Mathematical Reasoning Ability Research Articles

Student Reasoning Based on Mathematical Ability in Solving HOTS Problems through Differentiated Learning

The mathematical abilities of students with reasoning are closely interrelated. The HOTS-type problem is an effort to improve reasoning ability. The ability of students to solve HOTS questions is still relatively low. Through a differentiated learning model, it is expected to help students in the learning process that suits their needs. The purpose of this study is to describe the application of differentiated learning models and describe the mathematical reasoning ability of students who have low, medium, and high abilities. This type of research is qualitatively descriptive with instruments in the form of observation sheets, questionnaires, test questions and interviews. Data analysis techniques include data reduction, data presentation, and conclusions. Test the validity of data using triangulation techniques. The results of this study show that differentiated learning can improve students' ability to reason. Four indicators of mathematical reasoning are, students' ability to present mathematical problems in the form of written statements, students' ability to make conjectures, students' ability to manipulate mathematics, and students' ability to draw conclusions from problems. Subjects with a high level of reasoning meet two indicators. Whereas subjects with moderate levels of reasoning met only three indicators and subjects with low levels of reasoning met only two indicators. Mathematics teachers should provide learning that is in accordance with the learning style of students and students should also do HOTS type questions more often.

The Effect of Meaningful Instructional Design (MID) Learning Model on Students' Mathematical Reasoning Ability on the Material of Arithmetic Rows and Rows in Class VIII SMP Negeri 2 Tebing Tinggi

The aim of this research is to find out how the Meaningfull Instructional Design Learning Model influences students' Mathematical Reasoning abilities on the subject of number patterns, after implementing the Meaningfull Instructional Design (MID) Learning Model. The type of research used is the Pre-experimental Design research method. The research subjects were class VIII-9, totaling 30 people. In this research the author used a quantitative approach. The design used in this research is one-shot case study. Data collection techniques in this research are in the form of tests and questionnaires to determine students' mathematical reasoning abilities in the research process carried out. Data analysis techniques were carried out using normality, linearity and hypothesis testing. From the results of data analysis, it was obtained that the results of students' mathematical reasoning abilities showed that the influence was shown through the regression equation Y = 7.280 + 0.224X. This influence is through the t-test, namely ????count ????table(3.448 > 2.048) or p (sig.) < 0.05 (0.000 < 0.05), then H0 is rejected and H1 is accepted, which means there is an influence of the Meaningful Instructional Design Learning Model. It can be concluded that by applying the influence of the Meaningful Instructional Design Learning Model, it can improve students' mathematical reasoning abilities in students' mathematics learning material on number patterns in class VIII SMP Negeri 2 Tebing Tinggi for the 2023/2024 academic year.

Mathematical Olympiad issues to identify students' reasoning ability using Polya's model

This research aims to describe the level of mathematical reasoning ability of students in solving mathematical Olympiad problems based on problem-solving of the Polya model. This study employed descriptive analysis with a qualitative approach. Data were collected by using observation, documentation, and interviews. The study subjects were 27 junior high school students participating in the National Science Competition in Indonesia. Meanwhile, the Miles and Huberman analysis model was used as the data analysis. The results of this study indicated that: (1) the level of students’ mathematical reasoning-ability based on the problem-solving of Polya models in the category of "sufficiently competent" (high-group students), in the category of "less competent" (medium-group students), and in the category of "incompetent" (low-group students); (2) the most complex and rarely performed stages by students in Polya’s model were at the "devising a plan" and "looking back" stages; and (3) the Polya's model used in solving mathematical Olympiad test items was more suitable for those considered as routine-questions, and it was not suitable for non-routine questions. This study also showed that, on average, the students had difficulty finding initial ideas to start working on the test items.

Improving Students' Mathematical Reasoning Ability and Self-Efficacy Based on DNR-Based Instruction

