scholarly journals Profil Berpikir Aljabar Siswa SMP dalam Memecahkan Masalah Matematika Kontekstual Ditinjau dari Kemampuan Matematika

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

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 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.


2021 ◽  
Vol 17 (1) ◽  
pp. 134
Author(s):  
Sutama ◽  
Sofyan Anif ◽  
Sabar Narimo ◽  
Djalal Fuadi ◽  
Diana Purwita Sari ◽  
...  

The main target of the current study is to explain the metacognition of junior high school students with Field Independent (FI) and Field Dependent (FD) cognitive styles in mathematics problem-solving. It should be noted that the statistical population of this study was all junior high school students in the Sragen regency in the 2018/2019 academic year. To reach the research purpose, different instruments such as the cognitive style tests, the problem-solving exercises, and the interview guidance were used. Data analysis was carried out by data collection, data reduction, data presentation, and conclusion. The results indicated that the students who have field-independent cognitive style had high self-confidence that they were able to solve the problem correctly, able to do planning steps, able to make important decisions for themselves, so they can solve the problem properly. Students with FD cognitive style are completely confident that their answer is correct, but they have not yet clarified the steps they need to solve their problems and have not yet focused on their shortcomings in mathematics problem solving, so their task results in mathematics problem-solving incorrectness answer.   Keywords: Cognitive style; Mathematics problem solving; Metacognition


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