Interaction between Mathematical Problem-Solving Skills and Mathematical Communication Skills of Junior High School Students: A Qualitative Approach

The purpose of this study is to describe the increase in the mathematical reasoning and communication skills of junior high school students by applying the auditory intellectually repetition (AIR) learning model. This research is a quasi-experimental research with a design pretest-posttest control group desaign. The population of this study were all students of class IX MTs Diponegoro in the 2021/2022 school year. The type of sample used in this study was random assignment. As for the research sample, two classes were selected, namely class IX A as the control class and class IX B as the experimental class. The instruments used in this study were observation sheets and tests. The observation sheet was used to determine the suitability of learning in the classroom with Auditory Intellectually Repetition (AIR) learning model. The test instrument used in this study was a description question to measure students' mathematical reasoning and communication abilities. The data obtained were processed with two statistical data processing programs, namely SPSS and Microsoft Excel. The results showed that the increase in the reasoning ability of the experimental class was in the medium classification and the control class was in the low classification. Meanwhile, for the improvement of mathematical communication skills, the experimental class is in the medium classification and the control class is in the low classification. So that the auditory intellectually repetition (AIR) learning model can improve students' mathematical reasoning and communication skills. KEYWORDS: learning model Auditory Intellectually Repetition (AIR), mathematical reasoning skills, mathematical communication skills. The purpose of this study is to describe the increase in the mathematical reasoning and communication skills of junior high school students by applying the auditory intellectually repetition (AIR) learning model. This research is a quasi-experimental research with a design pretest-posttest control group desaign. The population of this study were all students of class IX MTs Diponegoro in the 2021/2022 school year. The type of sample used in this study was random assignment. As for the research sample, two classes were selected, namely class IX A as the control class and class IX B as the experimental class. The instruments used in this study were observation sheets and tests. The observation sheet was used to determine the suitability of learning in the classroom with Auditory Intellectually Repetition (AIR) learning model. The test instrument used in this study was a description question to measure students' mathematical reasoning and communication abilities. The data obtained were processed with two statistical data processing programs, namely SPSS and Microsoft Excel. The results showed that the increase in the reasoning ability of the experimental class was in the medium classification and the control class was in the low classification. Meanwhile, for the improvement of mathematical communication skills, the experimental class is in the medium classification and the control class is in the low classification. So that the auditory intellectually repetition (AIR) learning model can improve students' mathematical reasoning and communication skills. KEYWORDS: learning model Auditory Intellectually Repetition (AIR), mathematical reasoning skills, mathematical communication skills.

This research is motivated by the ineffectiveness of students' mathematical problem-solving abilities and mathematical communication abilities. This study aims: to determine whether there is a relationship between students' mathematical problem-solving skills and students' mathematical communication skills. The type of research used is quantitative research with correlational methods. The population in this study was class VII with a total of 67 students. Sampling was carried out using total sampling technique, which means that all populations were used as samples. The research instrument used was a test of the ability to solve mathematical problems and mathematical communication skills. Data analysis used the prerequisite test of the linear regression model, the correlation coefficient test of the Product Moment formula, the correlation coefficient t test, and the coefficient of determination.

Students' mathematical communication skills are crucial for supporting conceptual understanding and problem solving in mathematics. However, many students still experience difficulties in relating mathematical ideas to everyday situations and clearly explaining mathematical concepts and relationships. This study aims to test the effectiveness of the Auditory Intellectually Repetition (AIR) learning model combined with the JKT 48 song "Fortune Cookie" in improving students' mathematical communication skills. Unlike previous studies that used a qualitative approach, this study employed a quantitative method with a One Group Pretest-Posttest design. The subjects were 23 seventh-grade students at MTs Ma'arif Roudlotut Tholibin Metro. The research instrument was a descriptive test administered before and after the treatment to measure improvements in mathematical communication skills. Data analysis using a paired-sample t-test showed a significant improvement in students' mathematical communication skills after the implementation of the song-assisted AIR model. The average pretest score of 19.21 increased to 81.73 in the posttest. These results indicate that integrating the AIR model with popular songs can be an effective innovation in enjoyable and meaningful mathematics learning