Kemampuan Penalaran Matematis (KPM) dan efikasi-diri sangat penting bagi mahasiswa calon guru matematika. Namun, fakta menjunjukkan bahwa dua hal tersebut belum sesuai dengan harapan. Tujuan penelitian ini adalah untuk menganalisis dampak dari model DNR-based Instructions terhadap KPM dan efikasi-diri mahasiswa. Metode eksperimen semu digunakan pada penelitian ini dengan nonequivalent control group design. Sampel penelitian ini terdiri dari 39 mahasiswa kelompok model DNR-based Instructions dan 39 mahasiswa kelompok model konvensional. Penelitian ini menggunakan instrumen tes-KPM dengan validitas tinggi dan angket efikasi-diri. Hasil penelitian menunjukkan bahwa: KPM mahasiswa kelompok model DNR-based Instructions lebih baik dari pada KPM mahasiswa kelompok model konvensional, ditinjau secara keseluruhan maupun berdasarkan Pengetahuan Awal Matematis (PAM); Efikasi-diri mahasiswa kelompok model DNR-based Instructions berada pada kategori baik. Implikasi dari hasil penelitian ini adalah KPM dan efikasi-diri dapat ditingkatkan melalui aktivitas pembelajaran yang didasarkan pada cara memahami dan cara berpikir, kebutuhan intelektual dan penalaran berulang. Mathematical Reasoning Ability (MRA) and self-efficacy are very important for prospective mathematics teacher students. However, the facts show that these two things have not met expectations. The aim of this research is to analyze the impact of the DNR-based Instructions model on MRA and student self-efficacy. The quasi-experimental method was used in this research with a nonequivalent control group design. The sample for this study consisted of 39 students from the DNR-based Instructions model group and 39 students from the conventional model group. This research has used MRA-test instruments with high validity and self-efficacy questionnaires. The research results show that: MRA for students in the DNR-based Instructions model group is better than MRA for students in the conventional model group, both overall and based on Prior Mathematics Knowledge (PMK); The self-efficacy of students in the DNR-based Instructions model group is in the good category. The implication of the results of this research is that MRA and self-efficacy can be improved through learning activities that are based on ways of understanding and ways of thinking, intellectual needs and repetitive reasoning.

DEVELOPING DISCOVERY LEARNING-BASED E-MODULE WITH SIGIL SOFTWARE IN FACILITATING STUDENT MATHEMATICAL REASONING ABILITY

This research aimed to develop and produce a Discovery Learning-based e-module with Sigil software to facilitate students' mathematical reasoning ability at Junior High School/Islamic Junior High School, meeting valid, practical, and effective criteria. It was Research and Development with the ADDIE model. The subjects of this research were the eighth-grade students at State Junior High School 23 Pekanbaru. The object was a Discovery Learning-e-module with Sigil software to facilitate students' mathematical reasoning ability on Probability material. The data were qualitative and quantitative. The techniques of collecting data were distributing questionnaire and test questions. The instruments used were a questionnaire sheet and test questions. The data obtained were analyzed by using qualitative and quantitative data analysis techniques. The research findings showed that the quality of the Discovery Learning-based e-module developed with Sigil software was very valid. It was very practical for small group and limited group. For the effectiveness of the e-module, tobserved ≥ ttable, so Ha was accepted, and H0 was rejected. It meant a test result difference between the experiment and control groups. The mean test result of the experiment group was higher than that of the control group. The effectiveness test result showed that the e-module developed could be stated as effective.

Mathematical Reasoning Ability as a Tool to improve Mathematical Literacy

Mathematical reasoning is one of the competencies needed to improve mathematical literacy. Mathematical reasoning is very influential in relation to other sciences and in daily life. This research is a descriptive research with the purpose of describing mathematical reasoning ability of Semester 1 students of Mechanical Engineering Study Program of Balikpapan University. The result of the research shows that there is a good mathematical reasoning in Mechanical Engineering 1st Semester Class A1 Academic Year 2023/2024. With good mathematical reasoning, it can be said that their mathematical literacy is also good enough. Mechanical Engineering students who have good mathematical reasoning will be very supportive in understanding other sciences, especially science in the field of Mechanical Engineering. The problems that arise in the process of mathematical reasoning of Mechanical Engineering Semester 1 students include not understanding the meaning of the problem command, difficulty starting the work steps, lack of accuracy when operating numbers, inability to use certain theories / formulas / rules in solving problems, inability to conclude answers, usually the answer only stops at the calculation result without concluding the results. For students whose achievement of mathematical reasoning ability indicators is still low, it can be helped by often practicing working on problems that require mathematical reasoning. This is one way for teachers to improve their students' mathematical reasoning skills.

