Representasi Matematis Siswa SMP Berkemampuan Tinggi dalam Menyelesaikan Soal Matematika

Abstrak Representasi matematis digunakan siswa ketika menghadapi soal matematika yang harus mereka selesaikan. Hal ini karena representasi matematis merupakan bentuk ungkapan ide yang ditampilkan siswa dalam bentuk yang beragam dalam situasi tertentu sebagai upaya menemukan solusi dari soal yang dihadapi. Rendahnya pemahaman siswa terhadap soal yang diberikan kemungkinan besar disebabkan oleh siswa yang tidak mampu menggunakan reprentasi matematis dengan benar. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif yang bertujuan untuk mendeskripsikan representasi matematis siswa SMP, khususnya siswa berkemampuan tinggi dalam menyelesaikan soal matematika. Subjek penelitian ini merupakan salah satu siswa kelas VIII SMP 10 Nopember Sidoarjo yang dipilih berdasarkan tes kemampuan matematis. Hasil deskripsi data menunjukkan bahwa dalam menyelesaikan soal, siswa berkemampuan matematika tinggi cenderung menggunakan representasi visual untuk menyelesaikan masalah, membuat persamaan matematis atau ekspresi matematis, serta menjawab permasalahan dengan menggunakan kata-kata atau teks tertulis dengan hasil penyelesaian soal sebagian besar benar. Abstract Mathematical problems that they must solve. This is because mathematical representation is a form of expression of ideas displayed by students in various forms in certain situations in an effort to find solutions to the problems faced. The lack of students' understanding of the questions given is most likely due to students who are not able to use mathematical representation correctly. This research is a descriptive study with a qualitative approach that aims to describe the mathematical representation of junior high school students, especially students with high ability in solving math problems. The subject of this research is one of the eighth grade students of SMP 10 November Sidoarjo selected based on a mathematical ability test. The results of the data description show that in solving problems, students with high mathematical abilities tend to use visual representations, make mathematical equations or mathematical expressions, and answer problems by using written words or text with the results of solving problems mostly correct.

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Analisis Penalaran Adaptif Siswa dalam Memecahkan Masalah Matematika Berdasarkan Adversity Quotient (AQ)

Indonesian Journal of Mathematics and Natural Science Education ◽

10.35719/mass.v1i2.32 ◽

2020 ◽

Vol 1 (2) ◽

pp. 121-129

Author(s):

Fatati Saniyyah ◽

Illah Winiati

Keyword(s):

High School Students ◽

Junior High School ◽

Mathematical Representation ◽

School Students ◽

Ability Test ◽

Mathematical Expressions ◽

Eighth Grade Students ◽

Mathematical Problems ◽

Mathematical Equations ◽

Math Problems

Penalaran adaptif merupakan salah satu keterampilan matematika yang perlu dikuasai siswa dalam pembelajaran di sekolah. Jika siswa memiliki penalaran adaptif yang baik, maka siswa lebih mudah dalam memecahkan masalah matematika. Dalam memecahkan masalah matematika, setiap siswa mempunyai respon yang berbeda-beda. Respon tersebut dinamakan Adversity Quotient (AQ). Penelitian ini bertujuan untuk mendeskripsikan penalaran adaptif siswa dalam memecahkan masalah matematika berdasarkan AQ. Jenis penelitian ini adalah deskriptif kualitatif dengan subjek penelitian sebanyak enam siswa. Metode pengumpulan data yang digunakan meliputi pemberian angket ARP (Adversity Response Profile) untuk mengelompokkan siswa berdasarkan tipe AQ, tes penalaran adaptif (TPA) untuk mengetahui penalaran adaptif siswa dalam memecahkan masalah matematika dan wawancara untuk memperoleh informasi yang lebih jelas terkait penalaran adaptif siswa. Adapun proses analisis data yang digunakan meliputi reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa dalam memecahkan masalah matematika, siswa dengan AQ quitter hanya mampu memenuhi satu indikator penalaran adaptif yaitu menyusun dugaan. Siswa dengan AQ camper mampu memenuhi empat indikator penalaran adaptif yaitu menyusun dugaan, merencanakan dan menyelesaikan masalah matematika, menilai kebenaran jawaban dari suatu permasalahan serta memberikan jawaban dengan penarikan kesimpulan. Sedangkan siswa dengan AQ climber mampu memenuhi semua indikator penalaran adaptif, yaitu menyusun dugaan, merencanakan dan menyelesaikan masalah matematika, memberikan penjelasan terkait prosedur yang digunakan, menilai kebenaran jawaban dari suatu permasalahan serta memberikan jawaban dengan penarikan kesimpulan. Mathematical problems that they must solve. This is because mathematical representation is a form of expression of ideas displayed by students in various forms in certain situations in an effort to find solutions to the problems faced. The lack of students' understanding of the questions given is most likely due to students who are not able to use mathematical representation correctly. This research is a descriptive study with a qualitative approach that aims to describe the mathematical representation of junior high school students, especially students with high ability in solving math problems. The subject of this research is one of the eighth grade students of SMP 10 November Sidoarjo selected based on a mathematical ability test. The results of the data description show that in solving problems, students with high mathematical abilities tend to use visual representations, make mathematical equations or mathematical expressions, and answer problems by using written words or text with the results of solving problems mostly correct.

