scholarly journals ANALYSIS OF STUDENTS’ STATISTICAL REASONING IN SOLVING NON-ROUTINE PROBLEMS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 30-34
Author(s):  
Dinda Amalia Rahmah ◽  
Rini Setianingsih
Keyword(s):  
High School ◽  
High School Students ◽  
Mathematical Ability ◽  
Statistical Reasoning ◽  
School Students ◽  
Statistical Process ◽  
Ability Test ◽  
Reasoning Test ◽  
Level 1 ◽  
Level 2

Statistical reasoning is needed by students to understanding statistical concepts and problems. Students’ efforts in understanding statistical information and problems often involve statistical process, namely the process of organizing and reducing data and the process of analyzing and interpreting data.  This research is descriptive study with qualitative approach that aims to analyze and describe the senior high school students’ statistical reasoning in solving non-routine problems. The subjects in this study were three high school students of grade XII who have same sex and have equivalent mathematical abilities. The instruments used in this study consisted of the Mathematical Ability Test (MAT), the Statistical Reasoning Test (SRT), and interview guidlines. The results showed that students who have low mathematical ability are also reach low level in statistical reasoning. In solving problem related to process of organizing and reducing data, the students reached level 1 and level 2 in statistical reasoning, because the students determine the mode value using incorrect concepts and ways, that are input the data to the mode formula incorrectly, determining the mode value of data which are presented in the frequency distribution table just by looking at frequency column, and cannot combine and sort the data in percent form correctly. In solving the problem related to the process of analyzing and interpreting data, the students reached level 1 in statistical reasoning, because they cannot interpret the tendency of two data groups, so the response which are given is incorrect. Keywords: statistics, statistical process, statistical reasoning.

scholarly journals IDENTIFIKASI KESALAHAN MATEMATIKA SISWA SMP BERDASARKAN TAHAPAN KASTOLAN

2020 ◽  
Vol 3 (1) ◽  
pp. 77-100
Author(s):  
Antonia Dwi Raharti ◽  
Tri Nova Hasti Yunianta
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
School Students ◽  
Descriptive Research ◽  
Technical Errors ◽  
Level 3 ◽  
Qualitative Descriptive ◽  
Level 1 ◽  
Level 2

The study aims to identify kinds of high school students’ misrepresent in doing their tasks and to provide the appropriate scaffolding as a solution to help the students. This is a qualitative descriptive research. The research subject consists of three junior high school students who have different abilities in Mathematics. They were selected out of 92 students. This research studied the conceptual errors, procedural mistakes, and students’ technical mistakes in working on the problems based on the stages of Kastolan mistakes and the scaffoldings given. Furthermore, the data were collected by using the way of testing, interviewing and documenting techniques. The research data were guarantee validated with the triangulation method. The result of the research showed that there were some errors done by the students in doing the tasks. They were the conceptual errors, procedural mistakes, and technical errors. The scaffoldings given to help the students do the tasks for Level 1 (environmental provisions), Level 2 (explaining, reviewing dan restructuring), and Level 3 (developing conceptual thinking).

scholarly journals PROFILE OF OPEN-ENDED PROBLEM SOLVING BASED ON POLYA’S STEPS VIEWED FROM MATHEMATICAL ABILITY LEVEL OF JUNIOR HIGH SCHOOL STUDENTS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 402-411
Author(s):  
Safirah Viki Amalina ◽  
Rooselyna Ekawati
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
Ability Level ◽  
School Students ◽  
Ability Test

Problem solving is one of several important abilities a student must have. Problem solving is a planned process that mustbe done in order to get a certain solution of a problem that is not obtained immediately. One type of problem studentsmust solve is an open-ended problem. Open-ended problem solving for every student is certainly different from oneanother. The level of mathematical ability of students is one of the factors that influence these differences. This type ofresearch is a qualitative descriptive with the purpose to describe the profile of open-ended problem solving based onPolya’s steps viewed from mathematical ability level of junior high school students. Three students from grade VII arethe subjects in this research (one student having high mathematical ability, one student having moderate mathematicalability, and one student having low mathematical ability). This research uses instruments mathematical ability test, openended problem solving test, and interview guidelines. The results showed there were differences in the open-endedproblem solving profile on students with high, moderate, and low mathematical ability. Student with high mathematicalability can carry out all the steps of Polya’s problem solving. Student with moderate mathematical ability are able to carryout the step of understanding the problem, devising a plan, carrying out the plan, however there are indicators that are notfulfilled at looking back’s step they are using the other way to solve the problem and make conclusion. Student with lowmathematical ability can not show the adequacy of the data at understanding the problem’s step and can not carry out thesteps of devising a plan, carrying out the plan and looking back.

scholarly journals KARAKTERISTIK INTUISI SISWA SMP DALAM MEMECAHKAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Ability ◽  
School Students ◽  
Ability Test ◽  
Mathematics Ability ◽  
Mathematical Problems