The mathematical reasoning abilities of students in solving numeracy literacy problems reviewed from reflective-impulsive cognitive style

Mathematical reasoning is one of the five fundamental mathematical abilities that students need to master. The ability of mathematical reasoning is required by students to solve numeracy literacy problems. One of the factors influencing students' mathematical reasoning abilities is their reflective-impulsive cognitive style. This research aims to describe students' mathematical reasoning abilities in solving numeracy literacy problems in terms of the reflective-impulsive cognitive style. The research adopts a qualitative approach, with 6 students from class 9B at SMP Al Falah Ketintang Surabaya selected using purposive sampling. The research instruments include the MFFT cognitive style test sheet, numeracy literacy test sheet, and an interview guide that has been validated by three validators. Data analysis techniques involve data collection, data condensation, data presentation, and drawing conclusions. Based on the analysis and discussion, it is concluded that the mathematical reasoning abilities of students with a reflective cognitive style, particularly in the indicator of performing mathematical manipulations, are not yet well fulfilled. Similarly, the mathematical reasoning abilities of students with an impulsive cognitive style, especially in the indicator of constructing evidence and providing reasons/evidence for the correctness of the solution, are not yet well fulfilled. The mathematical reasoning abilities of students with both reflective and impulsive cognitive styles in solving numeracy literacy problems are more dominant in the moderate and low categories.

Analysis of Operation Ability Literacy in Junior Middle School Mathematics Classroom Teaching

The "Compulsory Education Mathematics Curriculum Standards (2022 Edition)" revised in 2022 clearly points out that the cultivation of mathematical operation ability is of great significance and value to the development of students' core literacy. Starting from the analysis of the connotation and requirements of mathematical operation ability literacy in the new curriculum standard, this paper analyzes the current situation of implementing mathematical operation ability literacy in the current junior middle school mathematics classroom teaching. Therefore, specific suggestions are put forward for the implementation of operation ability literacy: 1. Teachers should pay attention to the introduction in class and students' mastery of algorithms and calculation laws; 2. Teachers should standard their own problem-solving process to play an exemplary role; 3. Teachers should emphasize the principle of operation so as to encourage the students to make simple calculations; 4. In the teaching process, teachers should pay attention to guiding and questioning students, so as to promote the development of students' mathematical reasoning ability. These strategies can provide a reference for junior middle school mathematics teachers to cultivate students' mathematical operation abilities.

Pengaruh Model Pembelajaran Kooperatif Tipe Double Loop Problem Solving terhadap Kemampuan Penalaran Adaptif dan Disposisi Matematis pada Materi Trigonometri

This study was motivated by the low quality of education in Indonesia based on the results of PISA 2018, the implementation of the 2013 Curriculum which did not follow the use of appropriate learning models, as well as the low adaptive mathematical reasoning abilities and mathematical disposition of students. This research aims to determine the influence of the Double Loop Problem-Solving cooperative learning model on the adaptive reasoning abilities and mathematical disposition of class X students at SMA Negeri 1 Karangan on Trigonometry material. This research was conducted using a quantitative approach with a Quasi-Experimental research type and a Nonequivalent Posttest-Only Control Group Design. As for sampling, non-probability sampling was used with the Purposive Sampling technique with class X MIPA 3, totaling 35 students, as the experimental class and X MIPA 4, totaling 36 students, as the control class. Data collection techniques using tests, questionnaires, and documentation. The data analysis technique in this research uses the Manova test. The research results show that there is a significant influence due to the application of the Double Loop problem-solving cooperative learning model on students' adaptive reasoning abilities and mathematical disposition.

Faktor yang memengaruhi keterampilan penalaran matematis di sekolah dasar: systematic literature review

<p><em>Mathematical reasoning skills are one of the most important skills mastered to support the 21st century. The purpose of this research is to systematically search for literature on factors that affect the ability of mathematical reasoning in elementary schools. Searched literature for journal papers published in the 2013-2023 period. The literature criteria used are articles that specifically discuss factors that affect mathematical reasoning skills. According to the results of the search, 4 selected articles that meet the requirements. The review shows that mathematical reasoning abilities are affected positively and significantly by initial knowledge and self-accusations. Therefore, teachers need to develop self-efficacy and early knowledge to support the ability of mathematical reasoning. The conclusion of the study can be used as a reference for further research. As for the practical implications, students are expected to increase self-efficacy and develop their initial abilities so that their reasoning skills also increase., By increasing the ability of mathematical reasoning, the purpose of learning can also be achieved.</em></p>

Mathematical Reasoning Ability and Mastery of Science Concepts in High School Students

