Recall of Mathematical Problem Information: Solving Related Problems

1981 ◽  
Vol 12 (1) ◽  
pp. 54-64 ◽  
Author(s):  
Edward A. Silver
Keyword(s):  
Related Problem ◽  
Mathematical Problem ◽  
Transfer Effect ◽  
High Ability ◽  
Method Of Solution ◽  
Mathematical Problems ◽  
High Ability Students ◽  
Low Ability

This study examined Krutetskii's claim that high-ability students tend to recall information about the structure of mathematical problems they have solved, whereas low-ability students tend to recall, if anything, information about the problem's context. In general, the results supported Krutetskii's claim. The use of recalled information in the solution of related problems was also examined. A significant transfer effect was found, with respect to both performance and method of solution, from the solution and discussion of one problem to the solution of a structurally related problem.

scholarly journals ANALYSIS OF THE PROBLEM OF SOLVING THE PROBLEM IN COMPLETING THE PROBLEM OF THE STORY BASED ON THE STEPS OF THE PATTERN IN COMPARATIVE MATERIAL

2020 ◽  
Vol 7 (1) ◽  
pp. 1-10
Author(s):  
Mindo Hotmaida Sinambela
Keyword(s):  
Problem Solving ◽  
High Ability ◽  
Story Problems ◽  
High Ability Student ◽  
Interview Methods ◽  
Mathematical Problems ◽  
Almost All ◽  
High Ability Students ◽  
Ability Student ◽  
Low Ability

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.

scholarly journals HUBUNGAN KEMAMPUAN KOMUNIKASI MATEMATIK SISWA SMP DI KABUPATEN BANDUNG BARAT MENGENAI MATERI PERSAMAAN DAN PERTIDAKSAMAAN LINEAR SATU VARIABEL

2019 ◽  
Vol 2 (1) ◽  
pp. 9
Author(s):  
LIA AWALUHUM ◽  
Ratna Sariningsih
Keyword(s):  
Mathematical Problem ◽  
Linear Equations ◽  
High Ability ◽  
Research Subjects ◽  
Mathematical Communication ◽  
Story Problem ◽  
Mathematical Problems ◽  
Communication Ability ◽  
Ability Student ◽  
Low Ability

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.

scholarly journals Profil Kemampuan Koneksi Matematis Mahasiswa Calon Guru dalam Menyelesaikan Masalah Matematika Berdasarkan Taksonomi Solo

2020 ◽  
Vol 13 (1) ◽  
pp. 17-33
Author(s):  
Risma Firda Diana
Keyword(s):  
Mathematical Problem ◽  
High Ability ◽  
Education Students ◽  
Solo Taxonomy ◽  
Interview Guide ◽  
High Ability Students ◽  
Teacher Education Students ◽  
Descriptive Method ◽  
Mathematical Connection ◽  
Research Show

This research aims to describe profil of preservice teacher’s mathematical connection ability in solving mathematical problem based on SOLO taxonomy. The approach of this research is qualitative with descriptive method. Respondent in this research is 29 Madrasah Ibtidaiyah Teacher Education students STAI Al-Fithrah Surabaya. This research uses mathematical connection test and  interview guide to collect data. The result of this research show that the  average mathematical connection ability of high-ability students is 85% with a very good category and that is at the level of multistructural to relational, the  average mathematical connection ability of medium-ability students is 50,5% with enough category and that is at the level of unistructural to multistructural, and  the  average mathematical connection ability of low-ability students is 16% with a very low category and that is at the level of pre-structural until unistructural level.

scholarly journals How Indonesian Students Use the Polya’s General Problem Solving Steps

2018 ◽  
Vol 8 (1) ◽  
pp. 39-48
Author(s):  
Hari Pratikno ◽  
Endah Retnowati
Keyword(s):  
Problem Solving ◽  
Mathematics Achievement ◽  
Secondary School ◽  
General Problem ◽  
High Ability ◽  
School Students ◽  
Junior Secondary School ◽  
Junior Secondary ◽  
Mathematical Problems ◽  
Low Ability

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.

scholarly journals ANALISIS KEMAMPUAN MENELAAH DAN MEREVISI TEKS DESKRIPSI

2019 ◽  
Vol 10 (1) ◽  
pp. 16
Author(s):  
Sri Maryani ◽  
Bq Desi Milandari ◽  
Murti Sari Dewi
Keyword(s):  
Data Analysis ◽  
Data Collection ◽  
High Ability ◽  
Observation Methods ◽  
Quantitative Descriptive ◽  
High Ability Students ◽  
Descriptive Method ◽  
Low Ability

