Mathematical Material Research Articles

수학 학습 촉진을 위한 애니메이션 자료 제작 연구: 파이썬 라이브러리 Manim을 기반으로

Objectives The purpose of this study is to propose guidelines for producing animation materials as a way to help students understand the characteristics of mathematics and mathematical concepts and principles, and to in-troduce Manim, an effective mathematics animation material production tool. Methods We investigated animation production principles that can be helpful in the math animation production process, and applied them to already produced math animation materials to find out their suitability as math ani-mation production principles. In addition, the scope of GeoGebra's animation implementation functions, which are used in the production of mathematical materials, was confirmed, and the possibilities of supplementing the limi-tations of various functions revealed here were explored through Manim. and we looked at the process of produc-ing animation materials using Manim and the results. Results As a result of analyzing whether the animation production principles adopted and applied are valid for the production of mathematics animation materials, we found some requirements that should be modified and sup-plemented from the perspective of mathematics education, and derived improved guidelines for the production of mathematics animation materials. GeoGebra, one of the production tools, has an animation composition func-tion, but there were limitations in its implementation functions, such as setting text condition input and repeating the target hiding operation. In comparison, although Manim requires an understanding of basic Python grammar, it was found to have great advantages in producing mathematical animation materials, such as intuitive com-mands, convenient property change function, free expression ordering, and various animation effects. Conclusions Previous animation production research has not sufficiently considered the abstract nature of math concepts. accordingly, the need for improved guidelines that cover the expression of mathematical concepts, and the use of formulas as the main object of animation has emerged. GeoGebra has limitations in its animation com-position function, so the need for it is increasing along with the expansion of new mathematical animation material creation tools that go beyond that function. accordingly, it was confirmed that Manim, which uses simple com-mands as an alternative production tool, is a very specialized tool for creating mathematical animations.

LEARNING MATHEMATICS IN TELUKDALAM MARKET: CALCULATING PRICES AND MONEY IN LOCAL TRADE

This study aims to develop a contextual mathematics learning method using the market as a learning medium in Telukdalam. The main focus of the research is to enhance students' abilities in calculating prices and money within local trade. Through this approach, students not only learn basic mathematical concepts but also relate them to real-life situations they encounter in their daily lives. A literature review method is employed to examine relevant literature on contextual mathematics learning and the importance of social interaction in the learning process. The results indicate that learning experiences in the market can enhance students' motivation and understanding of mathematical material. Additionally, this learning approach enriches local social and cultural values, leading students to appreciate their environment and traditions more. It is hoped that the findings of this study will contribute to the development of a more relevant and contextual mathematics curriculum.

Developing the Competence of Using Tools and Materials in Learning Mathematics for 4th-Grade Students in Geometry and Measurement Content

In Vietnam's general education program, Mathematics is a significant tool for many other subjects. Mathematics originates from practicality and serves as the "key" in most human activities, as well as in learning other subjects. In teaching Mathematics, teachers not only guide students to acquire knowledge but also form and develop students' abilities and intellectual qualities, training their critical thinking and creativity. The ability to use tools and learning materials for Mathematics is one of the five components of mathematical competence in the 2018 Mathematics curriculum for general education. This article focuses on proposing some basic measures to develop and nurture the ability of using tools and materials in learning Mathematics for fourth-grade students through teaching Geometry and Measurement content.

Development and validation of contextualized learning material in mathematics (Bikol Central) for kindergarten

Development and validation of contextualized learning material in mathematics (Bikol Central) for kindergarten

Development of Interactive Learning Video Media to Improve Mathematical Representation Ability on Data Presentation Material

One of the main challenges in learning mathematics is overcoming students' difficulties in understanding abstract mathematical material and the lack of engaging and interactive teaching methods. The aim of this research is to develop interactive learning videos that are valid, effective, and practical. This Research and Development (R&D) study uses the ADDIE model. The research subjects were 15 students of class VII A MTsS Ash-Shalihin.. The results of the study show that the interactive learning video is highly valid with a score of 3.7 from expert evaluations. Teacher responses received a score of 3.67, which is categorized as very practical, while student responses received a score of 3.34, indicating that the video is very effective. The t-test and N-Gain test showed a value of 0.67, indicating an improvement in students' mathematical representation abilities in the moderate category. Thus, the learning video has proven to be effective.