Mathematical communication skills are essential for students to convey ideas, explain reasons, and solve mathematical problems both orally and in writing. In the context of the Three-Variable Linear Equation System (STLEV), many students face challenges in presenting solutions systematically and explaining their choice of solution methods. This study aims to analyze the mathematical communication skills of tenth-grade students in solving STLEV problems, with a focus on their arguments in choosing solution methods from both oral and written perspectives. Using a mixed-method approach with a descriptive approach, four students were purposively selected to represent diverse academic abilities. Data were collected through written exams and in-depth interviews, then analyzed using a holistic assessment rubric. Results showed variation in students’ mathematical communication skills, ranging from moderate to very high, with common difficulties including structuring solution steps and drawing conclusions. Factors such as reading habits, frequency of practice, and teacher consistency were found to influence performance. This research demonstrates the need for explicit training in systematic solution writing and reasoning to enhance conceptual understanding and problem-solving skills in mathematics.

Lack of students 'social skills makes students' mathematics learning less optimal. The learning model that is carried out is often not maximizing the learning process-oriented towards mathematical communication skills. This makes the teacher strive for a learning method or strategy to foster students' social skills and mathematical communication skills. The Pair Check method is one of the learning methods expected to train and improve students' social skills and mathematical communication skills. The subjects of this study were 24 students of class VII B MTs Riyadlul Ulum Bendungan. The results showed that: (1) students social skills had a percentage of 74.05% with the "most" criteria, which means that most of the students had quite good social skills. At the same time, students' mathematical communication skills have a percentage of 49.55% in the less category. (2) the application of the pair check method can improve students' social skills and mathematical communication. This can be seen from the post-tests average value, which is greater than the pretest, namely pretest posttest or 13.88 19.58. (3) the application of the pair check method has implications for the social skills and mathematical communication skills of students at MTs Riyadlul Ulum Bendungan. This can be seen from the results of the questionnaire and the test results after the pair check method was applied. It was better than the questionnaire results, and the test results before the pair check method were applied

This study aims to analyze the differences in the improvement of mathematical communication skills and mathematical problem solving of students who are taught using manipulative virtual learning media and physical manipulative learning through project-based learning models (PjBL), as well as analyzing the performance of class VII students of SMP Plus Jabal Rahmah Mulia Medan in solving problems. questions that measure communication skills and mathematical problem solving. Data obtained through subjective tests or essay tests, each of which measures the students' mathematical problem solving and communication skills. Data were analyzed using ANACOVA test. The population in this study were all students of class VIII of the private high school Jabal Rahmam Mulia for the 2020/2021 academic year. While the sample in this study is class VIII1 which is the first experimental class which is taught using manipulative virtual learning media and class VIII2 is the second experimental class which is taught using physical manipulative learning media. Based on the results of the ANACOVA calculation, the analysis results obtained F_hitung = 3,450 ˃ Ftable = 3.38 and with sig = 000, because the significant level is smaller than 0.05 so that H_0 is rejected and H_a is accepted. Thus, there are differences in problem-solving abilities between students who are given a realistic mathematics approach assisted by macromedia flash and students who are given a contextual approach assisted by macromedia flash. Based on the results of the analysis F_count = 20.889 ˃ F table = 3.38 and with sig = 000, because the significant level is smaller than 0.05 so that H_0 is rejected and H_a is accepted. Thus, there are differences in mathematical communication skills between students who are given virtual manipulative assisted project-based learning (PjBL VM) and students who are given physical manipulative assisted project-based learning (PjBL PM).

Abstract: The objective of this research was to find out students’ learning activity on Linear Equation System of Two Variables subject using Geogebra learning media, to find out if there was an increase in the students’ mathematic communication skills on Linear Equation System of Two Variables subject using Geogebra learning media, and to describe the students’ mathematic communication skills on Linear Equation System of Two Variables subject using Geogebra learning media. This research was conducted at SMP Negeri 1 Ngusikan. Based on the data in the school, the students’ mathematic communication skills was still low, so the use of Geogebra media was expected to increase students’ mathematic communication skills. This research applying qualitative research. The data were collected by tests and interview. To analyzing the students’ mathematic communication skills, the researcher did pre-test and post- test. The result showed that the application of Geogebra learning media can increase the students’ mathematic communication skills on Linear Equation System of Two Variables subject. It proved from the students work process in accordance with the indicators of students’ mathematic communication. Furthermore, the students’ mathematic communication skills will be described by the factors which include the learning process, students’ attitudes and comprehension, also giving question that can measure mathematical communication skills continuously.
 Keywords: Mathematic communication skills, Geogebra, Linier Equation System of Two Variable

