Understanding Of Mathematical Concepts Research Articles

EKSPLORASI ETNOMATEMATIKA MOTIF RUMAH ADAT KAJANG LAKO JAMBI DALAM MENINGKATKAN PEMAHAMAN KONSEP MATEMATIKA SD

This research aims to (1) Describe the ethnomathematics contained in the Kajang Lako Jambi Traditional House Motif (2) Describe what mathematical concepts are contained in the Kajang Lako Jambi Traditional House Motif which can be used in elementary school mathematics learning. In this research, researchers used qualitative research with an ethnographic approach. The instrument used by researchers is a human instrument, researchers are directly involved in the field including observation, interviews, literature study and documentation. The data analysis techniques used are data reduction, triangulation, data presentation, and drawing conclusions. The results of this research are mathematical concepts found in the Kajang Lako Jambi traditional house, such as geometry, measurement and arithmetic. It can be concluded that the ethnomathematics exploration of the Kajang Lako Jambi traditional house motif can be used as a source of mathematics learning for high grade elementary school students in improving their understanding of mathematical concepts.

Efektivitas Penggunaan Media Pembelajaran Interaktif dalam Pembelajaran Matematika di Sekolah Dasar

Efektivitas Penggunaan Media Pembelajaran Interaktif dalam Pembelajaran Matematika di Sekolah Dasar

أثر استخدام إستراتيجية "Productive Struggle" في تحسين الفهم المفاهيمي في الرياضيات لدى طلبة الصف الخامس الأساسي

Objectives: The study aimed to identify the effect of using the “Productive Struggle” strategy in improving conceptual understanding of mathematics among fifth-grade students. Methodology: The study used the quasi-experimental method with a pre-post measurement. The study sample consisted of (30) students who were distributed equally into the two groups of the control and experimental study. And to achieve the objectives of the study, a conceptual understanding test was constructed with the three demonstrations (Explanation, Interpretation, Application), and its validity and reliability were verified in addition. To the observation card to determine the level of employment of “Productive Struggle” types among fifth grade students. Results: The results of the study showed that there were statistically significant differences between the arithmetic averages of the performance of students in the experimental and control groups in the conceptual understanding test and each of its manifestations and in employing the “Productive Struggle” types due to the teaching method and in favor of the experimental group. Conclusion: In light of the results of the study, the researchers recommend the necessity of employing the “Productive Struggle” strategy in teaching mathematics to fifth-grade students.

APOS Theory in Learning Mathematics (Using Trigonometry as an Example)

Introduction. One of the most well-known theories that allows us to study the process of structuring a concept in the mind of a student is the APOS theory, specially created for the study of mental processes in mathematical education and worthy of application in other disciplines. Despite numerous studies on methods of teaching mathematics, in recent years there have been few publications on the problem of students’ understanding of mathematical concepts; there are practically no works devoted to the study of the formation of mental structures in the course of students’ assimilation of mathematical concepts. The aim of the article is to analyze the process of mastering mathematical concepts using the example of trigonometric functions and present the results of the study in accordance with the stages of the APOS theory. Materials and Methods. The study sample included 102 first-year students of the Institute of Construction Engineering under Kazan State University of Architecture and Civil Engineering. The APOS theory was used to study students' perception of mathematical concepts, which allowed us to see the details of mathematical concepts formation at each stage of the APOS theory, as well as to identify characteristic errors and classify them. The empirical basis of the study includes the results of a written survey conducted among students. The quantitative characteristics of each stage of APOS were compared. Results. The effectiveness of the application of the APOS theory was shown, a questionnaire was developed which allowed studying the process of mathematical concept structurization in the student's mind. Within the APOS theory framework, differences in levels of understanding of trigonometry were identified, which allowed for the classification of errors made by students. It was found that most of the students who participated in the experiment made conceptual errors in learning the concept of function. The results demonstrated the importance of investigating the mental structures that emerge during the cognitive process to determine the intellectual reserves of learners. Discussion and Conclusion. The results of the study contribute to the development of scientific understanding of the process of structuring mathematical concepts in the minds of learners and methods for studying the mental structures of abstract concepts. The materials will be useful for university teachers, school teachers in the development of mathematics, as well as in the study of other disciplines.

PENGARUH KEMAMPUAN PEMAHAMAN KONSEP MATEMATIS TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA

The purpose of this research is to assess the extent to which students' understanding of mathematical concepts influences their ability to solve mathematical problems. This study was conducted at one of the junior high schools (SMPN) in Karawang Regency, using a quantitative approach and non-experimental method. The research subjects involved 34 students from class VII A, selected using purposive sampling technique. Data collection was carried out through two test instruments consisting of a set of descriptive questions covering indicators of both mathematical conceptual understanding and mathematical problem-solving skills. Simple linear regression analysis was employed in data processing for this research. The results obtained indicate, at a 95% confidence level, a significant influence of mathematical conceptual understanding on mathematical problem-solving abilities.