A systematic review and meta-analysis of intervention studies on mathematics and science pedagogical content knowledge

Pedagogical content knowledge (PCK) has been considered as professional knowledge that teachers need to effectively instruct students. Empirical studies have been conducted to enrich teachers' PCK through interventions such as professional development programs. In this study, we conducted a systematic review and meta-analysis of studies about PCK interventions and their quantitative evaluation among mathematics or science teachers at the elementary and secondary education levels. We identified 101 effect sizes (42 for multiple group comparison designs and 59 for multiple time point comparison designs) and found that the interventions had a positive effect in both designs. The results of the meta-regression analysis showed that in the multiple group design, the effects differed by intervention target, with higher scores for the PCK intervention than for the CK-only intervention, and in the multiple time point design, the effects differed by subjects treated, with higher scores for the science materials than for the mathematics materials. These results not only demonstrate the average effectiveness of previous studies aimed at improving teachers' PCK but also provide insights into effective designs for professional development methods that promote PCK acquisition.Systematic review registrationhttps://osf.io/vf4hq/?view_only=068483e4e82c42cd994e2c8174bd0a64.

The Development of Contextual Approach E-Modules to Improve Students’ Mathematical Problem Solving Ability on Junior High School

This study aims to develop an E-Module that can be used by teachers to support the learning process so that students more easily understand material in interactive mathematics at SMPN 4 Cipeundeuy. In order to do so, this research using research and development (Reaserch and Development) with the 4D development model (Define, Design, Develop, and Disseminate). Research conducted using this model is limited to step 3 (Define, Design, Develop) due to time and cost constraints during the research. The subjects of this study were class IX students for limited trials and class VIII students for wide trials. The data that has been collected is then analyzed using Microsoft Excel. The results of the study on the feasibility of teaching materials were seen from the results of the assessment of lesson plans, worksheets, and media with a percentage of 93.80% and the results of assessments by two mathematics teachers with a percentage of 89%. Teaching materials were tested for practicality using a student response questionnaire with a percentage of 90%. Thus this teaching material can be implemented and can be used. The results of this study can be categorized as valid, practical, and very feasible because they have received a good due diligence.

Analysis of Mathematical Connection Ability and Self-Confidence on Junior High School Students

This research is motivated by the importance of students’ mathematical connection abilities and self-confidence in learning mathematics. Mathematical connection ability is an important factor in understanding mathematical concepts. The aim of this research is to analyze the level of students’ mathematical connection abilities and junior high school students’ self-confidence. The method used in this research is a descriptive-qualitative method. The research subjects were 37 students in class VIII-C of SMPN 3 Margahayu. The instruments used were four items of mathematical connection test material on the System of Two-Variable Linear Equations and non-tests of students’ confidence in learning mathematics. The results of the analysis show that the average score of all mathematical connection ability test questions in indicator 1 using relationships between mathematical topics is 5%, indicator 2 is understanding equivalent representations of the same concept (36%), indicator 3 uses mathematics in everyday life (52%), and indicator 4 uses mathematics in other subjects (27%). So the average is 30%. So the students’ mathematical connection ability is included in the low category. Most students are unable to solve problems with indicators using relationships between mathematical topics. This is shown by the results of the mathematical connection ability test; students did not connect optimally. But in learning mathematics, students already have good self-confidence.

