Thinking Process of Secondary Level Students in Constructing Proof by Mathematical Induction in Terms of Their Attitude toward Mathematics

This research aims to describe secondary-level students' thinking processes in terms of their attitude toward mathematics in constructing proof by mathematical induction. This qualitative research involved two students who were selected from 30 students of second grade of senior high school that categorized into two groups, namely the students who have a positive and negative attitude toward mathematics by using Attitude Toward Mathematics Inventory (ATMI) questionnaire. One student from each category was selected to be given a proving test and interviewed. Students’ process of proving test and interview recording were collected and analyzed to identify their thinking process. This research points out that both students who have positive and negative attitudes towards mathematics can recall the information in their memory regarding the characteristics and steps to prove using mathematical induction. However, the student who has negative attitudes towards mathematics tends to experience some difficulties in processing information, especially in the induction step, caused by panic, depression, and insecurity. The student who has a positive attitude towards mathematics also experiences some difficulties in the proving process, namely understanding what to prove and compiling the induction steps. However, she keeps trying and believes that she would be able to solve it. Hence, she can solve the proof completely.

Media Penselo Berbantuan LKS untuk Memfasilitasi Pembentukan Konsep Matematis Siswa SMK pada Materi Logaritma

Logarithms are classified as new material for vocational students, where this material has never been taught in previous levels of education. A media in logarithmic learning are needed so that concept formation can be well received by students. This study aims to determine the validity and effectiveness of penselo media assisted by worksheet in facilitating the formation of students' logarithmic concepts. This is a development research with instruments used in this study are worksheet, media validation sheets, student response questionnaire, and field notes. Grade X students of SMK Telekomunikasi Darul Ulum are the test subjects in this study. The data in this study consisted of quantitative data and qualitative data. Quantitative data were analyzed using descriptive statistics, while qualitative data were analyzed using the stages of data reduction, data presentation and conclusion drawing. The results of the validation test on aspects of manual tools were 87.5%, language aspects were 75%, content aspects were 81.25% and other aspects were 81.25%, while student responses were 3.54 which met the very good category. It can be concluded that the penselo media assisted by worksheet is valid and effective in forming the initial concept of logarithm.

Proses Pemecahan Masalah Siswa Menengah Pertama dalam Menyelesaikan Masalah Lingkaran

Problem-solving abilities have an important role in learning, especially in solving math problems, one of which is in circle material. This study aims to describe the mathematics problem solving process of junior high school students in solving circle problems through the process of solving problems in IDEAL. The approach used is a qualitative approach with a descriptive type. The sampling technique used in this research is purposive sampling technique. The results showed that, based on the problem-solving process, each subject had a different problem-solving process. S-1 with the category of completely solving problems fulfills the indicators in solving IDEAL problems. S-2 with the category of correct but not perfect does not yet fulfill the IDEAL problem-solving process. S-2 experienced errors when exploring the strategy and implementing the first problem strategy so that the final result was not in accordance with the objectives of the first problem. S-3 with the category of imperfect does not yet fulfill the IDEAL problem-solving process. S-3 only fulfills one IDEAL problem solving indicators, implementing strategies. However, the problem-solving process carried out by S-3 is not exactly in accordance with the objectives of the first and second problems.

Pengembangan Bahan Ajar Geometri Berbasis Kearifan Lokal Aceh

The results of observations on April 15, 2019, at SMP Negeri 1 Peureulak, East Aceh District, and the 2017/2018 National Examinations showed that students experienced difficulties in geometry, so there was a need for teaching materials in the form of LAS (Student Activity Sheets). This development aims to determine that teaching materials in the form of LAS based on Acehnese local wisdom are valid, practical, and effective, and also determine student learning outcomes. This research is a development research using the ADDIE model (Analyze, Design, Development, Implementation, and Evaluation). The subject of the trial in this study was grade VII-1 students of SMP Negeri 1 Peureulak, East Aceh District. Questionnaires, observations, interviews, and tests are used as data collection techniques and instruments in this research. The data analysis in this study is descriptive analysis using the preparation/development of the LAS product variable and the resulting LAS quality variable. As for student learning outcomes in using LAS can be seen from the results of the LAS analysis, which includes student learning outcomes as one of the effectiveness aspect of LAS and test data on learning outcomes. Based on the results of the analysis, it can be concluded that the teaching materials in the form of LAS based on Acehnese local wisdom in mathematics learning especially geometry material in Junior High Schools are categorized as valid, practical, and effective. Student learning outcomes using the LAS have a mastery score with a score of 86.43.

Pembelajaran Penjumlahan dan Pengurangan Bilangan Dua Digit secara Simultan untuk Mengembangkan Intuisi Bilangan Siswa

The learning of addition and subtraction that usually be done in sequence impact students’ tendency to separate type of the strategies employ to solve the related problems. In fact, there are a number of situations that can be observed and solved through both lenses. Therefore, in this study we designed a simultaneous addition and subtraction of two-digit numbers learning trajectory. The learning activities were constructed based on Realistic Mathematics Education (RME) Approach. This design study was conducted in three steps consist of preliminary study, teaching experiments, and retrospective analysis. The teaching experiments were done in two cycle, the first was done with four students and the second was done with 33 students in two classes of an elementary school located in Singaraja, Bali. The data related to number sense ability were gathered from observation and students’ written work in solving worksheet and post-test. The collected data were analyzed using constant comparative method. From the results, we found that a simultaneous learning of two-digit numbers addition and subtraction were effectively develop the students’ number sense and encourage the students to develop efficient counting strategies.