The purpose of this study is to describe the intuition characteristics of junior high school students in solving mathematical problems viewed from mathematical abilities. This research based on qualitative descriptive study. The subjects of this study were taken from Lab School UNESA  Junior High School, which consisted of three students from class VIII A, namely one student with high, moderate,  and low mathematical ability. The method that used to collect data consists of the mathematical ability test,  problem solving test and so of the interview method. Data analysis uses the intuitive characteristic indicators at each stage of the problem solving. The conclusion of this study indicate that student with high mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with moderate mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with low mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of perseverance and coerciveness, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Keywords: Intuition, Problem solving , Mathematics ability

scholarly journals PROFIL PENYELESAIAN SOAL TRIGONOMETRI DITINJAU DARI KEMAMPUAN MATEMATIKA

2018 ◽  
Vol 7 (2) ◽  
pp. 273-284
Author(s):  
Vina Budiarti ◽  
Lestariningsih Lestariningsih
Keyword(s):  
High School ◽  
Qualitative Research ◽  
High School Students ◽  
Problem Solving ◽  
Mathematical Ability ◽  
School Students ◽  
Ability Test ◽  
Mathematics Ability ◽  
Main Instrument ◽  
Ability Student

AbstrakTujuan dari penelitian ini adalah mendiskripsikan profil penyelesaian soal persamaan trigonometri siswa SMA kelas XI ditinjau dari kemampuan matematika. Jenis penelitian ini adalah jenis penelitian kualitatif. Penelitian ini dilaksanakan di SMA Negeri 1 Wonoayu. Subjek penelitian ini adalah 3 siswa kelas XI, yaitu: 1 siswa berkemampuan matematika tinggi, 1 siswa berkemampuan matematika sedang, dan 1 siswa berkemampuan matematika rendah. Instrumen pendukung yang digunakan dalam penelitian terdiri dari: 1. Tes kemampuan matematika untuk pemilihan subjek; 2. Tes menyelesaikan soal; 3. Wawancara yang diajukan pada masing-masing kategori siswa untuk mengetahui keabsahan dari jawaban yang telah dikerjakan. Hasil penelitian menunjukkan bahwa: profil penyelesaian soal persamaan trigonometri siswa SMA kelas XI di SMA Negeri 1 Wonoayu ditinjau dari kemampuan matematikanya, siswa yang memiliki kemampuan matematika tinggi mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan, siswa yang memiliki kemampuan matematika sedang belum mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan (siswa berkemampuan matematika sedang mampu memenuhi 5 indikator saja), siswa yang memiliki kemampuan matematika rendah tidak mampu menyelesaikan soal dengan memenuhi semua indikator secara keseluruhan. AbstractThe purpose of this study was to describe the profile of problem solving in trigonometry equations of high school students of class XI based  mathematics ability. This type of  research is qualitative research. This research was conducted at SMA Negeri 1 Wonoayu. The subjects of this study are 3 students of class XI, namely: student with high mathematics ability, student with moderate mathematics ability, and student with low mathematics ability. The main instrument is the researchers and the supporting instruments used in the study consist of: 1. Mathematics ability test; 2. solving problem test; 3. Interview guideline. The results showed that profile of problem solving trigonometry equations of high school students of class XI in SMA Negeri 1 Wonoayu viewed from the mathematical ability, student who has high mathematics ability to solve the problem by fulfilling all the indicators as a whole, students who has moderate mathematics ability is not yet able to solve the problem by meeting all indicators overall (math-capable students are able to meet only 5 indicators), student who has low mathematics ability is not able to solve the problem by meeting all indicators overall.

Analysis the proportional reasoning abilities of senior high school students in solving mathematical problems

2019 ◽  
Vol 5 (2) ◽  
pp. 110-122
Author(s):  
Dhuwi Novita Sari ◽  
Helti Lygia Mampouw
Keyword(s):  
High School ◽  
High School Students ◽  
Senior High School ◽  
School Students ◽  
Reasoning Abilities ◽  
Mathematical Problems ◽  
Level 3 ◽  
Level 1 ◽  
Level 2 ◽  
Senior High School Students

Penelitian ini bertujuan untuk menganalisis kemampuan penalaran proporsional siswa SMA dalam memecahkan masalah matematika. Subjek pada penelitian deskriptif kualitatif ini adalah 3 siswa kelas X SMA Negeri 2 Salatiga berkemampuan matematika tinggi. Instrumen utama adalah peneliti sendiri, didukung oleh instrumen tes dan pedoman wawancara. Data hasil tes dan wawancara dianalisis menggunakan langkah reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa ketiga subjek memiliki kemampuan penalaran proporsional yang berbeda dalam memecahkan masalah matematika. Kemampuan penalaran proporsional subjek S cenderung berada pada level 1 dengan menunjukkan strategi menggunakan gambar dan membuat perbandingan kualitatif. Kemampuan penalaran proporsional subjek F cenderung berada pada level 2 dengan menunjukkan strategi menghubungkan model melalui perhitungan numerik, menggunakan unit komposit, dan menggunakan penalaran kuantitatif. Kemampuan penalaran proporsional subjek M cenderung berada pada level 3 dengan menunjukkan strategi menggunakan cara formal dan mengetahui hubungan invarian dan kovarian. Ketiga subjek menunjukkan kemampuan penalaran proporsional pada level 0 dalam memecahkan masalah yang memerlukan perbandingan aditif dan multiplikatif dengan hanya menggambarkan situasi perubahan dalam pandangan aditif.

