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

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.

2020 ◽  
Vol 3 (1) ◽  
pp. 77-100
Author(s):  
Antonia Dwi Raharti ◽  
Tri Nova Hasti Yunianta

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).


2020 ◽  
Vol 14 (2) ◽  
pp. 169-182
Author(s):  
Nurma Lestari ◽  
Ratu Ilma Indra Putri

This research is descriptive research that aims to describe how the ability of students' mathematical literacy in solving mathematical problems in the PISA model uses the Palembang context. The research subjects were 10th class in senior high school students. The data collection techniques used are written tests, observations, and interviews. The third technique is used to find out what mathematical abilities that arise when students work on mathematical problems in the PISA model using the Palembang context. There are seven mathematical abilities that emerge, such as 84% communication skills; 88,63% mathematical abilities; 100% representation ability; 68,21% reasoning and argument skills; 86,35% ability to choose strategies to solve problems; 70,45% ability to use symbolic, formal language, and techniques and operations; and 68,17% ability to use mathematics tools so that it can be concluded that the 10th class in senior high school students, who were the subjects of the study had mathematical literacy skills that were good enough.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 297-304
Author(s):  
Masyita Putri Firdausy ◽  
Abdul Haris Rosyidi

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.


Author(s):  
Anggi Yulihar And Nora Ronita Dewi

The study deals with the developing interactive media for senior high school students. The objective of this study is to find out how to develop interactive media for better speaking skill of senior high school students. The research was conducted by using Research and Development (R&D). The subject of this research was 2016/2017 students of the eleventh grade of Class XI IPA4 in SMAN 1 Batang Kuis. The number of the students was 30 students. The data of this study was collected by using need analysis questionnaire and experts’ judgment. Need analysis questionnaire was calculated by using percentage to get the information of students’ need before developing interactive media. Experts’ judgment was calculated by using likert data, mean and criteria interval of expert judgment to know the validity of interactive media which has been developed. After the data analyzed, it was found that the experts’ judgment result was 4.80 which had a very good criteria interval. The result of the research find that interactive media is a very good to be used in teaching speaking skill.


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