MATHEMATICAL ISSUES IN TWO-DIMENSIONAL ARITHMETIC FOR ANALYZE STUDENTS' METACOGNITION AND CREATIVE THINKING SKILLS

This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study. Students' of the Mathematics Education Study Program in Tarbiyah Faculty of Ibrahimy University are subjects in the study. Through this article, the author will describe the results of the research in the combinatorics course. The initial data was collected by assigning open problem-solving assignments to students and conducting documentation studies on students in generating arithmetic generalization patterns based on function formulae. Then, students are assigned to complete the second task, which is to compile a two-dimensional arithmetic sequence based on the multilevel function formula of arranged arithmetic. The analysis model of Miles and Huberman is the analytical methodology used in this study. The collected data indicated that the level of students’ creative thinking skills in combinatorics could be in the category of creative enough (16.67%), creative (50%), and very creative (33.33%). While the other analyzed data showed that the student’s level of metacognitive on level 3 (77.78%) and the remainder on level 4 (22.22%). These analysis results are influenced by several factors such as accuracy in compiling numbers and expanding data, conceptual mastery of arithmetic progression permutation concept, and its application, the tendency of students’ to rely on memorization and imitation of the examples.

HIGH ORDER THINKING SKILLS AND DIGITAL LITERACY SKILLS INSTRUMENT TEST IN MATHEMATICS

Developing evaluation instruments in the student learning process in interactive, fun, challenging, motivating, and developing students 'creativity and independence were needed to improve students' High Order Thinking Skills (HOTS) and digital literacy skills (DLS). HOTS and digital literacy were part of the 21st-century skills that were important for every individual. This study developed a test instrument integrated with Augmented Reality (AR) and Google Scholar (GS) to encourage HOTS and students' digital literacy skills. This type of research was development research based on the following development steps: information gathering, planning, initial product development, limited trial, initial product revision, field trial, and final product revision. The subject matter was the scale and comparison. Product trials were applied to 11th-grade students in Sleman, Indonesia. Product validity was based on expert judgment, item validity, distinguishing power, difficulty level and reliability to reach a good category in general. AR was created using the ARLOOPA application operated with android. The research instrument was designed to increase HOTS and DLS.

PENGEMBANGAN SOAL TES UNTUK MENGUKUR KEMAMPUAN PEMECAHAN MASALAH SISWA PADA MATERI BENTUK ALJABAR

Problem-solving ability became a learned process as well as a goal that must be achieved in learned mathematics so it is important for students to have these abilities, especially in algebraic form material. But in fact, in the material of algebraic forms, the ability was still minimally mastered by students. Based on the results of the interview, it shows that the lack of ability was due to the questions given by the teacher only in the form of routine questions taken from LKS or textbooks that did not require the use of problem-solving skills but only require the used of procedural formulas. Therefore, it was necessary to develop test questions that contain question items that could measure students' problem-solving abilities in the algebraic form of material. This type of research was developed researched using the ADDIE model which stands for analysis, design, development, implementation, and evaluation. Data collection techniques used in this study were validation questionnaires and tests. Meanwhile, the data collection instruments were validation questionnaire sheets and test sheets. The test subjects in this study were class VII C students of MTs Salafiyah Syafi'iyah Seblak Jombang. The results showed that the product developed in the form of a test was declared valid by the expert with an average validity of 3.75 and was in very valid criteria. Meanwhile, the results of the empirical validity test showed that only four of the five items on the test developed were declared valid and of the four items that were valid, the reliability value of 0.786 with high criteria was obtained. The research findings prove that the developed test contains only four items that were valid both theoretically and empirically and reliably so that they could be used to measure students' problem-solving abilities on the algebraic form of material.

BERPIKIR GEOMETRI LEVEL VISUALISASI SISWA SEKOLAH MENENGAH PERTAMA MELALUI TOPIK SEGIEMPAT MENURUT TEORI VAN HIELE

This research aims to describe the level of geometric thinking and geometric thinking processes of Junior High School students according to van Hiele's level of thinking on the topic of quadrilaterals. The qualitative approach is the research method used in this study through a case study method by testing the Van Hiele Geometry Test (VHGT) which was adapted from Usiskin's CDASSG and conducting interviews about the thinking process in the form of identifying, defining, and classifying which was adapted from the interview guide of Burger and Shaughnessy (1986). The subjects of this study were 297 grade VII and VIII students from two schools located in the Lembang sub-district. The results of the VHGT test showed that there were 81 students counting level 0 (visualization). The results showed that the students of class VII and VIII level 0 were as follows: 1) students were able to recognize the types of quadrangle but still affected by the prototype, 2) students were not able to classify quadrilaterals, and 3) overall description of the geometric thinking process level 0 in the form of identifying, defining, and classifying aspects according to van Hiele's thinking characteristics in general.

PEMODELAN MATEMATIKA TERHADAP PENYEBARAN VIRUS KOMPUTER DENGAN PROBABILITAS KEKEBALAN

The increase in the number of computer viruses can be modeled with a mathematical model of the spread of SEIR type of diseases with immunity probability. This study aims to model the pattern of the spread of computer viruses. The method used in this research is the analytical method with the probability of mathematical immunity. Based on the analysis of the model, two equilibrium points free from disease E1 and endemic equilibrium points E2 were obtained. The existence and local stability of the equilibrium point depends on the basic reproduction number R0. Equilibrium points E1 and E2 tend to be locally stable because R0<1 which means there is no spread of disease. While the numerical simulation results shown that the size of the probability of immunity will affect compartment R and the minimum size of a new computer and the spread of computer viruses will affect compartments S and E on the graph of the simulation results. The conclusion obtained by the immune model SEIR successfully shows that increasing the probability of immunity significantly affects the increase in the number of computer hygiene after being exposed to a virus.