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemampuan menelaah dan merevisi teks deskripsi pada siswa kelas VII SMP. Objek dalam penelitian ini berjumlah 29 siswa. Metode pengumpulan data dalam peneltian ini terdiri dari metode observasi, metode tugas, dan metode dokumentasi. Analisis data menggunakan metode deskriptif kuantitatif dan hasil analisisnya disajikan dalam bentuk angka dan dijelaskan dalam suatu uraian dengan rumus Penilaian Acuan Patokan (PAP). Berdasarkan hasil penelitian maka diperoleh kesimpulan bahwa kemampuan menelaah dan merevisi teks deskripsi pada siswa tergolong normal, dengan rincian 41% siswa berkemampuan tinggi, 59% siswa berkemampuan sedang, 0% berkemampuan rendah, dan diperoleh IPK 65 yang berkisar antara 55 sampai dengan 65.Abstract: This study aims to describe the ability to review and revise the description text in class VII SMP students. The objects in this study were 29 students. The method of data collection in this study consisted of observation methods, task methods, and documentation methods. Data analysis uses quantitative descriptive method and the results of the analysis are presented in numerical form and explained in a description using the Standard Reference Assessment (PAP) formula. Based on the results of the study, it can be concluded that the ability to review and revise the description text in students is classified as normal, with the details 41% of high-ability students, 59% of students with moderate ability, 0% of low ability, and 65 GPA which ranges from 55 to 65.

scholarly journals ANALYSIS OF STUDENT ERRORS IN COMPLETING MATHEMATICAL PROBLEMS OF CLASS VIII CIRCLE MATERIALS IN SMP 1 WLINGI

2019 ◽  
Vol 6 (3) ◽  
pp. 255
Author(s):  
Mega Madila Rismawati
Keyword(s):  
Qualitative Research ◽  
High Ability ◽  
Data Presentation ◽  
Wide Circle ◽  
Mathematical Problems ◽  
Student Error ◽  
Class Viii ◽  
The Subject ◽  
High Ability Students ◽  
Research Type

This research aims to find out the type of student error in solving the problem of mathematics material in solving the problem of circle story and wide circle in class VIII SMP Negeri 1 Wlingi Blitar.Dalam this research type of research used is descriptive qualitative research. The subject of this study is the class VIII C MPN 1 Wlingi which amounted to 10 students who took the test.Teknik data collection in this study using written tests, interviews and documentation.Keabsahan data is done with reference materials and conduct checks members.Teknik data analysis is done with data reduction stages, data presentation, and verification or drawing conclusions. Students are grouped into three categories namely high-ability students, medium-skilled students and low-ability students. Each category is represented by one student. The results of this study are (1) The type of mistake made by a highly capable subject in solving soa l circle story and broad circle is a mistake of fact, error of concept and mistake of principle. (2) Types of moderate-ability students' mistakes are factual errors, concept errors and procedural errors. (3) Types of low-skill students' errors are fact errors, concept errors, procedural errors and principle errors

scholarly journals Analysis of students' thinking level in solving Pythagoras' theorem problems based on Van hiele's theory

2021 ◽  
Vol 4 (2) ◽  
pp. 124
Author(s):  
Sari Wulandari ◽  
Ali Syahbana ◽  
Tanzimah Tanzimah ◽  
Yilun Shang ◽  
Robert Weinhandl ◽  
...  
Keyword(s):  
Case Study Research ◽  
Pythagorean Theorem ◽  
Research Approach ◽  
High Ability ◽  
High Ability Student ◽  
Level Of Thinking ◽  
High Ability Students ◽  
Ability Student ◽  
Low Ability

The aims of this analysis are to explain the level of thinking of grade VIII students at SMP Negeri 1 Talang Ubi in solving Pythagorean Theorem questions based on Van Hiele's theory. The research approach used in this analysis is descriptive qualitative case study research. The subjects of this research were three students of grade VIII of SMP Negeri 1 Talang Ubi, South Sumatera Indonesia. The three students were chosen based on their test answers on the Pythagorean Theorem material, with one being a high-ability student, one being a medium-ability student, and one being a low-ability student. The study's data collection techniques included assessments, interviews, and documentation. Techniques for data processing include data reduction, data presentation, and conclusion. The findings revealed that high-ability students could complete all four stages of Van Hiele's thinking: imagination, interpretation, informal deduction, and deduction. Moderate students achieved three levels of Van Hiele's thinking, including visualization, analysis, and informal deduction, while low-ability students achieved only one level of Van Hiele's thinking, visualization.

scholarly journals TEKNIK POLYA DALAM PENYELESAIAN MASALAH GEOMETRI

Sigma ◽  
2021 ◽  
Vol 6 (2) ◽  
pp. 114
Author(s):  
Rahma Wahyu
Keyword(s):  
Elementary Schools ◽  
Problem Solving ◽  
Qualitative Approach ◽  
High Ability ◽  
Story Problems ◽  
Story Problem ◽  
Study Results ◽  
Mathematical Problems ◽  
Problem Solving Process ◽  
Low Ability

