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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 Jurnal Ilmiah Ilmu Terapan Universitas Jambi
Purwanto Purwanto
Universitas Negeri Malang
Agriculture, Biological Sciences & Forestry Arts Humanities Earth & Planetary Sciences Education Engineering Environmental Science Industrial & Manufacturing Engineering Library & Information Science Mathematics Social Sciences Other

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Students’ Semantic-Proof Production in Proving a Mathematical Proposition Syamsuri Syamsuri; Purwanto Purwanto; Subanji Subanji; Santi Irawati
Journal of Education and Learning (EduLearn) Vol 12, No 3: August 2018
Publisher : Intelektual Pustaka Media Utama

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (546.955 KB) | DOI: 10.11591/edulearn.v12i3.5578

Abstract

Proving a proposition is emphasized in undergraduate mathematics learning. There are three strategies in proving or proof-production, i.e.: procedural-proof, syntactic-proof, and semantic-proof production. Students’ difficulties in proving can occur in constructing a proof. In this article, we focused on students’ thinking when proving using semantic-proof production. This research is qualitative research that conducted on students majored in mathematics education in public university in Banten province, Indonesia. Data was obtained through asking students to solve proving-task using think-aloud and then following by interview based task. Results show that characterization of students’ thinking using semantic-proof production can be classified into three categories, i.e.: (1) false-semantic, (2) proof-semantic for clarification of proposition, (3) proof-semantic for remembering concept. Both category (1) and (2) occurred before students proven formally in Representation System Proof (RSP). Nevertheless, category (3) occurred when students have proven the task in RSP then step out from RSP while proving. Based on the results, some suitable learning activities should be designed to support the construction of these mental categories.
PEMANFAATAN SISTEM INFROMASI GEOGRAFI UNTUK PEMODELAN SPASIAL PENGEMBANGAN WISATA PANTAI DI KABUPATEN TULUNGAGUNG Purwanto Purwanto; I Komang Astina; Yusuf Suharto
Jurnal Pendidikan Geografi Vol 20, No 1 (2015)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (682.772 KB) | DOI: 10.17977/pg.v20i1.5008

Abstract

Abstrak: Tujuan dalam dalam penelitian ini yaitu mengkaji kesesuaian lahan untuk wisata pantai dan menentukan prioritas  pengembangan pantai di Kabupaten Tuluangung. Penelitian ini merupakan penelitian survey dengan menggunakan analisis Sistem Informasi Geografi yaitu pemodelan spasial dengan cara skoring. Analisis dilakukan dalam dua tahap yaitu tahap I untuk mencari pantai yang sesuai untuk wisata, dan tahap II untuk mencari pantai yang paling prioritas untuk dikembangkan. Hasil penelitian menunjukkan bahwa dari 10 pantai di Kabupaten Tulungagung sebanyak 8 (delapan) pantai memiliki tingkat kesesuain S1 yaitu sesuai dan 2 pantai S2 (sesuai dengan faktor pembatas). Dari pantai yang sesuai tersebut dianalisis lebih lanjut untuk mempeoleh pantai yang paling prioritas untuk dikembangkan. Hasil analisis tahap II pantai yang paling Prioritas untuk dikembangkan yaitu pantai Bayem, Klatak, dan Gerangan. Ketiga pantai tersebut memiliki skor 290, 275, dan 260. Skor yang tinggi menunjukkan bahwa pantai tersebut memiliki potensi yang besar untuk dikembangkan menjadi tempat wisata. Sedangkan pada Prioritas II yaitu pantai Sidem, dan Prioritas III pantai Brumbun, Nglarap, Sine, dan Gemah.Kata Kunci: SIG, Pemodelan Spasial, Pengembangan
Penerapan Model Pembelajaran Matematika Melalui Pemecahan Masalah untuk Meningkatkan Penalaran Matematis Siswa Kelas X-A SMA Al-Muslimun Maimunah Maimunah; Purwanto Purwanto; Cholis Sa’dijah; Sisworo Sisworo
JRPM (Jurnal Review Pembelajaran Matematika) Vol. 1 No. 1 (2016)
Publisher : Department of Mathematics Education, Faculty of Tarbiyah and Teacher Training, UIN Sunan Ampel Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (358.613 KB) | DOI: 10.15642/jrpm.2016.1.1.17-30