Kemampuan Berpikir Kreatif Siswa dalam Pemecahan Masalah dengan Konteks Covid-19

This study aims to describe the creative thinking abilities of students based on their level of creative thinking in solving math problems in the context of covid 19. Data collection was carried out by providing a test for solving mathematics problems in the context of Covid 19. Data analysis techniques were data reduction, data presentation, and conclusion drawing. Data analysis is to see how the student is solving problems with what ideas can be given. The research subjects were four students with different levels of creative thinking, then interviewed how the students completed these problems. The results showed that the subject at level 0 (not creative) only gave one answer and one way of solving the problem. Subjects with creative thinking level 1 (less creative), able to produce two different answers, and able to present data in two ways of presenting data, but only one is correct. Then the subject with level 2 (creative enough), can give one answer correctly and two ways of presenting the data correctly. While the subject with level 3 (creative) thinking can produce two different answers correctly and two ways of presenting data correctly.

Efektivitas Pembelajaran Etnomatematika “Permainan Engklek” Terhadap Pemahaman Konsep Geometri Siswa Sekolah Dasar

Mathematics learning in elementary schools frequently encountered obstacles in material delivery. It was due to the abstract concepts of mathematics and the character of students who entered the concrete operational phase. Ethnomathematics learning could become an effort to overcome those obstacles. The purpose of this study was to determined the effectiveness of learning ethnomathematics "engklek-game" on the understanding of geometry concept for third-grade students of SDN 4 Sepanjang Glenmore. This study used a mixed-method approach with the type of experimental research one-group pretest-posttest design. Data collection techniques were through written tests and interviews. The quantitative data were analyzed using descriptive analysis and used paired sample t-test. The qualitative data was analyzed by reducing the data, presenting the data, and drawing conclusions. The results of the study showed that learning ethnomathematics "engklek-game" obtained Sig. (2-tailed) of 0.000, so that it had a significant effect on the understanding of the geometry concept of students in grade III SDN 4 Sepanjang Glenmore. Based on the results of the interview, it found that the student response was good. Teachers stated that students were enthusiastic during the learning, which led to an increase in learning outcomes before and after learning ethnomathematics "engklek-game."

Pengaruh Model Pembelajaran Think Pair Share Menggunakan Media Google Classroom terhadap Kemampuan Komunikasi Matematis Mahasiswa IAIN Tulungagung

Mathematical communication skill is very important for university students because through communication, students can convey their mathematical ideas, knowledge and arguments. However, the facts show that the written mathematical communication skills of students majoring in Mathematics Education at IAIN Tulungagung are classified as low. The low written mathematical communication skill of students is indicated by errors in writing mathematical symbols on an equation and unsystematic writing of the steps to solve mathematical problems. This study aimed to determine the effectiveness of the Think Pair Share (TPS) learning model using Google Classroom media to improve the written mathematical communication skill of IAIN Tulungagung students. Several previous researchers have reviewed the use of Google Classroom in learning, but it was not integrated with the TPS learning model and did not focus on the influence on students' mathematical communication skill. The study sample was 40 students of the 5th semester in 2019/2020 academic year majoring in Mathematics Education at IAIN Tulungagung who took the Differential Equation course. The data collection was carried out by providing a pretest and posttest before and after implementing the learning using the TPS model with Google Classroom media. Then, the data from the pretest and posttest results were analyzed using the Wilcoxon test because the data were not normally distributed. The results of this study showed that the TPS learning model using Google Classroom media could improve the students' mathematical communication skill.

Peluang dan Tantangan Pengintegrasian Learning Management System (LMS) dalam Pembelajaran Matematika di Indonesia

This literature review aimed to describe the opportunities and challenges of integrating the Learning Management System (LMS) in mathematics learning, especially in terms of the non-technical aspects. Because many LMS platforms which can be integrated into learning process, this review only discusses the three LMS platforms which are common, namely Moodle, Edmodo, and Schoology. This review was conducted with the method as proposed by Templier and Paré (2015), in which the literature materials consisted of journal articles, proceedings, and official websites of LMS. The results of this review showed that integrating the LMS in mathematics learning indicated opportunities in terms of the positive impact which can be obtained from integrating the LMS. On the other hand, the identified challenges were about how mathematics content or materials were organized through integrating the LMS, providing feedback, and maximizing the online discussion facility provided by LMS. Therefore, to obtain the positive impact from integrating the LMS into mathematics learning, teachers should pay attention to these three challenges.

Pemahaman Konseptual dan Prosedural Siswa SMA/MA dalam Menyelesaikan Soal Program Linier Berdasarkan Tipe Kepribadian

This study aimed to describe the conceptual and procedural comprehension to solve linear program story problems in students who are an extrovert and an introvert. This was qualitative study with a case study method. The subjects were two students who are an extrovert and an introvert. Data collection included personality questionnaires, question tests, and interviews. Validity test of the data used time triangulation. Data analysis was conducted based on indicators of conceptual and procedural comprehension, which include data reduction, data presentation, and conclusion drawing. The results showed that the extroverted subject was able to meet all indicators of conceptual and procedural comprehension. This was reflected from the way the subject solved the questions properly according to the existing procedures. In contrast, the introverted student was also able to meet the procedural comprehension indicators, but did not meet the conceptual comprehension indicator. This was reflected from the mistakes that the subject made in comprehending the questions and the errors in interpreting the questions into mathematical model.