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PENALARAN PROPORSIONAL DALAM MENYELESAIKAN MASALAH MULTIPLIKATIF TIPE PRODUCT OF MEASUREMENT Uun Hariyanti; Edy Bambang Irawan; Erry Hidayanto
Jurnal Kajian Pembelajaran Matematika Vol 1, No 1 (2017): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

This study aims to explore students’ proportional reasoning in solving multiplicative problems on products of measurement type. Three 8 grade students of Public Junior High School 21 Malang were being purposively studied. The sampling technique is also called as the judgement sampling. Data then was being analyzed in three steps: data reduction, data presentation, and conclusion drawing/verification. The data were studied and analyzed based on Bexter’s and Junker’s Constructions of Proportional Reasoning theory consisting of five stages: (1) qualitative; (2) early attempts at quantifying; (3) recognition of multiplicative relationships; (4) accommodating covariance and invariance, and (5) functional and scalar relationships. Result shows that students with low capability (S1) solved problems by registering the number of first measurement then pair it with second measurement by summing the two measurements identified as early attempts at quantifying phase. It is also found that students with moderate capability (S2) solved the problem by registering all existing possibilities and then summing them all, concluding them qualified as being in recognition of multiplicative relationships phase. Moreover, students with high capability (S3) solved the problem by listing the number of the first measurement then multiplying it with the second measurement, qualifying them as being in the accommodating covariance and invariance phase in proportional reasoning.
KETERAMPILAN METACOGNITIVE EXPERIENCE SISWA PADA PEMBELAJARAN MATEMATIKA DI SD NEGERI KOTALAMA 1 MALANG Inna Megawati; Edy Bambang Irawan; Sulton Sulton
Jurnal Kajian Pembelajaran Matematika Vol 1, No 2 (2017): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

this research focus of describing the skill of metacognitive experience student of mathematic learning in elementary school of kotalama 1 malang. Description the skill of metacognitive experience about character for metacognitive feelings dan metacognitive judgment student. Research of procedur used is with do observation, documentation, then interview. Research for subject  what index finger that is student grade IV B as many as 5 people with character is different. Research of result acquisition that is metacognitive feelings student still not yet appear, metacognitive judgment student no happen because there is connect between metacognitive feelings with judgment. Beside it’s, feelings for student can acquisition because there is support principle of learn from around area. Method of teach by teacher so influence character for metacognitive feelings and metacognitive judgment student.
PROSES KONEKSI MATEMATIS SISWA BERGAYA KOGNITIF REFLEKTIF DALAM MENYELESAIKAN MASALAH ALJABAR BERDASARKAN TAKSONOMI SOLO Risma Firda Diana; Edy Bambang Irawan; Susiswo susiswo
Jurnal Kajian Pembelajaran Matematika Vol 1, No 1 (2017): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

Hasil observasi dan uji pendahuluan pada beberapa SMP di kota Malang menunjukkan bahwa siswa masih kesulitan dalam menyelesaikan masalah aljabar. Hal tersebut karena siswa masih kesulitan dalam membuat koneksi matematika dengan kehidupan sehari-hari, koneksi konsep aljabar dengan konsep lain dimatematika, serta koneksi antar konsep aljabar. Respon yang ditunjukkan beberapa siswa dalam menyelesaikan masalah aljabar pada uji pendahuluan hanya sampai pada level multistructural pada taksonomi SOLO. Salah satu faktor yang mempengaruhi respon yang diberikan siswa dalam menyelesaikan masalah adalah gaya kognitif. Gaya kognitif berdasarkan penggunaan waktu dan jumlah kesalahan yang dibuat menurut Kagan dan Kogan adalah gaya kognitif reflektif dan impulsif. Tujuan penelitian ini adalah mendeskripsikan proses koneksi matematis siswa bergaya kognitif reflektif dalam menyelesaikan masalah aljabar berdasarkan taksonomi SOLO. Penelitian ini merupakan penelitian kualitatif deskriptif dengan menggunakan instrumen tes gaya kognitif, tes koneksi, dan wawancara. Hasil penelitian menunjukkan bahwa siswa bergaya kognitif reflektif mampu menggunakan semua informasi yang diketahui kemudian menghubungkan semua informasi tersebut sehingga dapat menyelesaikan permasalahan yang diberikan. Berdasarkan hal tersebut maka proses koneksi matematis siswa bergaya kognitif reflektif dalam menyelesaikan masalah aljabar mencapai level relational hingga level extended abstract pada taksonomi SOLO.
PEMBELAJARAN BERBASIS INKUIRI UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS Izzatul Yazidah; Edy Bambang Irawan; I Made Sulandra
Jurnal Kajian Pembelajaran Matematika Vol 4, No 1 (2020): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