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.

scholarly journals ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA PADA MATERI HIMPUNAN BAGI SISWA KELAS VII SMP

2018 ◽  
Vol 1 (1) ◽  
pp. 60
Author(s):  
Annida Dwi Listiana ◽  
Sutriyono Sutriyono
Keyword(s):  
High Ability ◽  
Reading Error ◽  
Purposive Sampling ◽  
Story Problem ◽  
Reading Errors ◽  
Student Error ◽  
The Subject ◽  
High Ability Students ◽  
Low Ability

Abstrak: Penelitian ini bertujuan untuk mendiskripsikan analisis kesalahan siswa dalam menyelesaikan soal cerita pada materi himpunan bagi siswa kelas VII SMP N 1 Salatiga. Metode pengambilan subjek yaitu berdasarkan purposive sampling yan terdiri dari ketiga subjek. Berdasarkan hasil dan pembahasan dapat disimpulkan bahwa siswa berkemampuan rendah melakukan kesalahan di semua tahap yaitu, kesalahan membaca, kesalahan memahami soal, kesalaham transformasi, dan kesalahan keterampilan. Siswa bekemampuan sedang tidak melakukan kesalahan hanya pada tahap kesalahan membaca. Sedangkan, siswa berkemampuan tinggi hanya melakukan kesalahan transformasi dan kesalahan keterampilan.Abstract: This study aims to describe the analysis of student error in solving the story problem on the set material for students of class VII SMP N 1 Salatiga. The method of taking the subject is based on purposive sampling consisting of three subjects. Based on the results and discussion it can be concluded that the low-ability students make mistakes at all stages of reading errors, misconceptions, transformational errors, and skill mistakes. Student's ability not to make mistakes only at the stage of reading error. Meanwhile, high-ability students only make mistakes of transformation and skill mistakes.

scholarly journals KESULITAN BELAJAR SISWA SEKOLAH DASAR DALAM MENYELESAIKAN SOAL HOTS MATEMATIKA BERDASARKAN TEORI NEWMAN

2021 ◽  
Vol 6 (2) ◽  
pp. 43
Author(s):  
Fida Rahmantika Hadi
Keyword(s):  
Test Scores ◽  
Transformation Process ◽  
High Ability ◽  
School Students ◽  
Student Work ◽  
Descriptive Research ◽  
Mathematics Problems ◽  
Finishing Process ◽  
High Ability Students ◽  
Low Ability

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kesulitan belajar siswa sekolah dasar dalam menyelesaikan soal HOTS matematika berdasarkan Teori Newman. Penelitian ini merupakan penelitian dekriptif. Subjek dalam penelitian ini siswa kelas V SDN Gerih 1 Ngawi sebanyak 23 siswa. Data yang diperoleh berupa hasil tes soal uraian dan hasil dari wawancara siswa yang dianalisis secara kuaitatif. Hasil skor tes siswa dikelompokkan menjadi tiga terdiri dari siswa berkemampuan tinggi (nilai tes antara 86-100), siswa berkemampuan sedang (nilai tes antara 70-85), dan siswa berkemampuan rendah (nilai tes antara 0-69). Selanjutnya untuk wawancara, peneliti memilih secara purposive satu siswa dari masing-masing kategori yang sudah dikelompokkan. Hasil penelitian ini yaitu terdapat 4 siswa kemampuan tinggi, 10 siswa kemampuan sedang dan 9 siswa kemampuan rendah. Indikator kesalahan menurut teori Newman yaitu membaca, memahami soal, transformasi, keterampilan proses serta proses penyelesaian. Hasil pengerjaan siswa ditemukan adanya kesalahan yang berbeda-beda dari setiap subjek.THE DIFFICULTIES OF ELEMENTARY’S STUDENTS LEARNING IN COMPLETING HOTS MATHEMATICS  PROBLEMS BASED ON NEWMAN’S THEORYAbstract: This study aims to describe the learning difficulties of elementary school students in solving mathematics HOTS questions based on Newman's Theory. This research is a descriptive research. The subjects in this study were 23 students of class V SDN Gerih 1 Ngawi. Data in the form of test results and student interviews were analyzed qualitatively. The results of student test scores are grouped into three consisting of high-ability students (test scores between 86-100), medium-ability students (test scores between 70-85), and low-ability students (test scores between 0-69). Furthermore, for the interview, the researcher purposively selects one student from each of the grouped categories. The results of this study were 4 high-ability students, 10 medium-ability students and 9 low-ability students. Indicators of error according to Newman's theory are reading, understanding, transformation, process skills and finishing process. The results of student work found that there were errors that differed for each subject.

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