Prismatika: Jurnal Pendidikan dan Riset Matematika

MASALAH NILAI EIGEN ATAS ALJABAR MAX-PLUS PADA SISTEM PRODUKSI BULU MATA

2023-10-10T23:43:51+00:00

A discrete event system is a system whose behavior is determined by events and their events change at discrete times. The eyelash production system at PT Bio Takara Purwokerto is a discrete event system problem and can be expresses in a max-plus linear problem. By using the power algorithm, it is determined eigen values and eigen vectors over max-plus algebra which will be used as production time periodization. The results obtained that the periodic time for the eyelash production system at PT Bio Takara Purwokerto is 78.488 minutes. Based on this periodic time, we can then obtain the time each processing unit starts working to produce eyelashes.

TINGKAT KEMAMPUAN BERPIKIR KREATIF SISWA DALAM MENYELESAIKAN SOAL TIPE HIGHER ORDER THINKING SKILL DI TINGKAT SMA

2023-10-10T23:38:39+00:00

The aim of this research is to describe students' creative thinking abilities in solving Higher Order Thinking Skills type questions at the high school level. The type of research used by researchers is qualitative-descriptive research. The subjects in this research were Class XI students at SMA Wijaya Putra Surabaya. Meanwhile, to determine the object, the researcher used a sampling technique, namely purposive sampling, where the object was taken based on certain considerations. The data analysis technique that researchers will use is the Miles and Huberman model analysis technique. This model analysis technique is carried out interactively and continuously until the data is saturated. The steps that must be taken in this model analysis technique are data reduction, data presentation, and conclusions. The results of this research were that there were 25 subjects (90%) who were included in TKBK 0 (Not Creative). There are 3 subjects (10%) included in TKBK 1 (Less Creative). Students included in TKBK 1 are students who only meet one of the three indicators of creative thinking, namely fluency.

PENGEMBANGAN MEDIA AJAR BERBASIS ARTIFICIAL INTELEGENCE PADA MATA KULIAH EVALUASI PEMBELAJARAN MATEMATIKA

2023-10-10T23:38:40+00:00

This research is a development research (R&D). This study aims to develop learning media based on Artificial Intelligence (AI) in mathematics learning evaluation courses. The research was developed using the ADDIE model (analysis, design, development, implementation and evaluation). The media was developed by utilizing several AI tools, namely ChatGPT, Fliki, Toonme and D-ID. Experts provide an assessment of AI-based media with an average rating of Good. Media gets 78% Good in terms of appearance, 85% in a very good category in terms of use, and 80% in a good category in terms of presentation of material. Based on the assessment of material experts, the products that have been developed get 79% in the good category in terms of the suitability of the teaching materials and the assessment of the coherence of the material is 80% in the good category. Based on the assessment of linguists, the developed product received an 82% rating in the very good category in terms of the language used. A score of 78% is in a good category in terms of the pronunciation of the language in audio and a score of 79% is in a good category in language selection. Based on the results of the validation and assessment of experts, small group trials, large group trials and then revisions to the initial media products developed, the Artificial Intelligence-based learning media for mathematics learning evaluation courses is declared feasible to be used and exploited in the field.

PENGEMBANGAN MEDIA PEMBELAJARAN CROCLE MATH UNTUK MENINGKATKAN PEMAHAMAN KONSEP MATEMATIS

2023-10-13T08:02:58+00:00

This study aims to develop Crocle Math learning media to improve the understanding of mathematical concepts in junior high school mathematics learning that is valid, practical and effective. The research method used in this study is research and development (R&D). The research design used is Borg & Gall. The subjects in this study were media experts, material experts and VII grade students of SMP Negeri 2 Dau One Roof. The instruments used in this study were validation sheets to determine the validity of the media, student response questionnaires to determine the practicality of the media, and mathematical concept understanding test tests to determine the effectiveness of the media. The results of this study indicate that the results of the Crocle Math media development receive a valid category based on the validation by material experts with a percentage of 88% and media experts with a percentage of 96% with both in the very good category. In addition, based on the practicality of the media from the results of student response questionnaires get a percentage of 77% with a practical category and the effectiveness of the media from the results of the mathematical concept understanding test test results that students' concept understanding in learning mathematics has increased based on the scores they get. The results of both tests get an n-gain score of 0.63 with a moderate category. Therefore, Crocle Math media is declared as valid, practical and effective media for learning mathematics.