21st century human competence is creativity and innovation, communication and collaboration, as well as critical thinking and problem solving. Critical thinking skills need to be possessed by students. Students who have the ability to think critically will tend to respect and respect others. These characteristics are very important for future generations to live in the modern world. One learning that is expected to be able to train and improve critical thinking skills is inquiry-based learning. Inquiry-based learning is a learning process by formulating questions, processing ideas, exploring and evaluating information, analyzing data, and finding relationships and conclusions. Inquiry-based learning emphasizes the process of thinking critically and analytically to seek and find their own solutions to a proposed problem. Inquiry-based learning involves students actively seeking answers to questions or problems. In this case the writer refers to the inquiry training developed by Richard Suchman. The existence of inquiry-based learning is expected to motivate and direct learning that is oriented towards increasing critical thinking skills.
Pengembangan Media Box Mengenal Bilangan dan Operasinya Bagi Siswa Kelas 1 Di SDN Gadang 1 Kota Malang Martini Dwi Purnama; Edy Bambang Irawan; Cholis Sadijah
Jurnal Kajian Pembelajaran Matematika Vol 1, No 1 (2017): Jurnal Kajian Pembelajaran Matematika
Publisher : FMIPA UNIVERSITAS NEGERI MALANG

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Abstract

Learning mathematics in grade 1 using pieces of instructional media will generate motivation, stimulating learning activities, abstract concept and bring the psychological effects of a child. This study aims to generate media box material to know numbers and operations are valid, practical, effective and attractive. The model of development used modification 4D model developed by Thiagarajan. Validation results declared invalid by subject matter experts and very valid by media experts. Practicality and attractiveness of the product reaches 94 % categorized as very practical and very attractive. While the effectiveness of a product is marked with the positive response of students who achieve mastery of at least about 82 %
Analisis Proses Bernalar Siswa dalam Memecahkan Masalah Matematika di SMP Muhammadiyah 6 Dau Malang Yulia Primantari; Toto Nusantara; Edy Bambang Irawan
Jurnal Pendidikan Matematika dan Sains Vol 8, No 1 (2020): June 2020
Publisher : Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jpms.v8i1.19652

Abstract

Penelitian ini bertujuan untuk mendeskripsikan proses bernalar matematika siswa kelas VIII SMP Muhammadiyah 6 Dau Malang dalam memecahkan masalah matematika. Jenis dan pendekatan yang digunakan dalam penelitian ini adalah deskriptif kualitatif dengan subjek yaitu siswa kelas VIII SMP Muhammadiyah 6 Dau Malang sebanyak 27 siswa. Data diperoleh dari pemberian Tes dan Wawancara. Hasil penelitian proses bernalar siswa ini menunjukkan bahwa (1) menyajikan pernyataan matematika, siswa mampu menyajikan pernyataan matematika dengan benar yaitu terbukti pada kegiatan siswa membuat model matematika dari soal cerita yang diberikan; (2) mengajukan dugaan, siswa dapat menentukan strategi penyelesaian soal dengan benar, hal ini terbukti pada kegiatan siswa pada saat menentukan strategi dengan cara eliminasi untuk memperoleh salah satu nilai; (3) melakukan manipulasi, siswa dapat mengerjakan soal menggunakan konsep matematika yang relevan serta melakukan perhitungan sampai selesai dan memperoleh hasil yang benar, hal ini terbukti pada kegiatan siswa dalam menyelesaikan masalah, siswa mengerjakan soal dengan menggunakan konsep matematika yang relevan yaitu konsep SPLD, siswa juga melakukan perhitungan sampai selesai dengan hasil yang benar; (4) menyimpulkan, menunjukkan bahwa siswa belum mampu menarik kesimpulan dari kegiatan yang dilakukan dengan baik. Siswa belum mampu   menuliskan kesimpulan akhir dari jawaban yang diperoleh. Mereka hanya selesai sampai perhitungan akhir tanpa memberikan kesimpulan atas jawaban yang diperoleh.
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.
INVESTIGATION OF CONTINGENCY PATTERNS OF TEACHERS' SCAFFOLDING IN TEACHING AND LEARNING MATHEMATICS Anwar Anwar; Ipung Yuwono; Edy Bambang Irawan; Abdur Rahman As'ari
Journal on Mathematics Education Vol 8, No 1 (2017)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (83.658 KB) | DOI: 10.22342/jme.8.1.3410.65-76

