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According to (Aufa, 2016: 232) Mathematics is one of the subjects taught at every level of education, from early childhood education to higher education. Mathematics is also a science that underlies the development of science and technology, so that mathematics is seen as a structured and integrated science, the study of patterns and relationships, and the science of thinking to understand the world around us. From the explanation of Ansari and Aufa, it can be concluded that mathematics is one of the subjects taught in every education which is useful for helping to clarify and simplify abstract situations through language and mathematical ideas so that it makes it easier to understand problem solving that exists in everyday life.

Based on the observations that have been made, it is shown that students' mathematical communication skills are still relatively low so that an innovative learning model is needed to improve students' mathematical communication skills. This study aims to see whether the improvement in students' mathematical communication skills taught with the Two Stay Two Stray cooperative learning model is higher than the mathematical communication skills of students taught with the Think Pair Share cooperative learning model and to see how the improvement in mathematical communication skills taught with the two models. This study is a study that is included in the quasi-experimental category with a pretest-posttest control group design. The subjects in this study were 62 students in grades VIII-A and VIII-E of SMP Negeri 4 Balige. Based on the research that has been done, the results of the N-Gain test were obtained with an average N-Gain value in experimental class 1, namely 0.813 in accordance with the Gain index criteria in the high category and the average N-Gain value in experimental class 2, namely 0.693 in accordance with the Gain index criteria in the medium category. Based on the research that has been done, because the data is normally distributed and homogeneous, the hypothesis test is carried out using the t-test. Through the t-test that has been done, it was obtained that , namely 2.465>2.000. Therefore  is rejected, which means that the increase in mathematical communication skills of students taught with the Two Stay Two Stray cooperative learning model is higher than those taught with the Think Pair Share cooperative learning model.

The purpose of this research was to produce a worksheet based on problem-based learning that would enhance students' ability to communicate mathematically when working with number pattern content. The quality of this LKPD refers to the effective aspect. This research uses a type of research and development (R&D) with a model developed by Borg & Gall. The subjects in this research were students in class VIII-5 of SMP Negeri 1 Tanjung Morawa with a total of 27 students. The object of this research is teaching materials in the form of PBL-based LKPD. Teacher response questionnaires, student response questionnaires, expert validation sheets, teacher interview question sheets, and tests of mathematical communication competence were the tools employed. Based on the research results, the effectiveness of LKPD can be seen from the achievement of learning completeness with an average individual learning completeness of 88 and for classical completeness of 96.3%. So the LKPD developed is declared "effective". Students' mathematical communication abilities are at a percentage of 90.1%, at high criteria, and it can be noted that for the N-Gain assessment, results were obtained with a student average of 0.74, meaning that there was an increase in students' mathematical communication abilities with high criteria. So, based on the results, it can be concluded that the LKPD developed in this research is valid, effective, and can improve students' mathematical communication skills.

This study aims to explore the application of GeoGebra software in improving students' mathematical communication skills. GeoGebra, as a visualization and interactive tool, is considered to be able to help students understand mathematical concepts more deeply and effectively. This literature study collects and analyzes various studies that have been conducted on the use of GeoGebra at various levels of education, from elementary school to college. The results of the study show that the use of GeoGebra can improve students' mathematical communication skills, both in written and oral form. Students who use GeoGebra tend to have an easier time describing and explaining mathematical concepts, as well as being more actively involved in discussions and problem-solving. In addition, GeoGebra also helps to increase students' motivation to learn and provide a more enjoyable and meaningful learning experience. The conclusion of this study shows that GeoGebra is an effective tool to be used in mathematics learning to improve students' mathematical communication skills.