ELEKTRONIK LEMBAR KERJA PESERTA DIDIK (E-LKPD) BERBASIS DISCOVERY LEARNING UNTUK MENINGKATKAN KEMAMPUAN PENALARAN MATEMATIS

2023-10-15T06:02:47+00:00

Discovery learning is a learning model that is useful for developing students' mathematical reasoning skills. This research aims to develop E-LKPD based on discovery learning that are valid, practical, and effective. This research uses the ADDIE approach (Analysis, Design, Development, Implementation, and Evaluation). Product testing carried out included limited field trials to 10 students and extensive field trials to 24 students of SMP Negeri 1 Gondanglegi, Malang Regency. Data collection techniques utilize expert validation sheets, E-LKPD practicality questionnaires, and mathematical reasoning test sheets. The product validity tests conducted by experts (material, learning, and media experts) are declared valid with a score of 3.44. The product practicality test's results based on student responses obtained a score of 3.42 so it’s declared practical. The product effectiveness test's results obtained a completeness percentage of 70.8% and declared effective in learning activities. Students' reasoning ability is said to improve based on their test results. This study concludes that the E-LKPD based on Discovery Learning is valid, practical, and effective and can improve the students’ mathematical reasoning ability. It’s hoped that the E-LKPD developed used as mathematics teaching materials.

PENGARUH PROBLEM BASED LEARNING BERBASIS HIGHER ORDER THINKING SKILL (HOTS) TERHADAP KEMAMPUAN BERPIKIR KRITIS MATEMATIS

2023-10-15T06:03:36+00:00

This research is a descriptive quantitative research that aims to find out how the influence of the Problem Based Learning learning model on the critical thinking mathematics ability of students on social arithmetic material. The research was carried out at SMP Negeri 2 Balen, with the selection of class VII D as an experimental class with a total of 32 students and VII F as a control class with a total of 33 students. The method used is experimental research. Data collection techniques in this study were through observation, documentation and test techniques. Data analysis in this study used descriptive analysis and inference which included normality test, homogeneity test and hypothesis test (independent sample t-test) using the SPSS statistical application program version 26 with a significant level of 5%. The calculation of the independent sample t-test obtained a signification value (2-tailed) of 0.000 < 0.05 and the calculation of the gain score obtained a value of 0.7081. The results of this study show that the Problem Based Learning learning model has a significant influence on the critical thinking ability of students with the category of improvement being high.

PENGEMBANGAN EXCITED MATH GAMES UNTUK MENINGKATKAN PEMAHAMAN KONSEP HIMPUNAN SISWA SMP

2023-10-23T16:43:06+00:00

The aim of the research is to develop interactive learning media Excited Math Games on set material for class VII junior high school students. The research method used is development research referring to the ADDIE model. The research instruments were media development sheets and student learning outcomes tests. The results of the research are based on the design carried out (1) analysis: needs analysis which shows that the use of learning media is still limited, and students have not been actively involved in the learning process, technology analysis, a combination of Power Point and iSping Suite 10 used as the main software, and curriculum analysis according to with the 2013 curriculum; (2) design: collecting references, designing material content according to aspects of understanding concepts, preparing stoyboards and flowcharts to make it easier to create learning media; (3) development; creating learning media, expert validation to determine the validity of learning media, and revising phase I products based on validator input; (4) implementation: trial to obtain data on students' level of understanding of concepts after applying learning media; (5) evaluation: analyzing student learning test results to determine the level of understanding of concepts. The quality of the learning media developed meets the very valid criteria based on the assessment of media experts and material experts with scores of 3.8125 and 3.65 respectively. Meanwhile, the level of understanding of students' concepts after applying the Excited Math Games learning media obtained very high criteria based on student learning outcomes tests with a completeness percentage of 86.67% and an average score of 88 or above the students' completeness score, namely > 70.

