Jurnal Prinsip Pendidikan Matematika

ANALYSIS OF STUDENTS' MATHEMATICAL CONCEPTUAL UNDERSTANDING ON THE TOPIC OF COMMON TANGENTS OF CIRCLES BASED ON PIRIE-KIEREN THEORY IN VIEW OF STUDENTS' INITIAL ABILITIES

2024-08-18T14:40:04+00:00

This study aims to determine students' abilities in understanding mathematical concepts when solving mathematics problems on the topic of common tangents of circles, as viewed through Pirie and Kieren's Theory. This research is a qualitative descriptive study. The subjects of this research are 36 students of class XI.6 at SMA N 2 Semarang, with three students selected from each category of low, medium, and high abilities. The data collection technique used was a test. Subjects were analyzed based on indicators from Pirie and Kieren, namely Primitive knowing, Image making, Image having, Property noticing, Formalizing, Observing, Structuring, and Inventising. The study results show that students with low conceptual understanding abilities only met the indicators of restating concepts and classifying objects according to their properties, thus, they remain at the Image Having layer. Students with medium conceptual understanding abilities have reached the indicators of using, utilizing, and selecting specific operational procedures, thus, they remain at the Observing layer. Meanwhile, students with high conceptual understanding abilities have met all the indicators of conceptual understanding abilities but are still at the Structuring layer.

THE INFLUENCE OF PROBLEM-BASED LEARNING (PBL) MODELS BASED ON SCIENCE, TECHNOLOGY, ENGINEERING, AND MATHEMATICS (STEM) ON STUDENTS' CREATIVE THINKING ABILITIES

2024-08-27T09:11:35+00:00

This research aims to determine the impact of implementing a STEM-based PBL learning model in improving students' creative thinking abilities. The research method used is quantitative with a Pre-test and Post-test Nonequivalent Control Group design. The research population involved all class VII students at Darut Tauhid Middle School, totaling 44 students. The research sample consisted of 22 students from class VII A as the control class and 22 from class VII B as the experimental class. The research results show that implementing student learning and activities using the STEM-based PBL model is considered good and effective in accordance with the objectives. The data obtained showed normal and homogeneous results. The Independent Sample T-test significantly influences students' creative thinking abilities when using the STEM-based PBL model compared to conventional learning models. It can be concluded that there is a significant difference in the creative thinking abilities of students who use the STEM-based PBL model compared to students who follow the conventional learning model in social arithmetic material at Darut Tauhid Middle School, with a significance value of 0.000 < 0.05.

ANALYSIS OF FIRST-YEAR MATHEMATICS EDUCATION STUDENTS' UNDERSTANDING OF TRIGONOMETRY COURSES BASED ON APOS THEORY

2024-08-18T14:40:07+00:00

This study is conducted to analyze the understanding of students' concepts in trigonometry courses based on the theory of APOS (action, process, object, and scheme). Based on previous research, students had difficulty understanding the concept of trigonometry, so they had difficulty applying the common trigonometric formula, explaining each one's relation to the comparative trigonometry, and performing calculations and algebra calculations. This type of research is qualitative research descriptive. The subject of the study is a student in the mathematics education semester for two academic years, 2023-2024. Randomly selected research samples using simple random sampling. Analyzing five student responses in the Trigonometry course reveals variations in conceptual understanding based on the APOS theory. Some students successfully followed the stages of action, process, object, and schema comprehensively, while others struggled to apply the correct concepts, particularly in solving problems using trigonometric principles. From this research, it can be concluded that it is important to understand the concept of trigonometry so that the subject can answer a question based on APOS theory

APPLICATION OF THE PROBLEM-BASED LEARNING MODEL TO IMPROVE MATHEMATICS LEARNING OUTCOMES FOR SEVENTH GRADE JUNIOR HIGH SCHOOL STUDENTS