Abstract

The purpose of this study to improve students mathematical reasoning with the application of teaching mathematics through problem solving. This models consist of four fase, that is: giving problems, investigation, presentation results, and evaluation results. Method of research is quasi experimental is implemented in class X-A SMA Al Muslimun Pelalawan Riau. Subject of this study were 19 students who divided into groups of 4-5 students with the capability of high, medium, and low. The instrument used was a test and observation. In the pretest result there were 10 students with sufficient reasoning and good criteria. While on the posttest there were 19 students with the criterion of mathematical reasoning is good. No students obtains criterion of mathematical reasoning is very good in two test.
EXPLORING MATHEMATICAL REPRESENTATIONS IN SOLVING ILL-STRUCTURED PROBLEMS: THE CASE OF QUADRATIC FUNCTION Ika Santia; Purwanto Purwanto; Akbar Sutawidjadja; Sudirman Sudirman; Subanji Subanji
Journal on Mathematics Education Vol 10, No 3 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (777.857 KB) | DOI: 10.22342/jme.10.3.7600.365-378

Abstract

Mathematical representation has an essential role in solving mathematical problems. However, there are still many mathematics education students who have difficulty in representing ill-structured problems. Even though the ill-structured-problem-solving tasks designed to help mathematics education students understand the relevance and meaningfulness of what they learn, they also are connected with their prior knowledge. The focus of this research is exploring the used of mathematical representations in solving ill-structured problems involving quadratic functions. The topic of quadratic functions is considered necessary in mathematics teaching and learning in higher education. It's because many mathematics education students have difficulty in understanding these matters, and they also didn’t appreciate their advantage and application in daily life. The researchers' explored mathematical representation as used by two subjects from fifty-four mathematics education students at the University of Nusantara PGRI Kediri by using a qualitative approach. We were selected due to their completed all steps for solving the ill-structured problem, and there have different ways of solving these problems. Mathematical representation explored through an analytical framework of solving ill-structured issues such as representing problems, developing alternative solutions, creating solution justifications, monitoring, and evaluating. The data analysis used technique triangulation. The results show that verbal and symbolic representations used both subjects to calculate, detect, correct errors, and justify their answers. However, the visual representation used only by the first subject to detect and correct errors.
COMPARING MODEL-BUILDING PROCESS: A MODEL PROSPECTIVE TEACHERS USED IN INTERPRETING STUDENTS’ MATHEMATICAL THINKING Mujiyem Sapti; Purwanto Purwanto; Edy Bambang Irawan; Abdur Rahman As'ari; Cholis Sa'dijah; Susiswo Susiswo; Ariyadi Wijaya
Journal on Mathematics Education Vol 10, No 2 (2019)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.10.2.7351.171-184

Abstract

Mathematical thinking is an important aspect of mathematics education and, therefore, also needs to be understood by prospective teachers. Prospective teachers should have the ability to analyze and interpret students’ mathematical thinking. Comparing model is one of the interpretation models from Wilson, Lee, and Hollebrands. This article will describe the prospective teacher used the model of the building process in interpretation students' mathematical thinking. Subjects selected by considering them in following the students’ strategies in solving the Building Construction Problem. Comparing model is a model of interpretation in which a person interprets student thinking based on student work. There are two types comparing model building process prospective teacher use in interpreting students’ mathematical thinking ie. comparing work and comparing knowledge. In comparing works, prospective teachers use an external representation rubric. This is used to analyze student activities in order to provide an interpretation that is comparing the work of students with their own work. In comparing knowledge, prospective teachers use internal representation rubrics to provide interpretation by comparing the students' work with their knowledge or thought.
EXPLORING THE MENTAL STRUCTURE AND MECHANISM: HOW THE STYLE OF TRUTH-SEEKERS IN MATHEMATICAL PROBLEM-SOLVING? Dian Kurniati; Purwanto Purwanto; Abdur Rahman As'ari; Dwiyana Dwiyana
Journal on Mathematics Education Vol 9, No 2 (2018)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.9.2.5377.311-326