This research aims to produce an LKPD product with a realistic mathematical approach that is valid, practical and effective for improving students' mathematical communication skills. This research and development is based on the stages of the 4D development model by Thiagarajan which was adapted to 3D including the definition, design and development stages. The subjects in this research were the X-Mipa 1 class of SMAN 2 Kabanjahe, totaling 30 people. Based on the research conducted, the validity of the LKPD obtained an average assessment of 89.47% by material experts and 88.15% by media experts with very valid qualifications. Through a questionnaire on the practicality of LKPD by teachers and students, an average of 90.27% was obtained by teachers and 92.12% by students with very practical qualifications. The implementation of learning by applying LKPD with RME was carried out to see the effectiveness of LKPD in obtaining results, namely achieving classical learning completeness. 86.67%, achievement of learning objectives was achieved in questions 1,2,3,4 and 5 and achievement of efficient learning time, from the effectiveness assessment reference, the LKPD developed was classified as effective. The increase in mathematical communication skills that occurred was an increase in the moderate category with an average gain score of 0.632. Based on the data obtained, it was concluded that the LKPD with RME that was developed met the qualifications of being valid, practical and effective.

The objective of this research is to investigate the potential impact of implementing the TPS cooperative learning model on enhancing the self-confidence and mathematics communication abilities of seventh-grade students at SMP Negeri 5 Percut Sei Tuan. The specific focus will be on the Set content. This study used a class action research design, consisting of two distinct cycles. Each iteration comprises two meetings. The participants in this research consisted of 28 students from class VII-8 of SMP Negeri 5 Percut Sei Tuan. The primary focus of this study is to enhance students' self-confidence and mathematical communication abilities by using the TPS cooperative learning model on Set material at SMP Negeri 5 Percut Sei Tuan during the academic year 2022/2023. Based on the findings derived from the analysis of the data, it was observed that the mean score for students' initial self-confidence was 53.61. Additionally, the mean test score for students' initial communication skills was found to be 44.92. Among the participants, a total of 3 students (13.04%) demonstrated mastery in this area, while the remaining 20 students (86.95%) had not yet achieved mastery. The learning process in cycle I was conducted using the TPS model. As a result, the average score of student confidence increased to 62.14, while the average score of the mathematical communication ability test increased to 55.80. Out of the total number of students, 8 students (34.78%) reached the completion criteria, while 15 students (65.21%) did not reach the completion criteria. In the second cycle, there was an observed increase in student performance. The average score for student confidence was recorded as 76.29, while the average score for the mathematical communication ability test was 75.97. Out of the total number of students, 19 students (82.60%) achieved completeness in the test, while 4 students (17.40%) did not reach completeness. The self-confidence questionnaire and mathematical communication skills exam administered in cycle II yielded results indicating a satisfactory level of student proficiency. 

This research aims to enhance the mathematical communication skills of students after implementing the Think Talk Write cooperative learning model. The study was conducted in the first semester of the 2023/2024 academic year in class XI MIA 3 at MAN 1 Medan. The subjects of this research were 39 students from class XI MIA 3 MAN 1 Medan. The object of this research was the mathematical communication skills of students by applying the Think Talk Write learning model. The research method used was classroom action research conducted over 2 cycles. The results of the students' mathematical communication skills test showed improvement from the initial test to the tests given in Cycle I and Cycle II. In the initial test, only 1 student (2.5%) achieved proficiency with an average score of 56, categorized as low. In Cycle I, there was a classical increase, with 10 students (25.6%) achieving proficiency with an average score of 67.9, categorized as moderate. In Cycle II, there was also a classical increase, with 33 students (84.6%) achieving proficiency with an average score of 86.9, categorized as high. It can be concluded that by implementing the Think Talk Write cooperative learning model, it is possible to improve the mathematical communication skills of class XI MIA 3 students at MAN 1 Medan.

