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All Journal Journal on Mathematics Education (JME) PEDULI: Jurnal Imiah Pengabdian Pada Masyarakat International Journal of Insights for Mathematics Teaching (IJOIMT)
As'ari, Abdur Rahman
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Humanities Education Mathematics Social Sciences

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SERIES OF ARGUMENTS ON PROCESSES OF CRITIQUES TO MATHEMATICAL PROBLEMS Nugroho, Bayu; Nusantara, Toto; As'ari, Abdur Rahman; Sisworo, Sisworo
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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Abstract

This study was initially based on the researcher?s interest in a case found in students as they responded mathematical problems provided in the form of critiques to a problem. The study aimed to explore the students? arguments to describe the students? thinking processes while they are giving critiques to a mathematical problem. The study was qualitative research in a case study involving one student as a subject of research.  The finding showed that the students used 4 series of arguments as the main reason to give critiques to the given problem. The critiques were delivered due to several factors consisting of; (1) the students? inability to discover appropriate strategies to deal with the given problems; (2) the personal experiences kept in a Long Term Memory, and (3) the fallacy on reasoning.
PROSPECTIVE TEACHERS CONCEPTION OF MATHEMATICAL CREATIVE THINKING Purwosetiyono, Fransiskus Xaverius Didik; Sa'dijah, Cholis; Hidayanto, Erry; Chandra, Tjang Daniel; As'ari, Abdur Rahman; Irawan, Edy Bambang
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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The purpose of this study was to describe the initial conception of prospective teachers about creative thinking in mathematics. This research used a qualitative research method. The Research was conducted at private universities in Semarang, held in the second semester of the academic year 2016/2017. The subjects were six students of the seventh semester. This research used two instruments; test to explore the concept of creative thinking and interview. This study provides findings that there are similarities in the concept of prospective teachers in mathematical creative thinking. The prospective teacher's conception of the creative thinking of mathematics leads to the emergence of new concepts or ideas in completing mathematical problems based on experience. The appearance of the new idea in question is to solve a different problem from the existing procedure and solve the problem with a different perspective that is still logical. The prospective teacher's said that it was necessary for prospective teachers to understand the concept of creative thinking in mathematics to solve mathematical problems from various perspectives based on his learning experience.
IMITATING FAILURES IN COMMUNICATING SOLUTION OF MATHEMATICAL PROBLEM SOLVING OF ELEMENTARY SCHOOL STUDENTS Lestari, Andika Setyo Budi; Nusantara, Toto; Irawan, Edy Bambang; Chandra, Tjang Daniel; 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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Abstract

Imitating performance is not a mediocre element, yet it is a unique ability possessed by humans. Researche concerning on imitating performance has been widely conducted in early childhood education and in adults educations. However, imitating performance studies related to elementary school context is rarely explored. This study was intended to figure out the imitating performance of 5th grade student. This study was analyzed qualitatively where the researcher involved in all stage of the research. The results of the research indicated that there were few imitating performance indicators that were not fullfiled. The students were not able to apply the examples in the new context, in other words the students had failed in applying the examples. Consequently, they faced difficulties in communicating the solutions of mathematical problems.  Instead of helping the students, the key words provide by a teachers make the students confuse in resolving different problems.
THINKING INTERACTION OF STUDENT IN SOLVING OPEN-ENDED PROBLEMS Sulandra, I Made; As'ari, Abdur Rahman; Subanji, Subanji; Syarifudin, Syarifudin; Purwanto, Purwanto; Irawan, Edy Bambang
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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Abstract

The purpose of this research is to describe the process of thinking interaction of students in solving the open-ended problem. The thinking interaction of students' in this study is defined as an activity of exchanging thoughts between students one with other students through communication to produce the suitability of the thinking process between them through the resolution of open-ended problems. This study was conducted on a group of junior high school students with heterogeneous capabilities, consisting of 5 students, and have taken the material to build space. The data of thought interaction activity is obtained from discussion result in solving open-ended problem analyzed by information processing theory. Students' thinking interaction activities begin from one subject person who gives statement and understanding about the problem provided. Activity mutual ideas, complement or give feedback to other subject's comments, ask questions that have not been understood, or give an explanation in deciding the answer to be agreed. Subsequent activities decide the answer orally to be written by each subject. All subjects poured the agreed result on the answer sheet, but there were still doubts from the two subjects on the answer, so the subject looked back at the answers from other subjects. Some subjects continue to write answers and in the end, each subject has a form of answer in accordance with their respective understanding.
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.
THE INFLUENCE OF TEACHER'S GESTURES TO STRENGTHENING THE UNDERSTANDING OF MATHEMATICS STUDENTS Syahrir, Nasrun Accung; As'Ari, Abdur Rahman
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 2, No 1 (2019)
Publisher : Universitas Negeri Malang

