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

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.

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

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.

scholarly journals Representasi Matematis Siswa SMP Berkemampuan Tinggi dalam Menyelesaikan Soal Matematika

2020 ◽  
Vol 1 (2) ◽  
pp. 111-120
Author(s):  
Fitri Ningrum Setiawati ◽  
Soffil Widadah ◽  
Eka Nurmala Sari Agustina
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

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.

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

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

scholarly journals Profil Kemampuan Representasi Matematis Siswa SMP ditinjau dari Self Efficacy

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

<p><span lang="EN-US">ABSTRAK</span></p><p><span lang="EN-US">Penelitian ini bertujuan untuk mengetahui profil kemampuan representasi matematis siswa SMP ditinjau dari <em>self efficacy</em>. 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 <em>self efficacy</em> tinggi, <em>self efficacy</em> sedang, dan <em>self efficacy</em> rendah. Pengumpulan data yang dilakukan yaitu dengan skala <em>self efficacy</em>, 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 <em>self efficacy</em> yang dimiliki. Berdasarkan hasil analisis, diketahui bahwa subjek dengan <em>self efficacy</em> tinggi juga memiliki kemampuan representasi tinggi. Subjek dengan <em>self efficacy</em> sedang juga memiliki kemampuan representasi sedang. Subjek dengan <em>self efficacy</em> rendah juga memiliki kemampuan representasi rendah.</span></p><p><span lang="EN-US">ABSTRACT</span></p><p><span lang="EN-US"><em><span lang="EN-US">This 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</span></em><span lang="EN-US">.</span></span></p>

scholarly journals MENINGKATKAN KEMAMPUAN SPASIAL SISWA MELALUI PEMBELAJARAN GEOMETRI BERBANTUAN CABRI 3D

2017 ◽  
Vol 2 (2) ◽  
pp. 179-194
Author(s):  
Eline Yanty Putri Nasution
Keyword(s):  
High School Students ◽  
Spatial Ability ◽  
Direct Instruction ◽  
Junior High School ◽  
Teaching And Learning ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Control Group ◽  
School Students ◽  
Ability Test

The purpose of this study are to investigate and to describe the gain of students‘ spatial ability through Geometry teaching and learning by using a dynamic geometry software, Cabri 3D. This study was a quasi experimental research with not equivalent control group design. Direct instruction was implemented in control group otherwise Geometry teaching and learning with using Cabri 3D was implemented in experimental group. The population of this study are all of the eight grade of junior high school students in one of the SMP Negeri in Padangsidimpuan City. The sample of this study were two groups of eighth grade. The sample has been choosed with using purposif sample technique. The instruments of this study were spatial ability test, quationere, observation sheet and interview. The test was analysed quantitatively and non test was analyzed qualitatively in order to answer the  the hypotesa, the gain of students’ spatial ability who has studied and lerant with using Cabri 3D is better than direct instruction.

scholarly journals Page 68 Copyright © 2018, Edumatica, Print ISSN: 2088-2157, Online ISSN: 2580-0779 Efektivitas Pengembangan Multimedia Pembelajaran Matematika Berbasis Teori Apos pada Materi Statistika dan Peluang

2018 ◽  
Vol 8 (2) ◽  
pp. 68-80
Author(s):  
Muhammad Maki ◽  
Jefri Marzal ◽  
Saharudin Saharudin
Keyword(s):  
High School Students ◽  
Student Perceptions ◽  
Multimedia Learning ◽  
Student Perception ◽  
Mathematics Learning ◽  
Mathematical Representation ◽  
School Students ◽  
Apos Theory ◽  
Ability Test ◽  
Learning Mathematics