This research aims: (1) the mathematical communication abilities of students using the think-talk-write (TTW) cooperative learning model are higher than the mathematical communication abilities of students using conventional learning models in class VIII SMP Negeri 19 Medan, (2) the process of completing answers is created by students in solving problems in the think-talk-write (TTW) cooperative learning model and conventional learning models. This type of research is quantitative research with a Quasi Experimental method. This research was conducted at SMP Negeri 19 Medan. The sampling technique in this research used the Purposive Sampling technique, namely class VIII-5 as a class taught using the think-talk-write type cooperative learning model and class VIII-6 as a class taught with a conventional learning model. The data collection instruments were an observation sheet and a test sheet for students' mathematical communication skills in the form of 4 essay questions. Data analysis in this study used a t-Test with the Independent sample t-Test technique with the help of the SPSS 22 program. The results of the research showed that the average score for the class taught using the think-talk-write cooperative learning model was 80.1 and the class taught with a conventional learning model of 74.6. Hypothesis testing was carried out using the t-test, from the calculation results it was obtained that tcount was 2.501 and ttable 1.67469, the significance level was 0.016<0.05, then H0 was rejected and Ha was accepted, so it was concluded that students' mathematical communication skills used the cooperative learning model type. think-talk-write is higher than students' mathematical communication skills using conventional learning models. Based on the analysis of the process of students' answers to the mathematical communication skills test, students who received think-talk-write cooperative learning were better than students who received conventional learning.

Mathematics is a scientific field that investigates formless structures and forms of interaction within them. Mathematical interaction is a powerful tool used to express mathematical opinions verbally or in writing. The Think-Talk-Write (TTW) learning approach is designed to facilitate the construction, reflection, and organization of new mathematical views. This study aims to explore the efficacy of using TTW learning examples as a tactic to enhance the quality of students' mathematical communication, and to assess the impact of this approach. In order to achieve these goals, researchers used classroom action research in two stages of testing. The study involved 21 students in grade VIII at SMP Parulian 1 Medan. The initial ability test revealed that the students' mathematical communication ability scores were 34.2%. After conducting test activities in cycle I, the average mathematical communication ability of students rose to 36.8%. In the second cycle (II), the percentage result increased to 88%. The results of the research demonstrate that students in Class VIII at SMP Parulian 1 Medan experience a significant improvement in their mathematical communication skills through learning via the Think-Talk-Write model. We can conclude that this approach is an effective way to enhance students' mathematical communication skills.    

The aim of this research is to determine the effect of the Thinking Aloud Pair Problem Solving (TAPPS) method on the mathematical communication skills of class VIII students at SMP Negeri 9 Pematangsiantar after applying the Thinking Aloud Pair Problem Solving (TAPPS) method. The type of research used is experimental research. In this research the author used a quantitative approach. The design used in this research is One Group Pretest-Posttest Design. This research involved an experimental class that was treated with the Thinking Aloud Pair Problem Solving (TAPPS) learning method and then given pre-test and post-test treatment to draw conclusions. For more details, see table 3.1 below. The research results obtained showed that the Thinking Aloud Pair Problem Solving (TAPPS) method had an influence on students' mathematical communication skills, reaching an average pre-test score in the Experiment class of 48.63, while the average score was 48.63. Post-test average in the Experiment class was 78.63. This proves that the Experimental class has further improved abilities after being given treatment using the TAPPS Method.

The research method used in this research is descriptive qualitative research with the aim of the research being to describe the mathematical communication profiles of blind students. This research was conducted at SLB Negeri Rasau Jaya which is located at Education Street No. 2, Desa Rasau Jaya Satu, Rasau Jaya District, Kubu Raya Regency, West Kalimantan Province, using the K13 curriculum. This study will describe the mathematical communication of SLBN Rasau Jaya students in the Cartesian coordinate material seen from aspects (1) The ability of students to give answers using everyday language in explaining ideas, situations and mathematical relations, orally or in writing with real objects, pictures, graphics and algebra. (Aspects of Written text); (2) Students' ability to connect real objects, pictures, and diagrams into mathematical ideas. (Drawing Aspects); (3) Students' ability to express everyday events in language or mathematical symbols. (Aspects of Mathematical Expression). In this study, the subjects of the study were all students of class VIII SLB Negei Rasau Jaya, which consisted of three students with low vision criteria. The data collection tools used in the research were observation sheets, interviews, and written tests. The mathematical communication skills of blind students have good abilities in the aspect of drawing. While the writing aspect was not fulfilled properly and the mathematical expression aspect did not meet the indicators at all.