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MATHEMATICAL REPRESENTATION ABILITY OF JUNIOR HIGH SCHOOL STUDENTS ON SURFACE AREA OF CUBE AND CUBOID

Prima Jurnal Pendidikan Matematika ◽

10.31000/prima.v5i1.2769 ◽

2021 ◽

Vol 5 (1) ◽

pp. 72

Author(s):

Nurani Mardhiyatul Gina ◽

Nia Jusniani ◽

Hedi Budiman

Keyword(s):

High School Students ◽

Surface Area ◽

Family Environment ◽

Junior High School ◽

Mathematical Representation ◽

School Students ◽

Ability Test ◽

Problem Situations ◽

Written Test ◽

Math Problems

Students still have difficulty in solving contextual math problems. It is because students are not used to solving problems using diverse mathematical representations. The representation can make it easier for students to solve abstract math problems. This study aims to determine and identify the types of errors and factors made by students in mathematical representation ability test questions. This study's subjects were 20 students of class VIII-H at SMPN 1 Cugenang on the Surface Area of Cube and Cuboid. The method used is qualitative. The process of collecting data is observation, written test, interview. The results showed that the level of students' mathematical representation ability based on indicators: (1) was 41% on the indicator using visual representations to solve problems and make geometrical drawings to clarify problems and facilitate resolution, (2) by 64% on indicators of problem-solving by involving mathematical expressions, (3) 61% of indicators create problem situations based on data or representations given. Furthermore, based on the analysis of students' answers in tests on a matter of mathematical representation ability, students making mistakes that are data errors, using definitions or theorems, and technicalities. Factors causing students to make mistakes are forgetfulness, lack of accuracy, learning difficulties, family environment.

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Evaluasi Proses Berpikir Kreatif Berdasarkan Model Wallas Bagi Siswa SMP Dalam Menyelesaikan Masalah Matematika

Al-Jabar Jurnal Pendidikan Matematika ◽

10.24042/ajpm.v8i1.1083 ◽

2017 ◽

Vol 8 (1) ◽

pp. 1

Author(s):

Mujib Mujib

Keyword(s):

High School ◽

High School Students ◽

Junior High School ◽

Creative Thinking ◽

Junior High ◽

Junior High School Students ◽

School Students ◽

Ability Test ◽

Thinking Process ◽

Math Problems

It is difficult for junior high school teachers to position and nurture their students who are still in transition in creative thinking when solving math problems. This study evaluates students' creative thinking process based on Wallas model (2014). The four stages of the creative thinking process according to Wallas include the preparatory, incubation, illumination, and verification phases. The purpose of this study is to describe the creative thinking process of students based on their basic ability level in solving math problems. This research applies giving test of geometric crater thinking ability by looking at homogenous student in kemampuandan interview for deepening. Subjects of junior high school students who categorized on the ability of high, medium, and low after the ability test. Variable of this research is the existence of junior high school students in solving math problems. By using qualitative descriptive method, data is analyzed through classification stage, data representation, and conclusion. In order to complete the results of data groupings used interview techniques to perform data triangulation. The results showed 1) there were 23.33% of students not complete and only reached the preparation stage, called the low category category; 2) there are 60% of students reach the illumination stage even though to this stage students take a long time, called the middle category category; And 3) 16.67% of students have been completed until the verification stage, called the high category category. Based on the deepening of the triangulation of the interviews, the students are correct in that category. For students with low and medium capability categories still require assistance when experiencing barriers to their creative thinking process, while high ability category students need enrichment material

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KARAKTERISTIK INTUISI SISWA SMP DALAM MEMECAHKAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽

10.26740/mathedunesa.v9n1.p155-161 ◽

2020 ◽

Vol 9 (1) ◽

pp. 155-161

Author(s):

Anam Brammanto Satriyo Pamuji ◽

Pradnyo Wijayanti

Keyword(s):

High School ◽

High School Students ◽

Problem Solving ◽

Junior High School ◽

Junior High ◽

Mathematical Ability ◽

School Students ◽

Ability Test ◽

Mathematics Ability ◽

Mathematical Problems

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

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The Ability of Mathematical Representation of Junior High School Students on Circle Material Based on Gender Differences

Jurnal Daya Matematis ◽

10.26858/jdm.v8i2.13946 ◽

2020 ◽

Vol 8 (2) ◽

pp. 137

Author(s):

Rena Soviana ◽

Sugeng Sutiarso ◽

Nurhanurawati .

Keyword(s):

High School ◽

Gender Differences ◽

High School Students ◽

Junior High School ◽

Visual Representations ◽

Junior High School Students ◽

Mathematical Representation ◽

Research Subjects ◽

School Students ◽

Mathematical Expressions

Mathematical representation is the ability to express ideas or definitions raised by the students when solving problems. At now, most students have difficulties in the ability of mathematical representation. The difficulty of this mathematical representation needs to be analyze the causes, including analysis based on gender differences. This type of research is a qualitative study which aims to systematically describe the ability of mathematical representation based on gender differences. The subjects of the study was grade IX students at SMP Negeri 4 in Natar, South Lampung. Research subjects numbered 31 people, consisti of 16 boys and 15 girls. Data was collected through tests and observations, and data were analyze descriptively based on 3 indicator levels, namely visual representations, mathematical expressions or similarty, and written words or texts. The results showed that there were differences in representation when viewed regarding gender, where girls make more representation than boys.

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Profil Kemampuan Representasi Matematis Siswa SMP ditinjau dari Self Efficacy

Phenomenon Jurnal Pendidikan MIPA ◽

10.21580/phen.2020.10.2.6627 ◽

2020 ◽

Vol 10 (2) ◽

pp. 220

Author(s):

Rina Dwi Setyawati

Keyword(s):

High School Students ◽

Junior High School ◽

Self Efficacy ◽

Mathematical Representation ◽

School Students ◽

Efficacy Data ◽

Ability Test ◽

School Year ◽

Analysis Technique ◽

High Representation

ABSTRAKPenelitian ini bertujuan untuk mengetahui profil kemampuan representasi matematis siswa SMP ditinjau dari self efficacy. Jenis penelitian ini merupakan penelitian kualitatif deskriptif. Subjek yang di ambil adalah 3 siswa kelas IX di SMP Negeri 2 Kaliwungu semester gasal tahun ajaran 2020/2021 yang masing-masing mempunyai self efficacy tinggi, self efficacy sedang, dan self efficacy rendah. Pengumpulan data yang dilakukan yaitu dengan skala self efficacy, tes tertulis, wawancara dan dokumentasi. Teknik analisis data dilakukan dengan 3 tahapan yaitu reduksi data, penyajian data, penarikan kesimpulan/verifikasi. Keabsahan data menggunakan triangulasi metode yaitu membandingkan hasil tes kemampuan representasi dengan hasil wawancara. Analisis dikembangkan berdasarkan indikator kemampuan representasi matematis dengan memperhatikan self efficacy yang dimiliki. Berdasarkan hasil analisis, diketahui bahwa subjek dengan self efficacy tinggi juga memiliki kemampuan representasi tinggi. Subjek dengan self efficacy sedang juga memiliki kemampuan representasi sedang. Subjek dengan self efficacy rendah juga memiliki kemampuan representasi rendah.ABSTRACTThis study aims to determine the profile of the mathematical representation ability of junior high school students in terms of self-efficacy. The type of this research is descriptive qualitative. The subjects were 3 grade IX students at SMP Negeri 2 Kaliwungu in the odd semester of the 2020/2021 school year, each of whom had high self-efficacy, moderate self-efficacy, and low self-efficacy. Data collection was carried out using a self-efficacy scale, written tests, interviews, and documentation. The data analysis technique was executed in 3 stages, namely data reduction, data presentation, drawing conclusions / verification. The validity of the data used triangulation method, by comparing the results of the representation ability test with the results of the interview. The analysis is developed based on the indicator of mathematical representation ability by paying attention to the owned self-efficacy. Based on the results of the analysis, it is known that subject with high self-efficacy also has high representation abilities. Subject with moderate self-efficacy also has moderate representation abilities. Subject with low self-efficacy also has low representation skills.