RANCANGAN PROJECT BASED E-LEARNING BERBASIS INTERNET OF THINGS UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KREATIF MAHASISWA

2023-10-19T08:07:48+00:00

This research aims to improve the creative thinking abilities of Tribhuwana Tunggadewi University students through the use of an Internet of Things (IoT) based e-learning project design. The research subjects consisted of 60 students divided into experimental class (30 students) and control class (30 students). The research method used was a control class and an experimental class with pretest and posttest administration in both classes. The data collected is quantitative and qualitative data which is analyzed using descriptive and inferential statistical techniques. The research results showed that there was a significant difference between the creative thinking abilities of students in the experimental and control classes after being given treatment. The experimental class that used an IoT-based project-based e-learning design showed a more significant increase in creative thinking abilities compared to the control class. This shows that the use of IoT-based project based e-learning designs is effective in improving students' creative thinking abilities. Discussion of research results shows that the use of IoT-based project based e-learning designs can improve students' creative thinking abilities through more interactive, collaborative, and contextual learning. In addition, the use of IoT technology can facilitate student-centered learning activities and provide a more personalized and enjoyable learning experience. In conclusion, the use of an IoT-based project based e-learning design can be an innovative and effective alternative learning method in improving students' creative thinking abilities. This research contributes to the development of learning model that is oriented towards creative thinking skills and the use of technology in education.

PENERAPAN MODUL BERBASIS PROJECT BASED LEARNING PADA MATA KULIAH ANALISIS REAL 2

2023-10-23T16:41:50+00:00

The education dharma program states that lecturers have the main task of administering education. Permenristekdikti No. 44 of 2015 states the minimum criteria for the learning process, namely CPL (Graduate Learning Outcomes). CPL requires student-centered learning and the role of the lecturer as a facilitator so that Student Center Learning (SCL) is created. Real Analysis 2 which is a follow-up course from Real Analysis 1. Real Analysis 2 is a pure mathematics course that contains a collection of definitions and theorems and lemmas that involve proof. So far, learning real analysis is difficult for students to accept, namely making connections between one rule and another. One learning model that facilitates students to fulfill the CPL for Real Analysis 2 course is the PjBL (Project Based Learning) model. PjBL implementation must be supported by adequate learning facilities. Therefore, a module based on the PjBL model is needed. The use of this PjbL-based module is expected that students will be able to solve mathematical problems and support the fulfillment of CPL courses which results in the formation of creative and systematic mathematics students who are good at solving problems and have the capabilities and competencies needed by the world of work.

KARAKTERISTIK ANALOGI SISWA SEKOLAH DASAR DALAM PENGAJUAN MASALAH LUAS DAERAH

2023-10-24T06:42:52+00:00

This study aims to identify the characteristics of elementary school students' analogies in proposing area problems. The method used in this research is descriptive qualitative using a case study approach. The characteristics of analogy in the submission of area problems can be categorized into three: (1) Identical-reformulation is rearranging the elements in the problem structure in ways that do not change the nature of the problem. (2) Identical-different-reconstruction is modifying and maintaining some elements of the form in the initial problem so that the resulting problem looks slightly different. (3) Different-imitation is changing and adding new shape elements that are not in the initial problem to produce a different problem. The results of the research showed that the characteristic most often found in students is imitation, where the problem produced is different from the initial problem given. So the different imitation characteristics that appear most often correspond to replacement characteristics, namely the problem posing product based on the initial problem or source problem by changing the context of the problem, namely changing the shape of the cake slice.

PENGARUH MODEL PEMBELAJARAN MIND MAPPING BERBANTUAN MEDIA POWER POINT TERHADAP HASIL BELAJAR

2023-10-26T06:49:58+00:00

Students' mathematical learning results are influenced by many variables, including students, parents, schools, curricula, and mathematics itself. Preliminary observations showed that 27.7% of students received a score above 75 and 72.3% received a rating below 75. The minimum score for the exam was 75, which is the average grade. Many factors can contribute to poor student learning outcomes, including the role of teachers as instructors and their influence on students in creating and using inappropriate learning strategies. An alternative that can be developed on a model with learning is to use a mind mapping defence model. This survey aims to find out how much influence it has found on the mind mapping defense model with the help of power points. The type of quantitative research used in this study is the design of a single group pretest-posttest. The test results are known to have a t_hitung value of 3.27. T_hitung values are matched to with Table values with a significant upgrade of a=0,05 and obtained Table Values of 2.063. T_hitung Values are derived that is greater than Table Value (t_hitung= 3.27 > t_table = 2.063 then Ha is accepted, that is, using the learning model of Mind Mapping and PowerPoint media, the student's learning results can be influenced.

