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WHY DID THE STUDENTS MAKE MISTAKES IN SOLVING DIRECT AND INVERSE PROPORTION PROBLEM? Irfan, Muhammad; Nusantara, Toto; Subanji, Subanji; Sisworo, Sisworo
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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The purpose of this study is to describe the student's difficulties in solving direct and inverse proportion problem. This research uses explorative qualitative research type. The subject of this research is the second semester student of Mathematics Education Study Program in East Java. Subjects were selected based on purposive sampling. The findings of this study are 86% of students are wrong in solving the problem of inverse proportion, 28% of students are wrong in solving direct proportion problem, and 91% of students are wrong in solving both problems in a single question. Then, the students who made mistakes in solving the problem were chosen purposively for interview. The finding in this research is the student(1) do not understand the use of variables, (2) do not understand the use of formulas, (3) do not understand the key phrases on the problem, (4) Difference in ratio, fractional, and division, (5) do not understand the problem, (6) do not understand simplification of division, and (7) do not interpret proportion relation correctly.
IDENTIFICATION ERRORS OF PROBLEM POSED BY PROSPECTIVE PRIMARY TEACHERS ABOUT FRACTION BASED MEANING STRUCTURE Prayitno, Lydia Lia; Purwanto, Purwanto; Subanji, Subanji; Susiswo, Susiswo
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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The purpose of this study was to identify problem posed by prospective teachers about addition fractions based on meaning structure. This study is a quantitative descriptive to identify errors of fraction problem posed by prospective teachers based on the meaning.  46 prospective primary teachers in 8th semester in universities at Surabaya were involved in this research. Instrument in this study is a problem posing worksheet consisting two operations on fractions. Problems posed by prospective teachers were analyzed through three stages, grouping problems based on categories, structure of meaning, and analyze the error of the problem posed. The results of data analysis indicated that: (1) on the category of questions about fractions of 93.48% for 1stoperations and 97.83% for 2ndoperation, (2) on the Non-question category about operations fraction is 6.52% for 1st operations and 1.17% for 2nd operation. Grouping problems posed by prospective teachers based on structure meaning combined category is 62.79% for 1st operations and 75.56% for 2nd operation. For category of part relationships overall is 27.91% for 1st operations and 20% for 2ndoperation, while those which not belonging to the second category are 9.3% for 1st operations and 4.44% for 2nd operation. The errors of problem posed by prospective teacher based on meaning structure are (1) not related to daily life situation, (2) illogical problem, (3) unit is not appropriate, (4) fractions incompatible with the sum operation (5) gives whole number to give meaning fraction, (6) lost information, and (7) the added result exceeds the overall concept of the fraction.
THE PROCESS OF DISCOVERING STUDENT’S CONJECTURE IN ALGEBRA PROBLEM SOLVING Yuniati, Suci; Nusantara, Toto; Subanji, Subanji; Sulandra, I Made
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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This exploratory descriptive research aims to describe the process of discovering student?s conjecture in mathematics problem solving. There were 2 students in grade VII of Junior High School who participated as the research subject. The instruments used in this research were problem solving test and interview. This research consisted of three stages which were: 1) data collection; data taken process where the researcher asked every student to solve the problem given; 2) analysis on students? work and interview; in this step the researcher analyzed the results of the students? work and carried out interview with the students for further examination of conjecture discovering process when solving the problem; and 3) examining and concluding students? work result and interview result. The result of this study shows that the stages in discovering conjecture were done sequentially although not all steps were done.
INFORMAL STATISTICAL REASONING OF STUDENTS TAKEN FORMAL STATISTICS LEARNING RELATED TO DISTRIBUTION Rufiana, Intan Sari; Sa'dijah, Cholis; Subanji, Subanji; Susanto, Hery; As'ari, Abdur Rahman
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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This research aims at describing students? statistical reasoning in graphics statistics representation related to distribution. The subjects of this research were students of semester IV of Program of Study Mathematics Education of Muhammadiyah University Ponorogo who have taken a basic statistics course. These subjects were chosen because they have taken a course related to descriptive statistics which discusses graphics representation and data distribution. The data collection technique used essay test related to graphics representation. In addition, an interview was also conducted to confirm students? answer. This research finding shows that statistical reasoning of semester IV students of Mathematics Education whose statistics ability is poor belong to pre-structural level and whose statistics ability is high belong to multi-structural and relational level. The high skilled students could conclude the data with statistical reason even though they used informal terms. Students with multi-structural and relational level regard that variety is a standard showing the numbers of different data among others, not on the different value from the average. Students with relational reasoning level were able to generate graphics concluding by connecting the central tendency and distribution scale.
PENALARAN ANALOGI SISWA SMP TIPE CLIMBER DALAM MENYELESAIKAN MASALAH MATEMATIKA Novisa, Muniroh; 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.v5i2.13072