Abstract

The Mathematics students who perform truth-seeking process upon solving mathematical problems were unique. Therefore, the study deems it necessary to know students’ mental structure and mechanism so that they can make the right decision by performing truth-seeking. However, no research has delved into the mental structures and mechanisms of Mathematics students, who tend to grapple with truth-seeking processes extensively. This study was explorative qualitative because the aims to describe the types of mental structure and mechanism of Mathematics students upon the truth-seeking process in solving mathematical problems. The research subjects are four Mathematics students at the University of Jember who perform truth-seeking and can communicate fluently when performing think-aloud. Their responses in the answer sheets drove the determination of research subjects' tendency in truth-seeking. Afterward, the results of think-aloud and task-based interview were put under analysis, so as to determine the types of mental structure and mechanism. The research findings have indicated that (1) all mental structures have been constructed by all research subjects and (2) two types of mental mechanism are evident among the subjects, including the process of interiorization coupled with coordination and another process encompassing interiorization, coordination, and reversal.
Dinamika Spatio-Temporal Dampak Erupsi Gunung Kelud di Kabupaten Kediri Purwanto Purwanto; Marhadi Slamet Kistiyanto
Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktek dalam Bidang Pendidikan dan Ilmu Geografi Vol 22, No 1 (2017)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1282.425 KB) | DOI: 10.17977/jpg.v22i1.395

Abstract

Tujuan penelitian ini mengkaji sejauh mana dampak erupsi gunung Kelud Tahun 2014 terhadap dinamika perubahan lahan. Metode yang digunakan dalam penelitian ini yaitu survey dengan menggunakan data penginderaan jauh multi temporal dan multi resolusi. Data penginderan jauh yang digunakan yaitu citra Landsat ETM+, Landsat 8, Aster, Quickbird, SRTM, dan Hyperion. Hasil penelitian menunjukkan pasca erupsi gunung Kelud 2014 telah menyebabkan dinamika spatio temporal arah erupsi dan perubahan lahan. Hasil kajian dari tahun 1901 sampai 2014 secara makro arah erupsi G. Kelud selalu ke arah Barat dan beberpaa erupsi susulan ke Arah Timur. Pada skala meso arah erupsi mengarah ke Selatan, Barat, dan Utara. Hal ini dipengaruhi oleh arah angin yang mengarah ke Barat Daya. Pada skala mikro kerusakan lahan dapat dilihat dari perubahan kawah G. Kelud di mana kawah 1990 berupa danau, 2007 anak gunung Kelud, dan 2014 kawah kering.DOI: http://dx.doi.org/10.17977/um017v22i12017p060
Pengaruh penggunaan media Webgis Inarisk terhadap kemampuan berpikir spasial siswa pada materi mitigasi dan adaptasi bencana Agus Dwi Febrianto; Purwanto Purwanto; Listyo Yudha Irawan
Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktek dalam Bidang Pendidikan dan Ilmu Geografi Vol 26, No 2 (2021)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um017v26i22021p073

Abstract

Spatial thinking skills is needed in geography learning. Geography learning learns about the geosphere, which need to be studied from the perspective of spatial, environment, and regional complex. This is consistent with the concept of spatial thinking, which involves complex thinking processes from multiple perspectives to study various phenomena. This research aims to determine the effect and effectiveness of using webgis inarisk media towards spatial thinking skills. This research was conducted through a quantitative method with data analysis using T-Test (Independent Sample T-Test) and the effectiveness test using (N-Gain Score Test). The results showed the Sig. (2-tailed) value in the analysis of the Independent Sample T-Test was 0.001 or more than 0.05. The average score of spatial thinking ability also showed that the experiment group (XI IPS 2) has a score of 70.3 which is higher than the control group (XI IPS 1) that is 64.2. Based on this, it is concluded that the webgis inarisk as a learning media has an effect on students' spatial thinking abilities. The results of the N-Gain Score test showed that webgis inarsik media used in experiment group (XI IPS 2) has better effectiveness in the achievement of spatial thinking skills, which is 43.7 percent, compared to map media used in control group (XI IPS 1) with an effectiveness of 32.09 percent.Kemampuan berpikir spasial diperlukan dalam pembelajaran geografi. Pembelajaran geografi mempelajari tentang fenomena geosfer, dimana perlu dikaji melalui melalui sudut pandang keruangan, kelingkungan dan kompleks wilayah. Hal tersebut sesuai dengan konsep berpikir spasial, yang melibatkan proses berpikir yang kompleks dari berbagai perspektif untuk mempelajari berbagai fenomena. Penelitian ini bertujuan untuk mengetahui pengaruh dan efektivitas penggunaan media webgis inarisk terhadap kemampuan berpikir spasial siswa. Penelitian ini dilakukan menggunakan metode kuantitatif, dengan analisis analisis data melalui Uji-T (Independent Sample T-Test) dan uji efektivitas (Uji N-Gain Score). Hasil nilai Sig (2-tailed) pada analisis Independent Sample T-Test menunjukkan skor 0,001 atau lebih dari 0,05. Rata-rata skor kemampuan berpikir spasial juga menunjukkan pada kelas eksperimen yaitu (XI IPS 2) memiliki nilai 70,3 yang lebih tinggi dibandingkan kelas kontrol (XI IPS 1) yaitu 64,2. Disimpulkan bahwa webgis inarisk sebagai media pembelajaran berpengaruh terhadap kemampuan berpikir spasial siswa. Hasil Uji nilai N-Gain Score juga menunjukkan bahwa media webgis yang digunakan di kelas eksperimen (XI IPS 2) memiliki efektivitas yang lebih baik dalam pencapaian kemampuan berpikir spasial yaitu sebesar 43,7 persen, dibandingkan media peta yang digunakan di kelas kontrol (XI IPS 1) dengan efektivitas 32,09 persen.
Pemanfaatan Sistem Informasi Geografi untuk Pemodelan Spasial Pengembangan Wisata Pantai di Kabupaten Tulungagung Purwanto Purwanto; I Komang Astina; Yusuf Suharto
Jurnal Pendidikan Geografi: Kajian, Teori, dan Praktek dalam Bidang Pendidikan dan Ilmu Geografi Vol 20, No 1 (2015)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (682.772 KB) | DOI: 10.17977/jpg.v20i1.281