Mathematics arises because the human mind deals with ideas, processes and reasoning. The thought process carried out during science activities is a form of thinking called reasoning. In studying the concepts of Natural Sciences (IPA) requires two types of reasoning, namely deductive reasoning (deduction) and inductive reasoning (induction). Both types of reasoning help students think creatively, critically, analytically, meticulously and logically in dealing with everyday life problems. The purpose of this study is for students' ability to do mathematical reasoning, and examine the mastery of science concepts (Physics and Biology) in students of SMA Negeri Kodya Banda Aceh. The research method used is descriptive and correlational, to describe the ability of mathematical reasoning and mastery of science concepts (Physics and Biology). The subjects of the study population were all grade II students of SMA Negeri Kodya Banda Aceh. While the research sample subjects used were six classes from one of the Kodya State High Schools Banda Aceh which were determined purposively by the curriculum field. Research instrument to capture mathematical reasoning ability data using the Mathematical Reasoning Ability Test (TKPM). And mastery of the science concept using the Science Concept Mastery Test (TPKIPA) in the form of a description. As well as using the average value statistic ( ) and using the chi-squared formula (x2). The results of the study that mathematical reasoning skills in learning science concepts (Physics and Biology) on average are still in the category of lacking. The ability to reason mathematics has a high relationship with mastery of science concepts in high school students.

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

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.

Research on the Cognitive Degree of Pre-service Mathematics Teachers for Mathematical Reasoning Ability in Junior High School in China

Currently, the education of junior high school mathematical reasoning ability has been widely concerned by all walks of life. Many relevant problems about it have been studied except the cognitive degree of pre-service mathematics teachers for the mathematical reasoning ability in junior high school. To address this problem, this study investigates 25 pre-service mathematics teachers’ cognitive degree of junior high school mathematical reasoning ability through open-ended interviews, obtains the current situation of pre-service teachers’ cognitive degree of mathematical reasoning ability in junior high school, and gives targeted suggestions for training pre-service mathematics teachers, so as to promote the implementation of the training goal of mathematical reasoning ability in junior high school. After analyzing, it can be found that: (1) The cognitive scope of the current pre-service mathematics teachers’ mathematical reasoning ability is not wide, more than half of the people do not recognize half of the content; (2) The cognition of many pre-service teachers is not deep, and their understanding of ability performances is simple; (3) The cognition of many pre-service teachers for many aspects of mathematical reasoning ability is not clear. Therefore, it is suggested that: (1) Experts and teachers who are responsible for educating teachers should pay more attention to mathematical reasoning ability in junior high school and add relevant courses; (2) Pre-service mathematics teachers should understand the content of junior high school mathematical reasoning ability comprehensively and deeply, and clarify relevant statements.

Kemampuan Penalaran Matematis Siswa SMK dalam Memecahkan Masalah Barisan dan Deret Aritmatika

The learners must have reasoning ability. The level of mathematical reasoning ability of students plays an important role in solving mathematical problems, and the application of mathematics to everyday life. This study was conducted with the aim of describing the level of mathematical reasoning of class X SMK Graha Madina Singosari. The method used in this research is descriptive qualitative and the data collection procedure in this research is a written test. Students with low reasoning abilities show that they have not carried out a coherent problem solving process. They did not make any allegations regarding the problem at hand. Students with moderate abilities have carried out procedures coherently but not all questions have been answered correctly. The indicators achieved are making conjectures, carrying out mathematical manipulations and compiling evidence or reasons for the correctness of the solution. Meanwhile, students with high reasoning abilities fulfill all the predetermined indicators so as to reach the correct solution. However, students' mathematical reasoning abilities still need special attention in order to improve because only a third of students have high abilities.

The Influence of the Connected Mathematics Project Model on Mathematics Learning on Students’ Mathematics Learning on Students’ Mathematical Reasoning Abilities at SMAN 2 Rumbio Jaya

This research was motivated by the problem of low mathematical reasoning ability of students in mathematics learning in grade XI SMAN 2 Rumbio Jaya. One solution to overcome this problem is to use the connected mathematics project (CMP) learning model. The purpose of this study was to improve the mathematical reasoning ability of high school students. This type of research is quasi-experimental research or pseudo-experiments involving two classes that are given different treatments, namely the experimental class and the control class. The research subjects consisted of class XI where class XI IPS1 was an experimental class with a total of 19 people and class XI IPS2 in the form of a control class with a total of 21 people. The sample technique uses simple random sampling. Before being given experimental class treatment and control class is first given a test, namely pretest, and after being given experimental class treatment and control class given posttest test. The results of this study, students' mathematical reasoning ability in the control class was found to be on average in the control class of 76.19 while in the experimental class it was found to be an average of 83.00. So that the Connected Mathematics Project model has a significant effect on the mathematical reasoning ability of grade XI students of SMA Negeri 2 Rumbio Jaya. This is evidenced by an independent t-test, where the sig value is 0.000 < 0.05.