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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 problem, 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, 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.
TEACHERS EXPECTATION OF STUDENTS’ THINKING PROCESSES IN WRITTEN WORKS: A SURVEY OF TEACHERS’ READINESS IN MAKING THINKING VISIBLE As'ari, Abdur Rahman; Kurniati, Dian; 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 (876.323 KB) | DOI: 10.22342/jme.10.3.7978.409-424

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The trends of teaching mathematical thinking and the existence of two thinking skills (critical dan creative thinking) the required by 21st-century skills have created needs for teachers to know their students’ thinking processes. This study is intended to portray how mathematics teachers expect their students showing their thinking processes in students’ written work. The authors surveyed Whatsapp and Telegram group of mathematics teachers. First, the authors shared the result of the literature review and the governmental regulations about the need to develop thinking skills. Second, the authors stated that the potentials of students’ written works as a tool for knowing students’ thinking processes. Third, the authors sent a simple mathematical problem with the topic of algebra and asked the mathematics teachers how should their students answer that problem such that they can easily monitor and assess their students’ thinking processes. A total of 25 teachers participated voluntarily in this survey. Results of the survey were triangulated with direct trial data in lecture classes at both undergraduate and postgraduate levels. The result indicates that participating mathematics teachers do not expect too much for their students to show their thinking processes in written work. Teacher’s focus is mostly on the accuracy and the correctness of their students’ mathematics answer.
EXPLORING MATHEMATICAL REPRESENTATIONS IN SOLVING ILL-STRUCTURED PROBLEMS: THE CASE OF QUADRATIC FUNCTION Santia, Ika; Purwanto, Purwanto; Sutawidjadja, Akbar; 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 | DOI: 10.22342/jme.10.3.7600.365-378

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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (593.937 KB) | DOI: 10.22342/jme.11.1.9766.95-110

Abstract

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.
PEMAHAMAN SISWA TENTANG EQUAL SIGN DALAM MENYELESAIKAN TUGAS MATEMATIKA Sartati, Setiawan Budi; Subanji, Subanji; Sisworo, Sisworo
Jurnal Penelitian dan Pengkajian Ilmu Pendidikan: e-Saintika Vol 2, No 1: December 2018
Publisher : Lembaga Penelitian dan Pemberdayaan Masyarakat (LITPAM)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (433.105 KB) | DOI: 10.36312/e-saintika.v2i1.80

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[Title: The Students' Understanding of Equal Sign in Completing Mathematics Tasks]. This study aims to describe the student's understanding of the equal sign to solve mathematical tasks. This study was included in the qualitative descriptive study. In this study, the data collected is the data of students work and verbal data (the interview). The subjects were six students of 7th class of MTs Attariqie Malang 2014/2015 (Junior High School), with details of two high-ability students, two students capable of being, and two low-ability students. Students' understanding of the equal sign examined further by providing tests and interviews in six research subjects. Interviews were conducted individually after the students work on the problems individually. The mathematical task load arithmetic and algebra problems. Based on the results of the study, all subjects were able to understand the equal sign as operational and the equal sign as a substitution. For equal sign as the basic relational, only high-ability students were able to understand it. Understanding of medium and low student capable entrenched in the operational pattern that is an equal sign as operational cause confusion to understanding equal sign as the basic relational, eg, 14+11=25+8 where students only pay attention to the results of operations that 14 plus 11 is 25 without notice relation of the addition of 8.
ANALISIS KESALAHAN NEWMAN SISWA DALAM MENYELESAIKAN SOAL NILAI MUTLAK DAN SCAFFOLDING-NYA Budi, Bhakti Setya; Nusantara, Toto Nusantara; Subanji, Subanji Subanji; Susiswo, Susiswo Susiswo
Jurnal Pendidikan Matematika Undiksha Vol 11, No 2 (2020): Jurnal Pendidikan Matematika Undiksha
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v11i2.24732