2024-08-18T14:40:16+00:00

This research aims to improve the mathematics learning process and outcomes of class VII students at SMPN 3 Sabak Auh on whole number and fraction operations. The method used is classroom action research, which includes planning, action implementation, observation, and reflection stages. The research subjects consisted of 34 students with various levels of academic ability. The data collected includes teacher activities, student activities, and mathematics learning outcomes. Data collection instruments include teacher and student activity observation sheets and students' mathematics learning outcomes tests. The research results showed an increase in the number of students who achieved the KKM from the initial score to cycles I and II, from 52.94% in the first cycle to 76.47% in the second cycle. Overall, researchers' application of the Problem-Based Learning model succeeded in improving the learning process. Apart from that, there was also a significant increase in the mathematics learning outcomes of class VII students at SMPN 3 Sabak Auh in the material on operations on integers and fractions.

IMPLEMENTATION OF THE PBL MODEL TO IMPROVE THE MATHEMATICAL PROBLEM-SOLVING ABILITY OF CLASS XII MIPA HIGH SCHOOL STUDENTS

2024-08-18T14:40:10+00:00

This research aims to improve the learning process and mathematical problem-solving abilities (KPMM) of class XII MIPA students at SMA Negeri 1 Langgam by applying the Problem-Based Learning (PBL) model. This research is collaborative classroom action research, where researchers and mathematics teachers collaborate to implement the action. Researchers carry out actions while mathematics teachers act as observers during the learning process. This research took two cycles and used various learning tools and data collection instruments. The tools used include syllabus, Learning Implementation Plan (RPP), Student Worksheets (LKPD), teacher activity sheets, student activity sheets, and KPMM tests as data collection instruments. Analysis of activity sheets shows that there has been an improvement in the learning process, with learning becoming more in line with the implementation plan and students appearing more active. In addition, KPMM data analysis shows a significant increase from cycle I to cycle II, with the percentage of students who meet the KPMM criteria increasing from 69.39% in the first cycle to 83.80% in the second cycle. These findings conclude that applying the PBL model effectively improves the learning experience and KPMM results of students at SMA Negeri 1 Langgam in the 2023/2024 academic year.

ANALYSIS OF MATHEMATICS PROBLEM-SOLVING ABILITY BASED ON SOLO TAXONOMY VIEWED FROM STUDENTS' MATHEMATICS ABILITY

2024-08-18T14:40:13+00:00

Students' abilities in mathematics are very necessary in learning mathematics. One way to determine the level of students' ability to solve mathematical problems is with the SOLO taxonomy. This taxonomy consists of five levels: Prestructural, Unistructural, Multistructural, Relational, and Extended Abstract. This research is descriptive qualitative research. The research subjects were taken from 3 students in class X-4 of SMA Negeri 1 Jombang, and the criteria were that students had high, medium, and low mathematics abilities. The data collection methods used were tests, interviews, documentation, and supporting instruments in the form of problem-solving tests, interview guides, and documentation. Time triangulation was carried out to check the validity of the research data. The results of research on mathematical problem-solving abilities based on the SOLO taxonomy for subjects with high mathematical abilities and subjects with moderate mathematical abilities show that the subjects are at the Extended Abstract level, which means that the subjects can prove the truth regarding the results obtained so that the results obtained are relevant so that the subjects can make hypotheses in the form of formulas, patterns, or rules for solving problems. Students can generalize or apply mathematical concepts involved in the problem to similar situations or problems. Subjects with low mathematical ability indicate that the subject is at the Multistructural level, which means the subject can describe the steps in solving the problem, but there are still calculation errors.

