scholarly journals PROFIL PEMAHAMAN MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH BERDASARKAN KEMAMPUAN MATEMATIKA DI SMK MUHAMMADIYAH 1 BARON

2021 ◽  
Vol 1 (4) ◽  
pp. 185-195
Author(s):  
ABDUR ROCHIM

Mathematics has a special characteristic that is an abstract object of study. Because of this specificity, learning mathematics requires mathematical understanding. Mathematical understanding in solving mathematical problems is different between each student. This difference is because each student has different mathematical abilities. The purpose of this study was to describe (1) the profile of mathematical understanding of students with high mathematics ability in solving problems (2) the profile of mathematical understanding of students with moderate mathematics ability in solving problems (3) the profile of mathematical understanding of students with low mathematics ability in solving problems. This research is a qualitative descriptive study with 3 students as the subject of class XI SMK Muhammadiyah 1 Baron. The selection of research subjects was based on students' mathematical abilities, namely high, medium and low mathematical abilities. Data collection techniques in this study using problem solving test techniques and interviews. The validity of the data used in this study used time triangulation. Based on the results of data analysis, the results showed that (1) The profile of mathematical understanding with high mathematical ability in solving quadratic function problems is the subject of reading the problem until it understands, writing correctly what is known and asked, conducting problem exploration appropriately, choosing the right problem solving strategy, looking for answers by doing algebraic calculations correctly and checking the answers back from the solutions obtained. (2) The profile of mathematical understanding with moderate mathematical ability in solving quadratic function problems is that the subject reads the problem until he understands, correctly states what is known and asked, skips problem exploration, looks for answers by doing algebraic calculations even though inaccurate answers are obtained and does not check answer back. (3) The profile of mathematical understanding with low mathematical ability in solving quadratic function problems is that the subject reads the problem until he understands, correctly states what is known and asked, skips problem exploration, looks for answers by doing algebraic calculations but gets inaccurate answers and does not check answer back. ABSTRAKMatematika memiliki karakteristik khusus yaitu objek kajian yang abstrak. Karena kekhususannya ini maka dalam mempelajari matematika diperlukan pemahaman matematis. Pemahaman matematis dalam menyelesaikan masalah matematika berbeda antar setiap siswa. Perbedaan ini dikarenakan setiap siswa memiliki kemampuan matematika yang berbeda. Tujuan penelitian ini adalah untuk mendeskripsikan (1) profil pemahaman matematis siswa berkemampuan matematika tinggi dalam menyelesaikan masalah (2) profil pemahaman matematis siswa berkemampuan matematika sedang dalam menyelesaikan masalah (3) profil pemahaman matematis siswa berkemampuan matematika rendah dalam menyelesaikan masalah. Penelitian ini merupakan penelitian deskriptif kualitatif dengan subjek penelitian kelas XI SMK Muhammadiyah 1 Baron berjumlah 3 siswa. Pemilihan subjek penelitian berdasarkan pada kemampuan matematika siswa yaitu kemampuan matematika tinggi, sedang dan rendah. Teknik pengumpulan data dalam penelitian ini menggunkan teknik tes pemecahan masalah dan wawancara. Keabsahan data yang digunakan dalam penelitian ini menggunakan triangulasi waktu. Berdasarkan hasil analisis data diperoleh hasil bahwa (1) Profil pemahaman matematis berkemampuan matematika tinggi dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menuliskan dengan benar apa yang diketahui dan ditanyakan, melakukan eksplorasi masalah dengan tepat, memilih strategi penyelesaian masalah dengan tepat, menacari jawaban dengan melalukan perhitungan aljabar dengan tepat serta melakukan pemeriksaan jawaban kembali dari solusi yang diperoleh. (2) Profil pemahaman matematis berkemampuan matematika sedang dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menyebutkan dengan benar apa yang diketahui dan ditanyakan, melewatkan eksplorasi masalah, menacari jawaban dengan melalukan perhitungan aljabar walaupun diperoleh jawaban yang kurang tepat serta tidak melakukan pemeriksaan jawaban kembali. (3) Profil pemahaman matematis berkemampuan matematika rendah dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menyebutkan dengan benar apa yang diketahui dan ditanyakan, melewatkan eksplorasi masalah, menacari jawaban dengan melalukan perhitungan aljabar namun diperoleh jawaban yang kurang tepat serta tidak melakukan pengecekan jawaban kembali.

