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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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Abstract

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.
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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Abstract

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.
REPRESENTATION TRANSLATION ANALYSIS OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING MATHEMATICS PROBLEMS Swastika, Galuh Tyasing; Nusantara, Toto; Subanji, Subanji; Irawati, Santi; 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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Abstract

This research aims at analyzing the representation translation of Junior High School students in solving mathematical questions related to algebra. This research used descriptive qualitative approach. The focus of representation translation used in this research was the external representation which was a verbal translation into diagram, verbal into symbolic, symbolic into diagram, diagram into symbolic, and diagram into verbal. Based on the analysis of research findings, it shows that representation translation of students from verbal, symbolic, and diagram into verbal and diagram was not really mastered by the students. Meanwhile, the representation translation into symbolic was frequently used by the students although they were expected to do other translation rather than symbolic.
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.
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.
Student’s thinking path in mathematics problem-solving referring to the construction of reflective abstraction Sopamena, Patma; Nusantara, Toto; Irawan, Eddy Bambang; Sisworo, Sisworo; Wahyu, Kamirsyah
Beta: Jurnal Tadris Matematika Vol. 11 No. 2 (2018): Beta November
Publisher : Universitas Islam Negeri (UIN) Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20414/betajtm.v11i2.230

Abstract

[English]: This article is a part of research which aimed to reveal the path of undergraduate students’ thinking in solving mathematical problems referring to the construction of reflective abstraction. Reflective abstraction is the process of thinking in constructing logical structures (logico-mathematical structures) by individuals through interiorization, coordination, encapsulation, and generalization. This article seeks to analyze a student with the simple closed path, as one of the two types of students’ thinking path found in the research, in solving limit problems. The thinking process of the student in solving mathematical problems occurred through the path of interiorization - coordination - encapsulation - generalization then to coordination - encapsulation - generalization. The path of the student’s thinking yields alternative to understand and marshal problem-solving activities in mathematics learning. Keywords: Thinking path, Limit problem, Reflective abstraction, Simple closed path [Bahasa]: Artikel ini merupakan bagian dari penelitian yang bertujuan mengungkap jalur berpikir mahasiswa dalam menyelesaikan masalah matematika berdasarkan konstruksi abstraksi reflektif. Abstraksi reflektif merupakan proses berpikir individu dalam membangun struktur logika (struktur matematis logis) melalui interiorisasi, koordinasi, enkapsulasi, dan generalisasi. Artikel ini akan menganalisis seorang mahasiswa yang memiliki jalur berpikir tertutup sederhan, salah satu dari dua jalur berpikir yang terungkap dalam penelitian, dalam menyelesaikan permasalahan limit. Proses berpikir mahasiswa dalam menyelesaikan masalah matematika berdasarkan konstruksi abstraksi reflektif dapat terjadi melalui jalur interiorisasi – koordinasi – enkapsulasi – generalisasi kemudian ke koordinasi – enkapsulasi – generalisasi. Hasil penelitian ini memberikan alternatif dalam memahami dan merancang aktivitas pemecahan masalah dalam pembelajaran matematika. Kata kunci: Jalur berpikir, Masalah limit, Abstraksi reflektif, Jalur tertutup sederhana
MATHEMATICAL MEANING IN MODELLING CONTEXT THROUGH THE ONTO-SEMIOTICS APPROACH Umam, Khoerul; Nusantara, Toto; Parta, I Nengah; Hidayanto, Erry
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 2 (2018)
Publisher : Universitas Negeri Malang

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Abstract

The main objective of this research will implement the onto-semiotics approach to analyse the conceptual of mathematical meaning in a modelling context corresponding to their use of the mathematical objects. Semiotics functions and mathematical object that emerged when solving mathematical modelling will be highlighted according to OSA. Students responses to modelling questions were used to classify the semiotics function that relates to the different mathematical objects.
The Effectiveness of Computational Thinking Based Learning (CTBL) and Problem Based Learning (PBL) Learning Models on Learning Achievements Reviewed From Brain Dominance Swasti Maharani; Toto Nusantara; Abdur Rahman As’ari; Abd.Qohar
Indian Journal of Forensic Medicine & Toxicology Vol. 15 No. 2 (2021): Indian Journal of Forensic Medicine & Toxicology
Publisher : Institute of Medico-legal Publications Pvt Ltd

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37506/ijfmt.v15i2.14458

Abstract

This study aimed to determine: (1) which one is more effective between Computational Thinking BasedLearning (CTBL) and Problem Based Learning (PBL) on learning achievement, (2) which one is better,students with left brain dominance or students with right brain dominance, (3) for each brain dominance,which one is better between CTBL and PBL. This study used a quasi-experimental research method witha 2x2 factorial design. The population in this study were all students of class VIII SMPN 1 Bendo in theAcademic Year 2020/2021, totaling 9 classes. The research sample included 45 students (two classes) whowere taken using cluster random sampling. The instrument used was a questionnaire on the students’ braindominance and a mathematics learning outcome test. From the results of this analysis, it can be concludedthat CTBL was more effective to implement compared to PBL in odd semester class eight students at SMP1 Bendo Magetan in the Academic Year 2020/2021. There were differences in the results of mathematicslearning achievement in students who were given CTBL and PBL in terms of the brain dominance of oddsemester class eight students at SMPN 1 Bendo Magetan in the Academic Year 2020/2021.
Syarat Perlu dan Cukup untuk Keterbatasan Potensial Riesz di Ruang Morrey Klasik Utoyo, Mohammad Imam; Widodo, Basuki; Nusantara, Toto; Suhariningsih, Suhariningsih
Jurnal Natur Indonesia Vol 14, No 3 (2012)
Publisher : Lembaga Penelitian dan Pengabdian kepada Masyarakat Universitas Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (294.722 KB) | DOI: 10.31258/jnat.14.3.227-229

Abstract

This script was aimed to determine the necessary conditions for boundedness of Riesz potential in the classical Morrey space. If these results are combined with previous research results will be obtained the necessary and sufficient condition for boundedness of Riesz potential. This necessary condition is obtained through the use of characteristic function as one member of the classical Morrey space.
COVID -19 : The Effects of Distance Learning in Indonesia based on a Commognitive Perspective Adika Setyo Budi Lestari; Toto Nusantara; Susiswo; Tjang Daniel Chandra; Nonik Indrawatiningsih
Indian Journal of Forensic Medicine & Toxicology Vol. 15 No. 3 (2021): Indian Journal of Forensic Medicine & Toxicology
Publisher : Institute of Medico-legal Publications Pvt Ltd

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37506/ijfmt.v15i3.15589

Abstract

Distance learning is a learning system that does not take place in one room and there is no face-to-face interaction between the teacher and the learner. This study aims to determine the impact of implementing distance learning in Indonesia from a commognitive point of view. This research is a descriptive type of research with a total of 543 participants who come from high school students in Pasuruan district, Indonesia. Data collection using a questionnaire. After the questionnaire is collected, it is analyzed using the Miles and Huberman method through reduction, display data, and conclusion, then it will be studied based on the commognitive theory. The results show that based on commognitive studies, students are more likely to still need a visual mediator as a visible object to be used as a communication medium, its realization depends on the material context. Students need to communicate to ask questions related to material that has not been understood. So it can be said that visual mediator is important during distance learning.