scholarly journals STUDENTS’ REFLECTIVE ABSTRACTION ABILITY ON LINEAR ALGEBRA PROBLEM SOLVING AND RELATIONSHIP WITH PREREQUISITE KNOWLEDGE

2020 ◽  
Vol 10 (1) ◽  
pp. 1
Author(s):  
Rahayu Kariadinata

This study aims to describe the achievement of the ability of students' reflective abstraction in solving Linear Algebra problems and the relationship with prerequisite knowledge. The important of this research because the characteristic of Linear Algebra requiring reflectif abstraction skill that must be support by the prerequisite knowledge. The reflective abstraction abilities studied in this study are level, i.e.1) recognition,2) representation, 3) structural abstraction, and 4) structural awareness. These stages are adjusted to Polya's problem solving stages, namely: understanding the problem, devising a plan, carrying out the plan, and looking back. This type of research is descriptive-quantitative. The subjects of this study were students of the Mathematics Education Study Program, Faculty of Tarbiyah and Teacher Training of UIN Sunan Gunung Djati Bandung Indonesia. Collecting data through tests and interviews, data were analyzed with percentage and the pearson product-moment correlation.The results showed that the achievement level  consisiting of ) recognition,2) representation, 3) structural abstraction, and 4) structural awareness of the students’ reflective abstraction abilities on linear algebra problem solving are very good, this can be seen from the percentage achieved at stages of the recognition,the representation,the structural abstraction, and the structural awareness which is associated with Polya problem solving measures above an average of 73,31% (moderat category); there are relationship between students' reflective abstraction abilities and their prerequisite knowledge; and prerequisite knowledge influences the students’reflective abstraction abilities

2021 ◽  
Vol 14 (2) ◽  
pp. 148-157
Author(s):  
Rio Fabrika Pasandaran ◽  
Indah Suciati ◽  
Alfisyahra Alfisyahra

This article contains an exploration of conceptual understanding in geometry lectures in the Elementary School Teacher Education Study Program, Cokroaminoto Palopo University, Odd Semester, Academic Year 2020/2021. This research was conducted through a qualitative approach with the aim of explaining the details of the relationship between concepts in detail and recommending appropriate learning in problem solving. Data were collected using observation, documentation, and written tests. The three techniques are elaborated with the aim of analyzing the concepts and problem-solving patterns of the students' final semester test results. The results of the study explain several findings, namely, Teaching geometry should begin with the process of identifying the important concepts that build up a particular problem. These concepts are then analyzed and linked to one another to form a network. The concept network is then represented in an image/visual display. Through this visual display, lecturers can guide students in compiling procedural steps based on the sequence of concepts that have been compiled. Lecturers need to create meaningful learning for students by connecting previous knowledge with new knowledge through various representations, examples, and manipulations and focus on conceptual understanding rather than procedures or rules.Eksplorasi Pemahaman Konsep Geometri MahasiswaArtikel ini memuat eksplorasi pemahaman konsep dalam perkuliahan geometri pada Program Studi Pendidikan Guru Sekolah Dasar Universitas Cokroaminoto Palopo Semester Ganjil Tahun Akademik 2020/2021. Penelitian ini dilakukan melalui pendekatan kualitatif dengan tujuan untuk menjelaskan rincian hubungan antar konsep secara detail, dan merekomendasikan pembelajaran yang tepat dalam pemecahan masalah. Data dikumpulkan menggunakan teknik observasi, dokumentasi, dan tes tertulis. Ketiga teknik tersebut dielaborasi dengan tujuan Hasil penelitian menjelaskan beberapa temuan yakni; pengajaran geometri harus diawali dengan proses identifikasi konsep-konsep penting yang membangun masalah tertentu. Konsep-konsep tersebut selanjutnya dianalisis dan dihubungakan satu sama lain sehingga membentuk sebuah jejaring. Jejaring konsep selanjutnya direpresentasikan ke dalam gambar/tampilan visual. Melalui tampilan visual ini, dosen dapat membimbing mahasiswa dalam menyusun langkah-langkah prosedural berdasarkan urutan konsep yang telah disusun. Dosen perlu menciptakan pembelajaran yang bermakna bagi mahasiswa dengan cara menghubungkan pengetahuan sebelumnya dengan pengetahuan yang baru melalui berbagai representasi, contoh, dan manipulasi dan fokus pada pemahaman konseptual dibandingkan prosedur atau aturan.