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This study aims to describe the types of errors made by students in solving questions of absolute value and scaffolding based on the Newman error analysis stage. The research method used is descriptive qualitative method. The research subjects are students of class X MA Miftahul Huda Kepanjen. Sampling with purposive sampling technique. Data obtained from the results of student tests, interviews and the scaffolding process. Based on the results of the study there were 81.25% reading errors, while transformation errors were 37.5%, and process skills were 28.13%. From this research it can be concluded that the types of mistakes made by students are reading inaccuracies, comprehension errors, transformation errors, process skill errors and encoding errors. While the form of scaffolding conducted is explaining, reviewing, restructuring and developing conceptual thinking
Co-Authors 'Adna, Syita Fatih Abdul Haris Rosyidi Abdul Haris Rosyidi Abdur Rahman As’ari Abdur Rohim, Abdur Abdurrahim Arsyad Afin Nur Latifa Agung Prasetyo Abadi Agus Prianto Ahmad Farid Haebah Akbar Sutawidjadja Akbar Sutawidjaja Akbar Sutawidjaja, Akbar Alhikma, Nur Alaviyah Alif Mudiono Alip Rahmawati Zahrotun Nisak Alyani, Nabila Nur Amalia Silwana Ana Fitriah ANDRIANI, RULI Anggraini Dwi Ikhwani Anggraini, Elisa Anjali, I Gusti Agung Shomia Annisa Andika Karisa Ari Kusuma Sulyandari Aribowo, Bayu Exsanty Arif Rahman Hakim Arifah Adlina Rashahan Astuti, Ririn Novia Aulia Nadia Sari Barep Yohanes Bhakti Setya Budi Budi, Bhakti Setya Cholis Sa’dijah Chusnul Ma'rifah Chusnul Ma'rifah Daroini, Mustain Bagus Deni Hamdani Dian Kurniati Didimus Nuham, Didimus Dimas Femy Sasongko Dwiyana Dwiyana Dwiyana Dwiyana Dyah Ayu Pramoda Wardhani Dyah Triwahyuningtyas Dyah Triwahyuningtyas Edy Bambang Irawan Eka Resti Wulan Eko Waluyo Elli Kusumawati Endang Trinoviawati Erry Hidayanto Evidiasari, Serli Fadhil Zil Ikram Feriyanto Feriyanto Hamdani, Deni Hamdani, Deni Hery Susanto Hery Susanto Hidayati, Vivi Rachmatul I Ketut Suada I Made Sulandra I Nengah Parta Iffanna Fitrotul Aaidati Ika Santia Indah Syafitri T Indriati Nurul Hidayah Intan Sari Rufiana Ipung Yuwono Iqbal Ramadani Irawati, Santi Irna Natalis Sanit Ishmatul Maula, Ishmatul Ismatul Maula Jennah, Mufliatul Kadek Adi Wibawa Karolin Natalia T Khair Muhammad Sa'duddien Khair, Muhammad Sa'duddien Khalimatus Syuhriyah Laelinatul Choeriyah Laelinatul Choeriyah Laily Wijayanti Utami Lamowa, Rachmad Abubakar Lestary, Ratnah Lydia Lia Prayitno Lydia Lia Prayitno, Lydia Lia Makbul Muksar Malik, Fatus Atho'ul Manyunu, Muhamatsakree Martha Lestari Miftachus Sururoh Mohammad Dadan Sundawan Mufidha, Nurul Muhamatsakree Manyunu Muhammad Ainur Rizqi Muhammad Irfan Muhammad Irfan Muksar Makbul Muniroh Novisa Nabilah Mansur Nathasa Pramudita Irianti Nathasa Pramudita Irianti, Nathasa Pramudita Netti, Syukma Netti Syukma Ningtyas, Yoga Dwi Windy Kusuma Ninik Mutianingsih, Ninik Novi Nurhayati Novisa, Muniroh Nur Fitri Amalia Nur Hasan Nur Indah Permata Sari Nurul Mufidha Nury Azkiya Umamy Permadi, Hendro Punaji Setyosari Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto Purwanto, Purwanto Puspita Ayu Damayanti Putri Ariningtyas Putri, Nanda Azzahra Qohar, Abd. Rashahan, Arifah Adlina Refni Adesia Pradiarti Risa Utaminingsih Rizky Nova Damayanti Ruli Andriani Rustanto Rahardi Sandie Sartati, Setiawan Budi Satriya Adika Arif Atmaja Satriya Adika Arif Atmaja Sa’dijah, Cholish Selly Meinda Dwi Cahyaningsih Serli Evidiasari Serli Evidiasari Setiawan Budi Sartati Silwana, Amalia Sisworo Sri Mulyati Sri Mulyati Sri Subarinah Sri Untari Suci Yuniati Sudirman Sudirman Sudirman Sudirman Sukorianto Sukorianto Sukoriyanto Suryaningrum, Christine Wulandari Susiswo Sutawdjaja, Akbar Sutawidjadja, Akbar Swasono Rahardjo Swasono Raharjo Swastika, Galuh Tyasing Syamsiar, Syamsiar Syamsul Hadi Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri Syamsuri, Syamsuri Syarifudin Syarifudin Taufiq Hidayanto Tjang Daniel Chandra Toto Nusantara Umamy, Nury Azkiya Umardiyah, Fitri umi faizah Viving Laila Wahyu Santoso Wahyuningtiyas, Kharisma Wardhani, Indah Setyo Wasti Tampi Wasti Tampi Wulan Anindya Wardhani Yandi Raharjo, Eko Yanna Purwitaningsih Yoga Dwi Windy Kusuma Ningtyas Yoggy Febriawan Yundari, Yundari ‘Adna, Syita Fatih