scholarly journals TEKNIK POLYA DALAM PENYELESAIAN MASALAH GEOMETRI

Sigma ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 114
Author(s):  
Rahma Wahyu

This study aims to analyze the steps for solving mathematical problems by students' understanding of the geometric material in story problems based on the Polya technique. This research was conducted in one of the Islamic elementary schools in Batu City on six students in grade 6. The approach taken is to use a descriptive qualitative approach. The research was carried out using triangulation methods, namely observing the problem-solving process, interviews, and reviewing documents (students' work). Interviews in this study were conducted with several students, namely two high ability people, two low ability people, and two medium ability people. The analysis was carried out by concluding the data obtained based on the observations that have been made. The study results showed that the Polya technique showed different results on the results of solving the problems of each category of students in solving story problems about the area of squares and rectangles. Based on these results, it can be seen that students' understanding of the geometry material on the story problem.

2020 ◽  
Vol 7 (1) ◽  
pp. 1-10
Author(s):  
Mindo Hotmaida Sinambela

Each student has different abilities in problem solving, especially in story problems. Haji (1994: 13) suggests that questions that can be used to determine students' abilities in the field of mathematics study can take the form of story problems. The purpose of this research is to describe the ability of students to solve mathematical problems in solving comparative story problems based on Polya's steps. This research is a descriptive study using a qualitative approach. Three (3) subjects were taken from students of class VIIA at SMP Negeri 1 Wamena consisting of one high ability student, one medium ability student, and one low ability student. Retrieval of data taken by the test and interview methods. The test used was in the form of a description test of three (3) questions. Based on the research results obtained: the ability to solve mathematical problems in High Ability Students (SKT) can do all the problem solving comparative story problems based on Polya steps, while the Medium Ability Students (SKS) there are two questions that have not fully taken Polya's steps specifically implementing the completion plan and check again. For Low Ability Students (SKR) almost all the questions given cannot be solved using Polya steps.Keywords: Problem solving, Polya steps, comparison problems.


2018 ◽  
Vol 8 (1) ◽  
pp. 39-48
Author(s):  
Hari Pratikno ◽  
Endah Retnowati

General problem-solving steps consist of understanding the problem, developing a plan, implementing the plan and checking the result. The purpose of this study is to explore how well Indonesia junior secondary school students apply these four steps in solving mathematical problems, especially on plane geometry topics. Using a qualitative approach, with a sample of nine students, of which three students were from the low mathematics achievement category, three from the medium and three from the high category, were given a test and instructed to write the answers to each question step by step. The results were described and categorized into four groups. The first group consisted of students who used all of the four steps. The second and the third were for students who used the first three steps or the first two steps respectively. The fourth group was for those who could only show the first step. The study indicated that for this sample the level of mathematic ability corresponded to how the students applied their problem-solving steps. It was found that students with high ability were included in the first group, while those with moderate ability were in the second group. Low ability students were categorized into group four. Nevertheless, there was one student with high ability who did not to do the checking step and there was one student with low ability who was able to develop a plan.


1984 ◽  
Vol 15 (5) ◽  
pp. 342-351 ◽  
Author(s):  
John C. Moyer ◽  
Larry Sowder ◽  
Judith Threadgill-Sowder ◽  
Margaret B. Moyer

Eight story problems in a drawn format, eight matching problems in a verbal format, and eight matching problems in a telegraphic format were administered to 854 students in tests at each grade from 3 to 7. Scoring was based on the choice of correct operations to solve the problem. Readers of high ability, as measured by a reading test, chose correct operations more often than low-ability readers. The drawn format was easier than the other two formats. A significant format-by-reading-ability interaction revealed that the advantage of the drawn format was greater for low readers than for high readers.


2019 ◽  
Vol 2 (1) ◽  
pp. 9-14
Author(s):  
Arrahim Arrahim ◽  
Rika Sabrina

This research is motivated by the low ability to solve mathematical problems in fifth grade students of SDN Kaliabang Tengah 1 Bekasi Utara. Seen when researchers provide exercises in the description of mathematical problems in the form of stories on fraction material. There is still a lack of student knowledge regarding fractional material. When working on the story problem students simply add up or subtract the denominator by the denominator and the numerator by the numerator, without first equating the denominator. Students have not been able to solve problems correctly and many are still wrong. The lack of students' ability to infer results obtained from mathematical story problems. Enthusiastic students are lacking in solving mathematical story problems that are considered difficult. This study aims to improve the ability to solve mathematical problems using problem solving models in fifth grade students at SDN Kaliabang Tengah 1, North Bekasi. The research method uses Classroom Action Research (CAR) which consists of 3 cycles.. The conclusion of this study is the problem solving model can improve the ability to solve mathematical problems in fifth grade students at SDN Kaliabang Tengah 1 Bekasi Utara.


