scholarly journals PROFIL PENYELESAIAN SOAL TRIGONOMETRI DITINJAU DARI KEMAMPUAN MATEMATIKA

2018 ◽  
Vol 7 (2) ◽  
pp. 273-284
Author(s):  
Vina Budiarti ◽  
Lestariningsih Lestariningsih

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.

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


MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 402-411
Author(s):  
Safirah Viki Amalina ◽  
Rooselyna Ekawati

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.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 172-184
Author(s):  
Ni Komang Hesti Tri Widari ◽  
Susanah Susanah

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


2017 ◽  
Vol 6 (1) ◽  
pp. 37 ◽  
Author(s):  
Julita Julita

This study is aimed to examine the quality of quantum learning imfluence toward the enhancement of mathematical problem solving ability of Senior High School students, both viewed entirely and based on mathematical initial ability (MIA) category.  In particular, this study is aimed to examine enhancement difference of students’ mathematical problem solving ability in a whole and in each level of mathematical initial ability (high, medium and low) between students who receive quantum learning and students who receive conventional learning. This study use experimental quasi with pretests-posttest control group design.  Population of this study are Senior High School students in Bogor City. Data is obtained through problem solving ability test and mathematical initial ability data. The result of study showed that students who receive quantum learning have enhancement of mathematical problem solving ability which is higher than students who receive conventional learning. There is no difference enhancement of mathematical problem solving ability both entirely and in each level of mathematical initial ability, except for students with high level of initial mathematical ability


2017 ◽  
Vol 6 (1) ◽  
pp. 37 ◽  
Author(s):  
Julita Julita

This study is aimed to examine the quality of quantum learning imfluence toward the enhancement of mathematical problem solving ability of Senior High School students, both viewed entirely and based on mathematical initial ability (MIA) category.  In particular, this study is aimed to examine enhancement difference of students’ mathematical problem solving ability in a whole and in each level of mathematical initial ability (high, medium and low) between students who receive quantum learning and students who receive conventional learning. This study use experimental quasi with pretests-posttest control group design.  Population of this study are Senior High School students in Bogor City. Data is obtained through problem solving ability test and mathematical initial ability data. The result of study showed that students who receive quantum learning have enhancement of mathematical problem solving ability which is higher than students who receive conventional learning. There is no difference enhancement of mathematical problem solving ability both entirely and in each level of mathematical initial ability, except for students with high level of initial mathematical ability


1991 ◽  
Vol 38 (9) ◽  
pp. 38-43
Author(s):  
Shelley Kriegler

Would you like to integrate geometric relationship, scale drawings. graphing, patterns, and logical thinking into a unit that requires problem solving and cooperation among students? Would you like a three-to-five-day lesson plan that requires a minimum of preparation on your part and maximum involvement by students? Would you like activities that seem to be enjoyed by upper elementary. middle, and high school students regardless of mathematical ability? Then lessons on tangrams are for you!


2020 ◽  
Vol 3 (2) ◽  
pp. 15-21
Author(s):  
Harfin Lanya ◽  
Moh. Zayyadi ◽  
Septi Dariyatul Aini ◽  
Haris

This study aims to describe and analyze the written mathematical communication of high school students on linear program questions based on gender. This research was conducted at SMAN 3 Pamekasan class XI MIPA I. The subjects in this study were 2 students out of 32 students of class XI MIPA I who were the superior class of mathematics selected by purposive sampling. This research uses descriptive research with a qualitative approach. The instruments used were Mathematics Ability Test, written Mathematical Communication Test and Interview Guidelines. Data were analyzed descriptively in the form of qualitative data obtained from the results of the Written Test to describe students' written mathematical communication. The results showed that female students were more dominant than male students in the cognitive domain and completed written math problems in full.


Author(s):  
Muhammad Ahsanul Amala ◽  
Rooselyna Ekawati

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.


2019 ◽  
Vol 1 (2) ◽  
pp. 103
Author(s):  
Dewi Rosikhoh ◽  
Liny Mardhiyatirrahmah ◽  
Abdussakir Abdussakir

Metacognition has a key position on problem solving in mathematics. Metacognition is thinking about what they think. This research is qualitative research purposing for identifying of students metacognition level on matematics problem solving based on their quatity juzs of Quran memorized. The subjects of this research is three students who are in 12th grade in Senior High School. Students metacognition level is identified through test and indicator of metacognition level. The result of research show that metacognition level of Senior High School students taking in level of aware use, semi strategic use and semi reflective use. The student who has less than 10 juzs in Quran memorized is in aware use level. The student who has 10 until less than 20 juzs in Quran memorized is in semi strategic use level. The student who has 20 until 30 juzs in Quran memorizing is in semi reflective use level. Based on this reasearch, researchers conclude that the more juzs memorized, the higher level that students get.


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.


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