2020 ◽  
Vol 3 (1) ◽  
pp. 35-44
Author(s):  
Hariawan Hariawan ◽  
Muslimin Muslimin ◽  
I Komang Werdhiana

The skills to construct and interpret graphs are a form of science skills and are an important component in learning physics. The purpose of this study was to describe the ability of undergraduate physics education students to construct graphs based on practicum data and interpret them. Data obtained through respondent answer sheets, thinking-aloud recordings, and interviews. The research was conducted at the Faculty of Teacher Training and Education (FKIP) Untad and the research subjects of the Physics Education Study Program students were 6 people obtained based on the values of Basic Physics I and Basic Physics practicum II then divided into three groups of levels (high, medium, and low) with each category as many as 2 people. The results of this study indicate: 1) in general, respondents in the high, medium, and low categories can construct graphs but are not based on the prerequisite ability to construct graphs, especially in determining the x-axis and y-axis variables, 2) on the ability to interpret graphs, respondents can interpret graphs the relationship between variables on the graph but not supported by an explanation or evaluation based on proper physics concepts, 3) The strategy used by respondents in constructing graphs, in general, is to convert data in decimal form or scientific notation and 4) The difficulties experienced by respondents when constructing graphs are converting data, determining the scale and how to determine the variables on each graph axis.    


2015 ◽  
Vol 3 (2) ◽  
pp. 109
Author(s):  
Kian Amboro

This research aimed to analyze the relationship between students history mastery and historical conciousness. This study was an ex-postfacto research with correlational research design. The population of research was all students of History Education Study Program of Teacher Training and Education Faculty of Metro Muhammadiyah University. The sample was taken using disproportionate stratified random sampling. The instruments used to collect the data were test and questionnare. Techniques of analyzing data used were correlation analysis, simple regressions at significance level of 5%. The result of research showed that the hypotheses there are was a positive significant relationship between students history mastery and historical consciousness.


2020 ◽  
Vol 2 (2) ◽  
pp. 163-174
Author(s):  
Tri Isti Hartini ◽  
Martin Martin

This study aims to determine whether there is an effect of systematic problem solving learning models on basic physics learning outcomes 2. Based on the hypothesis proposed in this study, there is an effect of systematic problem solving learning models on basic physics learning outcomes 2. This research was conducted in the Physics Education Study Program. FKIP UHAMKA. The method used in this research is the experimental method. With the target population in this study were all students of the Physics Education Study Program FKIP UHAMKA, while the affordable population was semester 2 students. The sample was taken randomly (random sampling) by taking 20 students from semester 2 students. The design used in the study was one group pretest-posttest design. The data collection technique used a research instrument in the form of a written test (paper and pencil test), namely a description of 15 questions. Based on the hypothesis test using the t test, the t count was 2.78. While t table is obtained from table t with a significance level of α = 0.05 and degrees of freedom (dk) = 20, which is 1.725. Because tcount> ttable 2.78> 1.725, H0 is rejected. This H1 is accepted, which states that there is an effect of systematic problem solving learning models on student physics learning outcomes on direct current material.


EDUKASI ◽  
2019 ◽  
Vol 16 (2) ◽  
Author(s):  
Asrul Asrul

The aims of this research is to find out whether or not there is a significant relationship between students’ motivation and their listening achievement. Quantitative method was applied in this research with correlation design. The population of the study was the second semester students of English Language Education Study Program of Khairun University academic year 2016/2017. The sample of this research consisted of 30 students and they were selected by using convenience sampling technique. The data were collected through questionnaire and listening scores. The result of this research shows that r is -0.28. This relationship is small (low) because r value is between 0.10 and 0.29. The result could be classified that the relationship between the two variables is not significant because the r is small (low). It means that the alternative hypothesis (Ha) stating that there is a significant relationship between students’ motivation and their listening achievement is rejected and null hypothesis (Ho) stating that there is no significant relationship between students’ motivation and their listening achievement is accepted. This suggests that students with high motivation do not guarantee high achievement in learning listening comprehension.Keyword : Relationship, motivation, listening achievement


2019 ◽  
Author(s):  
Rochmad . ◽  
Muhammad Kharis ◽  
Arief Agoestanto ◽  
Muhammad Zuhair Zahid

This article was prepared based on qualitative research, case studied with research subjects 36 undergraduate students of mathematics education study program FMIPA UNNES in elementary linear algebra. Intended to find out students’ problem solving abilities aspects of algebraic creative thinking and to describe connections between aspects of students creative thinking in solving problems. Aspects of creative thinking include: fluency, flexibility, novelty, and elaboration. Data obtained through tests, observations, and interviews. Based on the analysis of the test results, as many as 17 students reached the minimal criteria which is at least 61, and 15 students worth under 61. This indicates that many students had difficulty in solving problems of elementary linear algebra that contain aspects of creative thinking. The creative thinking character ofstudentsinsolvingproblemsofelementaryalgebrawithaspectsofcreativethinking; based on data analysis, obtained information that students in solving problems generally tend to thought on aspects of fluency. Some students had difficulty thought intermsofflexibility.Onlyafewstudentsthoughtofthenoveltyaspect.Manystudents had difficulty thought about aspects of elaboration. In connection between aspects of creative thinking there were several sequence patterns in thought when solving problems. Only a few of the four aspects of creative thinking were patterned on the minds of students.