ABSTRAKSI REFLEKTIF SISWA SEKOLAH MENENGAH PERTAMA PADA MATERI SEGIEMPAT DAN SEGITIGA

The purpose of this study is to determine a person's ability to perform mental activities mechanically in associating new information received with previously owned information (reconstruction) which is a reflective abstraction. The process of reconstructing the concepts of quadrilaterals and triangles by students uses the mental mechanism approach of APOS theory (interiorization, encapsulation, de-encapsulation, coordination). The process can be known by observing students and analyzing the results of student work, starting with determining 1 class to be given a mathematical ability test. 29 students were present when the math ability test was given. The results of the mathematical ability test were analyzed and then found 2 students of different sexes with moderate ability. The first student is male and the second student is female, hereinafter referred to as the research subject, then the research subject is given the task of quadrilateral and triangle. The results showed that female students had done all stages of reflective abstraction in APOS theory. So, that these students were at the level of relational understanding. Meanwhile, male students only did several stages in the reflective abstraction stage on the APOS theory so that these students were included in the level of instrumental understanding.

KORELASI PEMAHAMAN MATA KULIAH LOGIKA MATEMATIKA DENGAN SOFTWARE GEOGEBRA

This study investigated the use of a free GeoGebra application, where the ability of a GeoGebra software application had the potential to simplify and help the teaching and learning process in the informatics management study program, Medan State Polytechnic. The focus of this research was the incorporation of conventional method-based teaching, namely using the assistance of writing instruments such as pencils, pens, and paper when describing the Venn diagram in mathematical logic courses with the help of the GeoGebra application which made it easier for students to drew circles and determine the slices and combinations on the Venn diagram. The resulted of this study were obtained from the scores of student assignments and the results of interviews conducted online with the number of respondents consisting of 44 students who successfully uploaded assignments through the SIPADI application. The value analysis obtained was compiled into tables then processed using the SPSS application using the pair test and linearity test. Based on the output obtained, it was known that the GeoGebra value obtained the average value of learning outcomes or the mean of 75.9773, while for the average learning outcomes using conventional methods or the mean of 68.9091. The number of respondents or students who took the test amounted to 44 people, Std. Deviation for GeoGebra method was 5.800092 and conventional method was 5.56909, and Std. Error Means. Based on the results of descriptive statistical tests, the average value of the GeoGebra method > conventional method was 75.9773> 68.9091, so descriptively there was an average difference between the GeoGebra method and the conventional method.

PENGEMBANGAN LEMBAR KERJA PESERTA DIDIK MENGGUNAKAN SOFTWARE GEOGEBRA PADA MATERI TRANSFORMASI GEOMETRI

Geometry is a mathematical science that studied points, lines, planes, spaces, and the relationships of them. One of the topic is geometric transformation. The Several research found that students hadn’t understood the concept of transformation, so that it needed a teaching material especially student’s worksheet. The research aimed to develop valid, practical and effective student’s worksheet with GeoGebra on the geometry transformation in junior high school. The research method was used R&D (Research and Development) using a modification of the 4-D model. The development model consists defined, designed and developed. The results of the research indicated that (1) this product was valid according to media experts and material experts, (2) it was practical, (3) effective to be used in mathematics learning, especially geometric transformation.

PENGEMBANGAN LEMBAR KERJA SISWA MODEL KOOPERATIF TIPE NUMBERED HEADS TOGETHER UNTUK MENINGKATKAN HASIL BELAJAR

The aims of this study were to develop teaching materials of Mathematic Student Worksheets in class VIII SMP using cooperative learning model type Numbered Heads Together (NHT).The type of this research were development with the ADDIE model which were carried out until the implementations and stages due to the COVID-19 pandemic. The Research subject was at SMP Negeri 8 Merauke, in the class VIII by trial sample 6 students with comparison materials. The data collections were carried out through observations, interviews, tests and questionnaires. The results of developing student worksheets are categorized as valid with a percentage value of 95%. The students responses of questionnaire were included in the practical category with an.amount of 81.7%. The teacher response questionnaire included practical criteria with a percentage of 68.75%. The results of learning observations for the first meeting obtained a percentage score of 87%, the second meeting was 80% so that it met the practical criteria. The results of the N-gain test show that student worksheets using the NHT model can improve students achievement.

THE LEVEL OF CRITICAL THINKING SKILL ON SOLVING TWO-DIMENSIONAL ARITHMETICS PROBLEMS THROUGH RESEARCH-BASED LEARNING

Developing critical and collaborative thinking skills among learners was of significant importance in the 21st-century era. In this study, the researcher applied teaching and learning based on Research-Based Learning (RBL) to know the level of students critical thinking skill. The number of research samples was 30 students. This study used a triangulation research method, namely a combination of qualitative and quantitative methods. The quantitative method was obtained by using a learning outcome test and the qualitative method is obtained using a questionnaire and interview. Then the data that has been collected was analyzed using a t-test. Four students were chosen to represent critical thinking level 4, 13 students were chosen to represent Critical Thinking level 3, and 6 students were chosen to represent critical thinking level 2, 4 students were chosen to represent critical thinking level 1, and 3 students were chosen to represent critical thinking level 0. More subjects would be involved until the data was saturated. Students on low critical thinking were at Level 0. Based on the interpretation result of the t-test value, there was a significant difference between the control class and the experimental class, proved by the 0.000 figure in the statistical analysis. Therefore, it proved a significant difference in learning outcomes. However, the data that we obtained present a significant difference between the control class and the experimental class below 0.05. After we interpreted t-tabel = 2.04 on degrees of freedom 0.025, t-count of 0.000 was evident. Thus, a hypothesis was accepted since it was below 0.025. Qualitative methods show the results of interviews with 2 students.