Mathematical Reasoning Ability Research Articles

Implementasi Pembelajaran Matematika Realistik dalam Menganalisis Kemampuan Penalaran Matematis Siswa pada Materi Satuan Debit

This study aims to (1) describe the learning of unit debit with PMR approach and (2) describe the reasoning ability of grade V students on unit debit material. This research was conducted at SDK Lamawalang on April 20, 2024. The subjects in this study were fifth grade students of SDK Lamawalang. The type of research used is descriptive qualitative research, where researchers describe learning practices using PMR models and students' mathematical reasoning abilities after the learning process. Data analysis techniques used include data collection, data reduction, data presentation, and verification/conclusion. The results showed that, (1) the steps of learning unit debit material with PMR model are: (a) understanding contextual problems, (b) solving problems, (c) comparing and discussing answers, (e) drawing conclusions, (2) based on indicators of mathematical reasoning ability, (a) making conjectures, (b) performing mathematical manipulations, (c) compiling evidence, providing reasons/evidence for the correctness of the solution, and (d) drawing conclusions from a statement, obtained for problem I, 20 students can achieve 1-4 indicators of mathematical reasoning, 1 student can achieve 1-3 indicators of mathematical reasoning. For problem 2, 18 students can achieve 1-4 indicators of mathematical reasoning, while 3 students can achieve 1-2 indicators of mathematical reasoning.

The Effect of Google Classroom-Assisted Realistic Mathematics Education Approach on Students’ Mathematical Reasoning Ability

Mathematical reasoning is an important aspect, but there are still many students who are weak when it comes to mathematical reasoning. Factors that affect the level of mathematical reasoning of low students, including: a) students easily forget the material taught; b) the student has no idea in completing it; c) students are not careful in understanding the problems in the problem; d) students do not understand which formula will be used in solving the problem; e) Students do not understand the concept of the material. This research aims to determine whether or not there is an influence of the approach realistic mathematics education helpgoogle classroomon mathematical reasoning abilities. Quantitative Approach method used in this researchpre-experimental design with one group pretest posttest design. The research subject is the experimental class. Data collection was carried out with pretest and posttest data on the mathematical reasoning abilities of grade 7 students at one of the junior high schools in Purwasari district, kabupaten Karawarang. Data analysis techniques in this study that is analyze the scores of pretest and posttest results students by t-test for 2 dependent samples (Paired Sample T-Test) done with the help of IBM SPSS 21 software. The research results show that there is value of sig 0,000 < 0,05 which means a positive influence approach realistic rathematic education help google classroomon ability students' mathematical reasoning. Based on the result, we can be concluded that there is a positive influence of the approach realistic mathematic education help google classroomon students mathematical reasoning abilities. The learning process uses an approach realistic mathematic education help google classroom can be used as an alternative learning to improve students mathematical reasoning abilities.

Metaphorical Thinking Intervention in Learning and Its Impact on Mathematical Reasoning Ability

Dalam beberapa tahun terakhir, penelitian tentang intervensi Metaphorical Thinking (MT) dalam pendidikan matematika semakin mendapat perhatian. Namun, penelitian terbatas telah meneliti bagaimana intervensi MT, ketika diintegrasikan dengan model pembelajaran yang menantang, dapat meningkatkan Kemampuan Penalaran Matematis (MRA) siswa. Untuk mengatasi kesenjangan ini, penelitian kuasi-eksperimental dengan menggunakan desain kelompok kontrol posttest-only dilakukan terhadap 50 siswa di SMP Widya Bhakti Ruteng, NTT, Indonesia. Penelitian ini bertujuan untuk menganalisis pengaruh intervensi MT dalam lingkungan Pembelajaran Berbasis Masalah (PBL) terhadap MRA. Data dikumpulkan melalui tes PMA yang terdiri dari lima soal, dan hasilnya dianalisis menggunakan uji t setelah melakukan analisis prasyarat. Temuannya menunjukkan bahwa siswa yang menerima intervensi MT dikombinasikan dengan PBL menunjukkan MRA yang jauh lebih tinggi dibandingkan dengan mereka yang tidak menerima intervensi MT. Hasil ini menggarisbawahi potensi manfaat dari mengintegrasikan intervensi MT dengan pendekatan pedagogi menantang lainnya. In recent years, research on Metaphorical Thinking (MT) interventions in mathematics education has gained increasing attention. However, limited studies have examined how MT interventions, when integrated with challenging instructional models, can enhance students' Mathematical Reasoning Ability (MRA). To address this gap, a quasi-experimental study utilizing a posttest-only control group design was conducted with 50 students at SMP Widya Bhakti Ruteng, NTT, Indonesia. The study aimed to analyze the effects of MT interventions in a Problem-Based Learning (PBL) environment on MRA. Data were collected through a PMA test consisting of five questions, and the results were analyzed using a t-test after performing a prerequisite analysis. The findings revealed that students who received MT interventions combined with PBL demonstrated significantly higher MRA compared to those who did not receive MT interventions. These results underscore the potential benefits of integrating MT interventions with other challenging pedagogical approaches.