2020 ◽  
Vol 9 (2) ◽  
pp. 183
Author(s):  
Johannis Takaria ◽  
Wahyudin Wahyudin ◽  
Jozua Sabandar ◽  
Jarnawi Afgani Dahlan

The purpose of this study was to find out the relationship between statistical literacy and mathematical representation of students as pre-service elementary school teachers through the Collaborative Problem Solving (CPS) model. The relationship between statistical literacy and mathematical representation was analyzed by using a product-moment correlation with a sample of 35 students of Elementary School Teacher Education Study Program at one of the state universities in Ambon City. The results showed that there was a positive and strong relationship between statistical literacy and mathematical representation with a correlation value of 0.66. This relationship means that if students have good mathematical representation abilities, statistical literacy abilities are also getting better. Exploration of statistical literacy and mathematical representation abilities can be facilitated by using The CPS learning model. The CPS learning model can facilitate student learning as a structure in mathematical thinking so that statistical literacy and mathematical representation abilities of students can be explored through the transformation of ideas among students. The CPS learning model aspects were implemented in high and very high categories while the indicators were at rating-2 and rating-3.


2017 ◽  
Vol 3 (1) ◽  
pp. 11
Author(s):  
T. Tutut Widiastuti

 Abstract The purpose of thi research is to describethe ability of solving problems through the application of learning with a problem based teaching materials on the subject of vector analysis 4th semester students of mathematics education study program in the academic year 2015/2016. This study used a qualitative approach with classroom action research participants. The hallmark of the classroom action research done in the cycles. Each cycles consists of four phases: planning, implementation, observation, and reflection. Based on the results of this research is: (1) that students problem solving abilities views of mastery learning students has increased 23% , (2) From the average value of problem solving ability of students increased by 4,2 after improvements in cycle II, (3) Based on observation, the learning process has increased by 9,1% and student activities increased by 6,25%, (4) The all object of the interview stated that they were pleased with applied learning. From all the research results have shown that this research has met the success criteria set. 


2019 ◽  
Vol 7 (1) ◽  
pp. 49
Author(s):  
Baso Intang Sappaile ◽  
Triyanto Pristiwaluyo

This research is a survey research that is focused on the ability of students to solve mathematical problems. The purpose of the study was to determine the relationship between learning motivation and self-concept of students with the ability to solve mathematical problems, both together and individually. The population of the study is 2017/2018 odd semester students of Mathematics Education Study Program FMIPA UNM Makassar. Sampling is used random class. Data obtained through instruments: 1) learning motivation scale, 2) self concept scale, 3) test mathematical problem solving ability. Data were analyzed by multiple regression. The conclusions obtained are 1) learning motivation has a positive relationship with mathematical problem solving abilities, 2) self-concept has a positive relationship with mathematical problem solving abilities, and 3) contribution of motivation and self-concept to mathematical problem solving by 71%. It is expected that other researchers to expand the population and add independent variables that theoretically adhere to mathematical problem solving abilities


MaPan ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 87
Author(s):  
Fauziah Hakim ◽  
Murtafiah Murtafiah

Abstract:Various mathematical abilities require a high level of struggle to be achieved, one of which is the ability to solve mathematical proof problems. Several factors are also associated with this ability, including adversity quotient and resilience. This research aimed to look at the effect of adversity quotient and resilience on the mathematical proof problem-solving ability. This research used a quantitative approach with a correlational method. The sample in this study were 31 students randomly selected from all students of the Mathematics Education Study Program at Universitas Sulawesi Barat who programmed Abstract Algebra course in the academic year of 2019/2020, amounting to 71 students. The analysis technique used is multiple linear regressions. The results of hypothesis testing indicate that adversity quotient and resilience affect the mathematical proof problem-solving ability positively both individually and simultaneously.Abstrak:Berbagai kemampuan matematis memerlukan daya juang tinggi untuk berhasil dicapai, salah satunya kemampuan pemecahan masalah pembuktian matematis. Beberapa faktor pun dikaitkan dengan kemampuan tersebut, antara lain adversity quotient dan resiliensi. Penelitian ini bertujuan untuk melihat pengaruh adversity quotient dan resiliensi terhadap kemampuan pemecahan masalah pembuktian matematis. Penelitian ini menggunakan pendekatan kuantitatif dengan metode korelasional. Sampel pada penelitian ini sebanyak 31 mahasiswa yang dipilih secara acak dari seluruh mahasiswa Program Studi Pendidikan Matematika Universitas Sulawesi Barat yang memprogramkan mata kuliah Struktur Aljabar tahun akademik 2019/2020 yang berjumlah 71 mahasiswa. Teknik analisis yang digunakan adalah regresi linear berganda. Hasil pengujian hipotesis menunjukkan bahwa adversity quotient dan resiliensi berpengaruh positif terhadap kemampuan pemecahan masalah pembuktian matematis baik secara sendiri-sendiri maupun secara simultan.


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