This study aims to determine the effect of the Thinking Aloud Pair Problem Solving (TAPPS) method on students' mathematical communication abilities. The type of research used is a Quasi-Experimental type (pseudo-experimental) and uses the True Experimental Design research design with the Posttest-Only Controll form. The research was conducted at SMP Ikhlasiyah Palembang with a population of all students of class VII consisting of 2 classes. The sample were taken from all members of all population so that class VII.1 as the experimental class was given treatment, namely the Thinking Aloud Pair Problem Solving (TAPPS) method and class VII.2 as the control class which was not given treatment, namely the conventional method. Research data was collected through tests. Based on the analysis of the test results, it shows that the students' mathematical communication skills in the experimental class are higher than those in the control class. This means that the class that was treated with the TAPPS method affected students' mathematical communication skills. Statistical calculations obtained from the test results yield tcount = 2.944 and ttable = 2.013, so that tcount > ttable which causes H0 to be rejected and H1 to be accepted. Thus, it can be concluded that there is an influence of the Thinking Aloud Pair Problem Solving (TAPPS) method on the mathematical communication abilities of class VII students of SMP Ikhlasiyah Palembang.    

This study aims to determine the application of the Problem Based Learning learning model to mathematical communication skills in terms of independent learning on set material in class VII SMP Negeri 01 Tayan Hulu. The research form used is quasi-experimental designs, with a 2×3 factorial design. The population in this study were students of class VII A and students of class VII B. The sample in this study was one class selected by cluster random sampling. Data collection techniques used are direct communication techniques and measurement techniques with data collection tools in the form of questionnaires and test questions in the form of essays. The data analysis technique used was the analysis of two dissimilar cell paths with the normality test using the Lilifors test, homogeneity using the Bartlett test and continued with the multiple comparison test using the Scheffe method. The results of this study are (1) the mathematical communication of students who follow the problem-based learning model is better than students who follow the conventional learning model, (2) the ability of mathematical communication between students who have high learning independence is better than moderate after the implementation of the model learning problem based learning. (3) students' mathematical communication skills in the moderate learning independence category were better than students in the low learning independence category after applying the problem-based learning model. (4) at the level of independent learning, problem-based learning models provide better mathematical communication skills than conventional learning models.    

The purpose of this study is to describe the results of the analysis of improving students' mathematical communication skills with Realistic Mathematics Education approach. The type of this research is descriptive qualitative research using the library research method. The subject of this research is the most published articles in published journals about mathematical communication skills through Realistic Mathematics Education approach to junior high school students. Based on the findings from 5 journals, it was found that students' mathematical communication improved better in students who studied with Realistic Mathematics Education approach compared to students who studied with conventional learning. Realistic Mathematics Education approach can improve students' ability to describe, understand, and represent mathematical ideas contained in pictures, tables or diagrams. So, Realistic Mathematics Education approach is one approach that can improve students' mathematical communication skills at the junior high school level with effect size score of 1,158 in the large effect category.

