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All Journal Journal on Mathematics Education (JME) Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan International Journal on Emerging Mathematics Education JPIn : Jurnal Pendidik Indonesia International Journal of Humanities and Innovation (IJHI) International Journal of Progressive Mathematics Education Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya

Purwanto

Dosen Pendidikan Matematika Pascasarjana-Universitas Negeri Malang

Author-ID : 3187154

Humanities Computer Science & IT Education Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

Published : 13 Documents Claim Missing Document

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Abstraction reflective student in problem solving of Mathematics based cognitive style Anies Fuady; Purwanto; Susiswo; Swasono Rahardjo
International Journal of Humanities and Innovation (IJHI) Vol. 2 No. 4 (2019): December
Publisher : Center for Humanities and Innovation Studies

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33750/ijhi.v2i4.50

The student's reflective abstraction ability in solving problems is necessary because the result of a person's reflective abstraction is a scheme used to understand something, finding solutions or solving problems. Besides, reflective abstractions are essential to higher mathematical, logical thinking as they occur in logical thinking in children. Therefore, to develop a reflective abstraction notion of high-level mathematical thinking, it is necessary to separate what is an essential feature of reflective abstraction, reflect its rules on higher mathematics, recognize and reconstruct it so that a similar theory of knowledge Mathematics and its instructions. While research that will researchers do is to know how the process of reflective abstraction of students in solving problems in terms of cognitive style. This is because the cognitive style is closely related to how to receive and process all information, especially in learning. The various trends in their learning can be identified and then classified whether the child belongs to an independent field cognitive style (thinking tends to have the independence of views) or field dependent.

GENERALIZATION STRATEGY OF LINEAR PATTERNS FROM FIELD-DEPENDENT COGNITIVE STYLE Yayan Eryk Setiawan; Purwanto Purwanto; I Nengah Parta; Sisworo Sisworo
Journal on Mathematics Education Vol 11, No 1 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Linear pattern is the primary material in learning number patterns in junior high schools, but there are still many students who fail to generalize the linear pattern. The students’ failure in generalizing the pattern occurred when the students ended to view the problems globally without breaking them into the constructors’ components such as the experience of field-dependent type students. For this reason, this study was carried out to explore the thinking process of students who fail and investigate the thinking processes of students who succeed in generalizing linear patterns. The results of this study provide an effective learning strategy solution for field-dependent students in generalizing linear patterns. This study employed a qualitative approach with a case study design to junior high school students. The results indicated that students in the field-dependent cognitive style looked at pattern questions represented in the form of geometric images globally without looking at the structure of the image. Two strategies for generalizing linear patterns used by field-dependent students were examined, namely recursive and different strategies.

SEMIOTIC REASONING EMERGES IN CONSTRUCTING PROPERTIES OF A RECTANGLE: A STUDY OF ADVERSITY QUOTIENT Christine Wulandari Suryaningrum; Purwanto Purwanto; Subanji Subanji; Hery Susanto; Yoga Dwi Windy Kusuma Ningtyas; Muhammad Irfan
Journal on Mathematics Education Vol 11, No 1 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the properties of a rectangle. The participants of the present qualitative study are three elementary students classified into three levels of Adversity Quotient (AQ): quitter/AQ low, champer/AQ medium, and climber/AQ high. The results show three participants identify object by observing objects around them. In creating sign stage, they made the same sign that was a rectangular image. However, in three last stages, namely interpret sign, find out properties of sign, and discover properties of a rectangle, they made different ways. The quitter found two characteristics of rectangular objects then derived it to be a rectangle’s properties. The champer found four characteristics of the objects then it was derived to be two properties of a rectangle. By contrast, Climber found six characteristics of the sign and derived all of these to be four properties of a rectangle. In addition, Climber could determine the properties of a rectangle correctly.

Penalaran Analogi Siswa SMP Tipe Climber dalam Menyelesaikan Masalah Matematika Muniroh Novisa; Subanji Subanji; Purwanto Purwanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 5, No 2: FEBRUARI 2020
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/jptpp.v5i2.13165

Abstract: Analogy reasoning ability is the ability of students to connect two problems. Students' ability to overcome problems can be seen from Adversity quotient (AQ), one type of AQ is the climber. This study aims to identify the analogy reasoning of climber type students. The instruments used in this study were test questions and interviews. The results of this study in solving the problem of climber type students try hard to identify important information in the problem, determine the problem solving strategy based on similarity relationships to solve the problem between two problems and apply in solving problems to find problem solving.Abstrak: Kemampuan penalaran analogi merupakan kemampuan siswa dalam menghubungkan dua masalah. Kemampuan siswa dalam mengatasi masalah dapat dilihat dari Adversity quotient (AQ), salah satu tipe dari AQ adalah climber. Penelitian ini bertujuan untuk mengidentifikasi penalaran analogi siswa tipe climber. Instrumen yang digunakan dalam penelitian ini adalah soal tes dan wawancara. Hasil penelitian ini dalam menyelesaikan masalah siswa tipe climber berusaha keras mengidentifikasi informasi penting dalam masalah, menentukan strategi penyelesaian masalah berdasarkan hubungan kemiripan penyelesaian masalah antara dua masalah, serta menerapkan dalam penyelesaian masalah hingga menemukan penyelesaian masalah.

