scholarly journals Analysis of The Occurrence of Reversible Reasoning for Inverse Cases: A Case Study on The Subject Adjie

Author(s):  
Muhammad Ikram ◽  
Purwanto ◽  
I Nengah Parta

Background. Student reasoning in learning mathematics contributes significantly to the achievement of student mathematics learning outcomes. The main objective of this study is to investigate the process of reversible reasoning in students for inverse problems, in the case of Adjie (Ad). The research method used to reveal the reversible reasoning in Adjie's case using descriptive qualitative research methods. Sampling was carried out using purposive sampling technique where the research sample was selected based on reversible reasoning criteria. Retrieval research data uses the results of students' mathematical work, think aloud, interviews, and the components that cause reversible reasoning. The results of our study found that the process begins with an obstacle that causes Ad to be unable to continue the resolution process, resulting in a metacognition process by analyzing the problem again analytically and developing other heuristic strategies. Ad shows a change in perspective where he initially interpreted inverse as the act of swapping independent and dependent variables and switched to interpreting inverse as the opposite of a function process involving analogy and image representation. The contribution of this research provides knowledge that reversible reasoning can occur in understanding and solving mathematical problems in inverse material.

2015 ◽  
Vol 8 (1) ◽  
pp. 19
Author(s):  
Isna Rafianti ◽  
Etika Khaerunnisa

This research is motivated by the lack of interest of teachers in the use of props in the process of learning mathematics in elementary school. In accordance with the demands of the curriculum in 2013 and supported by the developed learning theory, learning mathematics is abstract object of study, students need an intermediary that props math-ematics, so that students can more easily understand the concepts that will be pre-sented, and in the end it can deliver students to solve mathematical problems, not only that proposed by the teacher but also the problems in life. The purpose of this study was to determine the interest of prospective elementary teachers on the use of props mathematics after getting lectures media and elementary mathematics learning model. By knowing the interest of prospective elementary teachers will be developed further realization of the state of the subject being studied. The method used is descriptive research, then the instruments used were questionnaires and interviews. The results of this study stated that the interest of prospective elementary teachers on the use of props after attending lectures media and elementary mathematics learning model is high over-all with a percentage of 76.70%.Keywords : Interest, Props Mathematics


2018 ◽  
Vol 5 (2) ◽  
pp. 58
Author(s):  
Sri Wigati

Student's enthusiasm and interest in learning mathematics are factors that influence learning outcomes. Where in the application of problem-based learning models on trigonometric material that aims to improve learning outcomes, but in the application process will also appear the activeness of students during the learning process takes place. This is intended to supplement the problem-based learning process in stages, including: understanding the problem, making a solution plan, implementing the plan, and reviewing the results obtained. From these stages there will also appear student activity and interest in the mathematics learning process which certainly contributes to learning outcomes. So the purpose of the study is to determine the effect of activeness and interest in student learning outcomes on trigonometry subjects through problem-based learning models. This research was designed using the One-Shot Case Study design. In this design there is only one group treated. The population in this study were all students of SMA Negeri 15 Semarang. With the sampling technique in this study using the Random sampling technique, obtained a sample of students in class X 7. The variables used are the activeness and interest of students and are learning outcomes. The results of the study concluded that there was a significant influence between activity and interest in learning outcomes with a significant effect of 81.8% in the implementation of problem-based learning models.


2020 ◽  
Vol 9 (1) ◽  
pp. 30
Author(s):  
Rohmatul Aulia Khairunnisa ◽  
Zia Nurul Hikmah ◽  
Ishaq Nuriadin

<p class="JRPMAbstractBody">This study aims to describe mathematical anxiety in solving students' mathematical problems. This type of research is qualitative research with a case study method. The subjects in this study consisted of 1 student who had a high level of anxiety. The technique of taking the subject is by using a purposive sampling technique. Data collection techniques using questionnaires, tests, and interviews. The instruments used were mathematical anxiety questionnaires, tests of mathematical problem-solving abilities, and interviews. The result shows that the subject has difficulty solving mathematical problems. It shows that the subject with high anxiety is not optimal in solving mathematical problem-solving problems. Thus, students with high anxiety need specific treatments or require the application of fun learning to optimize their mathematical problem-solving abilities</p>


