scholarly journals Analisis Kemampuan Pemecahan Masalah Mahasiswa pada Mata Kuliah Teori Bilangan

2021 ◽  
Vol 10 (1) ◽  
pp. 61-72
Author(s):  
Erwan Setiawan ◽  
Guntur Maulana Muhammad ◽  
Muhamad Soeleman

AbstrakTeori bilangan merupakan cabang matematika yang mempelajari sifat-sifat dan hubungan dari suatu bilangan bulat. Untuk dapat memahami materi teori bilangan dengan baik maka dibutuhkan kemampuan pemecahan masalah yang baik pula. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematika mahasiswa pada mata kuliah teori bilangan. Subjek penelitian yaitu 26 mahasiswa program studi pendidikan matematika, FKIP, Universitas Suryakancana tingkat I tahun ajaran 2017-2018. Data penelitian yang dikaji adalah lembar jawaban mahasiswa pada Ujian Tengah Semester tahun ajaran 2017-2018. Dengan metode deskriptif kuantitatif, didapatkan hasil secara umum yang menerangkan bahwa kemampuan pemecahan masalah mahasiswa program studi pendidikan matematika FKIP Universitas Suryakancana dapat dikategorikan “cukup” (64,62%). Lebih rinci, kemampuan mahasiswa dalam merencanakan penyelesaian masalah dapat dikategorikan “baik”, dengan persentase 74,62% namun sayangnya kemampuan dalam melakukan pengecekan kembali adalah yang paling lemah, dapat dikategorikan “kurang” dengan persentase 54,62%. Hal ini yang nantinya akan menjadi dasar evaluasi dalam perbaikan pembelajaran. College Students’ Problem-Solving Skills Analysis on Number Theory CourseAbstractNumber theory is a branch of mathematics that studies the properties and relationships between an integer. Understanding the material studied in number theory well also requires good mathematical problem-solving skills. This research aims to determine college students' problem-solving skills in a number theory course. The research subjects were 26 students in the mathematics education program, FKIP, Suryakancana University level I in the 2017-2018 school year. The research data used is the student answer sheet in the Middle Semester Examination in the 2017-2018 school year. By the quantitative descriptive method, the results of the research were that the problem-solving skills of students, in the mathematics education program, FKIP, Suryakancana University, can be categorized as fair (64.62%). Specifically, the students’ skill to plan problem-solving can be categorized as good (74.62%) but the validating conclusion is the weakest one that can be categorized as poor (54.62%). This will underlie the evaluation in improving learning.

2019 ◽  
Vol 3 (1) ◽  
pp. 70-80
Author(s):  
Sri Ayu Harani Tanjung ◽  
Yuli Amalia

Bahan ajar dikembangkan berdasarkan karakteristik siswa, sehingga kompetensi yang ditetapkan dapat dicapai. Secara umum kemampuan pemecahan masalah siswa masih sangat rendah, siswa belum bisa memahami soal, sehingga terkendala dalam menentukan model penyelesaian soal matematika. Penelitian ini bertujuan untuk mendeskripsikan kevalidan, keefektifan, dan respon siswa terhadap bahan ajar berbasis Problem Based Learning berkemampuan pemecahan masalah yang dikembangkan. Penelitian ini merupakan penelitian pengembangan dengan menggunakan model ADDIE yaitu Analysis, Design, Development, Implementation, dan Evaluation. Subjek Penelitan dalam penelitian ini adalah siswa SMA Negeri 1 Meureubo kelas X Mia2 sebanyak 23 siswa. Instrumen penelitian berupa lembar validasi, angket respon siswa, dan tes. Dari hasil uji coba, pada uji coba I dan II diperoleh bahan ajar berbasis Problem Based Learning yang dikembangkan efektif ditinjau dari 70% siswa yang mengikuti tes kemampuan pemecahan masalah memperoleh nilai minimal 75 dan tercapainya ketuntasan belajar tes kemampuan pemecahan masalah  75% dan respon positif siswa terhadap bahan ajar berbasis Problem Based Learning untuk kemampuan pemecahan masalah yang dikembangkan. Teaching materials are developed based on the characteristics of students, so that the specified competencies can be achieved. In general, students' problem solving abilities are still very low, students have not been able to understand the problem, so it is constrained in determining the mathematical problem solving model. This study aims to describe the validity, effectiveness, and response of students to Problem Based Learning-based teaching materials that are problem-solving skills developed. This research is a development research using ADDIE models namely Analysis, Design, Development, Implementation, and Evaluation. The research subjects in this study were 23 students of Meureubo High School 1 in class Mia2 as many as 23 students. The research instruments were validation sheets, student response questionnaires, and tests. From the results of the trials, in the first and second trials obtained teaching materials based on Problem Based Learning that were developed effectively in terms of 70% of students taking the test of problem solving skills obtained a minimum score of 75 and achievement of learning completeness 75% problem solving ability tests and positive responses for Problem Based Learning based teaching materials for problem solving abilities developed.