Optimalisasi Kemampuan Penalaran Matematis melalui Metode Mind Mapping

Increasingly rapid global developments raise complex problems that require effective and innovative solutions. Mathematical reasoning is the key to solving the problem. But on the other hand, learning in schools is still a lot of conventional learning and the development of the students' mathematical reasoning skills is not optimal. The aim of this study was to explore the effectiveness of using mind map-based learning methods that were judged to be effective in developing mathematical reasoning skills. With a qualitative approach to literature studies, research results were obtained which showed that the method of mind mapping had a significant influence on the mathematical reasoning ability of the students. Library study sources are derived from previous research that had the same focus of study. Library reviews are used to analyze several studies related to the use of mind mapping-based learning methods and their influence on mathematical reasoning capabilities. This research is expected to provide an understanding of the importance of developing mathematical reasoning skills to form intelligent and critical generations

The Development of Canva-Assisted Scientific Approach Pythagoras Teaching Materials to Improve Students’ Mathematical Reasoning Ability on Junior High School

This research was conducted to determine the development, feasibility, effectiveness, and difficulties in the development of teaching materials on the Pythagorean Theorem using a scientific approach assisted by Canva to enhance the mathematical reasoning abilities of junior high school students. This research was conducted at SMP PGRI 10 Bandung using the Research and Development (R&D) method based on the 4D stages. The research subjects included 33 students from class IX F for limited trials, 27 students from class VIII B, and 29 students from class VIII D for extensive trials. The research instruments used in this study included interviews in the preliminary learning, student responses to the teaching materials, expert validation sheets, and 6 items of reasoning ability test questions. The material used in this research was the Pythagorean Theorem. Student reasoning ability test data were analyzed using Microsoft Excel calculations. The research results indicate that: 1) the development process of the 4D method teaching materials, including a) Define (Definition); b) Design; c) Develop; and Disseminate, have been successfully implemented according to the plan; 2) the validator calculation results obtained a percentage of 86.21%, categorized as "very valid and do not need revision"; 3) the student reasoning ability test results prove that the teaching materials are reasonably effective; 4) significant difficulties include students' lack of understanding of the material, low activity, and a lack of supportive learning facilities.

IMPLEMENTASI MODEL PROBLEM BASED LEARNING UNTUK MENINGKATKAN KEMAMPUAN PENALARAN MATEMATIS PADA MATERI LINGKARAN KELAS VIII

The purpose of this class action research is to define the implementation of the problem based learning model to improve the mathematical reasoning ability of the students of the eighth grade Fatimah Azzahra SMP IT Izzudin Palembang 2023/2024 on circular material. Execution of research using two cycles, each cycle has steps namely planning, action, observation, and reflection. Data collection on this study uses observation, and testing. The research was carried out with the participation of 17 students of the eighth grade at Izzudin Palembang IT High School. The aim of this study is to apply the learning model of problem based learning with the aim of improving the ability of mathematical reasoning of students. Students experience improvement in every aspect. The increase in the percentage of students' scores in mathematical reasoning skills during the first cycle reached 61.91%, while in the second cycle increased by 84.03%. The implementation of this study uses the pre-cycle phase by giving pre-test questions so that students reached the percent of 43.13% and in the post-test phase students achieved 80.84% so that it can be concluded that each indicator of mathematic reasoning ability students experienced a good improvement.