PENGARUH DISCOVERY LEARNING BERBANTU MEDIA AUDIOVISUAL TERHADAP PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA

2023-10-23T16:30:17+00:00

The study is intended to learn the influence the discovery learning model was to assist audiovisual about the increased ability to solve the math problems of class IV students. It is conducted at Public Elementary School Klumpit 1, with a kind of quantitative research using a matode experiment of one group preposttest design. The sampling technique used in the study is the saturated sampling technique, with the number of students in the fourth class of students in the population of 10 boys and 15 girls. Pretest average value is 47.84. The posttest average is up to 80.36. The normal results of Shapiro-Wilk test that the pretest and posttest data above have sig > 0.05 with pretest data 0.054 > 0.05 and the posttest data 0.063 > 0.05 at significant levels 0.05 and n = 25, and H₀ is accepted. N-gain tests, a value of 0.61 lies between 0.3 indicators 0.7 and a moderate increase in criteria. Thus it may be concluded that there is an increased ability to solve students' math problems through learning with the discovery learning model to assist audiovisual media.

PENINGKATAN SELF CONFIDENCE DAN KEMAMPUAN KOMUNIKASI MATEMATIS SISWA MELALUI MODEL PEMBELAJARAN KOOPERATIF TIPE TIME TOKEN

2023-10-24T07:07:57+00:00

This research was conducted because of the low self-confidence and mathematical communication skills of class VII students, especially in statistics. This is because Daarul Ukhuwwah Middle School has its own curriculum and there is no statistics material. Therefore, students do not have the courage to express their ideas or opinions. So, to increase self-confidence and mathematical communication skills of female students, researchers use cooperative learning with the time token method. The purpose of this study is to find out the description of the application of the time token type of cooperative learning to increase students' self-confidence and mathematical communication on set material in class VII SMP Daarul Ukhuwwah 2 Singosari Malang. The type of research used in this research is classroom action research (CAR). The subjects of this study were class VII-B students of SMP Daarul Ukhuwwah 2 Singosari for the 2022/2023 academic year consisting of 31 students. The data collection instruments used in this study were student observation sheets, questionnaires, and tests. This research was conducted in 1 cycle consisting of 2 meetings. The stages carried out in each cycle are planning, action, observation, and reflection. The results of this study indicate an increase in self-confidence and students' mathematical communication skills at each meeting. The average result of the questionnaire was 47.42% before the action became 69.50% in the first cycle of the 1st meeting to 83.23% in the 2nd meeting of the first cycle and from the average results of the test, namely 52.21% to 71, 60% in the first cycle of the 1st meeting to 86.45% in the 1^st cycle of the 2^nd meeting.

ANALISIS BERPIKIR KRITIS BERBASIS ETNOMATEMATIKA PADA KONSEP GEOMETRI DALAM PERMAINAN GOBAK SODOR

2023-10-26T08:10:06+00:00

The aim of this research is to describe students' critical thinking in solving ethnomathematics-based mathematics problems on geometric concepts. This type of research is descriptive qualitative research. The research subjects were class VII students at As–Syuja'i Middle School. Critical thinking is an important ability that must be developed in students in learning mathematics. Critical thinking skills can be developed through learning mathematics using an ethnomathematics approach with the traditional game Gobak Sodor which has the potential to be used as an interesting learning medium in introducing geometric concepts to students. The results obtained by using an ethnomathematics approach with the traditional game gobak sodor, namely students' critical thinking in solving mathematical problems based on high ability and low ability types. Students who have high ability carry out all stages of solving mathematical problems using critical thinking indicators accurately and correctly, whereas students who have low ability do not carry out the stages of solving mathematical problems using critical thinking indicators accurately and correctly, only that students can determine what is being asked. on the questions correctly at the stage of understanding the problem with critical thinking indicators.