2021 ◽  
Vol 15 (4) ◽  
pp. 511-518
Author(s):  
Lutfi Putri Nugraheni ◽  
Marsigit Marsigit

Mathematical problem solving was an crucial skill to be mastered by primary school student so that will help student to unravel their problems encountered in everyday life. By using the realistic mathematics approach, stundents learn mathematical concept based on reality or scope around students. This study aimed to develop an eligible learning materials and test the effectiveness of learning materials based on realistic mathematics education to enhance the problem solving skill of primary school students. This research and development study was conducted in Sawangan Subdistrict, Magelang Regency, Central Java, Indonesia. The testing subjects consisted of 12 students in the the preliminary field, there were 42 students in the main field, and 90 students in the operational field that divided into experiment dan control class. The data were collected by interviews, observation, and tests. The analyzing N-gain score and t-test with a significant level of 0.05 done to find out th effectiveness of the teaching materials. The developed of realistic mathematics eduation learning materials is feasible and effective in improving problem solving skill with significance value of 0.000 (p≤0.05). It can enhance the problem solving skills of 4th grade elementary school.


2021 ◽  
Vol 9 (2) ◽  
Author(s):  
Ahmad Talib

This research is a qualitative research with descriptive method. This study aims to describe the ability to think creatively based on the type of student personality, the type of choleric personality in solving mathematical problems. The research subjects were students in the odd semester of class XII IPA 1 SMA Negeri 22 Makassar, the 2019/2020 school year. This subject was chosen by giving a personality questionnaire to students. The data was collected using a mathematical problem solving test instrument on the number sequence material and interviews. The validity of the data was checked by using the triangulation method. The results showed: Students with choleric personality in solving mathematical problems. In question number 1, the subject had difficulty in finding the formula for the nth term. But the subject kept trying and the spirit of trying until finally found the correct formula for the nth term. The subject of the choleric personality type is also said to be able to fulfill the three indicators of creative thinking, namely fluency, flexibility, and novelty. In question number 2, the subject had difficulty finding many ways to solve the problem and only met one indicator of creative thinking, namely fluency.


2021 ◽  
Vol 2 (1) ◽  
pp. 33-41
Author(s):  
Boni Harianda ◽  
Beni Junedi

Abstrak. Pemecahan masalah merupakan kemampuan dasar yang seharusnya dimiliki ole siswa. Kemampuan pemecahan masalah matematis berperan dalam menyelesaikan setiap permasalahan baik pelajaran lain maupun permasalahan dalam kehidupan sehari-hari. Melalui kegiatan pemecahan masalah matematis siswa diarahkan dalam membangun pengetahuan matematika, berpikir logis, sistematis dan terukur. Faktanya kemampuan pemecahan masalah matematis siswa masih rendah. Proses pembelajaran yang menitikberatkan pada latihan yang memberikan kesempatan pada siswa dalam mengembangkan kemampuan pemecahan masalah matematis menjadi model perbaikan dalam proses pembelajaran. Model pembelajaran missouri mathematic project merupakan model pembelajaran yang tepat memfasilitasi siswa dalam mengembangkan pemikirannya dalam menyelesaikan soal-soal pemecahan masalah matematis. Untuk itu penelitian ini bertujuan untuk meningkatkan kemampuan pemecahan masalah matematis siswa melalui penerapan model pembelajaran missouri mathematic project. Jenis penelitian merupkan penelitian tindakan kelas (PTK). Subjek penelitian siswa kelas V MIS Al Firdausy Pematang Reba. Teknik pengumpulan data yang digunakan tes kemampuan pemecahan masalah matematis. Teknik analisis data yang digunakan adalah analisis data kuantitatif. Berdasarkan hasil tes kemampuan pemecahan masalah matematis terjadi peningkatan pada setiap siklus dimulai dari tes awal pra tindakan, siklus I dan siklus II. Dapat disimpulkan bahwa terjadi peningkatan kemampuan pemecahan masalah matematis siswa melalui penerapan model pembelajaran missouri mathematic project. Abstract. Problem solving is a basic skill that should be possessed by students. Mathematical problem solving abilities play a role in solving every problem both other subjects and problems in everyday life. Through mathematical problem solving activities students are directed to build mathematical knowledge, think logically, systematically and measurably. The fact is that students' mathematical problem solving abilities are still low. The learning process that focuses on exercises that provide opportunities for students to develop mathematical problem solving skills to become a model for improvement in the learning process. The Missouri Mathematical Project learning model is an appropriate learning model to facilitate students in developing their thinking in solving mathematical problem solving problems. For this reason, this study aims to improve students' mathematical problem solving abilities through the application of the Missouri mathematical learning model. This type of research is a classroom action research (PTK). The research subjects were grade V students of MIS Al Firdausy Pematang Reba. The data collection technique used was a mathematical problem-solving ability test. The data analysis technique used is quantitative data analysis. Based on the results of the test of mathematical problem solving abilities, there was an increase in each cycle starting from the initial pre-action test, cycle I and cycle II. It can be concluded that there is an increase in students' mathematical problem solving abilities through the application of the Missouri mathematical learning model.