Effect of Blended Learning with Micro-course on Mathematical Reasoning Ability of University Students

Effect of Blended Learning with Micro-course on Mathematical Reasoning Ability of University Students

Pengaruh Efikasi Diri dan Disposisi Matematis Terhadap Kemampuan Penalaran Matematis Peserta Didik Sekolah Dasar

Mathematical reasoning aims to stimulate students to think, solve problems, and communicate information effectively. To achieve good mathematical reasoning, students need mathematical self-efficacy and disposition. So in this research, the approach used is quantitative to determine the relationship between students' self-efficacy, mathematical disposition, and mathematical reasoning abilities. The instruments used were a mathematics disposition questionnaire, self-efficacy questionnaire, mathematical reasoning ability, and learning outcomes tests. The independent variables are self-efficacy and mathematical disposition, while the dependent variable is mathematical reasoning ability. The research sample was selected using a simple random sampling technique so that all elements of the population had the same opportunity to be selected. The research respondents were students from class VI A and VI B at Tetehosi State Elementary School with a total of 62 people. And the research results show that self-efficacy and mathematical disposition have a significant influence on the mathematical reasoning abilities of students in elementary schools, and there is a significant influence between self-efficacy and mathematical disposition simultaneously on the mathematical reasoning abilities of students in elementary schools.

SYSTEMATIC LITERATURE REVIEW: EFEKTIVITAS PENDEKATAN METAKOGNITIF TERHADAP PENINGKATAN KEMAMPUAN PENALARAN MATEMATIK SISWA

Mathematical reasoning ability is an important ability that students must master, but this ability is still relatively low. The aim of this research is to determine the effectiveness of the metacognitive approach on students' mathematical reasoning abilities. The method used in this research is Systematic Literature Review (SLR). This research used 19 articles from 2018 to 2023 sourced from national and international journals, namely 16 articles with a Sinta index, 2 articles from Google Scholar, and 1 international proceedings journal. The results of the SLR research show that the implementation of the metacognitive approach has an effective impact on students' mathematical reasoning abilities. The metacognitive approach can train students to develop mathematical reasoning abilities

PENINGKATAN KEMAMPUAN KOMUNIKASI DAN PENALARAN MATEMATIS SISWA MADRASAH ALIYAH MELALUI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENT

Communication skills and mathematical reasoning are one of the goals of mathematics learning. Where communication is defined as the ability to write, read, listen, study, interpret, and evaluate ideas, symbols, terms, and mathematical information. Meanwhile, mathematical reasoning is a brain habit that if developed properly and consistently will make it easier to communicate mathematics both in writing and orally. Therefore, a relevant learning model is needed to optimize, improve, and develop students' communication and mathematical reasoning skills. One of these learning models is the Teams Games Tournament (TGT) type cooperative learning model. The purpose of this study is to find out: (1) Whether the improvement of communication and mathematical reasoning skills of students who obtain learning with the TGT type cooperative learning model is better than that of students who obtain learning with conventional approaches, and (2) What are the attitudes of students towards mathematics learning who acquire learning with the TGT type cooperative learning model. This study is an experimental research with a pretest-posttest control research design of the design group. The population in this study is all students of class XI MAN Darussalam Aceh Besar consisting of five classes. Meanwhile, the sample consisted of two classes, namely the experimental class and the control class which were taken by random sampling. The instruments used to obtain research data are in the form of communication and mathematical reasoning ability tests, and attitude scale questionnaires. The statistical test used to analyze data on improving communication skills and mathematical reasoning is a two-track anava test, while the attitude scale questionnaire is calculated based on percentages. The results of the study show that the overall improvement of communication and mathematical reasoning skills of students who obtain learning with the Teams Games Tournament type cooperative learning model is better than students who acquire learning with conventional approaches. From the results of the student questionnaire, it was concluded that in general, students have a positive attitude towards mathematics learning using the TGT type cooperative learning model

HOW ARE STUDENTS' CREATIVE REASONING ABILITIES IN SOLVING STRAIGHT-LINE EQUATION PROBLEMS?

Creative reasoning is a person's ability to solve mathematical problems in a manner of thinking that deviates from the norm, yet remains logical and grounded in a strong mathematical foundation. While crucial for students, many have not yet attained proficiency in creative reasoning, necessitating comprehensive research on the subject. This study aims to elucidate students' creative reasoning abilities in tackling straight-line equation problems, focusing on indicators such as creativity, plausibility, and anchoring. Employing a qualitative approach with a case study design, the research involved three students from Madrasah Tsanawiyah who had studied straight-line equations. The primary instrument was the researcher, supported by a creative reasoning ability description test and interviews. Data collection utilized triangulation techniques, encompassing tests and interviews. Analysis of the research findings entailed describing students' creative mathematical reasoning abilities for each creative reasoning indicator in straight-line equation material. Results indicated that while students could provide correct and reasonable arguments in solving mathematical problems, they struggled to devise alternative methods and employ strategies based on mathematical concepts. Consequently, they only met the plausibility criterion, falling short in creativity and anchoring. Thus, it can be concluded that students have not yet achieved creative reasoning proficiency in solving straight-line equation problems.