THE IMPLEMENTATION OF THE PROBLEM-BASED LEARNING (PBL) MODEL TO ENHANCE MATHEMATICAL PROBLEM-SOLVING SKILLS OF GRADE VIII STUDENTS IN JUNIOR HIGH SCHOOL

2024-08-18T14:39:58+00:00

The improvement of students' mathematical problem-solving skills (KPMM) is a significant aspect of this research, which also aims to enhance the quality of the learning process. This research is a classroom action research conducted in two cycles during the odd semester of the 2023/2024 academic year, with students in class VIII3 as the research subjects. The learning tools developed include a syllabus, lesson plans (RPP), and learner worksheets (LKPD), while data collection instruments were obtained from teacher and student activity sheets and KPMM tests. The results of this study show that the learning process improved after the implementation of the PBL model in each meeting. The KPMM tests conducted showed an increase in each cycle after the implementation of the PBL model, with the average KPMM test scores in cycle I being 59.8 and in cycle II being 81, higher than the initial test score of 40.6. Based on the results presented, the implementation of the PBL model can enhance the learning process towards a more effective direction and improve the KPMM of students in class VIII3 at SMP Negeri 20 Pekanbaru.

ENHANCING MATHEMATICAL COMMUNICATION SKILLS OF GRADE IX STUDENTS USING THE CTL LEARNING MODEL ON QUADRATIC FUNCTION MATERIAL

2024-08-18T14:39:55+00:00

This research aims to determine the difference in improving mathematical communication skills between students using the Contextual Teaching and Learning (CTL) model and students using conventional learning in class IX of SMP Negeri 13 Tanjungpinang. The type of research used is Quasi Experiment with a pretest-posttest control group research design. The population in this study were class IX students of SMP Negeri 13 Tanjungpinang for the 2023/2024 academic year, namely classes IXA and IXB. Samples were taken using the saturated sample determination method. The sample in this study was class IX A as the class and class IX B as the control class. The research data obtained was qualitative and quantitative. Qualitative data was obtained through observation sheets on implementing mathematics learning using the Contextual Teaching and Learning (CTL) model. Meanwhile, quantitative data was obtained from the results of the pretest-posttest of students' mathematical communication skills in the experimental class and control class, which was then determined by the N-Gain of the two sample classes. The research results showed that the average increase in N-Gain in students' mathematical communication skills in the control class was 0.39, and in the experimental class was 0.69. Based on the N-Gain results, it can be concluded that there is an increase in the mathematical communication skills of students who study with the Contextual Teaching and Learning (CTL) learning model compared to students who study with conventional learning.

ENHANCING MATHEMATICAL COMMUNICATION SKILLS OF THE EFFECT OF THE ROUND TABLE TYPE COOPERATIVE LEARNING MODEL ON LCM AND GCD MATERIALS ON STUDENT LEARNING OUTCOMES AT SDN JOMBANG

2024-08-18T14:39:51+00:00

The purpose of this study is to identify how the learning outcomes of SDN Jombang students affect by applying the Round Table type cooperative learning model to GCD (Greatest Common Divisor) and LCM (Least Common Multiple) teaching materials. This quantitative study uses experimental methods. All grade 5 students of SDN Jombang were used as a research population, with the experimental group of VA class of 24 students and the VB class control group of 24 students. The experimental group applied Round Table type cooperative teaching, while the control group applied conventional teaching. The instrument used is a test sheet. The instrument in this study did not use expert validation because it used a package book that had been booked. This study implements an Independent Sample t-test to analyze the data. Found Sig value 0.854 more than sourced from data processing and analysis using SPSS 20 so that H0 is accepted. So the learning outcomes of students there is no difference when applied Round Table type cooperative teaching with conventional teaching. The influence of the round table type cooperative learning model is very small, which is 1.56%.

THE IMPORTANCE OF MATHEMATICS LEARNING IN DEVELOPING EARLY CHILDHOOD NUMERACY SKILLS

2024-08-18T14:39:48+00:00

This study describes the importance of mathematics learning in developing early childhood numeracy skills. This research uses a qualitative descriptive method, with the subject being a 3-year-old child. Data collection was done through direct observation and interviews. The results show that children have difficulty understanding the concept of numbers. Still, using appropriate methods such as counting games with candy, number recognition through pictures, and using clay to form numbers can improve children's counting skills. Effective and fun maths learning can provide a strong foundation for children's future thinking and problem-solving skills. Therefore, educators and parents must provide exciting and effective arithmetic education to build a strong foundation for children's cognitive abilities.