Mathematical Reasoning Ability Test Research Articles

Validity and Reliability Survey of Mathematical Reasoning Ability of Senior High School Students Using Statistical Applications

In Indonesia, students' reasoning ability is still very low, especially in mathematical reasoning ability. It was found that the data of mathematical reasoning ability test results of class X students where only 47.22% reached the minimum learning completeness. Reasoning ability also plays an important role in the process of thinking creatively, logically, and systematically so that students can conclude solutions from several known facts as well as proof of mathematical statements, find new ideas, overcome challenges in solving mathematical problems, and reduce dependence on memorization. This study aims to determine the validity and reliability in mathematical reasoning ability of high school students using two statistical applications, namely SPSS and Winstep. The research method used is a quantitative research method with a survey approach, which has a total of 252 respondents from class X high school students in Jakarta. The results of the validity test research using SPSS have 6 valid items so that they are in accordance with the criteria. While the results of the validity test using Winstep there are seven items that do not match the three, and there are twenty-nine items that only meet one requirement, so 154 items must be maintained because they are fulfilled. Meanwhile, the results of reliability calculations using SPSS and Winstep obtained the results (α = 0,74). By using two different statistical applications, namely SPSS and Winstep, it can be stated that the results of the mathematical reasoning ability test have been declared valid and reliable.

Constructing The Bridge of Understanding: The Role of Habit of Mind, Resilience, and Mathematical Self-Confidence in Solving HOTS Problems


 
 
 This study aims to analyze the influence of Habit of Mind, Mathematical Resilience, and Self-Confidence on the ability of fifth-grade students at SDN Gugus Gajah Mungkur, Gajah Mungkur District, Semarang City, to solve HOTS mathematics problems. Employing a quantitative approach with a correlational design, the research sample consists of 110 students, selected through proportional random sampling from a population of 136 students across five elementary schools within the Gajah Mungkur cluster. The research instruments include a mathematical reasoning ability test and a questionnaire to measure the independent variables. Data collection techniques involve tests and questionnaires, while data analysis employs descriptive analysis using Microsoft Excel 2016 and inferential analysis using statistical software such as SPSS. This includes conducting correlation tests, and regression tests, after verifying analysis requirements like normality, linearity, homoscedasticity, and autocorrelation. The results reveal a positive and significant relationship between Habit of Mind, Mathematical Resilience, and Self-Confidence, and the students' ability to solve HOTS Mathematics problems. Thus, this study highlights the importance of developing these three psychological aspects to enhance high-level mathematical problem-solving skills. Consequently, Habit of Mind, Mathematical Resilience, and Self-Confidence significantly contribute to improving students' abilities in solving HOTS Mathematics problems.
 
 

Analisis Kemampuan Penalaran Matematis Siswa dalam Mengerjakan Soal Cerita Materi Kelas VIII SMP

This research is a descriptive research that aims to analyze the level of students' mathematical reasoning abilities in solving math problems in the form of stories. This research was conducted at SMP Negeri 7 Sungaipuh with the subjects taken, namely class VIII C students for the 2022-2023 academic year. The instrument used is a test of mathematical reasoning ability as many as 4 items and interviews with several students. The results showed that the students' mathematical reasoning abilities at SMP Negeri 7 Sungai Lilin were classified as moderate. students are able to imagine how to solve questions and apply them when answering questions. However, there are still students who are less able to understand the meaning of one of the questions given and indicators of drawing conclusions that are still lacking.

Penerapan Model Pembelajaran PBL Berbantuan Aplikasi Geogebra Untuk Meningkatkan Kemampuan Penalaran Matematis Siswa Kelas VIII

This research aims to: (1) improve students' mathematical reasoning abilities by applying the problem based learning model assisted by the Geogebra application in mathematics learning for class VIII students at SMP Negeri 3 Sunggal; (2) describe the process of completing student answers related to students' mathematical reasoning by applying the problem based learning model assisted by the Geogebra application. This research is Class Action Research. The subjects in this research were 28 students in class VIII of SMP Negeri 3 Sunggal. The results of the research show that: (1) students' mathematical reasoning can improve after learning by applying the problem based learning model assisted by the Geogebra application where the average student score in the cycle I reasoning ability test was 65.85, increasing to 85.39 in cycle II and classical completeness in the reasoning ability test in cycle I was 16 students (57.14%) increasing to 26 students (87.88%) in cycle II; (2) the process of students' answers in completing the mathematical reasoning ability test is in the good category, this can be seen from the students' answers which have been able to meet the indicators of mathematical reasoning ability. So it is concluded that the application of the Problem Based Learning learning model assisted by the Geogebra application can improve students' mathematical reasoning abilities.

