental Science Library & Information Science Mathematics Social Sciences Other

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HOW STUDENTS SOLVE PIZZA PROBLEMS: AN EXPLORATION OF STUDENTS' MATHEMATICAL LITERACY Nego Linuhung; Purwanto Purwanto; Sukoriyanto Sukoriyanto; Sudirman Sudirman
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 12, No 4 (2023)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v12i4.8997

Abstract

The pizza problem was chosen because the question consistently appears in every activity conducted by the Program for International Student Assessment (PISA) to measure mathematical literacy. However, Indonesian students have not yet successfully solved the pizza problem correctly. The purpose of this study is to describe the mathematical literacy of students in solving pizza problems that have been adapted in the process component and differences. This study focuses on students' answers in solving pizza problems with different information in each question. Data collection was carried out using tests and interviews. The research method employed is qualitative with a descriptive approach. The research subjects were ninth-grade junior high school students. Data collection was carried out to identify students' mathematical literacy on pizza problems by analyzing the results of tests and interviews. The results showed that: 1. students had difficulty in solving pizza problems, formulating mathematical problems, performing calculations using the concept of specific formula rules, and interpreting from a precise process correctly; 2. there are differences in students' answers in solving three types of pizza problems. Students did not solve pizza problems correctly through the correct calculation and interpretation, but on type 2 questions, students performed better than the students working on the other two problems. Students can easily understand the question with more detailed explanations. Therefore, in adapting a question from a foreign language, a careful, thorough, and accurate interpretation is required.Masalah pizza dipilih karena pertanyaan tersebut selalu muncul dalam setiap kegiatan yang dijalankan oleh Program for International Student Assessment (PISA) untuk mengukur literasi matematis. Namun demikian, siswa Indonesia belum berhasil menyelesaikan masalah pizza dengan benar. Tujuan penelitian ini adalah mendeskripsikan literasi matematika siswa dalam menyelesaikan soal pizza yang telah diadaptasi pada komponen proses dan perbedaan jawaban siswa dalam menyelesaikan soal pizza yang telah diadaptasi dengan memberikan informasi yang berbeda pada setiap soal. Metode penelitian yang digunakan adalah kualitatif dengan pendekatan deskriptif. Subjek penelitian adalah siswa kelas 9 Sekolah Menengah Pertama. Pengumpulan data dilakukan untuk mengidentifikasi literasi matematis siswa pada soal pizza dengan menganalisis hasil tes dan wawancara. Hasil penelitian menunjukkan bahwa: 1. siswa kesulitan dalam menyelesaikan masalah pizza, siswa kesulitan dalam merumuskan masalah secara matematis, siswa belum mampu melakukan perhitungan menggunakan konsep aturan rumus tertentu; serta siswa belum mampu menafsirkan dari suatu proses matematis dengan benar; 2. terdapat perbedaan jawaban siswa dalam menyelesaikan 3 tipe soal masalah pizza yang diadaptasi, pada soal tipe 2 siswa menunjukkan kinerja lebih baik dibandingkan siswa yang mengerjakan dua soal lainnya. Oleh karena itu dalam mengadaptasi soal berbahasa asing maka harus mengartikannya dengan hati-hati, teliti dan cermat.
DIGITALISASI DOKUMEN PERTANAHAN DESA BERBASIS WEBGIS DI DESA SUKOREJO KECAMATAN GONDANGLEGI KABUPATEN MALANG Alfi Sahrina; Purwanto Purwanto; Fatiya Rosyida; Devy Prasetyono; Ivan Sulistio; Ciptaningrat Erdi Pamungkas
Martabe : Jurnal Pengabdian Kepada Masyarakat Vol 6, No 12 (2023): Martabe : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Muhammadiyah Tapanuli Selatan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31604/jpm.v6i12.4299-4306