Elementary school students' numeracy ability in a socio-cultural context viewed by understanding mathematical concepts

This research aims to (1) Describe the numeracy of students with high, (2) Describe the numeracy of students with medium, and (3) Describe the numeracy of students with low understanding of mathematical concepts. The selected subjects were 3 out of 29 class 5B students at SDN Rungkut Menanggal II Surabaya. Tests and interviews served as the instrument. The data analysis is data condensation, data presentation, and conclusion. The results of this research are (1) The numeracy of high and medium students' concept understanding; they have been able to apply the formulating process; in the process of using, students are not yet able to determine strategies, are not able to apply concepts, are not able to do calculations; In the interpreting process, students are not yet able to evaluate mathematical results and conclusions. (2) The numeracy of low students' understanding concepts, it was found that students were able to formulate; in the process of using, students can determine strategies, are not yet able to apply concepts, can do calculations; in the process of interpreting students are not yet able to evaluate the results and conclusions of statements.

SYSTEMATIC LITERATURE REVIEW: STUDENTS' MATH COMPREHENSION SKILLS IN HANDLING MATH PROBLEMS

This study aims to conduct a literature review on students' ability to understand mathematical concepts when solving mathematical problems from primary to tertiary education levels. The method used was Systematic Literature Review (SLR), which reviewed 53 examples of research on students' ability to understand mathematical concepts. The sample consisted of indexed journals published between 2015 and 2022. Data were collected by documenting all articles related to students' understanding of mathematical concepts, including the year of the study, education level, sample size, and type of study. The results showed that in the last eight years, articles highlighting student characteristics and learning styles dominated, while articles on gender differences and learning media tended to be less popular among researchers. The majority of studies were conducted at the junior secondary level with sample sizes generally less than 30.

The Influence of Augmented Reality-Based Learning Media on the Understanding of Mathematical Concepts in Elementary School Children

This research investigates the impact of Augmented Reality (AR) based learning media on the understanding of mathematical concepts among primary school children. Employing a literature review method, the study outlines recent findings in literature concerning the application of AR in mathematics education. The results indicate that the use of AR can enhance motivation, active participation, and the understanding of mathematical concepts among primary school children. AR's ability to present material in a more concrete and applicable form has a positive impact on the understanding of concepts that are often challenging for students at their cognitive development level. Despite challenges in implementation and infrastructure development, this research provides a foundation for the integration of AR in mathematics education in primary schools. It is recommended that the implementation of AR be carefully considered in the primary school mathematics curriculum with adequate teacher training and appropriate infrastructure investment.

Flipped Classroom Model: Minimizing Gaps in Understanding Mathematical Concepts for Students with Different Academic Abilities

Each student has a different amount of time to fully understand information, students with high academic ability (UA) need less time than students with low academic ability (LA). Teachers should apply learning models that can facilitate their study time according to their individual needs. The aim of this research is to assess which learning model is most optimal in reducing the gap in understanding mathematical concepts between UA and LA students. Apart from that, this research also evaluates the effectiveness of implementing the flipped class (FC) model in increasing students' understanding of mathematical concepts, compared to the problem-based learning (PBL) model and conventional learning models. The research method used was the N-Gain Test and ANCOVA. The research results show that the FC model is the most optimal in reducing the gap in understanding mathematical concepts between LA and UA students. In addition, both FC and PBL models have proven effective in increasing students' understanding of mathematical concepts when compared to conventional models. Future research could consider combining the FC model with PBL or other learning models to see whether combining these models can improve students' understanding of mathematical concepts more significantly.

Understanding the Mechanism of Conducting Benchmark Test for the Infrastructure of Physical Education Curricula in the Age of Artificial Intelligence

The study aims to propose a vision for creating a standardized test according to the development of physical education curricula in the era of artificial intelligence, so that we can be able to measure student achievement and master the new curriculum standards. Based on the results, the following can be concluded: directing the teaching and learning process, and determining levels. For students, students’ teaching performance, students’ level of understanding and knowledge, application and achievement of lesson objectives in physical education. There is a strong correlation between most of the skills, knowledge, and behaviors that were measured in the study. This suggests that these skills, knowledge, and behaviors are related to each other, and that students who are high in one are more likely to have a high level in the other skills, knowledge, and behaviors. This is due to the fact that the students who participated in the study had a good level of performance in all the criteria that were measured. Based on the results, the following recommendations can be made: Focus on developing teaching skills and interaction with students, as they are closely related to the level of understanding and knowledge of students. Focus on developing knowledge and understanding of mathematical concepts, mathematical skills, and sporting values and behaviors’, as these skills and knowledge are closely linked to the application and achievement of lesson objectives in physical education.