Perbedaan Kemampuan Penalaran Matematis Siswa Menggunakan Model Pembelajaran Discovery Learning dan Model Pembelajaran Konvensional pada Tingkat SMP

This research aims: (1) students' mathematical reasoning ability using the Discovery Learning learning model is higher than students' mathematical reasoning ability using conventional learning models in class VII MTs Yaspi Labuhan Deli, (2) the process of solving answers made by students in solving problems in the Discovery Learning learning model and Conventional learning model. This type of research is quantitative research with Quasi-Experimental methods. This research was conducted at MTs Yaspi Labuhan Deli. The sampling technique in this study uses Purposive Sampling techniques, namely class VII-A as a class taught with a Discovery Learning learning model and class VII-B as a class taught with a conventional learning model. The data collection instrument used was in the form of observation sheets and student mathematical reasoning ability test sheets in the form of 3 essay questions. Data analysis in this study used t-Test with Independent Sample t-Test technique with the help of SPSS 20 program. The results of this study showed that the average score of classes taught using the discovery learning model was 78,01 and classes taught using conventional learning models were 72,22. For hypothesis testing carried out using a t-test, from the calculation results obtained a value of (2.664) > (1.66757) with a Sig.2-tailed level of 0.010 < 0.05, which means that rejected and was accepted, so that it is concluded that there is a significant difference in the average mathematical reasoning ability of students using the Discovery Learning learning model and the Conventional learning model. Based on the analysis of the process of completing students' answers to the mathematical reasoning ability test that get Discovery Learning learning is better than students who get conventional learning.

Meningkatkan Kemampuan Penalaran Matematis Siswa dengan Menggunakan Pendekatan Matematika Realistik (PMR) di Kelas VII

This research aims to improve students' mathematical reasoning abilities by using students' realistic mathematical approach to the material of plane figures, quadrilaterals, triangles. This type of research is classroom action research which consists of 2 cycles. The subjects of this research were students in class VII-8 of SMP Negeri 31 Medan, consisting of 32 students. The instruments used in this research were initial test sheets, mathematical reasoning ability test sheets and observation sheets. After the research was carried out for 2 cycles, the results of this research showed that there was an increase in student learning outcomes. This is indicated by the average value in cycle I being 78.78 to 87.28 in cycle II. Meanwhile, the percentage of classical completion increased from cycle I, namely 62.5% to 87.5% in cycle II, so it can be seen that this research has met the specified success indicators. Based on the results obtained, it can be concluded that: 1) the mathematical reasoning abilities of class VIII-1 students at SMPN 31 Medan increased after implementing a learning process with a realistic mathematical approach. 2) by applying a realistic mathematical approach to the learning process, students' mathematical reasoning abilities increase until they reach classical mastery.

ANALISIS KEMAMPUAN PENALARAN MATEMATIS DITINJAU DARI KEMANDIRIAN BELAJAR PADA MODEL PEMBELAJARAN STUDENT FACILITATOR AND EXPLAINING (SFE) DENGAN METODE FLIPPED LEARNING BERBANTUAN GOOGLE CLASSROOM

This study aims to analyze the quality of mathematics learning after applying the Student Facilitator Explaining Learning Model with the Google Classroom-Assisted Flipped Learning Method on mathematical reasoning abilities in terms of student learning independence. The data collection techniques used are test methods, documentation, questionnaires, and observations. The research instruments used are mathematical reasoning ability test questions, liket scales of learning independence, observation sheets and learning implementation. In this study, quantitative research methods with purposive sampling technique research samples and obtained VII A as an experimental class and VII B as a control class. With the results of research (1) quality Google Classroom-assisted SFE learning on students' mathematical reasoning abilities (2) There is a strong influence of student learning independence on mathematical reasoning abilities in the Student Facilitator and Explaining learning model Assisted by Google Classroom.

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.

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.

Connected Mathematics Project in Vocational School: A Teaching Quality that Improves student's Mathematical Reasoning and Resilience

Mathematical reasoning and resilience are essential skills that students need to master in the process of learning mathematics. Both of these skills can be cultivated through instructional models that stimulate students to construct their own knowledge by connecting learning to the real world. One instructional model characterized by these aspects is the Connected Mathematics Project (CMP). Consequently, the purpose of this study is to analyze the effectiveness of the CMP instructional model in enhancing mathematical reasoning and resilience abilities. This research employs a quantitative approach utilizing a quasi-experimental design, specifically the nonequivalent posttest-only control group design. The study was conducted in one vocational high school in Majalengka. Sample selection was carried out using the cluster random sampling technique, resulting in a total of 18 students in the experimental group and 18 students in the control group. The research instruments comprised a mathematical reasoning ability test consisting of three open-ended test items and a mathematical resilience questionnaire. The findings of this study indicate that: (1) students' mathematical reasoning abilities in the CMP instructional model are higher compared to those in conventional instruction; (2) the average percentage of students' resilience attitudes in the CMP instructional model is higher than those in conventional instruction; and (3) CMP instruction is effective in improving both mathematical reasoning and resilience abilities among vocational high school students.