2019 ◽  
Vol 2 (1) ◽  
pp. 9
Author(s):  
LIA AWALUHUM ◽  
Ratna Sariningsih

This study aims to describe the mathematical communication skills of seventh grade students of West Bandung District Junior High School in understanding linear equations and one variable inequality. This type of research is qualitative research. Research subjects were selected based on even semester semester math report cards. Research subjects used in this study were 3 students selected from 15 students, namely one high-ability student, one moderate-capable student and one low-ability student. The results of this study were (1) Subjects with high ability in understanding Equation and the inequality of one variable reaches three indicators of mathematical communication ability that is to state mathematical problems related to Linear Inequality and Inequality One variable in the form of a story problem. stating the problem given in the form of mathematical models in the form of equations and solving them and stating a story problem into an idea or problem related to Equality and Inequality of one variable and can solve the problem, (2) Subjects with moderate ability to understand Equations and Inequality One variable reaches two indicators of mathematical communication ability, namely expressing mathematical problems related to equations and inequality of one variable in the form of story problems and expressing an image into an idea or mathematical problem related to linear equations and inequalities of one variable and the problem can be solved. And (3) Subjects with low ability in understanding Equations and inequality of one variable reach an indicator of mathematical communication ability which states mathematical problems related to linear equations and inequalities of one variable.


2020 ◽  
Vol 1 (2) ◽  
pp. 62
Author(s):  
Qorina Widadiyah ◽  
Khujaimah Khujaimah

This research aims to First, the application of the Sakamoto method to improve students' ability to solve story problems. Second, the results of applying the Sakamoto method to improve students' ability to solve story problems in mathematics. This study uses a qualitative approach to the type of Classroom Action Research (CAR) research with 2 (two) cycles. The subjects of this study were students of class III SDN Dukuh Sari I. Data collection techniques used were observation, interviews, documentation, and tests. Qualitative data consisting of observations, interviews and documentation are analyzed descriptively qualitatively, while data in the form of numbers or quantitative data are sufficiently analyzed using quantitative descriptive analysis. The results of data analysis after the application of the learning method with the Sakamoto method show that the application of this method can improve students 'ability to solve mathematical problems in the form of material questions, summation operations and reduction of counting numbers on mathematical subjects. The results show that there is evidence of an increase in students' ability to solve problems mathematics in the form of story problems. Abstrak Penelitian ini bertujuan untuk; Pertama, penerapan metode sakamoto untuk meningkatkan kemampuan siswa dalam menyelesaikan soal cerita. Kedua, hasil dari penerapan metode sakamoto untuk meningkatkan kemampuan siswa dalam menyelesaikan soal cerita dalam mata pelajaran matematika. Penelitian ini menggunakan pendekatan kualitatif dengan jenis penelitian Penelitian Tindakan Kelas (PTK) dengan 2 (dua) siklus. Subyek penelitian ini adalah siswa kelas III SDN Dukuh Sari I. Teknik pengumpulan data yang digunakan adalah observasi, wawancara, dokumentasi, dan tes. Data yang bersifat kualitatif yang terdiri dari hasil observasi, wawancara, dan dokumentasi dianalisis secara deskriptif kualitatif, sedangkan data yang berupa angka atau data kuantitatif cukup dianalisis dengan menggunakan analisis deskriptif kuantitatif. Hasil analisis data setelah penerapan metode pembelajaran dengan metode sakamoto menunjukkan bahwa penerapan metode ini dapat meningkatkan kemampuan siswa dalam menyelesaikan soal matematika yang berbentuk soal cerita materi operasi penjumlahan dan pengurangan bilangan cacah pada mata pelajaran metematika. Hasil menunjukkan bahwa terbukti adanya peningkatan kemampuan siswa dalam menyelesaikan soal matematika yang berbentuk soal cerita.


Author(s):  
Marita Cahya Purnama ◽  
Tri Yuniantari Redyoningrum ◽  
Liftahul Sekar Aji ◽  
Moh Salimi

<em>In mathematics, students' ability to solve problems is very much needed. Every student has different abilities. For this reason, it is necessary to conduct a research in order to find out the students' abilities in solving problems in mathematics, especially in fractional material. In researching, quantitative description is the method chosen by the researcher. In this study using a research instrument in the form of a test to measure students' ability to solve mathematical problems and conducted interviews. Data analysis of the results of mathematical tests about solving fractions of fifth grade students at SD Negeri 2 Kalirejo is in the high category. This is evident from the results of tests at SD Negeri 2 Kalirejo that included in the high category were 61.29%, moderate were 23.80% and the low and very low categories were 12.89%.</em>