Abstract

The purpose of this study is to investigate the patterns of scaffolding contingency in teaching and learning mathematics carried out by three teachers. Contingency patterns are obtained by examining the transcription from video recording of conversation fragments between teachers and students during the provision of scaffolding. The contingency patterns are drawn in three strategies: diagnostic strategy, intervention strategy, and checking diagnosis. The result shows that the three teachers expressed different interaction contingencies in their scaffolding activities: contingent dominant, non-contingent dominant, and pseudo-contingent. It is also found that the learning interaction performed by experienced teachers tends to be contingent dominant compared to novice teachers.Keywords: Contingency, Contingent Dominant, Non-Contingent Dominant, Pseudo Contingent, Scaffolding DOI: http://dx.doi.org/10.22342/jme.8.1.3410.65-76
DEVELOPING STUDENTS’ ANALOGICAL REASONING THROUGH ALGEBRAIC PROBLEMS Siti Lailiyah; Toto Nusantara; Cholis Sa'dijah; Edy Bambang Irawan
Jurnal Pendidikan Sains Vol 5, No 2: June 2017
Publisher : Pascasarjana Universitas Negeri Malang (UM)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (448.379 KB) | DOI: 10.17977/jps.v5i2.9020

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Abstract: This study aims at discussing the understanding and definition of analogy reasoning ability including the example of how analogy reasoning ability is formulated in the form of analogy reasoning components and its indicators. This study was a qualitative design research. The data obtained in this study was collected from Mathematic assignment exercise sheets. The source of the data was obtained from think alouds, transcribed interview, and video during assignment completion and interview. The data obtained, then, were analyzed using interactive qualitative analysis technique. The result of this study was examined and described qualitatively. In accordance with the theoretical framework established, the results of this study are described in three groups classification which possess different characteristics such as internal structurization, connective external structurization, and extension external structurization.Key Words: competence of reasoning, analogy reasoning, algebra problem Abstrak: Tujuan penelitian ini adalah membahas pengertian dan definisi kemampuan penalaran analogi disertai dengan contoh bagaimana kompetensi penalaran analogi tersebut dirumuskan dalam bentuk komponen-komponen penalaran analogi serta indikatornya. Jenis penelitian ini termasuk penelitian kualitatif. Data yang dikumpulkan dalam penelitian ini berasal dari data hasil lembar tugas matematika. Sumber data dalam penelitian ini berasal dari hasil thinks alouds, wawancara yang ditranskripkan, dan video selama subjek mengerjakan lembar tugas serta wawancara. Data yang telah terkumpul dianalisis dengan menggunakan teknik analisis kualitatif dengan model teknik analisis interaktif. Hasil penelitian ini dikaji dan dideskripsikan secara kualitatif. Berdasarkan kerangka teori yang dibangun, hasil penelitian ini dipaparkan dalam tiga kelompok yang memiliki karakteristik berbeda yaitu penstrukturan internal, penstrukturan eksternal konektif, dan penstrukturan eksternal ekstensi.Kata kunci: kemampuan penalaran, penalaran analogi, masalah aljabar
Media Permainan Kartu Domino untuk Meningkatkan Keterampilan Berhitung Konversi Pecahan Desimal Siswa Kelas IV Firman Tsabbit Abqari; Edy Bambang Irawan; Cholis Sa’dijah
Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan Vol 3, No 9: SEPTEMBER 2018
Publisher : Graduate School of Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (644.179 KB) | DOI: 10.17977/jptpp.v3i9.11550

Abstract

Abstract: This research describe the usage of media player Domino Card to increase soft skills in a counting convertion fraction-desimal. The mathematics learning in elementary school expected the students skilled counting fraction-decimal. Media player of Domino Card arrange to increase skilled on convertion fraction-decimal and help student active on mathematic learning. This study is a classroom action research, conducted during two cycles. This action research consists of four steps, (1) planning, (2) acting, (3) observing, and (4) reflecting. Result of the research show with using Domino Card as media game, students skilled counting convertion fraction-decimal. Abstrak: Penelitian ini mendeskripsikan penggunan media permainan kartu Domino untuk meningkatkan keterampilan berhitung konversi pecahan-desimal. Pembelajaran matematika di sekolah dasar, diharapkan siswa terampil berhitung konversi pecahan-desimal. Media permainan kartu domino dirancang untuk meningkatkan keterampilan berhitung konversi pecahan-desimal dan membantu siswa aktif dalam belajar matematika. Penelitian ini merupakan penelitian tindakan kelas yang dilaksanakan selama dua siklus. Penelitian tindakan ini terdiri dari empat langkah, yaitu (1) perencanaan, (2) pelaksanaan, (3) observasi, dan (4) refleksi. Hasil penelitian menunjukkan dengan menggunakan media permainan kartu domino siswa terampil berhitung konversi pecahan-desimal.