Kalamatika (E-Journal)
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THE NEWMAN PROCEDURE FOR ANALYZING STUDENTS' ERRORS IN SOLVING SYSTEMS OF LINEAR EQUATIONS
No full textThis study aimed to analyze students’ errors in problem-solving activities for systems of linear equations. The descriptive qualitative method was adopted and applied to obtain and process the research data. Research subjects were selected using the purposive sampling technique. Three participants were chosen according to their mathematical proficiency levels. Data collection was conducted by tests to measure students’ problem-solving abilities and semi-structural interviews to gather qualitative information about students’ errors in solving systems of linear equations. The interview results were analyzed using narrative analysis to obtain accurate conclusions. The study found that (1) low-ability students tend to perform error at the comprehension stage, (2) medium-ability students are likely to perform error at the transformation stage, and (3) high-ability students tend to perform error at the process skills stage. The solutions based on the ability level are: (1) low-ability students are required to read the question carefully, educators should emphasize the problem-solving procedure, and students should strengthen their understanding of the prerequisite learning content in problem-solving; (2) medium-ability students have to focus on the emphasis and development of their skills in understanding the language of a problem and balance with improving their understanding of learning content and contextual exercising; (3) high-ability students are provided with exercises that can improve their counting speed and accuracy of the subject in resolving a problem
THE EFFECT OF ONLINE LEARNING AND DIRECT FACE-TO-FACE TO MATHEMATICS LEARNING ACHIEVEMENT
No full textThis study aimed to determine the effect of learning media on student achievement in mathematics. The learning media used include learning using Zoom Meeting, Google Classroom, and face-to-face in class. The research method used was an experiment with a quantitative approach. The samples were 30 Year 9 students divided into three different treatments in learning: learning using Zoom Meeting, learning using Google Classroom, and face-to-face learning in class. The instrument used was a description of the essay questions used to measure student achievement. Data were analyzed using one-way ANOVA and Tukey's - HSD test. The results showed a significant or different effect between the use of learning media on student achievement (Fcount = 3.665 > Ftable = 3.35) of α= 5%. Furthermore, further tests were carried out using the Tukey's - HSD test to examine which learning media had a different effect. Further test results showed that learning using Google Classroom with face-to-face learning in the class had a different effect on students' mathematics learning achievement. Meanwhile, student achievement between Zoom Meeting and face-to-face learning and Zoom meeting and Google Classroom was not significantly different. The average student learning achievement in face-to-face learning was greater than those using Google Classroom
IDENTIFICATION OF STUDENTS’ WORK IN RESOLVING THE PROBLEM OF POLYHEDRON
No full textThe research aims to identify students ' work in resolving the problem of polyhedron. This research used a qualitative descriptive method conducted at the state Junior High School in Batujajar. The instrument used in this research is a test of the problem that has been adjusted to the indicator of the polyhedron material of a) mention the elements of the cube, Cuboids, Prism, and Pyramid (ribs, field, side, diagonal field, diagonal space, field Diagonal); b) determines the surface area of the polyhedron c) The volume of polyhedron; d) solve the problem of polyhedron in daily life. Based on the research results of the 4 problems given are received percentage value in a row of 29.03%; 66.12%; 65.70%; 47.90% of the results showed that students are still struggling in determining the elements of polyhedron chamber and creating a mathematical model of the story related to everyday life
THE EFFECTIVENESS OF GEOGEBRA-BASED VAN HIELE MODEL ON MATHEMATICAL DISPOSITION ASSESSED FROM EARLY MATHEMATICS ABILITY
No full textThe aim of this research was to observe the effectiveness of geogebra based van hiele model on mathematical disposition assessed from early mathematics ability. The accessible population of the present study was students of Prof. DR. HAMKA Muhammadiyah University. Samples of this research is semester two students from mathematics education program. Due to the happening Covid-19 pandemic, the present study was conducted online. The method employed was quasi-experiment using factorial treatment by level 2 × 2 design. The data were collected with mathematical disposition questionnaire and early mathematics ability instrument. After the data were collected, they were then analyzed with two-way ANAVA analysis. The result showed that there was no significant difference in the increase mathematical disposition of students who are given the learning model and early mathematics ability. The conclusion obtained is that the geogebra based Van Hiele Model is ineffective on students’ mathematical disposition in terms of their early mathematics abilitiy. This is due to several factors, namely internal factors and external factors. The internal factors are decreas in the score of mathematical disposition from pretest to posttest, lack of understanding applying geogebra software with online learning. External factors are quotas and poor internet network