2021 ◽  
Vol 10 (1) ◽  
pp. 328
Author(s):  
Naela Nur Azizah ◽  
Susiswo Susiswo ◽  
Sisworo Sisworo

Analytical thinking is an ability to observe objects thoroughly and solve facts comprehensively. This study is set to describe students' analytical thinking processes in solving mathematical problems, especially in quadratic functions. It employs a qualitative approach with qualitative descriptive research. The subjects in this study are one student with high mathematics ability, one student with medium mathematics ability, and one student with low mathematics ability of Tenth Grade of State Islamic Senior High School 3 Tulungagung. Data collection are carried out through task-based interviews. Meanwhile, data analysis technique are data reduction, data presentation, and conclusion Based on the results of data analysis and discussion, it is concluded that (1) The student with high mathematical ability pass several stages, namely differentiating, and organizing, he/he can solve the quadratic function problem properly according to the problem solving steps. (2) The student with medium mathematical ability can go through differentiating and organizing stages. But at the attributing stage, he/she are less able to solve problems based on the objectives.  (3) The student with low mathematical ability tends not to pass differentiating, organizing, and attributing analytical thinking stages. He/she are less able to solve quadratic function problems according to the solving steps.Keywords: Analytical thinking process; problem solving; quadratic functions


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 35-39
Author(s):  
Tri Wilfi Iqlima ◽  
Susanah Susanah

Analogy reasoning is the process of thinking logically and analytically in drawing conclusions based on the similarities between the two things being compared. The purpose of this study is to describe the analogy reasoning of students in solving mathematical problems in terms of high, medium, and low mathematical abilities. This research is a descriptive study with a qualitative approach. Data collection was carried out in class IX-H of SMP Negeri 5 Surabaya in the 2019/2020 school year by 33 students and each subject was selected for each category of mathematical ability. The results of the analysis of Problem Solving Tests and interviews show that students with high, medium, and low mathematical abilities mention information that is known and what is asked for logical reasons on the source and target problem, and explain the relations between the information. This indicates that each subject has an encoding process. Each subject also mentions and explains the concepts used to solve source problems, which means each subject has an inferring process. The difference is, subjects with high mathematical ability mention the same concepts between the source problem and the target problem and explain the concepts used to solve the target problem, then students can complete the target problem. This means that the subject is doing two other processes, namely mapping and applying. Subjects with medium mathematical abilities are mentioning the same concept between the source problem and the target problem but cannot explain the concept used in the target problem. However, the subject only did one of the two indicators in the mapping process, so the analogy reasoning process carried out by the subject was encoding and inferring. While students with low mathematical abilities are stopped in the encoding and inferring processes. Keywords: Analogy Reasoning, Mathematical Abilitiy


Gunahumas ◽  
2020 ◽  
Vol 2 (2) ◽  
pp. 357-386
Author(s):  
Yomi Chaeroni ◽  
Nizar Alam Hamdani ◽  
Akhmad Margana ◽  
Dian Rahadian