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This research examines about gestures that can be used in learning math in the classroom to strengthen the understanding of students of the material being taught teachers, in this article, I showed the evidence taken from the teacher and the student movement for proving that mathematics can be realized. This research is descriptive research with the kind of data analysis on the research of these video recordings of teachers who carry out learning and research subject processed there are 2 teachers from 5 teachers are observed. We present evidence for a student and a teacher produces gestures when they explain the concepts and ideas of mathematics. The results of this study suggested that gestures have the power so that children quickly understand and understand the learning delivered teacher, and any gestures each had a special movement such as; (a) strengthened understanding pointing gestures students through movement within the physical environment, (b) strengthen representational understanding gestures students through mental simulation, action and perception, and (c) empower students through writing movement action be evidence of permanent marks on a sheet of paper, a whiteboard or visual media. Thus, the teacher's gestures are very important because it can strengthen the understanding of students of material studied in class.
INVESTIGATING PRE-SERVICE MATHEMATICS TEACHER CRITICAL THINKING ABILITY Basri, Hasan; Purwanto, Purwanto; As'ari, Abdur Rahman; Sisworo, Sisworo
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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Abstract

This research aims at investigate the critical thinking ability of pre-service mathematics teacher at Madura University. The instrument used in this research was using the Watson-Glaser Test with the mathematics content. There was 48 pre-service teachers who participated as the subjects in this research. This research used statistic descriptive method to identify the profile of critical thinking ability of pre-service mathematics teacher. The scores from each sub-skill and the total score were calculated to identify the profile of critical thinking ability of pre-service mathematics teacher. Based on the data analysis, it was found out that the critical thinking ability of pre-service mathematics teacher was in the intermediate level, yet deduction sub-skill became the best pre-service mathematics teacher?s critical thinking ability and recognition of assumption skill became the lowest pre-service mathematics teacher?s critical thinking ability.
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

Abstract

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 THE EXPLANATION OF PRE-SERVICE TEACHER IN MATHEMATICS TEACHING PRACTICE Murtafiah, Wasilatul; Sa'dijah, Cholis; Chandra, Tjang Daniel; Susiswo, Susiswo; As'ari, Abdur Rahman
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 | Full PDF (371.813 KB) | DOI: 10.22342/jme.9.2.5388.259-270

Abstract

This study aims to describe the types of explanations made by pre-service teachers in mathematics learning. In this research, the types of explanations are used to describe the explanatory trends used by pre-service teachers in mathematics teaching. The descriptive qualitative research was chosen in this research. The research subjects are pre-service teacher as the students of Mathematics Education of PGRI Madiun University and Madura University who are studying Field Experience Practice. Of the 105 mathematics student, five students with a cumulative grade achievement of more than 3.50 were observed during the teaching practice at the school for approximately five meetings. The research data was obtained from observation, video recording, and interview. Data analysis was done through data condensation, data presentation, and conclusion/verification focused on pre-service teacher explanation on mathematics learning activity. The research findings indicate that the explanation used by the pre-service teacher in the mathematics learning starting from the most frequently used is the descriptive explanation (51,7%), giving of reason (36,2%) and interpretative (12,1%). Descriptive explanations are used to describe mathematical procedures. The type of reason-giving explanation is used to explain reasons based on mathematical principles. Furthermore, the interpretative explanation is used to explain the concepts and facts of mathematics.
COMPARING MODEL-BUILDING PROCESS: A MODEL PROSPECTIVE TEACHERS USED IN INTERPRETING STUDENTS’ MATHEMATICAL THINKING Sapti, Mujiyem; Purwanto, Purwanto; Irawan, Edy Bambang; As'ari, Abdur Rahman; Sa'dijah, Cholis; Susiswo, Susiswo; Wijaya, Ariyadi
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.
Co-Authors Ali Mahmudi Anwar Anwar Ariyadi Wijaya Bayu Nugroho Cholis Sa’dijah Dian Kurniati Dwiyana Dwiyana, Dwiyana Edy Bambang Irawan Erry Hidayanto Hasan Basri Hery Susanto I Made Sulandra I Nengah Parta Intan Sari Rufiana Ipung Yuwono, Ipung Lestari, Andika Setyo Budi Mujiyem Sapti Nuerlaelah, Elah Purwanto Purwanto Purwosetiyono, Fransiskus Xaverius Didik Sisworo Subanji Subanji Susiswo Syahrir, Nasrun Accung Syaiful Hamzah Nasution Syarifudin Syarifudin Tjang Daniel Chandra Toto Nusantara Wasilatul Murtafiah