Multimedia pembelajaran merupakan suatu kombinasi dari berbagai media yang dirancang atau diprogram secara terstruktur dan interaktif untuk menyajikan konsep pembelajaran. Hendaknya dipersiapkan multimedia pembelajaranuntuk membantu memudahkan pembelajaran agar siswadapat memahamikonsepdanmerepresentasikan konsep pembelajaran matematika.Tujuan penelitian ini adalah mengembangkan multimedia pembelajaran matematika berbasis teori APOS (aksi, proses, objek dan skema) dan efektivitasnya terhadap pembelajaran pada materi statistika dan peluang yang valid menurut ahli. Efektivitas pembelajaran diukur denganpeningkatan kemampuan representasi matematis dan multimedia dipersepsikan dengan baik oleh siswa. Jenis penelitian ini adalah penelitian pengembangan yang mengembangkan multimedia pembelajaranmatematika dan instrumen yang digunakan adalah angket penilaianahli materi dan ahli desain pembelajaran, angket tanggapan guru dan siswa, persepsi siswa, dan tes hasil kemampuan representasi matematis siswa. Dari hasil analisis tes kemampuan representasi didapat peningkatan kemampuan representasi matematis siswa pada kategori tinggi, berdasarkan uji gain untuk materi statistika skor yang diperoleh 0,7 dan materi peluang skor uji gain diperoleh 1,3. Dan hasil analisis dari angket persepsi siswa didapat persentase 95% menunjukkan kategori “sangat positif”. Dapat disimpulkan multimedia pembelajaran yang dikembangkan sangat baik dan dapat meningkatkan kemampuan representasi matematis siswa. Sehingga multimedia pembelajaran efektiv digunakan oleh guru dan siswa SMA khususnya pada pembelajaran materi statistika dan peluang.Kata Kunci : Multimedia Pembelajaran, Teori APOS, Efektivitas Multimedia learning is a combination of various media that are designed or programmed in a structured and interactive way to present the concept of learning. Multimedia learning should be prepared to help facilitate learning so students can understand the concept and represent the concept of mathematics learning. The purpose of this study was to develop a multimedia learning mathematics based on APOS theory (actions, processes, objects and schemes) and its effectiveness on learning in statistical materials and valid opportunities according to experts. The effectiveness of learning is measured by increasing the ability of mathematical representations and multimedia are well perceived by students. This type of research is development research that develops multimedia mathematics learning and the instruments used are questionnaires for assessment of material experts and expert learning design, questionnaires of teacher and student responses, student perceptions and test results of studentsmathematical representation abilities. From the results of the analysis of the representation ability test obtained an increase in students mathematical representation ability in the high category, based on the gain test for statistical material the score obtained was 0,7 and the probability material gain test score was 1,3. And the results of the analysis of the student perception questionnaire obtained a percentage of 95% showed the category “very positive”. It can be concluded that multimedia learning that is developed is very good and can improve students mathematical representation abilities. So that effective multimedia learning is used by teachers and high school students, especially in learning statistical materials and opportunities.Keywords: Learning Multimedia, APOS Theory, Effectiveness

scholarly journals Profil Penalaran Kuantitatif Siswa SMP Ditinjau dari Gender

2018 ◽  
Vol 5 (2) ◽  
pp. 64-74
Author(s):  
Dzikra Fu'adiah
Keyword(s):  
High School Students ◽  
Junior High School ◽  
Quantitative Information ◽  
Quantitative Reasoning ◽  
Male Participant ◽  
Female Participant ◽  
School Students ◽  
Ability Test ◽  
Geometry Method ◽  
Algebra Method

ABSTRAKPenelitian kualitatif deskriptif ini bertujuan untuk mendeskripsikan profil penalaran kuantitatif siswa SMP ditinjau dari gender. Untuk mencapai tujuan tersebut, digunakan tiga instrumen, yaitu tes kemampuan matematika untuk menentukan subjek penelitian dan tugas penalaran kuantitatif dan pedoman wawancara untuk mengumpulkan data profil penalaran kuantitatif subjek penelitian. Profil penalaran kuantitatif ditinjau dari gender adalah sebagai berikut: (1) subjek perempuan dan subjek laki-laki memahami informasi kuantitatif dengan berbagai bentuk; (2) subjek laki-laki merumuskan persamaan dari hasil interpretasi informasi kuantitatif yang diberikan secara implisit; (3) dari hasil interpretasi, subjek perempuan menyebutkan terdapat dua kuantitas sedangkan subjek laki-laki menyebutkan terdapat tiga kuantitas yang terlibat dalam masalah soal dan keduanya menyebutkan beberapa hubungan kuantitas-kuantitas tersebut; (4) subjek perempuan menggunakan metode geometri dengan menerapkan suatu sifat, sedangkan laki-laki menggunakan metode aljabar dengan menyusun dan menyelesaikan suatu persamaan; (5) keduanya memperkirakan jawaban dan memeriksa kemasuk-akalannya dengan berbeda sesuai dengan metode yang digunakan; (6) keduanya mengkomunikasikan informasi kuantitatif secara lisan maupun tulisan; (7) kedua subjek mengenali keterbatasan metode yang digunakan dalam menyelesaikan soal.ABSTRACTThis research was a descriptive qualitative reseach. The research objectives were to describe profile of the quantitative reasoning of female and male junior high school students. To reach this objective, the reseacher employed three instruments, namely a mathematical ability test to determine participants and quantitative reasoning tasks and a interview guidance to collect data of profile of the quantitative reasoning of the students. Profile of the quantitative reasoning based on gender were: (1) the both of participants understand quantitative information given in various formats; (2) the male participant can formulate an equation as a product of interpreating quantitative information which given implicitly; (3) as a result of interpratation, the female participant said that there were two quantities, whereas the male participant said there were three quantities involved in a problem and both of them mentioned several relationships among the quantities; (4) the female employed the geometry method by applying the properties of parallel lines and a two-line intersection, whereas the male employed algebra method by formulating and solving an one-variable linear equation to solve a problem; (5) both of them estimated answers and checked its reasonableness in different ways appropriate to the method that each employed; (6) both of them communicated quantitative information in verbal and written ways; (7) both of participants recognised a limitation of each own method that they umployed to solve a problem.Quantitative Reasoning, Gender