ABSTRAK Penelitian ini dilatarbelakangi oleh fakta bahwa kemampuan pemahaman dan kemampuan pemecahan masalah matematis merupakan salah satu kemampuan matematika tingkat tinggi yang harus dimiliki oleh setiap peserta didik. Selain itu kemampuan pemahaman dan kemampuan pemecahan masalah matematis jarang diterapkan dalam pembelajaran matematika di sekolah. Salah satu model pembelajaran yang dapat menjadi alternatif bagi pembelajaran matematika dan kemampuan pemahaman dan pemecahan masalah matematis adalah model pembelajaran IMPROVE. Penelitian ini bertujuan untuk mengetahui penerapan i-spring suite 8 pada model pembelajaran IMPROVE untuk meningkatkan kemampuan pemahaman dan pemecahan masalah matematis peserta didik. Metode penelitian yang digunakan adalah quasi eksperimen karena penelitian ini menggunakan satu kelas eksperimen dan satu kelas kontrol sebagai subyek penelitian. Cara pengambilan subjek penelitian yang digunakan adalah purposive sampling. Subjek penelitian dipilih sebanyak dua kelas dari keseluruhan peserta didik kelas XI SMA Muhammadiyah Banyuresmi tahun pelajaran 2019/2020. Dari hasil penelitian dan perhitungan statistik diperoleh kesimpulan: 1) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE; 2) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 3) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dibandingkan dengan peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 4) Tidak terdapat perbedaan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dan yang menggunakan model konvensional/direct instruction.Kata kunci: Kemampuan Pemahaman Matematis, Kemampuan Pemecahan Masalah Matematis, Model IMPROVEABSTRACT This research is motivated by the fact that the ability to understand and the ability to solve mathematical problems is one of the high-level mathematical abilities that must be possessed by every student. In addition, the ability to understand and the ability to solve mathematical problems are rarely applied in mathematics learning in schools. One learning model that can be an alternative for mathematics learning and mathematical understanding and problem solving abilities is the IMPROVE learning model. This study aims to determine the application of ispring suite 8 on the IMPROVE learning model to improve students' mathematical understanding and problem solving abilities. The research method used is quasi-experimental because this study uses one experimental class and one control class as research subjects. The method of taking the research subject used was purposive sampling. The research subjects were selected as many as two classes from all grade XI students of SMA Muhammadiyah Banyuresmi in the 2019/2020 academic year. From the results of research and statistical calculations conclusions: 1) There is an increase in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model; 2) There is an increase in the ability of understanding and solving mathematical problems of students who in learning use conventional learning models / direct instruction; 3) There is an increase in students' mathematical understanding and problem solving abilities in learning using i-spring suite 8 in the IMPROVE learning model compared to students in learning using conventional learning models / direct instruction; 4) There is no difference in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model and who use the conventional model / direct instruction.Keywords: Mathematical Understanding Ability, Mathematical Problem Solving Ability, IMPROVE Model


MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 110-120
Author(s):  
YULIANA DWI RAHMAWATI ◽  
Masriyah Masriyah

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities


2021 ◽  
Vol 9 (2) ◽  
Author(s):  
Ahmad Talib

This research is a qualitative research with descriptive method. This study aims to describe the ability to think creatively based on the type of student personality, the type of choleric personality in solving mathematical problems. The research subjects were students in the odd semester of class XII IPA 1 SMA Negeri 22 Makassar, the 2019/2020 school year. This subject was chosen by giving a personality questionnaire to students. The data was collected using a mathematical problem solving test instrument on the number sequence material and interviews. The validity of the data was checked by using the triangulation method. The results showed: Students with choleric personality in solving mathematical problems. In question number 1, the subject had difficulty in finding the formula for the nth term. But the subject kept trying and the spirit of trying until finally found the correct formula for the nth term. The subject of the choleric personality type is also said to be able to fulfill the three indicators of creative thinking, namely fluency, flexibility, and novelty. In question number 2, the subject had difficulty finding many ways to solve the problem and only met one indicator of creative thinking, namely fluency.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti

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


2018 ◽  
Vol 3 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Muhammad Irfan

Algebra is one of the most difficult material for students to understand, especially those experiencing math-anxiety. This study aimed to describe: (1) the thinking process of students who have high math-anxiety in solving mathematical problems according to Polya steps, (2) the thinking process of students who have low math-anxiety in solving mathematical problems according to Polya steps. Type this research is qualitative research with case study method. Sampling is done by purposive sampling technique. Subjects used in this study as much as two research subjects, namely: students who have high anxiety math, students who have low anxiety math. The instruments used to collect data are classification of anxiety level of mathematics learning, mathematics problem sheet, and interview guidance. The data validation test used is the triangulation test of time. In this study, researchers used a type of reflective and creative thinking to analyze the thinking process of the subject. The results show: (1) when understanding the problem, planning problem solving, running problem-solving plan, and re-examining answers, students experiencing high math-anxiety using reflective thinking process, (2) when understanding the problem and re-examining answers, students who experience low anxiety math using reflective thinking processes, while at the time of planning problem solving and running problem-solving plans, the subject engages in a process of reflective and creative thinking.