PENINGKATAN PEMAHAMAN KONSEP HIMPUNAN MELALUI MIND MAPPING KELAS VII SMP Dewi Arfiyanti; Edy Bambang Irawan; Purwanto Purwanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 2, No 6: Juni 2017
Publisher : Graduate School of Universitas Negeri Malang

The kind of this research is classroom action reseach (CAS). This research was conducted to 34 student in the VII.D class of SMP. The aim of this research is to describe understanding concept of set through mind mapping. The data collected is the result of observation, mind mapping and finals tes of the cycle. There are six indicators to decide sub topic, keyword, color design, supporting data and material of sets in assessing mind mapping. The result of mind mapping shows that students can produce picture and write the keywords, Supporting data in the form of notation and Venn diagram. Students comprehended sets concept and finished contextual problem by using Venn diagram.Jenis penelitian ini adalah Penelitian Tindakan Kelas (PTK). Penelitian ini dilaksanakan pada kelas VII. D SMP berjumlah 34 siswa. Tujuan penelitian ini adalah mendiskripsikan peningkatkan pemahaman konsep himpunan melalui mind mapping. Data yang dikumpulkan yaitu data observasi, hasil mind mapping dan tes akhir siklus. Penilaian mind mapping ada enam indikator yaitu menentukan sub topik, menentukan cabang sub topik, kata kunci, desain warna, data pendukung, dan materi himpunan. Berdasarkan hasil mind mapping menunjukkan siswa telah menghasilkan gambar dengan menuliskan kata kunci, data pendukung berupa notasi dan diagram Venn. Siswa memahami konsep himpunan dan menyelesaikan masalah kontekstual dengan diagram Venn.

Media Pembelajaran Matematika Materi Kombinatorika Berbasis Media Interaktif pada Siswa SMK Ana Cholila; Purwanto Purwanto; Erry Hidayanto
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 4, No 4: APRIL 2019
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/jptpp.v4i4.12379

Abstract: The need for variations in learning resources for students of SMK Diponegoro Tumpang and the development of 2stcentury technology are the basis of this development research. The purpose of this paper is to describe the development of valid, practical and effective learning media for combinatoric material. This development uses the ADDIE model. The test subjects in the development of learning media consisted of expert validators, practitioner validators, observers, 5 students of class XII as group trials, and 22 students of class XII KPR as field trials. The instruments used were learning media, lesson plans, observation sheets, student response questionnaires, and teacher response questionnaires. The results of the development state that learning media are valid, practical, and very effective.Abstrak: Kebutuhan variasi sumber belajar bagi siswa SMK Diponegoro Tumpang dan perkembangan teknologi abad 21 merupakan dasar dari penelitian pengembangan ini. Tujuan penulisan ini adalah mendeskripsikan pengembangan media pembelajaran materi kombinatorika yang valid, praktis, dan efektif. Pengembangan ini menggunakan model ADDIE. Subjek uji coba dalam pengembangan media pembelajaran ini terdiri dari validator ahli, validator praktisi, observer, 5 siswa kelas XII sebagai uji coba kelompok, dan 22 siswa kelas XII KPR sebagai uji coba lapangan. Instrumen yang digunakan adalah media pembelajaran, RPP, lembar observasi, angket respon siswa, dan angket respon guru. Hasil pengembangan menyatakan bahwa media pembelajaran valid, praktis, dan sangat efektif.

PENALARAN MATEMATIS SISWA BERKEMAMPUAN TINGGI DAN RENDAH DALAM MENYELESAIKAN PERSAMAAN KUADRAT Wahyudi Wahyudi; Purwanto Purwanto; Sri Mulyati
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol.1, No.7, Juli 2016
Publisher : Graduate School of Universitas Negeri Malang

Mathematical reasoning is a process to obtain a conclusion that is supported by mathematical premises known or assumed. This study aimed to describe the mathematical reasoning high (KT) and low (KR) performing students in solving quadratic equations. Subjects were asked solving quadratic equations with various methods of completion they controlled and conducted interviews to clarify results of his work. The results showed KT only capable of understanding the method of factoring and the quadratic formula, while the KR is not able to understand the methods of completion of quadratic equations. Both subjects did not understand the methods completing a square. Both subjects making conjecture, provide arguments and concluding. But both the subject does not check his work. Penalaran matematis merupakan proses memperoleh kesimpulan yang didukung oleh premis-premis matematis yang diketahui atau diasumsikan. Penelitian ini bertujuan untuk mendeskripsikan penalaran matematis siswa berkemampuan tinggi (KT) dan rendah (KR) dalam menyelesaikan soal persamaan kuadrat. Subjek diminta menyelesaikan soal persamaan kuadrat dengan berbagai metode penyelesaian yang mereka kuasai dan dilakukan wawancara untuk mengklarifikasi hasil pekerjaannya. Hasil penelitian menunjukkan bahwa KT hanya memahami metode pemfaktoran dan rumus kuadratik, sedangkan KR tidak memahami metode penyelesaian persamaan kuadrat. Kedua subjek tidak memahami metode menyempurnakan kuadrat sempurna. Kedua subjek membuat dugaan, memberikan argumen dan menarik kesimpulan. Namun kedua subjek tidak memeriksa kembali hasil pekerjaannya.