CLASSPOINT APPLICATION AS A DIGITAL TRANSFORMATION IN MATHEMATICS EDUCATION

The transformation to a digital platform allows the utilization of interactive tools that can create fun learning and motivate students to follow the learning process. Another tool is needed to support the learning process in understanding the material. This study aims to create learning that can motivate students through the ClassPoint application. This research is quantitative descriptive research with the research subjects of 31 first-semester students of the Informatics Engineering study program in one of the universities in East Java. The instruments used in this research are activeness set in ClassPoint, assessment results from student assignments, and response questionnaires. The data analysis technique was carried out by classifying student activeness according to the criteria, while the task results were analyzed based on the scores obtained by students. The data analysis results indicate that students are highly engaged in mathematics learning through the ClassPoint application because 74% were active and 26% were very active. It effectively helps them master mathematics materials since 90,3% of students got 80 or above as their assignment score. Students’ responses to mathematics learning are positive.

Development of forming limit diagrams for motorcycle fuel tank made from AA5754-O under deep drawing

The research studied forming limit curves (FLC) for aluminum alloy 5754-O (AA5754-O) and modified them using two methods. These methods aimed to create FLCs for application in describing the forming behavior of sheet metal material through a deep drawing process simulation in the PAM-STAMP program. The methods are as follows: The Nakajima test combined with a new method, a novel process for grid creation on the specimen: laser marking combined with elastic paints. A mathematical material model using the fracture model along with the yield criteria: YLD2000-2D and hardening law: Swift-Voce. The Keeler-Brazier modified equation was chosen as the fracture model for this research because it is an effective equation for creating FLCs for steel materials and has not yet been applied to aluminum materials. Furthermore, no one has previously used the Keeler-Brazier modified equation in conjunction with YLD2000-2D and the yield criterion Swift-Voce hardening law. In summary, the FLC generated from YLD2000-2D, Swift-Voce hardening law, and Keeler-Brazier modified equations can predict the location of damage occurrence on the motorcycle fuel tank, which occurs due to the deep drawing process, using finite element simulation accurately. This closely resembles the actual forming process in the industry.

БАШТАЛГЫЧ МЕКТЕПТЕ ЖАҢЫ ПРЕДМЕТТИК СТАНДАРТТЫН НЕГИЗИНДЕ МАТЕМАТИКАНЫ ОКУТУУГА СУНУШТАЛГАН МАТЕРИАЛДАР

This article discusses the main goals of teaching mathematics in elementary school, the implementation of learning goals and objectives and subject competencies presented in the standard, the content bands specified in the subject standard of elementary school, the didactic development of scientific mathematical material included in the subject bands of mathematics, taking into account the age characteristics of younger students, the order of educational materials and ideas of mathematics, established in the primary school subject standard, we are talking about methods. The student will have to accurately determine the correct answer to the task among several answers offered in one type of test. To do this, the student must have a certain level of knowledge and skills, such as analysis, comparison and analogy. And in some tests, it is necessary for the child to have a certain level of choosing the appropriate "yes" and "no" answers.

DEVELOPMENT OF TEACHING MATERIALS BASED ON REALISTIC ALGEBRA AND MEASUREMENT MATERIALS

Students' understanding of mathematical concepts still needs to improve. This problem will spread to other subjects because mathematics is necessary for solving various problems. This research aims to determine the product development process for realistic teaching materials for mathematics, algebra material, and measurement and the feasibility of product development according to expert assessments and responses from potential users. This research is an RND with a 4-D development model which includes Define, Design, Develop, and Disseminate. The resulting product validator comprises three media, material, and discussion experts. Practitioner response testing was conducted on two 5th-grade teachers at Elementary School (SD) Muhammadiyah Sukonandi 2. The subjects for product testing were 5th-grade students at Elementary School (SD) Muhammadiyah Sukonandi 2. The instruments used in this research were questionnaires in the form of validation questionnaires, practitioner response questionnaires, and potential user responses. The assessment results from media experts scored 4.75 in the very good category, material experts scored 4.75 in the very good category, and language experts scored an average of 4.55 in the very good category. Practitioner response tests and user responses received very good responses.