Analysis of Students Mathematical Reasoning Ability in Solving Algebra Word Problems in terms of Learning Styles

This study aims to describe students' mathematical reasoning abilities in solving algebra word problems in terms of learning styles. This type of research is descriptive qualitative research. The research subjects were class VII A students of SMPN 1 Pasrepan for the 2022/2023 academic year. The subjects in this study were 2 students with a visual learning style, 2 students with an auditory learning style, and 2 students with a kinesthetic learning style. Data collection techniques in this study were learning style questionnaires, mathematical reasoning ability tests, and interviews. Triangulation in this study uses triangulation techniques. The results of this study indicate that subjects with a visual learning style have high mathematical reasoning abilities with a percentage of 78.75%, subjects with an auditory learning style have high mathematical reasoning abilities with a percentage of 93.75%, and subjects with a kinesthetic learning style have reasoning abilities moderate mathematics with a percentage of 60%.

Enhancing Junior High School Students’ Reasoning of Linear Equations Using GeoGebra Software

The important role of visual representations in supporting students’ learning of geometry concepts and their reasoning is well established. GeoGebra is dynamic and interactive software that can assist students in exploring mathematical concepts effectively. This research aims to examine the effectiveness of GeoGebra in enhancing eighth-grade students’ mathematical reasoning on the topic of linear equations. The study used a quantitative approach with a non-equivalent control group design by applying GeoGebra. Data were obtained through interviews and a mathematical reasoning ability test. The interviews were analyzed descriptively, and the reasoning test was analyzed using dependent t-tests. The findings revealed that GeoGebra significantly helps students’ to have a better understanding of linear equation properties, such as the gradient of parallel, coincident, perpendicular, and intersecting lines. The mathematical reasoning test revealed that learning with GeoGebra can improve students’ mathematical reasoning skills, specifically in linear equations. Teachers are encouraged to incorporate GeoGebra, as its visualization function enables students to explore linear equation properties.

Effectiveness of the RME (Realistic Mathematical Education) Approach to Learning Achievement in View of Students' Mathematic Reasoning

This study is expected to collect objective information and analyze the potential differences in improving mathematical reasoning abilities between students taught using the Realistic Mathematics Education (RME) approach and students who received conventional learning. The research used a quantitative quasi-experimental method conducted at a public elementary school in Pacitan District. The results of this study indicate that the use of the Realistic Mathematics Education (RME) approach significantly improves students' mathematical reasoning abilities. In particular, students with high mathematical reasoning abilities experienced more significant improvements than those with medium and low mathematical reasoning abilities.

Analisis Kemampuan Penalaran Matematis Menggunakan Model PBL Ditinjau Dari Kecerdasan Intrapersonal

The purpose of this study is to determine the state of mathematical reasoning ability using the PBL model in terms of intrapersonal intelligence. The instruments used were reasoning ability tests, intrapersonal intelligence questionnaires and interview guidelines. Data analysis uses the Mile and Huberman models. The subjects in this study were students of SMP N 1 Tamiang Hulu. Students who were given problem-based learning treatment totaled 30 people. High ability students were 8 students or (26.67%), medium ability students were 18 students or (60%) and low ability students were 4 people or (13.34%). The conclusion of mathematical reasoning abilities using a problem-based learning model, 7 students or (23.33) high ability students, 13 students or (43.33%) moderate ability students and 10 low ability students. or (33.33%)

Analisis Kemampuan Penalaran Matematis Siswa SMP Kelas VIl dalam Menyelesaikan Soal Cerita Ditinjau dari Persepsi Siswa

<p><em>The purpose of this study was to analyze the mathematical reasoning ability of seventh grade junior high school students in solving story problems in terms of student perceptions. This research used qualitative method with descriptive approach. The subjects in this study were 31 students of class VII A SMP N 5 Magelang with the selection of subjects using purposive sampling technique. The instruments used were observation sheets, which were used to observe the mathematics learning process, questionnaires of students' perceptions of mathematics, mathematical reasoning ability tests, interview guidelines, and documentation. The stages of data analysis in this study include data collection, data reduction and data presentation. Meanwhile, to check the credibility of data using triangulation techniques. The data generated in this study are data on the results of students' perceptions of mathematics, data on the results of mathematical reasoning ability tests on whole numbers and fractions, and interview transcripts with research subjects. The results of this study show that students with very positive perceptions with high reasoning ability and students with positive perceptions with high reasoning ability are able to explain orally all indicators of mathematical reasoning but are unable to explain in writing the indicators of determining strategies</em></p>