Abstract

Abstrak Desa Sukorejo merupakan desa yang berada di Kecamatan Gondanglegi. Desa ini memiliki lanskap yang datar. Desa memiliki dokumen berupa dokumen tanah salah satunya yang berbentuk 2 dimensi. Tentunya dokumen tersebut dapat di digitalkan dengan berbagai cara salah satunya dengan menggunakan bantuan perangkat lunak. Tujuan dari pengabdian ini yaitu untuk melakukan pendigitalan dokumen tanah Desa Sukorejo Kecamatan Gedangan. Metode yang dilakukan dalam kegiatan ini dengan melihat dokumen tanah yang ada di desa, selanjutnya di digitalisasi, dan di jadikan bentuk Webgis. Hasil yang di dapatkan yaitu dokumen yang ada di Desa Sukorejo memiliki 14 area blok persil tanah di Desa Sukorejo yang terbagi dalam 25 lembar peta dengan skala 1:1000. Peta persil tanah yang ada di Desa Sukorejo berbentuk analog/cetak dengan ukuran kertas A3. Sedangkan Kegiatan pemetaan batas administrasi dilakukan dengan teknik digitation on screen untuk menentukan batas berdasarkan citra foto udara. Selanjutnya area blok tersebut dilakukan pendigitalan dengan menggunakan ArcGis. Hasil yang didaptkan berupa vector yang nantinya dihubungkan untuk membuat peta digital tanah berbasis WebGis. Sistem Informasi ini disusun untuk membantu pelayanan administrasi pertanahan di desa agar lebih mudah, cepat dan efisien. Memiliki fitur pencarian bidang tanah berdasarkan nomor objek pajak. Menunjukan lokasi spasial, letak blok tanah sesuai SPPT PBB, dan letak blok tanah sesuai letter C sehingga mempermudah pelayanan administrasi permohonan kutipan letter C.
ANALOGICAL REASONING PROCESS OF PROSPECTIVE TEACHERS TO PRODUCE NON-ANALOG PROBLEMS Mohammad Faizal Amir; Purwanto Purwanto; Sudirman Sudirman; Swasono Rahardjo
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 13, No 1 (2024)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24127/ajpm.v13i1.9112

Abstract

Prospective teachers often have difficulty in posing problems. This indicates unsuccessful analogical reasoning, so prospective teachers produce non-analog problems. Therefore, a study is needed to trace the process of unsuccessful analogical reasoning of prospective teachers so that they can produce non-analog problems. The research aims to describe the analogical reasoning process of prospective teachers that causes prospective teachers to produce non-analog problems. The research method used a case study with a qualitative approach. The participating research subjects were prospective teachers from one of the universities in Sidoarjo, East Java, Indonesia. The research subjects are prospective teachers who are asked to generate analog problems but produce non-analog problems. The research instruments included analog problem posing tasks and interviews. The analogical reasoning process of prospective teachers can be traced through process components or activities in terms of retrieval, structuring, representation, mapping, application, and verification. Prospective teachers generate non-analog problems, starting with inappropriate activities in object retrieval and source problem solving. The structuring and representation of analog source objects were not successfully done by prospective teachers, resulting in non-analog problems. This impacted the next activities, namely mapping, application, and verification which were unsuccessful in producing solutions to analog target problems.Calon guru seringkali mengalami kesulitan dalam mengajukan masalah. Hal ini menunjukkan penalaran analogi yang tidak berhasil, sehingga calon guru menghasilkan masalah non-analog. Oleh karena itu, dibutuhkan suatu penelitian untuk menelusuri proses ketidakberhasilan penalaran analogi calon guru sehingga dapat menghasilkan masalah non-analog. Tujuan peneltian adalah untuk mendeskripsikan proses penalaran analogi calon guru yang menjadi sebab calon guru menghasilkan masalah non-analog. Metode penelitian menggunakan studi kasus dengan pendekatan kualitatif. Subjek penelitian yang berpartisipasi merupakan calon guru dari salah satu Perguruan Tinggi di Sidoarjo, Jawa Timur, Indonesia. Dalam hal ini, subjek penelitian adalah calon guru yang diminta untuk menghasilkan masalah analog namun menghasilkan masalah non-analog. Instrumen penelitian meliputi tugas pengajuan masalah analog dan wawancara. Proses penalaran analogi calon guru dapat ditelusuri melalui komponen proses atau aktivitas dalam hal pemanggilan, penataan, representasi, pemetaan, penerapan, dan pemeriksaan. Calon guru menghasilkan masalah non-analog diawali dengan aktivitas tidak tepat pada pemanggilan objek-objek dan penyelesaian masalah sumber. Penataan dan representasi objek-objek sumber yang analog tidak berhasil dilakukan calon guru, sehingga menghasilkan masalah non-analog. Hal ini berdampak pada aktivitas berikutnya, yaitu pemetaan, penerapan, dan pemeriksaan yang tidak berhasil untuk menghasilkan solusi dari masalah target yang bersifat analog.  
Students' degenerative thinking disposition on non-relational aspects in solving quadrilateral problems Rahma Wahyu; Purwanto Purwanto; I Nengah Parta; Rustanto Rahardi
Premiere Educandum : Jurnal Pendidikan Dasar dan Pembelajaran Vol. 13 No. 1 (2023)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/pe.v13i1.19126