AN INTRODUCTION TO THE RASCH MEASUREMENT MODEL: A CASE OF MATHEMATICS EDUCATION STUDENTS COMPREHENSIVE TEST
No full textMathematics assessments should be designed for all students, regardless of their background or gender. Rasch analysis, developed based on Item Response Theory (IRT), is one of the primary tools to analyse the inclusiveness of mathematics assessment. However, the mathematics test development has been dominated by Classical Test Theory (CTT). This study is a preliminary study to evaluate the mathematics comprehensive test. This study aims to demonstrate the use of Rasch analysis by assessing the appropriateness of the mathematics comprehensive test to measure students' mathematical understanding. Data were collected from one cycle of mathematics comprehensive test involving 48 undergraduate students of mathematics education department. Rasch analysis was conducted using ACER Conquest 4 software to assess the item difficulty and differential item functioning (DIF). The findings show that the item related to geometry is the easiest question for students, while item concerning calculus as the hardest question. The test is viable to measure students’ mathematical understanding as it shows no evidence of Differential Item Functioning (DIF). Gender has been drawn for each of the test items. The assessment showed that the test was inclusive. More application of Rasch analysis should be conducted to create a thorough and robust mathematics assessment
Analisis Kesalahan Siswa SMP pada Materi Perbandingan berdasarkan Perspektif Gender dan Analisis Kesalahan Newman.
No full textThis research was conducted to find out how the gender perspective affects the mistakes made by students in the ratio and proportion questions. Mindset’s differences between male and female will affect how they solve problems and it will also affect their mathematics learning outcomes. Errors made by students were analyzed using the Newman error analysis indicator. Error analysis indicators used are reading errors, misunderstanding errors, transformation errors, process errors, and error writing answers (encoding). This research uses descriptive qualitative research method. This research was conducted at SMPN 2 Cimahi. The instruments in this study were test and non-test questions. It can be concluded from this research that there are differences between male and female students when working on ratio and proportion concept questions based on the mistakes they’ve made. The most common mistakes made by male students are mistakes in the process of writing answers. This error occurs because they do not write down the complete answer details, it’s because male tend to be simpler in solving problems. The most common mistake made by female is an error in understanding. It’s because female tend to use logic-less when understanding the mathematical problems presented in the questions
STUDENTS’ ABILITY TO READ STATISTICAL DIAGRAM
No full textReading diagrams is an important ability needed by college students, particularly to writing their thesis. This ability could help students in describing and communicating the results of their research. Conversely, the inability to read diagrams causes errors in interpreting the results of the research. This descriptive qualitative study aims to describe the ability of students to read diagrams in terms of gender differences and the tendency to choose problems between bar/line diagrams, and the reasons behind the difficulties for students reading diagrams. This study involved 25 students of Mathematics Education, University of Lampung. Research data were collected using test and interview instrument. The results showed that students’ability both male and female to read diagrams was classified as moderate, the ability to read bar charts of female students was higher than that of male students but the ability to read line diagrams of male students was higher than female students, female students tend to choose bar diagrams rather than line diagrams while male students tend to choose line diagrams rather than bar diagrams, and the cause of difficulties in reading diagrams for female students were errors in understanding the meaning words while male students were errors of logical thinking in associating data with other data.Membaca diagram merupakan salah satu kemampuan penting bagi mahasiswa, terutama saat mahasiswa menyusun skripsi. Kemampuan membaca diagram dapat membantu mahasiswa dalam mendeskripsikan dan mengkomunikasikan hasil penelitiannya. Sebaliknya, ketidak-mampuan membaca diagram menyebabkan kesalahan menafsirkan hasi penelitiannya. Penelitian kualitatif deskriptif ini bertujuan untuk mendeskripsikan kemampuan mahasiswa dalam