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Mathematical Representation Ability of Senior High School Students: An Evaluation from Students’ Mathematical Disposition

JRAMathEdu (Journal of Research and Advances in Mathematics Education) ◽

10.23917/jramathedu.v3i1.5872 ◽

2018 ◽

Vol 3 (1) ◽

pp. 46 ◽

Cited By ~ 2

Author(s):

Aflich Yusnita Fitrianna ◽

Sofie Dinia ◽

Mayasari Mayasari ◽

Astri Yuliani Nurhafifah

Keyword(s):

High School ◽

High School Students ◽

Senior High School ◽

Mathematical Representation ◽

School Students ◽

Geometric Patterns ◽

Mathematical Expressions ◽

Mathematical Problems ◽

Almost All ◽

The Mathematical Model

The purpose of this study is to describe students’ ability in solving mathematical representation problems evaluated from mathematical disposition. The subjects are three students of 10th grade of public senior high school (PSHS) in Padalarang, West Java, Indonesia. They were selected from 35 students with high, medium, and low mathematical disposition ability. The results of the study showed that almost all of the students able to use visual representation to solve mathematical problems, and create mathematical models and solve problems by involving mathematical expressions. In contrast, most of students could not fulfill two indicators of the mathematical representation ability, i.e. creating the sketch of geometric patterns and making the mathematical model based on the situation and data given.

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ANALISIS KEMAMPUAN BERPIKIR REFLEKTIF SISWA SMP DITINJAU DARI DISPOSISI MATEMATIS SISWA

JPMI (Jurnal Pembelajaran Matematika Inovatif) ◽

10.22460/jpmi.v1i1.p79-92 ◽

2018 ◽

Vol 1 (1) ◽

pp. 79

Author(s):

Yuni Hajar ◽

Ridwan Yanwar ◽

Aflich Yusnita Fitrianna

Keyword(s):

High School Students ◽

Junior High School ◽

Reflective Thinking ◽

Mathematics Learning ◽

Mathematical Problem ◽

Descriptive Analysis ◽

School Students ◽

Ability Test ◽

Thinking Ability ◽

Mathematical Problems

Reflective thinking ability and mathematical disposition in mathematics learning is very important to be improved. Reflective thinking ability can help students to get more optimal learning outcomes and mathematical disposition is required by students to solve a mathematical problem. The purpose of this study is to analyze the difficulties faced by junior high school students in working on the problem of reflective thinking ability that review based on students' mathematical disposition ability. The research method used is descriptive analysis method to analyze the available data and processed so as to obtain a clear description of the facts and the relationship between the phenomena studied. The sample in this research is the students of class IX B in SMPN 5 Cimahi. The results of this study is that almost allindicators ofreflective thinking abilityare still not achieved review bases on student’smathematical disposition. this is due to the following factors : (a) mathematic material that is still poorly understood so that students have difficulty when solving difficult mathematical problems ; (b) student made a mistake in concept when do reflective thingking ability test; (c) the student has never experienced a test with reflective thinking ability before.

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Analysis of Junior High School Students’ Errors in Solving Mathematical Problems for The Topic of Circle

Indonesian Journal of Mathematics Education ◽

10.31002/ijome.v2i2.1888 ◽

2019 ◽

Vol 2 (2) ◽

pp. 61

Author(s):

Arief Budi Wicaksono ◽

Adhetia Martyanti

Keyword(s):

High School ◽

High School Students ◽

High Schools ◽

Junior High School ◽

Junior High ◽

Junior High School Students ◽

Junior High Schools ◽

School Students ◽

Mathematical Problems ◽

Math Problems

This research aims to determine the type and percentage of errors that junior high school students do in solving math problems on the subject of the circles. This research is an expost facto research. The population of this study is all students of grade VIII of one of the junior high schools in Purworejo as many as 182 students. Then by randomly selecting from the entire student, selected as many as 94 students as research samples. Research instruments are used in the form of diagnostic tests. Based on the results of the research, the students’ errors have done in solving math problems on the topic of circle are errors in comprehension (16,93%), transformation (27,39%), operation (26,30%), and drawing conclusion (71,55%). So, the most dominant error done by grade VIII students of one of the junior high schools in Purworejo is an error in the drawing of conclusions. Based on the results of this study, teachers need to design more effective learning to minimize the errors that occur, especially errors in drawing conclusions.

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