The main purpose of this study was to compare and examine the effectiveness of problem-posing and think-pair-share cooperatives' learning models on mathematical problem-solving skills and mathematical communication skills. This study was experimental research with a quasi-experimental design. The samples of the study were 41 students for classroom experiments and 40 students for classroom control. The instruments employed in this study were pre-test and post-test. The instruments were made in essay forms which design to measure students’ mathematical problem-solving skills. The result of the study showed that problem-posing and think-pair-share are very effective to improve students’ mathematical achievements. However, between the problem-posing and think-pair-share, the think-pair-share is more effective than problem-posing, view from the standards of mathematical problem-solving skills and mathematical communication skills of Junior High School students.

<p>The purposes of this research were: (1) to understand does Cycle Learning 5E and Brainstorming Methods learning method produce the better mathematics communication capability rather than direct learning method, (2) to understand are students with high motivation have better mathematic communication skills than students with average motivation, are students with average motivation have better mathematic communication skills than students with low motivation, (3) to understand for students with high and average motivation does Cycle Learning 5E and Brainstorming method produce mathematic communication skills better than direct learning and for low motivation students does it produce the same mathematic skills with direct learning. (4) to compare on high with average motivation students, also both the average with low motivation students and high with low motivation students about how Cycle Learning 5E and Brainstorming methods gives them the better mathematic communication skills. This is a quantitative research with pseudo-experiment methods. The population of this research was all the VII grade students of Batang State 1 Junior High School. Sampling method was by Cluster Random Sampling technique. The data collection was using test method and questionnaire method. Data was analyzed by two ways Annova.</p>Result shows that: (1) Cycle Learning 5E and Brainstorming method gives better mathematic communication skills for students rather than direct learning; (2) students with high motivation have better mathematics communication skills than low motivation students, while high and average motivation students have the equal level of mathematic communication skills, and same goes to students with average and low motivation; (3) for all students with high, average and low motivation, the Cycle Learning 5E and Brainstorming method gives better mathematics communication skills than direct learning; (4) on teaching with Cycle Learning 5E and Brainstorming method, high motivation students have better mathematic communication skills rather than low motivation students, while they have equal communication skills with average motivation students. This condition happens also to the average and low motivation students.

Mathematical communication skill in a mathematics learning process isa basic skill that must be possessed by students in developing the ability to think, reason, and solve problems. Especially in virtual learning, both online learning and blended learning, teachers must be able to conduct learning that built students' mathematical communication skills. Implementing web-based geometry in space and plane learning can be an alternative for forming mathematical communication skills with the aid of technology in today's virtual learning environment. This research aimed to examine 1) how web-based geometry in space and plane learning is implemented, 2) how students' mathematical communication skills are built through web-based geometry in space and plane learning, and 3) what learning alternatives need improvement to optimize students' mathematical communication skills. This research used a qualitative method with instruments in the form of lecturer activity observation sheet, student activity observation sheet, interview guide, and mathematical communication skills test. Data were collected through observation of learning implementation, mathematical communication skills testing, and interviews based on the test results. The data were analyzed with a descriptive technique. The results showed that 1) web-based geometry in space and field learning can be implemented by exploring with concept discussion on the activity pages, 2) web-based geometry in space and plane learning could help students explore ideas throughout the students' mathematical communication skills formation process, and 3) the learning could be improved by developing an HLT (hypothetical learning trajectory) using technology to develop a higher level of mathematical thinking ability.

Mathematical communication skills are the ability to identify and write everyday problems into mathematical language. One way to improve mathematical communication skills is to apply Moodle-assisted CTL learning. This study is written to analyze and evaluate mathematical communication skills improvement of the students taught by moodle-assisted CTL learning model. The research design used is experimental research with Pre-Experimental Design. The samples of this research are students of class VIII A at SMP Negeri 22 Semarang. The research data is obtained using a mathematical communication ability test. The data analysis in this study are; (1) Right Side Proportion Test; (2) Average difference Test; (3) N-Gain Test. The results of data analysis in this study are interpreted as follows: (1) students' mathematical communication skills in Moodle-assisted CTL learning are classically complete (Z_count>Z_table; 1.66 > 1.64); (2) mathematical communication skills in CTL learning assisted by Moodle have completed the minimum completeness criteria (t_count>t_table; 5.55 > 1.72); (3) there is an average increase in students' mathematical communication skills between before being given Moodle-assisted CTL learning and after Moodle-assisted CTL learning with N-Gain of 0.57. So we can conclude that students' mathematical communication skills have improved during the application of the moodle-assisted model, and we can suggest that the moodle-assisted CTL learning model can be used to improve mathematical communication skills.