Author(s):  
Ahmad Faris Alfiyansah ◽  
Annisa Fitriani ◽  
Hega Narimoati ◽  
Meli Handayani

In conducting students' learning activities that do not always work, there are often things that cause failure. The study aims to describe the difficulties students have experienced and to study the mistakes of the students in working on the tests in mathematics learning on the set subject. This type of research is a qualitative descriptive with a case study approach. Data collection techniques with problem instruments, interviews, and documentation. The legitimacy of data using technique triangulation. Data analysis through the data reduction phase, data presentation, and withdrawal of conclusions. The research was conducted with the subject of his research 30 students. The results showed that the type of difficulties experienced by students in the form of 1) difficulty in understanding the problem is the inability of the students to interpret the mathematical symbols on the subject of the set, 2) difficulty transforming that is the inability of students determining the set formula, 3) difficulty in the completion process is that students are not able to perform binary counting operations to solve the set problem. Then it can be concluded the types of difficulty learning mathematics that students experience in the subject of the association can be classified into 3 types, namely difficulty in understanding the problem, difficulty transforming the problem, and difficulty solving problems.


2019 ◽  
Vol 2 (1) ◽  
pp. 49-57
Author(s):  
Wantika Wantika ◽  
Sri Purwanti Nasution

This study is based on the problems that occur in mathematics subjects, where most of the content is abstract, not a few students who find it difficult to learn. This should receive special attention from several parties, such as teachers, school environment, guardians, and the environment. because the subjects of mathematics is one of the mandatory lessons that must be studied all levels of primary and secondary education. This study aims to describe learning difficulties in understanding the anxiety of learners on learning mathematics class X in SMA Muhammadiyah 1 Kotaagung Tanggamus District. In this study population of 37 students with sampling technique in this study using purposive sampling and random class. Data collection in this research is a field data record using documentation, observation, questionnaire, and interview. Learning difficulties can be interpreted as a condition in the learning process characterized by the presence of certain barriers to achieve learning outcomes. In this study more mangacu on the subject of anxiety learners who become obstacles in achieving the objectives of learning .. This research is a type of qualitative research and validity techniques in this study using time triangulation. Based on the results of data analysis and discussion of learning difficulties in understanding students in learning mathematics can be concluded that the factors that affect learning difficulties are physical and physical factors and external factors that are family and environmental factors. Anxiety of learners with low anxiety category is more noticeable and very passionate in mathematics learning compared to the other two categories namely medium anxiety category and high anxiety.


Author(s):  
Daswarman Daswarman

The aim of learning mathematics in universities is to improve students' mathematical abilities. One of the important mathematical abilities of students is understanding the concept. With an understanding of the concept, students will easily solve mathematical problems. This research is an experimental research design with One Group Pretest-Posttest Design. In the design of this study, researchers used one class as the subject of research. Before being given treatment, the pretest is first performed, then given treatment within a certain period, then given a posttest. The results showed that there was an increase in students' understanding of the concept after being given the application of the expository method.


2016 ◽  
Vol 1 (1) ◽  
pp. 43-52
Author(s):  
Sudirman

The purpose of this research is (1) analyze student’s concept in answering the association test, (2) analyze the concept of understanding  relationship  to  answer  the test depends on the student’s school origin.The method used in this research is qualitative with case study approach. In clustering sampling technique the subject was used in this research is 6 students, shared  in  3  groups.  They  are  2  students come from public vocational school, 2 students come from public senior high school and 2 students come from private senior high school and vocational school. Data was collected through test and interview.   Data   analysis   used   in   this research refers to Milles and Huberman in Moellong’s book; they are data reduction, data display and conclusion drawing. The result showed that the student’s understanding is various enough in answering the  set  test.  Depending on  the first subject analysis (S1) who came from private school, he did not understand about the concept of set. The second subject analysis (S2) and the third subject analysis (S3)  who  came  from  public  school,  they had understood. But, they need to be careful and patient to avoid the mistakes. The data which  had  gained from deeply interview, showed that the subject analysis (S1), (S2) and (S3) were able to indicate the relationship of school origin with the student’s concept of understanding within answering the set test.