WEB BASED ARCHIVE MANAGEMENT APPLICATION CASE STUDY IN CIJERAH VILLAGE (E-ARCHIVE)

This research has the goal of producing a mathematics learning medium in which the game contains mathematical material, namely matrix material which is designed with various challenges, questions, and in-game events related to the matrix. The research method used is the research and development method. The research procedure is a simplification of Sugiyono's development steps, namely potentials and problems, data collection, product design, design validation, design improvement, product trials, product revisions, usage trials, and conclusions. The results of the study show that educational game media has proper characteristics. This can be seen from the evaluation of the experts, media experts obtained a proportion of 86.7% with a proper rating and material experts obtained a proportion of 88.3% with the assessment criteria, and math teachers of 90.85% with the appropriate assessment criteria. Contribution of the research is that this educational game media can be used by teachers in the learning process for matrix materials. This helps the teacher so that the learning process is more practical because the material is packaged in a game. In addition, this educational game media can also help students learn independently.

Reliability and separation index analysis of mathematics questions integrated with the cultural architecture framework using the Rasch model

This research uses Rasch model analysis to identify the reliability and separation index of an integrated mathematics test instrument with a cultural architecture structure in measuring students' mathematical thinking abilities. The study involved 357 students from six eighth-grade public junior high schools in Bima. The selection of schools was based on average school exam scores and considered the effectiveness of the learning process that used cultural settings to explore mathematical content. Data analysis was conducted using Microsoft Excel to calculate the content validity of Aiken's index with four experts and the jMetrik software to measure reliability and the separation index. The research results indicate that the mathematics test instrument passed validation by mathematics experts and measurements with a valid content validity level. Rasch model calibration shows a very high level of instrument reliability. Separation analysis on the logit scale indicates the instrument's ability to differentiate students with different ability levels with good homogeneity in the distribution of test items and individual abilities. Scale quality statistics show good item response variability, low error rates and a high separation index. This study has limitations because it focuses solely on multiple-choice questions. Similar research must be conducted using other types of questions (such as those used in PISA, namely open- constructed and closed-constructed questions) and integrating other mathematical materials within relevant cultural architectural structures.

Development of Interactive Game-Based Learning Media Using Realistic Approach to Improve Students' Mathematical Problem-Solvingin Social Arithmetic Materials for Grade VII

Development of Interactive Game-Based Learning Media Using Realistic Approach to Improve Students' Mathematical Problem-Solvingin Social Arithmetic Materials for Grade VII

Penerapan Metode STEM pada Proses Pembelajaran Fisika Berbais Pendekatan Saintifik untuk Meningkatkan Keterampilan Berpikir Kritis

The learning process using one method of learning creates a learning atmosphere of saturation, boredom and tiredness. students become weak and lazy in participating in learning. Students do not understand and are confused when faced with integrated concepts (integrated science, technology, engineering and mathematics material). The integrity and integration of these materials requires a long time to analyze and conclude. This condition of students has an impact on their critical thinking skills being weak, their way of finding solutions to problems is not being able to solve problems. The integrity and integration of science, technology, engineering and mathematics materials requires a high level of critical thinking among students. Researchers provide solutions to these problems by applying STEM methods to physics learning based on a scientific approach. This research can improve students' abilities in the areas of knowledge, attitudes, skills and critical thinking. This research uses PTK with two cycles. The average value for Cycle I is knowledge 65, attitude 67, skills 68 with a KKM of 70. Cycle I has not yet been completed and continues with cycle II, the average value for Cycle II is knowledge 75, attitude 77 and skills 80, meaning that all areas of student ability are above KKM 70, meaning complete. For critical thinking skills, researchers refer to the average score of students on the initial test of 63.66 (value of knowledge, attitudes and skills). In cycle I, the average critical thinking score for students was 68, an increase of 4.34 on the scale or 6.54%. The average critical thinking score of cycle I has not increased sufficiently, so it continues with cycle II. The average critical thinking score for Cycle II students was 75. Cycle II experienced an increase of 11.34 on the scale or 17.8% from the average initial test score of 63.66. with this improvement, the application of STEM methods to the physics learning process based on a scientific approach can improve students' critical thinking abilities.