The purpose of this research is to analyze mathematical communication skills and find patterns in thinking process of students in terms of social skills through learning Assurance Relevance Interest Assessment and Satisfaction (ARIAS). This research was conducted in Tasikmalaya city with 80 students as research subjects. The research method uses a sequential explanatory combination. Data was collected through tests of mathematical communication skills and social skills questionnaires. Data analysis techniques to test hypotheses using proportion tests. Based on the results of data analysis, it was concluded that mathematical communication skills of the students through ARIAS learning achieved ideal completeness. Subjects from very skilled groups, thinking processes in mathematical communication skills on each indicator written text, drawings, and mathematical expressions have written what is known and asked, equipped with images, the steps are clear, answer in 2 ways, but there are errors in so wrong calculations in the final result. Whereas subject from skilled groups, have not written in full what is known and asked, the stages are incomplete, some use images and are equipped with other alternatives in the process of completion. Subjects from quite skilled groups have deficiencies in each written text, drawing, and mathematical expressions.

<p> Mathematical reasoning and problem-solving skills have become a very necessary need at this time. Students who do not have mathematical reasoning and problem-solving skills will have difficulty adapting to current technological advances. The purpose of this study is to design mobile-based mathematics learning to improve students' mathematical reasoning and problem-solving skills. The subjects of this study were junior high school students. The research method developed was ADDIE (Analysis, Design, Development, Implementation, Evaluation). The results of the study showed that improving students' mathematical reasoning skills had a very positive impact on students' mathematical problem-solving skills. These results provide additional contributions and references for mathematics teachers who want to add knowledge related to improving the quality of mathematics learning in the classroom.</p>

This research was aimed at examining the improving mathematical connection and communication ability and self-concept of vocational students through cooperative learning of jigsaw so that they were able to be more motivated in learning mathematics, more understanding mathematics learning itself and to apply it in everyday life. This research method was a quasi-pretest-posttest experiment that applied a jigsaw cooperative learning model. This study involved two groups of students who studied about mathematical connection and communication skills and students' self-concepts. The instruments used were in the form of mathematical connection and communication skills, as well as student self-concept questionnaires. The research instruments were firstly tested for validity (logical and empirical), reliability, distinguishing features and the level of difficulty of the questions. The achievement of mathematical connections and communication skills and the self-concept of students who got learning with a scientific approach to the type of cooperative learning model jigsaw was better than students who only learned the scientific approach. In this study there was also an association between the ability of connections with mathematical communication of students in the high category. There was an association between the ability of connections with students' self-concepts in the high category. There was an association between mathematical communication skills and students' self-concepts in the high category.

The mathematical reasoning ability of Bina Mulya High School students in Bandar Lampung is relatively low because students are less involved in learning and there is less opportunity to ask questions and discuss with friends. Starting from the above problems the writer wanted to know whether learning methods Buzz Group can improve the ability of mathematical reasoning and communication skills of learners. The method used is quasi-experimental design, with a population of learners in class VIII Bina Mulya High School Bandar Lampung. The research sample number 59 learners, where there are 30 students experimental class and the control class of 29 students. The ability of mathematical reasoning and communication skills mathematical learners were measured using a test consisting of 16 questions and after a description of the data analysis process, the test questions were taken to test the hypothesis as many as 11 a matter of description. Based on the results of tests of normality and homogeneity tests, found that the test data from the two groups were normal and homogeneous. The further test of the hypothesis that has been used two sample t-test did not correlate. The result of hypothesis testing found that the reasoning ability tarithmetic >table namely 2,212>2,002 and hypothesis testing results found that the mathematical communication skills arithmetic table 3,2761>2,00246 so H0 and accept Ht. Buzz Group that the learning model can improve the ability of mathematical reasoning and communication skills of learners SMP Bina Mulya Bandar Lampung.