Abstract

The urgency of this research is to see the tendency for non-generative thinking in students to solve rectangular problems, which defined as a degenerative thinking disposition. A degenerative thinking disposition is a person's tendency to take action that ignores information excessively without considering analytical and genetic characteristics in generalizing a problem. The results of the preliminary study show that there are indications of non-generative thinking when students solve problems regarding the perimeter of a rectangle. Many students point out the incompleteness of the solution to the problem of the perimeter of a quadrilateral and tend to be hasty in assuming that the quadrilateral in question is a rectangle. This included in the symptoms that do not give rise to relational aspects. This type of research is qualitative with an exploratory, descriptive approach to three subjects. The data analysis technique uses thematic analysis steps. The results of the study show that students who experience degenerative thinking dispositions from non-relationship aspects ignore information excessively. Students with non-relationship aspects tend to experience excessive information neglect when relating information to definitions and analytical and genetic properties. Students overgeneralize the problem of rectangular properties without considering the existence of other esufficient elements. The concepts used in concluding problem solutions are based on still partial concepts. So the generalizations that are used as the basis for solving other problems end up being wrong.
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

Abstract

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
PRE-SERVICE TEACHERS’ SYMBOLIC-VISUAL REPRESENTATION SKILLS IN ADDING AND SUBTRACTING FRACTIONS Arwan Mhd. Said; Purwanto Purwanto; Erry Hidayanto; Rustanto Rahardi
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.v13i3.10233

Abstract

The current study attempted to describe pre-service teachers’ symbolic-visual representation skills in adding and subtracting fractions. It specifically aimed to analyze the teachers’ ability to construct either a symbolic or visual representation in fraction operations. A case study was conducted by involving 17 fifth-semester students who were enrolled in a teacher training course at one of universities in Ternate, Indonesia. The participants consisted of two males and fifteen females. The study data were gathered using a fraction problem-solving test. The results showed that: 1) the majority of participants succeeded in performing fraction operations and making representations by adding and subtracting fractions; 2) the participants demonstrated proficiency in executing fraction operations but showed poor ability in generating different representations of fractions; 3) the participants were more successful in creating visual representation for fraction addition compared to fraction subtraction. The participants also excelled in constructing circle models as visual representations, outperforming other visual representation models such as number lines, rectangular models for transition situations, and numerical representations of mixed fractions.
Co-Authors Abdur Rahman As’ari Agus Dwi Febrianto Agustiani Putri Akbar Sutawidjadja Ariyadi Wijaya Arwan Mhd. Said Ayu Putri Wahyuni Bigharta Bekti Susetyo Budi Handoyo Budijanto Ceres Antika Putri Cholis Sa’dijah Ciptaningrat Erdi Pamungkas Devy Prasetyono Dian Kurniati Didih Krisnamurti Didik Taryana Dwi Susanti Dwiyana Dwiyana Edy Bambang Irawan Erry Hidayanto Fatiya Rosyida, Fatiya Feny Panjerina Ghada Abd Elsattar Mohammed Oraby I Komang Astina I Made Sulandra I Nengah Parta Ika Santia Ike Sari Astuti Ivan Sulistio Krisma Sari Listyo Yudha Irawan Maimunah, Maimunah Marhadi Slamet Kistiyanto Maria Yovita Evinsia Maylinda Maghfiroh Mira Ayu Pratiwi Mohammad Faizal Amir Muchammad Ryan Pratama Muhammad Abdul Hakam Fasya Muhammad Afkaar Aafaani Muhammad Ayub Djoda Muhammad Ikmal Muhammad Sauki Al Farisy Mujiyem Sapti Musnizar Zulaiha Umami Nego Linuhung Novy Aulia Istighfary Rahma Wahyu Raka Erditama Nurahman Rizky Fitra Sanjaya Robby Hilmi Rachmadian Rosimanidar Rosimanidar Rudi Hartono Rustanto Rahardi Sahrina, Alfi Sharifah Osman Singgih Susilo Sisworo Sitti Fithriani Saleh Soelistijo, Djoko Subanji Subanji Sukoriyanto Sulis Setyowati Susiswo Swasono Rahardjo Syamsuri Syamsuri Tasya Khairunisa Waldati Bariroh Wisang Elang Fajar Nisnala Yuni Kartika Sita Dewi Yusuf Suharto Zahrina Fatmala