Kalamatika (E-Journal)
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THE INFLUENCE OF THE TREFFINGER LEARNING MODEL AND SELF-DIRECTED LEARNING ON STUDENTS’ MATHEMATIC CRITICAL THINKING SKILLS
No full textThe study investigated the influence of the Treffinger learning model and self-directed learning on the critical thinking skills of junior high school students. The Treffinger learning model is one of the few models addressing the problem of creativity and providing practical suggestions on how to achieve cohesion. On the other hand, self-directed learning is a mental process to increase the knowledge, skills, and self-achievement of individuals with self-planned and self-conducted activities. The research employed a post-test experiment and control group design with two groups. The study employed two groups; one group was treated using the Treffinger learning model, while the other group was treated using a conventional model. Both groups were analyzed using a self-directed learning questionnaire and a critical mathematical thinking skills test. The sample of this research comprised 88 Grade 8 students purposefully selected in relation to the research objectives. The results of the study showed that the Treffinger learning model was statistically significant in enhancing critical mathematical thinking skills compared to the conventional learning models. Additionally, the study found that students who exhibited high levels of self-directed learning were more likely to benefit from the Treffinger learning model than the conventional model, with a statistically significant mean difference of 3.05 points
Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Asesment Kompetensi Minimum Berdasarkan Teori Kastolan
No full textIn studying geometry, it is common for students to make various errors when working on word problems. Although some students understand the example problems, they may be confused and make errors when presented with different questions. This study employed a qualitative descriptive approach to examine the types and causes of errors made by Grade 8 students from a junior high school in Pronojiwo, Indonesia. The study involved 40 students, with six students selected for interviews. Data were collected using descriptions and interviews. The research employed three procedural stages: preparation, implementation, and data analysis. Data analysis involved data reduction, data encoding, and conclusions. The analysis revealed that 23.3% of students made conceptual errors, 27% made procedural errors, and 44.5% made technical errors. The factors contributing to these errors included students' lack of focus on reading the questions, limited understanding of the material, haste in completing the questions, insufficient knowledge of the problems in the questions, and carelessness in checking their answers
LEARNING SYSTEM OF LINEAR EQUATIONS WITH APTITUDE TREATMENT INTERACTION MODEL FOR VOCATIONAL HIGH SCHOOL
No full textThis project aims to employ the aptitude treatment interaction model in the teaching system of linear equations as an alternative learning approach for high school students pursuing vocational careers. Instructional design was utilized to develop the learning model. An essential aspect of applying the aptitude treatment interaction model to learning design is the analysis of student requirements. Learning outcomes and performance goals are thoughtfully considered and aligned with instructional objectives. The findings suggest that educators should utilize the aptitude treatment interaction model when teaching systems of linear equations. The effectiveness of the learning model depends on how well it is tailored to the student's abilities.Tujuan penelitian ini adalah untuk memberikan alternatif pilihan desain pembelajaran, dengan menggunakan model aptitude treatment interaction pada materi sistem persamaan linear untuk siswa SMK. Penulisan ini menggunakan desain instruksional untuk mengembangkan model pembelajaran. Pengembangan desain pembelajaran dilakukan dengan menganalisis kebutuhan peserta didik. Tujuan kinerja dan hasil belajar dibahas secara rinci dan disesuaikan dengan tujuan instruksional. Hasil penelitian ini menunjukkan bahwa desain pembelajaran pada materi sistem persamaan linear dengan menerapkan model aptitude treatment interaction direkomendasikan bagi pendidik dalam melaksanakan pembelajaran sistem persamaan linear. Hal ini terjadi karena strategi pembelajaran (treatment) yang efektif diterapkan kepada siswa adalah berdasarkan kemampuannya masing-masing, sehingga dapat membantu siswa dalam memahami sistem persamaan linear
ANALYSIS OF PRIMARY SCHOOL STUDENTS' MATHEMATICAL CONCEPTUAL UNDERSTANDING BASED ON LEARNING INTEREST
No full textThis research utilized a qualitative approach to providing a descriptive and in-depth exploration of elementary school students' mathematical and conceptual understanding of their learning interests. The study includes 20 participants, selected based on the categories of their learning interests, with three representatives chosen from each category. Participants are also selected based on their age, according to Piaget's theory, and communication abilities. Data collection techniques involve data reduction, data categorization, and data verification. Based on the research findings and discussions, it can be concluded that students with high learning interests demonstrate a strong understanding of mathematical concepts. Similarly, students with moderate learning interest exhibit a commendable grasp of mathematical concepts, while students with low learning interest tend to have lower conceptual understanding. For future research, it is recommended to explore the use of instructional media to assess children's learning interests
MATHEMATICAL REPRESENTATION ABILITY OF PROSPECTIVE MATHEMATICS TEACHERS IN SOLVING TRIGONOMETRIC PROBLEMS
No full textThis study aims to investigate the proficiency of prospective mathematics teacher students in mathematical representation. To achieve this goal, we used a qualitative research design with a descriptive approach. The research subjects consisted of three undergraduate students from Mathematics Education department at a private university in Yogyakarta. Data were collected using a test for mathematical representation ability and interviews. The data were analysed descriptively using techniques by Miles and Huberman. It shows that the mathematical representation ability of prospective teacher students was in low category. This can be seen from the average achievement of indicators of mathematical representation ability (34.74%). The ability to create and use representations for collecting/organizing, recording, and communicating mathematical ideas is 33.33%. The ability to select, apply and translate various forms of representation mathematics to solve problems is 29.76%. And the ability to use multiple representations is 41.11%