KiPPs DALAM PEMBELAJARAN TOPIK PEMBEZAAN DAN PENGAMIRAN

Even though they have spent eleven years in the Malaysian education system, many students at the matriculation level are acknowledged to have weaknesses in the subject of Mathematics. The academic achievements of SES (Four Semester System) students in the field of mathematics appear disappointingly moderate. This is attributed to challenges in understanding mathematical concepts, leading to low academic performance. This study aims to examine the effectiveness of the use of Differentiation and Integration Fan (KiPPs) in learning differentiation and integration topics among SES students at Kelantan Matriculation College. In this study, a total of 36 SES students from Module I and Module 3 Semester II Session 2020/2021 were involved. Data collection was carried out using TOV scores, Quiz 1, Quiz 2, and the results of the second term examination (PSPM II), as well as observations during the learning process. Observational study findings indicated that students were more active in answering questions posed by the lecturer. This suggests that the innovative actions taken in this research are appropriate and effective. Various obstacles were encountered by the researcher throughout the study; however, the researcher felt satisfied seeing the students with low achievements actively participating and expressing enjoyment while answering the researcher's practice questions. Therefore, different approaches are needed for some students to understand and master the skills that will be used in the learning process. This study should be implemented across various streams and modules to assess overall effectiveness.

Analysis of Mathematical Problem Solving Ability of XI Class Vocational Students on Composition Function Material

This study aims to find out how well vocational students solve mathematical problems based on the composition function material. Mathematical problem solving ability is an ability that must be mastered by students because this ability is the core of mathematics. The location of this research is at SMK TI Garuda Nusantara and the main object of research is class XI students totaling 32 people in one class. The author used a descriptive qualitative approach. Several test questions were used as data collection methods. of 32 students in one class. It can be said that only 9 people were able to complete the test questions and get a good rating on each indicator. The results show that the problem solving ability of students in class XI of SMK TI Garuda Nusantara is classified as sufficient or moderate. This is very clear from the fact that only 28% of students who achieved perfect scores in the good category. 56% were rated medium, and 16% were rated low. The acquisition of the highest indicator value is in problem solving ability, while the lowest indicator is in the indicator of understanding the problem, this is due to the lack of understanding of basic mathematical concepts in students. In order for students' problem-solving skills to improve, researchers suggest that further research should use learning models or media that can help students understand mathematical concepts.

Teaching mathematics in an EFL context at higher education; before, during and after the COVID-19 pandemic: a comparative study

Teaching mathematics in an EFL context at higher education; before, during and after the COVID-19 pandemic: a comparative study

ETHNOMATHEMATICS OF SMALL BORDER ISLANDS: LUTUR BATU ON MOA ISLAND

The people of Moa Island have a cultural heritage in the form of Lutur Batu. Lutur Batu is a construction of large stones arranged side by side to form a circular wall. Lutur Batu is used to close village boundaries and as a garden fence which aims to protect plants from wild animals. This research aims to determine ethnomathematics studies on Lutur Batu on Moa Island. The ethnomathematics study of Lutur Batu on Moa Island in this research is expected to provide a deeper understanding of the local wisdom of the people of Moa Island, as well as contribute to the recognition, maintenance, and preservation of cultural heritage with mathematical value in the region. Furthermore, an understanding of the geometric patterns and construction of Lutur Batu can be adopted in mathematics learning at school to increase students' interest in learning and understanding of mathematical concepts.This qualitative research focuses on an in-depth understanding of ways of thinking and using mathematics in the traditions and practices of making Lutur Batu in Moa Island. The results of the analysis on Lutur Batu and the manufacturing process showed that there are mathematical concepts such as circles, cylinders, comparisons, and statistics. Lutur Batu and the Mathematical concepts contained therein can be used in Mathematics learning at school to enrich learning materials, increase learning motivation and students' understanding of Mathematics concepts. Apart from that, it can increase students' insight and knowledge regarding the cultural heritage of Moa Island

DEVELOPMENT OF STUDENT’S KNOWLEDGE USING THE METHOD OF GENERALIZATION IN PRIMARY GRADE MATHEMATICS LESSONS

This article describes how to use the generalization method in elementary school mathematics classes to develop students' critical thinking skills, in-depth mastering of mathematical topics, perfect understanding of mathematical concepts, and ways to draw mathematical conclusions.

Pythagorean Calc Aplication: Is It Effective in Mathematical Understanding Ability?

Understanding mathematics requires deep thinking to learn it meaningfully. However, empirically, many students face complex difficulties in understanding mathematical concepts. This study aimed to determine the quality of improvement before and after using the Pythagorean Calculator application and to find out the effectiveness of using the Calc application on the student's ability to understand mathematics. This research uses a quantitative approach with a quasi-experimental method. This study was conducted at one of the private MTs in Ciamis district, West Java, by taking samples using purposive sampling, namely Class VIII B in the 2023/2024 academic year with a total of 21 students. Data was collected through a high-level mathematical understanding ability test based on the Polya indicator. The results of the research show that the quality of improvement in mathematical understanding abilities after learning assisted by the Pythagorean Calc application on the Pythagorean theorem material with the level of difference is in the medium category. Using the Pythagorean Calc application is effective in improving mathematical understanding abilities and is classified as a strong effect category.

