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

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.


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.


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.


MATHEdunesa ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 477-484
Author(s):  
Siti Laiyinun Yusrina ◽  
Masriyah Masriyah

Algebra is one of the important concepts in mathematics and began to be taught in class VII of junior high school. One way to find out students' thinking and reasoning abilities algebraically is to algebraic thinking. Algebraic thinking is a mental activity consisting of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. The means that can be used to explore students' algebraic thinking is problem solving. The problem used in this research is contextual mathematical problems. Algebraic thinking in each student in solving contextual mathematical problems varies based on the level of mathematical abilities. The purpose of this research is to describe the algebraic thinking’s profile of junior high school students in solving contextual mathematical problems based on mathematical abilities. This research uses a qualitative approach with methods of collecting data through tests and interviews. The subjects of this research were one student with high mathematical abilities, one student with medium mathematical abilities, and one student with low mathematical abilities. The results of this research indicate algebraic thinking of student with high mathematical abilities, consists of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. Algebraic thinking of student with medium mathematical abilities, consists of generalization, abstraction, dynamic thinking, modeling, analytic thinking, and organization. Algebraic thinking of student with low mathematical abilities, consists of generalization, dynamic thinking, and organization.Keywords: algebraic thinking, problem solving, contextual mathematical problems, mathematical abilities


2018 ◽  
Vol 1 (5) ◽  
pp. 1025
Author(s):  
Puri Nur Aisyah ◽  
Siti umi Nur Khasanah ◽  
Anik Yuliani ◽  
Euis Eti Rohaeti

This study aims to determine the ability of solving mathematical problems of junior high school students in Kabupatan West Bandung with indicators of students' mathematical problem solving abilities that are used to identify known elements, questioned and adequacy of elements, selecting and implementing strategies to solve mathematical problems, interpret the results according to the initial problem , making a mathematical model of a situation or everyday problem, using mathematics meaningfully. This research was conducted to 31 students in one of Junior High School in Ngamprah Village, West Bandung Regency using qualitative descriptive method. Instruments used in the form of 5 items about students' mathematical problem solving abilities on the material quadrilateral and triangle with interviews to students. The conclusion of this research is the ability of mathematical problem solving of junior high school students in Ngamprah Village is still low.


Author(s):  
Muhammad Royani ◽  
Winda Agustina

This study purpose to determine the ability of students to use Polya’s step in solving mathematical problems through Problem Based Learning. This study used a quantitative approach with a total sample, as many as 26 students of 7th grade of Junior High School 2 Kusan Hulu student. Problem Based Learning activities held in four meetings and two tests. The test results were analyzed based on the Polya’s problem solving steps, calculated with the percentage in each step. The results showed that the ability of junior high school students to use Polya’s steps in solving mathematical problem through Problem Based Learning was: 1) ability to understand problems at 83.80%, 2) ability to plan problem solving at 71.42%, and 3) ability to do counting at 75.61%.


2016 ◽  
Vol 3 (1) ◽  
pp. 76 ◽  
Author(s):  
Novferma Novferma

Penelitian ini bertujuan untuk mendeskripsikan letak, jenis, faktor-faktor kesulitan, dan self-efficacy siswa SMP swasta di Kabupaten Sleman, DIY dalam memecahkan masalah matematika berbentuk soal cerita. Penelitian ini termasuk penelitian survei dengan pendekatan kuantitatif dan kualitatif. Subjek penelitian adalah 124 siswa SMP swasta di Kabupaten Sleman, DIY yang berasal dari empat sekolah dengan kategori tinggi, sedang, dan rendah. Sampel penelitian ditentukan dengan stratified proportional random sampling technique. Instrumen yang digunakan berupa tes diagnostik terdiri atas 5 butir soal, angket self-efficacy, dan pedoman wawancara. Hasil penelitian menunjukkan bahwa kesulitan siswa dalam pemecahan masalah matematika berbentuk soal cerita terletak pada pengetahuan faktual, pengetahuan konseptual, pengetahuan prosedural, dan pengetahuan metakognitif. Jenis kesulitan yang dialami siswa yaitu pada mengingat fakta, mengingat konsep, memahami fakta, memahami konsep, menerapkan konsep, menerapkan prosedur, menganalisis prosedur, mengevaluasi faktual, mengevaluasi konsep, mengevaluasi prosedur, dan mengomunikasikan metakognitif. Faktor-faktor kesulitan yang dialami siswa SMP dalam memecahkan masalah matematika berbentuk soal cerita kelas VIII yaitu siswa merasa waktu yang diberikan tidak cukup, mudah menyerah, kurang teliti, sering lupa, merasa cemas, dan siswa tergesa-gesa untuk mengerjakan soal. Self-efficacy dari 124 siswa berada dalam kategori tinggi dengan rata-rata sebesar 90,4.Kata Kunci: analisis kesulitan siswa, self-efficacy, pemecahan masalah matematika, soal cerita AN ANALYSIS OF DIFFICULTIES AND SELF-EFFICACY OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING STORY FORM MATHEMATICAL PROBLEMS AbstractThis research aimed to describe the positions, types, difficulty factors, and self-efficacy of junior high school students in Sleman, DIY in solving story form mathematical problems. This study was survey research using the quantitative and kualitative approach. The subjects of this research were 124 students of private junior high schools in Sleman, DIY, which were from four different school groups in the high, middle, and low categories. The sample was established using the stratified proportional random sampling technique. The instruments which were used namely diagnostic test that consisted of 5 items, self-efficacy questionnaire, and interview guides. The results indicate that students’ difficulties in solving story form mathematical problems lie on factual knowledge, conceptual knowledge, procedural knowledge, and metacognitive knowledge. The types of difficulties experienced by students include remembering fact, remembering concept, understanding facts, understanding concept, applying concept, applying procedure, analyzing procedure, evaluating fact, evaluating concept, evaluating procedure, and communicating metacognitive. Difficulty factors that grade VIII students experience in solving story form mathematical problems include: students feel that the time given is not enough, easily give up, are not meticulous enough, oftenly forget, and are anxious and impatient while solving the problems. The self-efficacy of 124 students can be categorized as high with an average score of 90.4.Keywords: analysis of students’ difficulties, self-efficacy, mathematics problem solving, story problem.


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