scholarly journals ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA SISWA SEKOLAH MENENGAH PERTAMA BERDASARKAN GAYA KOGNITIF

2021 ◽  
Vol 9 (2) ◽  
pp. 233-243
Author(s):  
Lihar Raudina Izzati ◽  
Erlinda Rahma Dewi ◽  
Andika Wisnu
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Cognitive Style ◽  
Junior High School ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Ability Test ◽  
Test Instrument ◽  
The Difference

Problem-solving ability is a characteristic of mathematical activities and a major ability in developing mathematical understanding. Mathematical problem-solving ability can be seen from several dimensions, one of which is cognitive style. Cognitive style is a unique way for each individual to acquire, process, store, use the information to respond to tasks or situations, and build knowledge. FD and FI cognitive styles are one type of cognitive style that are categorized by general ways of thinking, solving problems, learning, and dealing with other people so that they have a relationship with problem-solving abilities. The subjects in this study involved 72 students (around the age of 13-14 years), namely 33 students with FD cognitive style and 39 students with FI cognitive style. The problem-solving ability test instrument in this study was a mathematical problem-solving ability test that had been validated by experts and tested for reliability. The cognitive style test instrument is the Group Embedded Figure Test (GEFT) item developed by Witkin. The problem-solving ability of junior high school students with FI cognitive style is better than FD students even though the difference is not much different.

scholarly journals Exploratory case study difficulty of junior high school students in resolving problems of the pyramids surface area

2020 ◽  
Vol 6 (3) ◽  
pp. 277-286
Author(s):  
Sudirman Sudirman ◽  
Bambang Avip Priatna Martadiputra
Keyword(s):  
High School ◽  
High School Students ◽  
Surface Area ◽  
Junior High School ◽  
Data Reduction ◽  
Junior High School Students ◽  
Data Display ◽  
School Students ◽  
Exploratory Case Study

Penelitian ini bertujuan untuk mengeksplorasi kesulitan-kesulitan siswa sekolah menengah pertama dalam menyelesaikan permasalahan luas permukaan limas. Penelitian ini merupakan penelitian kualitatif dengan desain exploratory case study. Proses eksplorasi pada penelitian ini dilakukan pada partisipan yang berjumlah 13 siswa kelas VIII pada salah satu SMP Swasta di Kabupaten Indramayu.  Pengumpulan data dalam penelitian ini menggunakan tes, wawancara, dokumentasi, dan catatan lapangan. Sedangkan teknik analisis data yang digunakan mengadopsi modifikasi analisis data dari Miles dan Huberman yang terdiri dari pengumpulan data, pengodean (coding), reduksi data (data reduction), penyajian data (data display), dan penarikan kesimpulan (verification). Berdasarkan temuan penelitian, didapat bahwa kesulitan belajar yang dialami siswa pada saat menyelesaikan soal materi luas permukaan limas yaitu: (1) kesulitan dalam mengidentifikasi masalah yang terdapat pada soal; (2) kesulitan dalam mengoneksikan konsep luas permukaan dengan konsep materi prasyarat; (3) kesulitan dalam menentukan strategi penyelesaian soal tersebut; (4) kesulitan dalam menggunakan operasi yang melibatkan perkalian bilangan pecahan atau bentuk akar; (5) kesulitan dalam menggunakan formula konsep luas permukaan limas. Selain itu hasil temuan ini memberikan implikasi kepada guru untuk dapat mempersiapkan desain bahan ajar atau pembelajaran untuk mengatasi kesulitan tersebut.

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