membaca diagram yang ditinjau dari perbedaan jenis kelamin dan kecenderungan memilih soal antara diagram batang/garis, dan penyebab kesulitan mahasiswa membaca diagram. Penelitian ini melibatkan 25 mahasiswa program studi pendidikan matematika FKIP Universitas Lampung yang sedang menyusun skripsi pada semester ganjil tahun akademik 2019/2020. Data penelitian dikumpulkan melalui tes dan wawancara. Tes membaca tabel ini terdiri dari 2 soal uraian, yaitu membaca diagram batang dan garis. Wawancara berbentuk semi terstruktur yang bertujuan untuk melengkapi data tes membaca diagram. Data hasil tes dan wawancara ini dianalisis dengan statistika deskriptif. Hasil penelitian menunjukkan bahwa kemampuan mahasiswa membaca diagram tergolong sedang, kemampuan mahasiswa perempuan membaca diagram lebih tinggi daripada mahasiswa laki-laki, kemampuan mahasiswa membaca diagram sesuai dengan kecenderungan memilih soal antara diagram batang/garis, dan penyebab kesulitan mahasiswa membaca diagram adalah kesalahan dalam memahami makna kata dan kesalahan berpikir logis saat mengaitkan suatu data dengan data lain
Penggunaan Strategi Heuristik Model Polya dalam Meningkatkan Kompetensi Pembelajaran Matematika Keuangan Ditinjau dari Pengetahuan Awal Mahasiswa Universitas Timor
No full textThe research aims to depict students’ ability in solving mathematical problems based on Polya’s heuristic. Descriptive qualitative was used as a method in this research. Data were collected by observation, test, and interview. Based on the result of analysis obtained that the students with low level prior knowledge think heuristically in solving the problem solving test. For the students with medium level prior knowledge, the students think algorithmically and couldn’t solve the problem solving test imperfectly. Furthermore, the students with high level prior knowledge think algorithmically in solving the problem solving mathematics test and the other words, the students could solve the problem solving test well and fluently.  
ANALYSIS OF STUDENT DIFFICULTIES IN SOLVING TRIGONOMETRIC PROBLEM
No full textThis study is done to explore learning difficulties when students are given trig problems in solving math problems. Learning difficulties that encounter during learning and results in less than optimal learning. Trigonometric materials given are just about the number and ratio of sine cosine. Trigonometric materials are given based on the results of a study in student mathematics problem. The ability to solve mathematical problems based on 4 indicators is to understand problems, plan ideas to use, solve problems and reexamine them. This research was tested in praise of the sophomores science class 2 MAN Cimahi. This method of research with qualitative research with students analyzes answer results. The results of this research have found some difficulty with learning problem-solving skills. As for the fourth problem he gave, many of the students had difficulty solving the trigonometry problem.Penelitian ini dilakukan untuk mengeksplorasi kesulitan belajar ketika siswa diberi masalah trigonometri dalam pemecahan masalah matematika. kesulitan belajar yang kendala yang dihadapi selama belajar dan hasilnya dalam waktu kurang dari belajar yang optimal. Materi trigonometri yang diberikan adalah hanya tentang jumlah dan perbandingan dari sinus cosinus. Materi trigonometri diberikan berdasarkan hasil pembelajaran pemecahan masalah matematika siswa. Kemampuan pemecahan masalah matematika berdasarkan atas 4 indikator adalah kemampuan memahami masalah, merencanakan ide yang digunakan, menyelesaikan masalah dan memeriksa kembali. Penelitian ini diujikan pada siswa kelas XI IPA 2 MAN Cimahi. Metode penelitian ini dengan penelitian kualitatif dengan siswa menganalisis hasil jawaban. Hasil penelitian ini menemukan beberapa kesulitan untuk belajar kemampuan pemecahan masalah
ANALISIS KESALAHAN MAHASISWA DALAM MENYELESAIKAN MASALAH VOLUME BENDA PUTAR DITINJAU DARI ASPEK BERPIKIR KRITIS
No full textStudents of mathematics education need to have a good understanding in solving integral calculus problems, but often have difficulty in understanding the subject material. The difficulties can be seen from the mistakes made by students when solving the problems. This article aims to analyze the errors of students in learning integral calculus especially in the subject of volume of the solid of revolution in terms of critical thinking aspects. This research is a qualitative descriptive study involving twenty-four of 6th-semester students of mathematics education at a private university in Yogyakarta. The research subjects were chosen purposively by considering: student errors in determining the volume of the solid of revolutions with integral techniques in terms of critical thinking aspect. The findings of this study indicate, student errors in determining the function of integrals, write down the rules of integral writing, misunderstanding in algebraic concepts, adding constants, write down limits and sigma notations, determine integration methods, determine boundaries integration, writing in integral sign, and error in determining the radius of the solid of revolution