PROSES KONEKSI MATEMATIKA SISWA BERKEMAMPUAN TINGGI DAN RENDAH DALAM MEMECAHKAN MASALAH BANGUN DATAR Khafidhoh Nurul Aini; Purwanto Purwanto; Cholis Sa’dijah
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol.1, No.3, Maret 2016
Publisher : Graduate School of Universitas Negeri Malang

Mathematical connection process is intended as students steps in connecting mathematics, it’s seen from result of the completion of tasks in writing and result of student interviews. Connection aspects observed in this research is the connection between mathematical concepts (internal connection) and the connection between mathematics with outside mathematics or with everyday life (external connections). Type of research is descriptive qualitative. The purpose of this research to describe the connection process of students with high mathematical ability and students with low mathematical ability. The results showed that students with high mathematical ability have mathematical connection process more complete in problem solving steps rather than students with low mathematical ability who do not look back.Proses koneksi matematika dimaksudkan sebagai langkah-langkah siswa dalam melakukan koneksi matematika, dilihat melalui hasil penyelesaian tugas secara tertulis dan hasil wawancara siswa. Aspek koneksi yang diamati dalam penelitian ini adalah keterkaitan antara konsep-konsep matematika (koneksi internal) dan keterkaitan antara matematika dengan diluar matematika atau dengan kehidupan sehari-hari (koneksi eksternal). Jenis penelitian yang digunakan adalah kualitatif deskriptif. Tujuan penelitian ini untuk mendeskripsikan proses koneksi matematika siswa yang berkemampuan tinggi dan rendah. Hasil penelitian menunjukkan bahwa siswa yang berkemampuan tinggi memiliki proses koneksi matematika yang lebih lengkap pada langkah pemecahan masalah daripada siswa yang berkemampuan rendah yang tidak melakukan look back.

Using APOS Theory Framework: Why Did Students Unable To Construct a Formal Proof? Syamsuri Syamsuri; Purwanto Purwanto; Subanji Subanji; Santi Irawati
International Journal on Emerging Mathematics Education IJEME, Vol. 1 No. 2, September 2017
Publisher : Universitas Ahmad Dahlan

Mathematical thinking is necessary in mathematics learning especially in college level. One of activities in undergraduate mathematics learning is proving. This article describes students' thinking process who unable to construct mathematical formal proof. The description uses APOS Theory to explore students' mental mechanism and students' mental structure while they do proving. 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 the students could not construct a formal proof because they unable to appear encapsulation process. They merely enable to think interiorization and coordination. Based on the results, some suitable learning activities should designed to support the construction of these mental mechanism.

Kesalahan guru dalam pembelajaran matematika materi bangun datar ditinjau dari Pengetahuan deklaratif Zainuddin Untu; Purwanto Purwanto; I Nengah Parta
Jurnal Pendidik Indonesia (JPIn) Vol 3, No 1: April 2020
Publisher : Yayasan Pendidikan Intan Cendekia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47165/jpin.v3i1.82

Penelitian ini bertujuan untuk mengetahui kesalahan guru dalam membelajarkan materi bangun datar ditinjau dari pengetahuan deklaratif dalam pembelajaran matematika. Subjek penelitian ini adalah guru kelas VI Sekolah Dasar Negeri 02 Samarinda Ilir Kota Samarinda Kalimantan Timur. Pengambilan data dilakukan melalui observasi selama proses pembelajaran matematika materi bangun datar dan wawancara setelah pembelajaran. Hasil penelitian menunjukkan bahwa, terdapat kesalahan guru di dalam membelajarkan materi bangun datar ditinjau dari pengetahuan deklaratif dalam pembelajaran matematika. Kesalahan guru tersebut adalah kesalahan di dalam mendeklarasikan konsep dan fakta tentang keliling dan luas bangun datar secara tertulis/gambar dan secara lisan.

Co-Authors Ana Cholila Anies Fuady Ariska Puji Rahayu Cholis Sa’dijah Christine Wulandari Suryaningrum Dewi Arfiyanti Edy Bambang Irawan Erry Hidayanto Fimmatur Rizka Ardina Hery Susanto I Nengah Parta Khafidhoh Nurul Aini Muhammad Ikram Muhammad Irfan Muniroh Novisa Sisworo Sri Mulyati Subanji Subanji Susiswo Swasono Rahardjo Syamsuri Syamsuri Untu, Zainuddin Untu Wahyudi Wahyudi Yayan Eryk Setiawan Yoga Dwi Windy Kusuma Ningtyas

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