Integration of the POE Model and Metaphoral Thinking in Student Worksheets: Improving Mathematical Reasoning Abilities in the Modern Education Era

Purpose of the study: This research aims to develop and evaluate the effectiveness of POE-based (Predict, Observe, Explain) student worksheets using a Metaphorical Thinking approach to enhance the mathematical reasoning abilities of class 9 students at Public Middle School. Methodology: This research aims to find out how to develop student worksheets based on POE (Predict, Observe, Explain) through a Metaphoral Thinking approach oriented towards the mathematical reasoning abilities of junior high school students in class 9 and find out the effectiveness of student worksheet products based on POE (Predict, Observe, Explain) through Metaphoral Thinking approach to the mathematical reasoning abilities of Public Middle School 7 Banjit students in class 9. Main Findings: Validation results showed material experts rated the worksheets at 89.4%, media experts at 94.9%, and language experts at 75%, all with high appropriateness. Small group trials averaged 86%, field trials 87%, and educator trials 97.2%, all with very good criteria. The paired t-test (thitung = 12.7 > ttabel = 2.02) confirmed the effectiveness of the POE-based worksheets using the Metaphorical Thinking approach in enhancing mathematical reasoning abilities.. Novelty/Originality of this study: The novelty of this study lies in developing and validating POE-based student worksheets integrated with a Metaphorical Thinking approach to enhance junior high students' mathematical reasoning. This innovative strategy combines cognitive and imaginative techniques, fostering deeper comprehension and problem-solving skills.

Drill & practice and modified Moore strategies: inference on students' mathematical deductive reasoning abilities

Drill & practice and modified Moore strategies: inference on students' mathematical deductive reasoning abilities

Student's perspective: Mathematical reasoning ability and correlations between mathematics and physics

Student's perspective: Mathematical reasoning ability and correlations between mathematics and physics

Mathematical reasoning and self-regulated learning differences by using mathematical literacy-based e-module

This research is motivated by the low level of students' mathematical reasoning abilities related to self-regulated learning. Several aspects that can support it include an e-module and mathematical literacy. Based on this problem, this research aims to describe students' mathematical reasoning abilities reviewed through self-regulated learning, specifically through a mathematical literacy-based e-module. The method used in this research is descriptive with a qualitative approach. The research participants were 32 8th-graders in one of the junior high schools in Palembang. Meanwhile, the research sample consisted of 4 students, consisting of 2 students with a high level of self-regulated learning and 2 students with a moderate level of self-regulated learning. Data collection techniques used were tests, questionnaires, and interviews. The research results showed that students with high levels of self-regulated learning also have a high level of mathematical reasoning ability by showing 3 out of 3 mathematical reasoning ability indicators. Meanwhile, students with moderate levels of self-regulated learning also have moderate mathematical reasoning ability, as shown by two of the 3 mathematical reasoning ability indicators.

Development of learning video comparison using Palembang jumputan context to determine students' mathematical reasoning

The importance of learning videos on comparison materials in the context of Palembang jumputan fabric as a starting point for learning so that students have good mathematical reasoning ability. The purpose of this research is to produce a learning video on comparison using the context of Palembang jumputan fabric that is valid and practical and to determine the potential effect of using a learning video on comparison using the context of Palembang jumputan fabric on students' mathematical reasoning ability. This research uses the Pendidikan Matematika Realistik Indonesia (PMRI) and collaborative learning approaches. This type of research is a design research type of development study. The subjects of this study were 37 seventh-grade students at Srijaya Negara Junior High School, Palembang. The data collection techniques were observation, tests, and interviews, which were analyzed descriptively. This research produced a learning video on comparison material using the context of Palembang jumputan fabric that was valid and practical, and the potential effect of using learning videos on students' mathematical reasoning skills was classified as good, with an average value of 67.52. Using learning videos on comparison materials in the context of Palembang jumputan fabrics makes students' mathematical reasoning skills classified as good.