ANALISIS POLA KESULITAN BELAJAR MATEMATIKA DALAM MENYELESAIKAN SOAL OPERASI HITUNG PECAHAN PADA SISWA SEKOLAH DASAR

2023-10-26T08:13:54+00:00

The main problem to be studied in this research is analyzing the pattern of mathematics learning difficulties when solving fraction calculation problems for elementary school students. This research aims to gain an in-depth understanding of the pattern of difficulties students face when understanding and answering fraction calculation questions. This study aims to analyze the pattern of mathematics learning difficulties of elementary school students when completing fraction calculation operations. The sample includes 5 subjects consisting of 5th grade students at SD Negeri 4 Mayonglor Jepara. Data collection was carried out through observation, as well as interviews with students and teachers. The data will be analyzed and used to explain the problem being studied. The results of data analysis show that students experience various difficulties in understanding the basic concepts of fractions and the ability to calculate fractions. One of the biggest difficulties is understanding the relationship between the numerator and denominator of a fraction. Students also often have difficulty converting fractions into their simplest form, changing fractions from mixed fractions to improper fractions and vice versa. Apart from that, understanding fractions with different denominators is also a challenge for students. The conclusion of this research is that elementary school students face many different difficulties when solving fraction calculation problems. These difficulties include understanding the basic concepts of fractions, changing the form of fractions, calculating the results of multiplying or dividing fractions, simplifying fractions, and applying fractions in the context of everyday situations

PENGEMBANGAN BAHAN AJAR GEOMETRI DALAM PERMAINAN LATO-LATO

2023-10-28T18:39:41+00:00

This study aim to produce teaching materials for geometry modules in lato-lato games to understand the material of lines and angles in terms of validity, practicality and effectiveness. This type of research is Research and Development (R&D), using the ADDIE (Analysis, Design, Development, Implementation, and Evaluation). The results showed that the media expert's validation score obtained a score of 83.3% from validator 1 and 81.6% from validator 2, both of which indicated very valid categories. The material expert validation score obtained a score of 83.3% from validator 1 and 80% from validator 2, both of which indicated very valid categories. The validity value was also obtained from a small-scale trial, namely the student response questionnaire which obtained a score of 86.4% in the very valid category and the mathematics teacher's response questionnaire obtained a score of 91.2% in the very valid category. While the practicality score obtained a score of 86.5% from the student response questionnaire, 87.5% from the teacher response questionnaire and 94% from the module implementation observation sheet, all three of which were included in the very practical category. The value of effectiveness is obtained from the results of student tests. Student test scores after using the module during learning get a percentage score of 80% which states that it is classically complete. Thus, the module has fulfilled the aspects of validity, practicality and effectiveness and can be used in the learning process.

ANALISIS PEMBELAJARAN PROBLEM BASED LEARNING (PBL) DENGAN PEMECAHAN MASALAH BERBANTUAN KOMIK LITERASI NUMERASI DAN ETNOMATEMATIKA

2023-10-28T18:41:36+00:00

The purpose of this research is to find out the application of learning problems (PBL) with the help of comic based literacy numeration and ethnomathematics in the Integrated High School of Madinatul Ulum class VIIIB cangkrung jenggawa based on the theorem pythagoras. This research used qualitative descriptive approaches. The collection of data were observations, interviews, documentation, and tests. Based on a comic-aided problem-solving learning analysis that focuses on the material of the pythagorean theorem and numeration and ethnomathematics literacy, it was found that 80% of students showed improvement. Based on data analysis, it can be concluded that the PBL model improves the learning outcomes of integrated high school students Madinatul Hikmah. The results show that 1. The PBL Model is more attractive to use as a learning model. 2. The students are more involved in working on the pythagoras theorem. 3. The PBL model can improve the critical thinking ability of the pupils and encourage them to do something.