Abstract

Abstrak: Tujuan dalam dalam penelitian ini yaitu mengkaji kesesuaian lahan untuk wisata pantai dan menentukan prioritas pengembangan pantai di Kabupaten Tuluangung. Penelitian ini merupakan penelitian survey dengan menggunakan analisis Sistem Informasi Geografi yaitu pemodelan spasial dengan cara skoring. Analisis dilakukan dalam dua tahap yaitu tahap I untuk mencari pantai yang sesuai untuk wisata, dan tahap II untuk mencari pantai yang paling prioritas untuk dikembangkan. Hasil penelitian menunjukkan bahwa dari 10 pantai di Kabupaten Tulungagung sebanyak 8 (delapan) pantai memiliki tingkat kesesuain S1 yaitu sesuai dan 2 pantai S2 (sesuai dengan faktor pembatas). Dari pantai yang sesuai tersebut dianalisis lebih lanjut untuk mempeoleh pantai yang paling prioritas untuk dikembangkan. Hasil analisis tahap II pantai yang paling Prioritas untuk dikembangkan yaitu pantai Bayem, Klatak, dan Gerangan. Ketiga pantai tersebut memiliki skor 290, 275, dan 260. Skor yang tinggi menunjukkan bahwa pantai tersebut memiliki potensi yang besar untuk dikembangkan menjadi tempat wisata. Sedangkan pada Prioritas II yaitu pantai Sidem, dan Prioritas III pantai Brumbun, Nglarap, Sine, dan Gemah.Kata Kunci: SIG, Pemodelan Spasial, Pengembangan.DOI: http://dx.doi.org/10.17977/um017v20i12015p012
Elementary School Teachers' Mathematical Connections in Solving Trigonometry Problem Sitti Fithriani Saleh; Purwanto Purwanto; Sudirman Sudirman; Erry Hidayanto; Susiswo Susiswo
Research in Social Sciences and Technology Vol 3 No 3 (2018): Research in Social Sciences and Technology
Publisher : Research in Social Sciences and Technology- OpenED Network

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46303/ressat.03.03.3

Abstract

This study aims to reveal mathematical connections of elementary school teachers in solving trigonometric problem. The subjects of this study were 22 elementary school teachers as the prospective participants of Professional Teacher Education and Training (PTET). They came from several districts of South Sulawesi Province. The teachers were given trigonometry problem. Trigonometry problems could encourage teachers to connect geometrical and algebraic concept, graphical representation and algebraic representation, as well as daily life context. The result shows that most of the subject teachers of this study solved the problem according to procedures they know without considering everyday life context. On the other hand, there were some subjects who connected problem with everyday life context using graphical, verbal, or numerical representation. Thus, subjects who were able to connect problem information with appropriate concepts and procedures are categorized as substantive connections. While the subjects who were able to connect problem information with mathematical concepts but less precise in using the procedure are categorized as classification connections.
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 Mohd Isha Awang 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 Sudirman Sudirman Sukoriyanto Sulis Setyowati Susiswo Swasono Rahardjo Syamsuri Syamsuri Tasya Khairunisa Waldati Bariroh Wisang Elang Fajar Nisnala Yuni Kartika Sita Dewi Yusuf Suharto Zahrina Fatmala