2020 ◽  
Vol 3 (2) ◽  
pp. 87-93
Author(s):  
Siti Dwi Ifa Rochmawati ◽  
Junarti Junarti ◽  
Ifa Khoiria Ningrum

This article aims to determine the extent of the mathematical connection ability of the linear equations system of two variables in terms of the connection representation and procedural connections. This type of research uses a qualitative approach. This study's subjects were the students of class X MIPA 1 MA P2K Al Hidayah Lajukidul, which numbered 24 students. However, only six subjects were taken based on the level of mathematical connection ability high, medium, and low that had been selected by mathematics subject teachers based on students' ability to solve math story problems. The research instrument consisted of tests and interview questions. Data analysis techniques using the model of Miles and Huberman include data reduction, data presentation, and concluding. The study results showed that in question no. 1, all research subjects can represent connections and procedural connections, students can write mathematical symbols and answer questions using formulas correctly. In problem no.2, only the subject of high mathematical connection ability can connect representation and procedural connections. The other subject is not quite right in writing mathematical symbols. In question no.3, only subjects with low mathematical connection ability do not have representation and procedural connection skills; students only write what is known but is incomplete. In conclusion, the two-variable linear equation system's mathematical connection ability in terms of the connection representation and procedural connections are not evenly distributed.   Artikel ini bertujuan untuk mengetahui sejauhmana kemampuan koneksi matematis materi sistem persamaan linear dua variabel ditinjau dari koneksi representasi dan koneksi prosedural. Jenis penelitian ini menggunakan pendekatan kualitatif. Subjek penelitian ini adalah siswa kelas X MIPA 1 MA P2K Al Hidayah Lajukidul yang berjumlah 24 siswa tetapi hanya diambil 6 subjek berdasarkan tingkat kemampuan koneksi matematis tinggi, sedang, dan rendah yang telah dipilih oleh guru mata pelajaran matematika berdasarkan kemampuan siswa dalam menyelesaikan soal cerita matematika. Instrumen penelitian terdiri dari soal tes dan wawancara. Teknik analisis data menggunakan model Miles dan Huberman meliputi reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa pada soal  no. 1 semua subjek penelitian mempunyai kemampuan koneksi representasi dan koneksi prosedural, siswa mampu menuliskan simbol matematika dan menjawab soal menggunakan rumus dengan benar. Pada soal no.2 hanya subjek kemampuan koneksi matematis tinggi yang mempunyai kemampuan koneksi representasi dan koneksi prosedural, subjek yang lain kurang tepat dalam menuliskan simbol matematika. Pada soal no.3 hanya subjek kemampuan koneksi matematis rendah yang belum mempunyai kemampuan koneksi representasi dan prosedural, siswa hanya menuliskan apa yang diketahui tetapi tidak lengkap. Kesimpulannya kemampuan koneksi matematis materi sistem persamaan linear dua variabel ditinjau dari koneksi representasi dan koneksi prosedural belum merata.


2021 ◽  
Vol 2 (1) ◽  
pp. 1-12
Author(s):  
Asri Nur Aina ◽  
Siswidyanto Siswidyanto ◽  
Ainul Hayat

This article aimed to analyze the Government Policy in the process of implementing education to improve National Security at the Sebatik Island of Nunukan Regency. The author analyzed using Bardach’s Eightfold path to more effective problem solving which consists of defining the problem, assembling the evidence, constructing the alternatives, selecting the criteria, projecting the outcomes, confronting the trade-offs, deciding, and telling the story. This is a descriptive-type study with a qualitative approach. Study results shows that in Nunukan Regency, especially Sebatik Island that is considered as a Frontier, Outermost, and Underdeveloped region, which also lies at the border between Malaysia and Indonesia—haven’t been optimally carrying out policies on education implementation for improving national security. This was also proven by the number of schools that lack the necessary facilities and infrastructures, in addition to the curriculum that has yet to instil national security strengthening in schools and the lack of routine for nationalism-related activities given by the local government. Therefore, the local government should synergize with other parties, such as the Indonesian Army and education communities to improve national security in Sebatik Island while also strengthen the students’ sense of nationalism through accommodating school subjects on Indonesian nationality and culture.


2021 ◽  
Vol 1 (12) ◽  
Author(s):  
Winda Ratna Siswaningtyas ◽  
Tri Hapsari Utami

the aim this research is to know applying Team-Assisted Individualization (TAI) based Newman Stages can increase ability of students to solving mathematics world problems. Data collected with document analysis and observation with descriptive qualitative approach. The result shows that the number of students in high-ability increase 42,43 percent and the number of students in low-ability decrease 33%, group distribution based on prior-ability and characteristic of students, the teacher assist student getting into difficulty, groups of learning to fare well, reflection of learning can unbend misconseption of students, and the appreciation be a motivation of students in learning


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