THE USE OF FORMATIVE EVALUATION IN THE DEVELOPMENT OF SPATIAL BUILDINGS FOR ELEMENTARY SCHOOL STUDENTS BASED ON AUGMENTED REALITY

Learning media for elementary school students is an important tool that has developed in line with technological advances. Therefore, this study aims to evaluate learning media development on building space materials using Augmented Reality (AR) technology. Formative evaluation consists of initial analysis and stages. In addition, this study used 15 SDIT students, Alam Nurul Islam and Yogyakarta. The questionnaires distributed were related to the respondents' attitudes and responses. The results showed that students reacted positively to the development of AR learning media, and validation from experts obtained a feasibility percentage of 85.34% with valid criteria. Meanwhile, student responses expressed a sense of pleasure when the teacher explained the use of AR learning media. Mathematics material is easy to understand because geometry objects are realized as 3D objects through AR learning media. In addition, students are more active in learning by using AR learning media.

The Learning Revolution: Investigating the Use of Technology to Explore Mathematical Physics Learning

This research aims to describe how future physics teachers study mathematical physics. Physics students must master the existing material in Mathematical Physics mathematics well, thoroughly, and collaboratively. Data collection is done with lifts, interviews, and observations. Research results show that the learning process needs to be more contextual, less applicative, and highly dominant in mathematics; less attractive teaching materials and lectures are not designed to equip students with the skills of the 21st century. Learning does not use technology to help students solve physical problems. It causes students difficulty learning mathematical methods in physics. In fact, in learning mathematical physics, students must master the concepts related to mathematics tools and their applications. The ability to mathematically solve problems of physical phenomena and give meaning to mathematical models is built into critical aspects of learning. The solution that can be applied is to apply technology using software applications like Maple.

The Positive Impact of Game-Assisted Project Based Learning Model on Students’ Critical Thinking Ability in Mathematics Learning

Anxiety and difficulty understanding the material in mathematics learning in children results in a decrease in children's critical thinking abilities. The aim of this research was to analyze the application of the pure PjBL model and the game-based PjBL model to children's critical thinking abilities. This research was a type of quantitative research with experimental methods. The research design used was Mathing Pretest Posttest Control Group Design. The population of this research was between grades 1-6. The sample for this research is 32 grade 5 students divided into 2 classes, namely the control class and the experimental class. The method used to collect data was observation and tests. The instrument used to collect data was a question sheet. The data analysis technique was carried out using the t test and anova test using the SPSS 25 application. The results of the analysis were the pure PjBL model and game-based PjBL, both of which saw an increase in scores before and after being given treatment. Comparison between the game-based PjBL model and the pure PjBL model shows that the game-based PjBL model was superior to the pure PjBL. The conclusion of this research was that both pure and game-based PjBL models have an influence on critical thinking skills and the use of the game-based PjBL model was superior in improving critical thinking skills compared to the pure PjBL model.

"Geometrical Land" Learning Media Design Material for Building Flat Side Spaces

Flat-sided space shapes are mathematical materials in the scope of geometry which discusses cubes, blocks, pyramids, and prisms. In this material, students often find it difficult to visualize objects and relate them to contextual problems. The role of teachers in overcoming these problems is certainly very necessary. One way that can be used is to utilize technology to create learning media. The application software that can be used is Articulate Storyline 3. This research aims to produce a learning media design for flat-sided building materials called "Geometrical Land". This research is part of development research which is limited to the development stage only. The stages carried out in this research include: needs analysis, media design, and media validation. The instrument used is a media expert and material expert validation sheet. There are 6 validators, consisting of 3 material expert validators and 3 media expert validators. The results of this development research are in the form of a percentage of the validation test scoring of material experts and media experts. The average percentage of validity test results for material experts was 86.18% and media experts showed 84.61%. This states that the learning media "Geometrical Land" is 'very valid' for use according to the conversion level of achievement.