PENGEMBANGAN LIVEWORKSHEETS INTERAKTIF UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS SISWA

2023-11-01T03:58:01+00:00

Critical thinking ability is a basic ability that is very important to master, this is because critical thinking is an important component in higher level thinking. Students' low ability to understand mathematical concepts is caused by the use of teaching materials that are less than optimal in applying mathematical concepts. Efforts to overcome the problem of students' low critical thinking abilities require developing teaching materials in the form of Student Activity Sheets (LKS). This is what triggered researchers to carry out research aimed at developing live worksheets to improve students' critical thinking skills at SMP Negeri 1 Sarang. The type of research used is Research and Development (R&D) using the 4D model. The research subjects were class VII junior high school students with data collection instruments in the form of questionnaires, interviews, observations, documentation. The data analysis techniques used in this research are qualitative and quantitative data analysis techniques. The validation results showed that the LKS met the valid criteria with a percentage of 92%. The practical results showed that the LKS met the practical criteria with a percentage of 82.25%. The effectiveness results showed that the LKS met the effective criteria, namely that 80% of students had a score of more than or equal to 75. Based on the research results, it could be concluded that the live worksheet-based LKS to improve students' critical thinking skills in social arithmetic material was valid, practical and effective.

STUDI ETNOMATEMATIKA GARIS DAN SUDUT PADA MOTIF SENI RUMAH BUDAYA SUMBA

2023-10-31T18:30:49+00:00

Ethnomatematics is a bridge between culture and mathematics as well as mathematics and culture. This study aims to describe the results of an ethnomathematics study on the art motifs of the Sumba cultural house related to the mathematical concepts of lines and angles. The method used in this study is descriptive qualitative with an ethnographic approach. In this study, the ethnographic approach aims to describe and analyze culture based on mathematical concepts on lines and angles in the Sumba cultural house motif. Research data collection techniques were observation, interviews and documentation. The data collection instruments used were observation guidelines, interview guidelines and documentation. The instrument guide contains three aspects, namely historical aspects, philosophical aspects and mathematical aspects. The data analysis technique used in this study were data reduction, data presentation and conclusion. The technique used to test the validity of the data was the triangulation technique. The triangulation used is technical triangulation. The results showed that in Sumba culture houses there are various kinds of motifs such as turtle, crocodile, horse, chicken, deer, enga or plate motifs, mamuli, maraga, tala or gong, bhedu or tambor, pig's jaw, buffalo horn and anatou. The mathematical concept of lines and angles in the Sumba cultural house has various forms of lines and angles. The motifs are in the form of lines such as parallel lines, coincident lines and intersecting lines. Meanwhile, motifs that are in the form of angles such as acute angles, right angles, obtuse angles, straight angles and reflex angles.

PENGEMBANGAN MEDIA ULAR TANGGA DENGAN MODEL REALISTIC MATHEMATICS EDUCATION PADA PEMAHAMAN KONSEP MATEMATIKA

2023-11-10T07:24:43+00:00

Monotonous and conventional learning using the lecture method can cause students to be less interested in learning. This causes the concept given not to imprint sharply in the memory of students so that students easily forget and often confused in solving a problem that is different from what is exemplified by the teacher. The purpose of this study is for the feasibility, effectiveness, and development of snakes and ladders media with a Realistic Mathematics Education model on understanding mathematical concepts. In this study, research and development (R&D) research methods were used. This research will be carried out in grade IV SDN Tambirejo with research subjects of 10 students and teachers. The subject selection of 10 students was obtained from the postest and prettest assessments. For teachers, an assessment was obtained from the results of interviews between researchers and teachers. The dependent variable in this study is understanding the concept, while the independent variable is a Realistic Mathematics Education model assisted by two snakes and ladders. Data collection techniques include interviews, observations, tests, and documentation. The data analysis used is qualitative and quantitative data analysis. The results of this study show that Snakes and Ladders media is very feasible to use, shown by the percentage of media feasibility of 77% and material feasibility of 88%. The N-Gain test showed a result of 0.1785 with the "medium" category. The conclusion in this study is that the Snakes and Ladders media is declared feasible and effective for use in grade IV learning of Wide Material Maematics Lessons and flat build circumference.