2019 ◽  
Vol 4 (2) ◽  
pp. 117
Author(s):  
Berliana Henu Cahyani ◽  
Asmadi Alsa ◽  
Neila Ramdhani ◽  
Fakher Nabeel Khalili

Mathematics until today is still considered a difficult subject so that it needs to think about appropriate strategies to encourage students to be able to regulate themselves in learning this subject. This study aimed to test empirically the role of classroom management and mastery goal orientation towards self-regulated learning. The participants of the study were 177 students of state high schools in Sleman, who were selected using a purposive sampling technique. The scales used were self-regulation of mathematics learning scale, classroom management scale, and mastery goal orientation scale. The data analysis using two-predictor regression analysis showed that classroom management and mastery goal simultaneously played a significant role by 68.7% (R2=0.687, F (2.177) =191.243, p&lt;0.01). Classroom management predicted self-regulation (β= -0.130, p &lt; 0.01), and so did mastery goal (β= 0.878, p &lt; 0.01). Based on the results of this study, it could be concluded that self-regulation in learning Mathematics can be determined through classroom manage­ment and mastery goals concurrently.


2018 ◽  
Vol 37 (3) ◽  
Author(s):  
Nurul Ain Safura ◽  
Nyimas Aisyah ◽  
Cecil Hiltrimartin ◽  
Indaryanti Indaryanti

Abstract: This study aims to determine the ability of students in solving non-routine problems in learning mathematics in high school. The focus of the study is the ability of students in solving non-routine problems that include the value of objectism, value of control, value of mystery, value of progress, value of rationalism, and value of openness. The subject of this study was determined purposively, that was based on the diversity of answers. The selected subject was six students of class X SMA in Palembang. The data were collected using observation, test, and interview which were then analyzed descriptively. The results show that in general the ability of students in solving non-routine problems is dominated by the value of objectism, control, rationalism, and progress. The other two values which did not dominantly appear were mystery and openness. Keywords: mathematical value, non-routine problemNILAI MATEMATIKA (MATHEMATICAL VALUE) SISWA PADA PEMBELAJARAN MATEMATIKA MENGGUNAKAN SOAL NON RUTIN Abstrak: Penelitian ini bertujuan untuk mengetahui kemampuan siswa dalam menyelesaikan soal non rutin pada pembelajaran matematika di SMA. Fokus penelitian adalah kemampuan siswa dalam menyelesaikan soal non rutin yang meliputi nilai objektisme, nilai kontrol, nilai misteri, nilai kemajuan, nilai rasionalisme, dan nilai keterbukaan. Adapun subjek penelitian ini dipilih secara purposive, berdasarkan keberagaman jawaban. Subjek yang terpilih adalah enam orang siswa kelas X SMA di Palembang. Data dikumpulkan menggunakan observasi, tes, dan juga wawancara, yang kemudian di analisis secara deskriptif.  Hasil penelitian menunjukkan bahwa secara umum kemampuan siswa dalam menyelesaikan soal non rutin masih didominasi pada nilai objektisme, nilai kontrol, nilai rasionalisme, dan nilai kemajuan. Dua nilai lain yang tidak dominan muncul adalah nilai misteri dan nilai keterbukaan.Kata Kunci: nilai matematika, soal non rutin


2019 ◽  
Vol 4 (3) ◽  
pp. 19-26
Author(s):  
Widya Khairunisa ◽  
Asep Ahmad Sopandi

The purpose of this study is to describe and determine the learning design, learning implementation, learning evaluation, the obstacles encountered during learning also efforts to overcome these obstacles for children with dyscalculia in Elementary School 01 Limau Manis. In this research, researcher uses descriptive qualitative method. The subject in this study is mathematic teacher. In this study, researcher used observation , interview and documentation as the technique of data collection. Results obtained in this study are the design of learning mathematics which is consists of Lesson plan and syllabus in accordance with the curriculum. The implementation of mathematics learning carried out for seven hours in a week. The implementation of learning includes 3 phases namely introduction, core activity and closing activity. Learning evaluation is done after the lesson ended by a written test form. The preparation of the program teacher did not experiencing problems, but other Teacher's constraints came during the learning, namely classroom management, during the learning process there are students who pay attention and some of them are did not  pay attention. Teacher's effort to overcome these obstacles is giving more attention to their students.


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