The influence of mathematical disposition on high school students' understanding of mathematical concepts

One of the subjects often considered challenging by students is mathematics, leading to difficulties in learning the subject. This is due to students' lack of ability to comprehend mathematical concepts. This research aims to investigate the influence of mathematical disposition on the mathematical concept understanding of high school students. The study utilizes a correlational survey method with a quantitative approach. The study employs a quantitative approach with a correlational survey method. The population includes all twelfth-grade science students at SMA Negeri 1 Sedayu. The sampling technique utilizes random sampling, with a sample size of 65 students selected from two twelfth-grade science classes. The instruments used in the research consist of a mathematical disposition questionnaire and an essay test on the ability to understand mathematical concepts. Data analysis is performed through classical assumption tests and simple regression analysis. The classical assumption tests include normality and linearity tests. The results indicate a significant positive influence of mathematical disposition on students' understanding of mathematical concepts, with a contribution of mathematical disposition to the understanding of mathematical concepts amounting to 34.8%.

Peningkatan Pemahaman Konsep Pecahan Siswa Sekolah Dasar dengan Media Kertas Lipat

The background to this research is the low understanding of concepts experienced by students, and the lack of student interest in learning mathematics. For this reason, teachers must choose the right learning media so that they can increase students' understanding of concepts, as was done by the teacher in class IV MI Darul Ulum 02. This research was conducted at MI Darul Ulum 02 for the 2023/2024 academic year. This research aims to analyze the increase in understanding of mathematical concepts regarding fractions in class IV using folded paper learning media. The method used in this research is observation, directly observing the mathematics learning process and interviews with class IV teachers. The results of this research show that the use of folded paper media increases students' understanding of concepts in mathematics regarding fractions. This is shown when the teacher asks students questions, and the students can answer correctly.

Analisis Dampak Kegiatan Pasar Numerasi terhadap Peningkatan Hasil Belajar Siswa Kelas V UPTD Satdik SDN Curahtakir 4

Numeracy markets are activities that imitate market situations that are closely related to everyday life. Students are given the opportunity to design, manufacture, market, and sell goods. This research aims to help students improve their numeracy skills, increase their understanding of basic mathematical concepts, and improve their social skills and creativity through numeracy market activities. This type of research is descriptive with a qualitative approach. The research subjects consisted of fifth grade students at UPTD satdik SDN Curahtakir 4. The stages in this research included observing placement schools and their problems, designing activities as solutions to problem solving, carrying out AKM pretests, carrying out numeracy market activities, carrying out AKM posttests, and then analyzing and evaluating . The research results show that it is very suitable for elementary school (SD) students because it offers new experiences in interpreting mathematical concepts. This numeracy market activity also has a positive impact on improving student learning outcomes in the context of mathematics. Apart from that, the findings from this research are that the AKM numeracy post-test scores for class V students have increased compared to the previous AKM numeracy pre-test scores.

Enhancing mathematical education with spatial visualization tools

IntroductionThis article highlights the innovative approach of incorporating spatial visualization tools in mathematics education, specifically focusing on the exploration of virtual environments and 3D printing. By integrating these advanced technologies, educators can enhance the learning experience and facilitate a deeper understanding of mathematical concepts. This research delves into the potential benefits and practical applications of these tools, shedding light on their effectiveness in fostering spatial reasoning skills and promoting active student engagement. The study aims to uncover new avenues for leveraging technology in the mathematics classroom and re-imagining the teaching and learning process.MethodsTo assess the progress in spatial visualization ability, the Revised Purdue Spatial Visualization Test (Revised PSVT: R) was administered as both a pre-test and a post-test to a sample of 255 students divided into control and experimental groups.ResultsThe findings indicate that the control group exhibited no significant development (p = 0.163) and had a minimal effect size of change (g = 0.035), whereas the experimental group demonstrated a substantial improvement in spatial visualization ability (p < 0.05) with a noteworthy medium effect size of change (g = 0.325). Furthermore, an analysis of variance was conducted to compare the mean normalized change in spatial visualization ability between the control and experimental groups. The results, with 95% confidence, establish that the normalized spatial visualization change is significantly higher in the experimental group. Specifically, the experimental group witnessed a 25% increase in spatial visualization skills, while the control group only experienced a 5% increase.DiscussionOur study demonstrates the significance and effectiveness of integrating spatial visualization tools in mathematics education to enhance students’ spatial reasoning skills and mathematics understanding.