scholarly journals The Profile of Horizontal and Vertical Mathematization Process of Junior High School Student with High Mathematical Ability in Solving Contextual Problem of Fraction

2020 ◽  
Vol 3 (2) ◽  
pp. 52
Author(s):  
Muhammad Ahsanul Amala ◽  
Rooselyna Ekawati
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Structured Interview ◽  
Mathematical Ability ◽  
High Ability ◽  
School Students ◽  
Ability Group ◽  
Ability Test

Knowing the mathematization process was important for teacher. In solving problem, students were using their mathematization process. This research aimed to describe the horizontal and vertical mathematization process of junior high school students with high mathematical ability in solving contextual problem of fraction. This research was descriptive qualitative research. The research subjects was determined by mathematical ability test (TKM). Thirty four students of chosen class were given mathematical ability test (TKM). Then, they were divided into three groups based on the ability which were high ability, medium ability, and low ability group. Researcher took one subject from high ability group to be research subject. Then, researcher gave the profile mathematization process test (TPPM). The semi-structured interview was utilized to invstigate the answered of TPPM. The result of this research were: the high mathematical ability subject passed through all of activity in horizontal mathematization such as; identified the mathematical concept that is relevant to the problema; represented the problem in different ways; found the relations between problem language and the formal mathematic symbol; found the regularities, relations, pattern in problem; transfered the problem into mathematical model. The high mathematical ability subject also passed through all of activity in vertical mathematization such as; used the variety of different representation; used symbols, language, and formal mathematical process; made adjustments and development of mathematical models, combined, and united various models; created a mathematical argument; and generalized.

scholarly journals MATHEMATICAL JUSTIFICATION OF SENIOR HIGH SCHOOL STUDENTS IN STATISTICS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 297-304
Author(s):  
Masyita Putri Firdausy ◽  
Abdul Haris Rosyidi
Keyword(s):  
High School ◽  
High School Students ◽  
School Students ◽  
Mathematical Concepts ◽  
Level 3 ◽  
Level 1 ◽  
The Difference ◽  
The Right ◽  
Mathematical Justification ◽  
Level 2

Justification is the process of justifying a claim that is supported with evidence. Justification is the center of mathematics. Justification plays an important role in learning because it can help students improve understanding of mathematical concepts. By using a qualitative approach, this study aims to analyze the mathematical justification of high school students in solving problems on statistical topics. This research was conducted on 122 high school students by giving justification test questions on the topic of statistics resulted in 17% (21 students) included in the level justification level 3, 16% (19 students) included in level 2, 47% (47 students) included in level 1, and 20% (25 students) the rest are included in level 0. Further analysis was carried out to see the mathematical justification process by each level. The mathematical justification process consists of three stages, 1) the process of recognition; 2) the development process (building-with), and 3) understanding (awareness) process. Level 3 and level 2 students can recognize the problem and determine the right strategy to solve the problem, level 3 and level 2 students are also able to execute the strategy and interpret the results of the calculations they have done. The difference in level 3 and level 2 students lies in the understanding the concepts they have. Level 1 students can recognize problems and determine solution strategies. Although level 1 students can recognize and do calculations well, level 1 students fail in interpreting the results of calculations performed. While students who are level 0 are not able to recognize the problem, so level 0 students do not carry out the justification process.

scholarly journals The Pseudo Thinking Profile of Senior High School Students In Solving Mathematical Problems Reviewed from Mathematical Ability

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 172-184
Author(s):  
Ni Komang Hesti Tri Widari ◽  
Susanah Susanah
Keyword(s):  
High School ◽  
High School Students ◽  
Mathematical Concept ◽  
Mathematical Ability ◽  
School Students ◽  
Mathematics Ability ◽  
Ability Tests ◽  
Mathematical Problems ◽  
The Individual ◽  
Thinking Errors

In solving problems, students often experience thinking errors, one of which is pseudo thinking. Pseudo thinking is errors of thinking, wherein the individual process of solving a problem it is not the result of real thinking. Mistakes of thinking like this need attention and must be immediately addressed so as not to impact on students' understanding of the next mathematical concept. This study is a descriptive exploratory with a qualitative approach, aims to describe and explore the pseudo thinking profile of high school students with different mathematical abilities. The subjects in this study consisted of, one with high mathematical ability, one with moderate mathematical ability, and one with low mathematical ability. Data collection techniques were carry out by giving mathematics ability tests (TKM) and interviews. Data analysis was perform based on pseudo-thinking indicators (pseudo-right thinking and pseudo-wrong thinking). It was found that, subjects with high mathematical ability tend to be able to experience pseudo-right thinking and pseudo-wrong thinking. Subjects with moderate mathematical ability tend to be able to experience pseudo-right thinking, while subjects with low mathematical ability tend to be able to experience pseudo-wrong thinking.aKeywords: thinking mistakes, pseudo thinking, problem-solving, mathematical ability

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