2018 ◽  
Vol 11 (2) ◽  
pp. 167-176
Author(s):  
. Lestariningsih ◽  
Siti Maghfirotun Amin ◽  
Agung Lukito ◽  
Moch Lutfianto

[English]: The purpose of this study is to explore the mathematization underpinnings of prospective mathematics teacher’s on mathematics problem solving. This study used explorative research with a qualitative approach. The instruments used in this study were mathematical ability test, contextual problems, and interview guidelines. A prospective mathematics teacher who has high mathematics ability involved in this study.The subject was selected from 56 prospective mathematics teachers through a test. After the subject solved contextual problems, an interview was conducted. The result revealed that the prospective mathematics teacher did mathematization when  solving the contextual problem by simplifying, solving in a structural way, and fitting to the context of the problem. This finding implies that mathematizationc ould reveal the way prospective mathematics teacher formulates contextual problems into mathematical problems. Keywords: Mathematization, Prospective mathematicsteacher,  Problem-solving, Contextual problems [Bahasa]: Tujuan penelitian ini adalah untuk mengeksplorasi matematisasi yang mendasari mahasiswa calon guru matematika dalam menyelesaikan masalah matematika. Penelitian ini menggunakan penelitian eksploratif dengan pendekatan kualitatif. Instrumen yang digunakan dalam penelitian ini adalah tes kemampuan matematika, masalah kontekstual, dan pedoman wawancara. Subjek penelitian adalah seorang calon guru matematika dengan kemampuan matematika tinggi yang dipilih dari 56 calon guru matematika dengan menggunakan tes kemampuan matematika. Setelah subjek penelitian menyelesaikan masalah kontekstual, dilakukan wawancara. Hasil penelitian menunjukkan bahwa mahasiswa calon guru matematika melakukan matematisasi yang sangat penting karena menyelesaikan masalah matematika dengan menyederhanakan masalah, menyelesaikan masalah secara terstruktur, dan diarahkan sesuai dengan konteks yang ada dalam masalah. Temuan dalam penelitian ini mengungkapkan bahwa melalui matematisasi dapat diketahui cara mahasiswa dalam merumuskan masalah kontekstual ke dalam soal matematis. Kata kunci: Matematisasi, Mahasiswa calon guru, Pemecaha masalah, Masalah kontekstual NB: PDF version of this article will be available in maximum two weeks after this publication


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 194-201
Author(s):  
Mochamad Yusuf ◽  
Rooselyna Ekawati

The decision making process is the individual steps in choosing an appropriate alternative choice from the various alternatives available to solve the problem. The purpose of this study is to describe the decision making process of high school students with high mathematical abilities in solving social arithmetic problems. The research approach used in this study is qualitative research. While the type of research is a qualitative descriptive study. The process of collecting data uses several instruments consisting of mathematics ability tests, social arithmetic problem solving tests, and interview guidelines. This research was conducted on 11th grade high school students in one of the state high schools in Sidoarjo. The subjects of this study consisted of one student with high mathematical abilities. The data collection method in this study began with the provision of mathematics ability tests for all students followed by selecting one subject with high mathematical ability through several considerations. The next step, the subject is given a problem solving test and interviewed to get the decision making process carried out by the subject. The results showed that students with high mathematical abilities carried out a series of activities in the stages of the decision making process, namely define the decision, understand the context, identify the options, prioritise the options, evaluate the consequences, review the decisions, and take actions.


2015 ◽  
Vol 1 (3) ◽  
Author(s):  
Warli Warli ◽  
Epa Yuliana

<p>This study aims to describe the increase in students' creativity in solving <br />mathematical problems and student response after learning the methods of what's another way. To achieve these objectives with the class action research conducted qualitative descriptive approach. Research subjects were students in grade VII SMP N Semanding, Tuban. Data collection techniques, to find out the creativity problem solving is done through task-based interviews. To study the response of students is done through questionnaire responses of students. Analysis of data creativity problem solving creativity refers to the three indicators, namely fluency, flexibility, and novelty. The results showed that subjects with good levels of mathematical ability, moderate and less intelligent, creativity in solving problems increased after the applied method of what's another way. The quality of students' creativity in solving the problem tends to be low. Being the response of students towards learning by using the "what's another way" is very positive. <br /> <br /><br /></p>


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