DEVELOPMENT OF PBL E-MODULES ON POLYHEDRON CONSTRUCTIONS FOR GEOMETRICAL THINKING ABILITY
No full textThis research aimed to address the issue of low geometry proficiency among students and the lack of teaching materials and assess the validity and practicality of utilizing PBL e-modules as a teaching aid. The research employed the ADDIE model as a development method. To assess the e-module's validity, three media and three material experts were consulted. The material expert evaluation yielded a score of 3.60, while the media expert evaluation yielded a score of 3.29, indicating that the media and material of the e-module are valid for use as teaching materials. Furthermore, a small class trial involving ten students demonstrated a practicality score of 3.35, signifying highly practical results. The field test resulted in a score of 3.25, indicating that the PBL e-module is practical. The teacher's response yielded a score of 3.74, indicating that it is practical. Consequently, the PBL e-modules developed for the geometric material on polyhedron thinking skills are valid and practical, making them suitable as teaching materials in the learning process
CRITICAL THINKING SKILLS OF YEAR 10 SANGUINIS STUDENTS IN LEARNING BASED ON NITENI, NIROKKE, AND NAMBAHI
No full textThe study aimed to examine whether Tri-N-based trigonometry instruction improved students' critical thinking skills and sanguine personality. Single-subject research with an ABA design was the method used in this study. The stages of this study were the initial Baseline (A), the Intervention (B), and the second Baseline (A'). Year 10 science students with sanguine personalities who were chosen using a purposive sampling technique served as the study's subjects. This study employed observation methods, testing tests, and documentation for data collection. Data analysis within and between conditions are the methods used to analyze data. The findings of this study revealed that using Niteni, Nirokke, and Nambahi learning on trigonometry improved students' critical thinking skills with sanguine dispositions.Tujuan dari penelitian ini adalah untuk memastikan apakah instruksi trigonometri berbasis Tri-N meningkatkan kemampuan berpikir kritis dan kepribadian optimis siswa. Penelitian dengan subjek tunggal dengan desain ABA merupakan metode yang digunakan dalam penelitian ini. Tahapan penelitian ini adalah Baseline awal (A), Intervensi (B), dan Baseline kedua (A'). Siswa kelas X IPA berkepribadian optimis yang dipilih dengan menggunakan teknik purposive sampling dijadikan sebagai subjek penelitian. Penelitian ini menggunakan metode observasi, tes tes, dan dokumentasi untuk pengumpulan data. Analisis data di dalam dan di antara kondisi adalah metode yang digunakan untuk menganalisis data. Temuan penelitian ini mengungkapkan bahwa pembelajaran berbasis Tri-N (Niteni, Nirokke, dan Nambahi) pada materi trigonometri meningkatkan kemampuan berpikir kritis siswa berwatak optimis
PROBING-PROMPTING LEARNING: ITS EFFECT ON IMPROVING CONCEPTUAL UNDERSTANDING IN MATHEMATICS
No full textUnderstanding mathematical concepts plays a crucial role in students achieving favorable learning outcomes. However, there remains room for improvement in students' grasp of these concepts. The main objective of this research was to assess how effective the probing prompting learning model is in improving students' understanding of mathematical concepts. This research employed the quantitative approach with the experimental method. Used tests, observations, and questionnaires to collect the data. The study included 25 students in the experimental group and 26 students in the control group. The findings showed: 1) The average percentage of teacher activity was 96.30% (“very good” category); 2) The t-test analysis findings showed a significant difference in the enhancement of understanding of mathematical concepts between students exposed to the probing prompting learning model (high category) and those using conventional learning approach; 3) Students responded positively to the probing prompting learning model, as evidenced by their attitude. In conclusion, this study suggests that the probing prompting learning model can serve as an effective alternative for facilitating learning and improving students' understanding of mathematical concepts
ENHANCING STUDENT NUMERACY AND LITERACY WITH GEOGEBRA: A CASE IN NUMERICAL METHODS
No full textRapid advancement in technology has increased the significance of numerical literacy skills. The numerical methods course requires numerical literacy skills. The course enables students to solve a mathematical problem by interpreting the answer using an approximation rather than an actual value. This research used a descriptive quantitative method. The population of this study consisted of 80 university students enrolled in a numerical methods course. The sampling technique used a saturated sample, which involved everyone in the population as the sample. Data were collected from the learning outcomes test and questionnaire responses. The data were analyzed using a quantitative descriptive statistical analysis technique, and the data analysis computations were performed using SPSS Statistics 2. The study showed that the students' Numeracy and Literacy Skills improved when GeoGebra-assisted teaching materials were implemented in the numerical methods
EFFECT OF GEOGEBRA TOWARDS STUDENTS’ INDEPENDENT LEARNING IN MATHEMATICS
No full textMathematics learning independence can vary among students, with some showing greater initiative than others. This study analyzed the level of independence in learning quadratic functions among junior high school students who were using the GeoGebra application. The study involved 36 Year 9 students and employed a qualitative descriptive method. Data collection techniques included a questionnaire containing 30 positive and negative statements with eight indicators to determine how students respond to independent learning in mathematics using the GeoGebra application. The study found that using the GeoGebra application had a positive impact on learning mathematics, specifically in quadratic functions