Penelitian ini bertujuan untuk menghasilkan media pembelajaran aplikasi dompet pintar berbasis strategi saintifik learning untuk meningkatkan kemampuan komunikasi matematis pada materi relasi dan fungsi  yang mencapai tingkat kevalidan, kepraktisan, dan keefektifan. Penelitian ini menggunakan model rancangan pengembangan 4D, yang dimodifikasi menjadi 3D, yaitu define (definisi), design (perancangan), development (pengembangan), tanpa menggunakan tahap keempat yaitu disseminate (penyebaran), karena hal ini merujuk kepada tujuan awal dari penelitian ini ialah untuk mengembangkan media yang valid, praktis dan efektif yang terdapat pada langkah  ketiga pengembangan  model ini yaitu development. Subjek dalam penelitian ini adalah siswa kelas VIII SMPN 8 Sengah Temila dengan jumlah siswa sebanyak 20 siswa. Instrumen yang digunakan dalam penelitian ini adalah lembar validasi, angket, dan soal pre-test post test. Berdasarkan hasil penelitian yang pertama adalah validasi aplikasi dompet pintar berbasis strategi saintifik learning yaitu dengan nilai rata-rata dari ketiga ahli sebesar 85,416% dalam kriteria sangat valid dengan kategori sangat baik. Yang kedua adalah nilai kepraktisan, dilihat dari nilai angket yang diisi guru dam siswa diperoleh persentase sebesar 83,93% dengan kriteria sangat praktis. Selanjutnya keefektifan, dilihat dari nilai rata-rata siswa dengan merujuk pada skala likert. Artinya, terdapat peningkatan nilai hasil belajar siswa dalam kemampuan komunikasi matematis, sehingga aplikasi dompet pintar dikatogerikan efektif. Berdasarkan hasil tersebut disimpulkan bahwa pengembangan aplikasi dompet pintar berbasis strategi saintifik learning terhadap kemampuan komunikasi matematis pada materi relasi dan fungsi di SMPN 8 Sengah Temila tergolong valid, praktis, dan efektif untuk digunakan.    

This research aims to find out the results of research analysis of students abilities through the Two Stay Two Stray (TSTS) type cooperative learning model from various literature, as well as to analyze the difficulties of students mathematical communication skills through the Two Stay Two Stray model. This type of research is descriptive qualitative and uses a literature study research method which was carried out at the Digital Library, Medan State University in July – September 2022. The instrument in this study was the author himself. The steps of this research are: (1) Designing the research. (2) Carry out the research design. (3) Analyze and provide conclusions on the results of the analysis. The analysis technique used in the selection of information related to data analysis techniques is the Miles and Huberman analysis technique. The data source used secondary data consisting of 5 journals. The conclusions of the results of this study show that: (1) The average results of tests of students mathematical communication abilities through the application of the TSTS model are: (a) The indicator of mathematical representation is 51.93%, (b) The indicator of writing/explaining mathematics was 40.31%, (c) The indicators describe is 37.94%. (2) There are several difficulties experienced by students and teachers are: (a) Students have difficulty connecting real objects, pictures, and diagrams into mathematical models, (b) Students lack confidence in communicating arguments and ideas in mathematical problems, ( c) Students are less thorough in working on questions, (d) Students have difficulty expressing mathematical ideas in the form of graphs, pictures, or tables, (e) Low student skills in understanding mathematical communication problems and drawing conclusions about mathematical communication problems, (f ) The role of the teacher is less than optimal in carrying out learning activities.

Penelitian ini menggunakan metode penelitian kualitatif. Bentuk penelitian yang akan diambil dalam penelitian ini adalah studi kasus. Adapun kasus yang ingin diteliti adalah kemampuan komunikasi matematis siswa dalam membuat pengajuan masalah (problem posing). Tempat penelitian ini dilakukan di SMA Negeri 1 Meliau Kab. Sanggau. Dalam penelitian ini metode pemilihan subjek menggunakan purposive sampling berdasarkan perolehan hasil tes kemampuan komunikasi matematis dalam pengajuan masalah yang diberikan kepada siswa kelas X.  Daru hasil tes telah diperoleh bahwa di kelas X SMA Negeri 1 Meliau terdapat siswa dengan kemampuan tinggi, sedang, dan rendah pada kemampuan komunikasi matematisnya dalam mengajukan masalah matematika. Dari hasil analisis diperoleh 4 siswa dengan kemampuan tinggi, 11 siswa dengan kemampuan sedang, dan 8 siswa dengan kemampuan rendah. Kemampuan komunikasi matematis siswa yang dimiliki masing-masing siswa termasuk kedalam tiga kategori yaitu tinggi, sedang, dan rendah. Dari hasil tersebut dapat diketahui kemampuan komunikasi matematis siswa didominasi pada kategori sedang yaitu dengan perolehan persentase sebesar 52.17%, sedangkan pada kategori diperoleh persentase sebesar 17.30%, dan pada kategori rendan perolehan persentase sebesar 30.43%.