Comparison Of Inquiry And Problem Solving Approaches Towards Improving Students' Mathematical Reasoning Ability And Self Confidence High School Students

The study aims to identify differences between improved mathematical reasoning skills of students taught with inquiry approaches and mathematics problem solving education approaches; to determine differences in improved self-confidence of teaching students with inquisition approaches, and in mathematically solving educational approaches. This research is categorized into quasy experimental research. This research is being carried out at one of the Higher Secondary Schools in Labuhan Batu regency in the academic year 2023/2024, with the timetable for the conduct of research coordinated according to the school's activities. The subject of this study is a total of 72 high school X-grade students. The results of this survey show that; there is a difference between improved mathematical reasoning skills of students with inquiry approaches and problem solving approaches; there are differences in improved self-confidence students with Inquiry and Problem Solving Approaches; There is a distinction between inquery and problem-solving mathematics education approaches to enhanced mathematic reasoning ability and self confidence

The Effect of Self-Efficacy and Learning Independence on Students Mathematical Reasoning Ability

The purpose of the research is to determine 1) Direct influence of self-efficacy on students' math reasoning ability 2) the Direct influence of learning independence on the ability of mathematical reasoning 3) the Direct influence of self-efficacy on student self-reliance 4). The indirect effect of self-efficacy on mathematical reasoning ability through student learning independence. This research used a survey method. The independent variables bound to this research are Self Efficacy (X1), Learning Independence (X2), and Mathematical Reasoning Ability (X3). The research method used surveys. The sample used is 100 students as a research sample by using a proportional random sampling technique from all students of class VII of National Junior High School in Bekasi City. The data were collected using math-reasoning test and self-efficacy questionnaire and learning independence. Hypothesis testing with path analysis (Path Analys). This study was conducted in January 2018. Based on the results of the hypothesis and data analysis concluded several things as follows (1) There is a direct influence of self-efficacy significant to the ability of mathematics reasoning of students of National Junior High School in Bekasi City. This is evidenced by the acquisition of tcount (4.615)> ttable (1.984). (2) There is a significant direct influence of learning independence to the students' math skills ability in National Junior High School in Bekasi City. This is evidenced by the acquisition of tcount (5.869)> ttable (1.984). (3) There is a direct influence of self-efficacy significantly to the independence of students studying National Junior High School in Bekasi City. This is evidenced by the acquisition of tcount (18,719) > ttable (1,984). (4) There is a significant indirect influence of self-efficacy of students to the ability of mathematical reasoning through the independence of students studying National Junior High School in Bekasi City. This is evidenced by the acquisition of tcount (6.4728) > ttable (1.984). The implications of this research are 1). To improve the ability of mathematical reasoning can be done by improving self-efficacy and student learning independence. 2) to improve learning independence is done by improving self-efficacy.

Penerapan Pembelajaran Berbasis Masalah untuk Peningkatan Kemampuan Penalaran Matematis Siswa Kelas 8 SMP Al-Muhajirin Purwakarta

This research was aimed at analyzing the enhancement of students' mathematical reasoning abilities through problem-based learning. The experimental design was pre-post control group design. The research population was all junior high school student of SMP Al-Muhajirin Purwakarta. The research sample was taken randomly, was the class VIII C students as the experimental group who participated in instruction with problem-based learning and the other class VIII D as control group who participated in instruction with conventional learning. Data was collected through test and questionnaires. The statistical analysis used is the Gain test for the results of students' mathematical reasoning ability tests. The analysis of gain score showed that the enhancement of students’ abilities who participated in instruction with problem-based learning was better than those who participated in instruction with conventional learning. Problem-based learning in mathematics lessons shows a positive response which shows that students like the method used.

PENGARUH STRATEGI WORKING BACKWARD DALAM PEMECAHAN MASALAH MATEMATIKA TERHADAP KEMAMPUAN PENALARAN SISWA SMP NEGERI KOTA JAMBI

Material mathematics and mathematical reasoning are two things that can not be separated, the material is understood through reasoning and mathematical reasoning to understand and learn the material drilled through mathematics. Working Backward strategy is a strategy that is closely associated with logical reasoning ability and verification. Working Backward strategy, students are required to analyze each step by using reasoning. This study used a quasi-experimental methods. This study aims to determine whether there are differences in the effect of the use of the Working Backward strategy in solving math problems on mathematical reasoning abilities of students. The experiment was conducted in Jambi City Junior High School. The population are 375 students, while the studied sample totaled 68 students consisting of 34 students in grade experiments and 34 students the control class. Sampling was done by using simple random sampling technique in class VII. Instruments in this study was a test in the form of mathematical reasoning abilities test description. The results showed that the average value of the experimental class of 74.92 and an average grade of 67.65 control. These results suggest that there are differences average value of the experimental class with the control class. So it can be concluded that the use of the Working Backward strategy in solving mathematical problems affect the ability of mathematical reasoning seventh grade students of SMP Negeri 11 Jambi. Keyword: Working Backward Strategy, Problem Solving, Reasoning Ability Mathematics