Author(s):  
Vigih Hery Kristanto

The purpose of this research was to find out how the stage of proofing the Stewart theorem was conducted by students of the Mathematics Education Department at Catholic Widya Mandala University of Madiun. This type of research is qualitative research with descriptive data analysis. The number of research subjects consisted of three students. This study describes the stage of proofing Stewart's theorem by students. The data collection process begins with the subject being asked to prove Stewart's theorem and write down the process of proving Stewart's theorem on the answer sheet provided. From the results of data collection, it was found that the verification process carried out by the three students used the direct verification method, there were some similarities between the three students in initiating the verification process, namely: drawing a high line on a triangle and using the pythagoras theorem to add information used in the verification process, to proving that Stewart's theorem required precision when describing an algebraic form and understanding of algebraic concepts from numbers, to prove Stewart's theorem needed time according to the speed of thinking that proves, to prove the Stewart theorem required problem solving skills, logical thinking, critical, analytical and systematic. Thus it can be concluded that, in general the steps of proving Stewart's theorem carried out by students of the Mathematics Education Department, starting with drawing ABC triangles and also describing auxiliary lines (high of CE), collecting information used in the verification process, then use the information obtained to describe the shape of the right side of the equation  becomes the left hand side, so that the equation applies.


2019 ◽  
Author(s):  
Rina Oktaviyanthi ◽  
RIA NOVIANA AGUS ◽  
Yani Supriani ◽  
Usep Sholahudin

This study described the stimulation structure of problem-solving skills obtained by students who were taught mathematics using functional skills mathematics approach. A descriptive exploratory qualitative approach was used to examine the students’ stimulation structure. Participants included three students from different level of mathematics ability in the second semester students of mathematics education program at Universitas Serang Raya. The data gained from the students’ problem-solving working collaborated with in-depth interviews focused on the students’ thinking refers to the functional skills mathematics completeness indicator. Exploration results showed the percentage of stimulation for each student of high, moderate and low mathematics ability are 81.8%, 54.5% and 36.7%. The relevance of the implementation of the functional skills mathematics approach was explained in more detail in the discussion. (This paper has been presented in "Mathematics, Science, and Computer Science Education International Seminar 2018", Universitas Pendidikan Indonesia (UPI), Bandung, West Java, Indonesia, October 27, 2018)


2019 ◽  
Vol 1 (1) ◽  
pp. 1-7
Author(s):  
Ginta Octizasari ◽  
Saleh Haji

This study aims to apply the RME-based ethnomatematics learning model to improve problem solving skills of prospective mathematics education teachers at the University of Bengkulu. This research is Classroom Action Research (CAR) with data collection techniques through student observation sheets and learning outcomes tests. Subjects in this study were 2A semester students at the University of Bengkulu in the 2017/2018 school year, totaling 22 people consisting of 6 male students and 16 female students. This study lasted two cycles through the RME-based ethnomatematics learning model with the following phases (1) orienting students to problems; (2) organizing students to study; (3) assisting independent and group investigations; (4) develop and present artifacts (works); (5) process analysis and evaluation. Based on this research, it was concluded before the implementation of the Ethnomatematics-based RME learning model, pre-action tests were conducted which resulted in an average value of 69.00 after the implementation of the ethnomatematics-based RME learning model could improve students' mathematical problem-solving ability with the problem solving ability test results. mathematics students get an increase in the average value of the first cycle of 70.77 to the second cycle of 79.59 and the percentage of mathematical problem solving ability increased from the first cycle of 81.82% to the second cycle of 95.45%


2020 ◽  
Vol 5 (2) ◽  
pp. 181-194
Author(s):  
Hella Jusra ◽  
Luthfiyah Aulia Iskandar

This study aims to identify the attitudes of students on the ability to solve problems with mathematics. The attitudes of students evaluated in this study include self-confidence, anxiety, enthusiasm, and self-regulated mathematics learning. The research subjects were 79 students in grade VIII. The researcher re-concentrated on three students from all of them, who had mathematical problem-solving skills in the high, medium, and low groups. These subjects were selected from students who focused on problem-solving mathematical skills, questionnaires on the attitudes of students, and interviews with researchers. The instruments used to collect were an instrument of problem-solving mathematical ability and an instrument of students’ attitudes in the form of student attitudes towards mathematics questionnaire. The research method used is descriptive qualitative. The findings have shown that the majority of students are balanced between excited and unexcited on mathematics. The majority reason for students who are enthusiastic about mathematics is that they can improve their abilities, talents, and knowledge. Others have different explanations such as having the resources; formulas and problems, making them feel challenged; thinking that mathematics is important. The majority of students had a low category of self-confidence and anxiety towards mathematics, and had a moderate level of enthusiasm in mathematics and self-regulated learning.  


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