Mathematical Reasoning Ability of Male and Female Students in Problem Base Learning

Considering the objectives and standards of the mathematics learning process, mathematical reasoning is an ability that students are expected to have. Nonetheless, the mathematical reasoning abilities of Indonesian students are still inadequate, and learning resources are still inadequate. The researcher then tries to solve it by combining the problem-based learning (PBL) paradigm with the use of GeoGebra in the classroom. The aim of this research is to identify and analyze the effect of GeoGebra and Gender-assisted problem-based learning (PBL) models on students' mathematical reasoning abilities. The study involved 35 students of XI State Senior High School at one of the schools in Mataram City. The research instrument used a mathematical reasoning ability test consisting of five essay questions. The study applied a one-group pretest-posttest design to observe the increase in students' mathematical reasoning abilities. Mathematical reasoning ability tests were given before and after the implementation of the GeoGebra-assisted PBL model. Data analysis used descriptive statistics, paired t-tests, and independent t-tests. The results of the analysis show that improving students' mathematical reasoning abilities can be done by applying the GeoGebra-assisted PBL model in the classroom. Observation of the psychological aspects of Gender showed significant results in students' mathematical reasoning abilities.

Analysis of students' mathematical reasoning ability in class IX in solving SPLDV problems

This study aims to determine the mathematical reasoning ability of students in one of the State Junior High Schools in Karawang Regency in solving two-variable system of linear equations. The method used is a descriptive method with a qualitative approach. The subjects in this study were 32 students of class IX E. The data collection technique was carried out by giving a mathematical reasoning ability test sheet in the form of a description of 4 questions. The data analysis technique used in this study is based on Miles and Huberman's data analysis technique which consists of data reduction, data presentation, and drawing conclusions. The results of this study indicate that the test scores of students' mathematical reasoning abilities are classified as very low, because there are only 2 students who achieve the KKM score. Then also indicated by the percentage value there are 2 students with a percentage of 6% in the high category, 23 students with a percentage of 72% in the medium category and 7 students with a percentage of 22% in the low category.

Improving Mathematical Reasoning Ability with an Integrated Scientific Approach to the Problem Solving Model for Class X Students of Bina Bersaudara Private High School Medan

This study aims to improve students' mathematical reasoning abilities through the Integrated Problem Solving learning model in a scientific approach with the help of geogebra for class X students of SMA Bina Bersaudara Medan. The subjects in this study were 47 students of X-MIA class at Bina Bersaudara Private High School Medan. From the initial ability test, it was obtained that the average score of students was 2.41 which was included in the low category and 42.55% who completed. After being given action in cycle I and given a mathematical reasoning ability test, it was obtained that the average score of 2.79 students was included in the moderate category (53.19%) who passed. In cycle I, the percentage of completeness of mathematical reasoning had not been achieved, so cycle II was carried out. After being given action in cycle II and given a mathematical reasoning ability test, an average score of 3.03 was obtained in the good category and 87.23% had completed. From cycle I to cycle II, an increase in the average score and the percentage of mathematical reasoning completeness were obtained.

Application of Project-Based Learning Learning Model Assisted by Geogebra Application to Improve Students' Mathematical Reasoning Ability at MTS Nurul Islam Indonesia Medan.

The purpose of this study was to determine the improvement of students' mathematical reasoning abilities by applying the Geogebra-assisted Project Based Learning learning model in class VIII-1 MTs Nurul Islam Indonesia Medan in the 2022/2023 academic year. The subjects in this study were students of class VIII-1 MTs Nurul Islam Indonesia Medan, amounting to 20 people. The data collection techniques used were teacher observation sheets, tests of mathematical reasoning abilities and documentation. This research is a classroom action research (CAR) which consists of 2 cycles, each cycle consists of 2 meetings. Before taking the action, an initial test is given and at the end of each cycle a student's mathematical reasoning ability test is given. The results of the students' mathematical problem reasoning ability test increased from the initial test, cycle I, and cycle II. In the classical initial test, 4 students (20%) completed and the average initial test ability was 56.29 with a very low level of ability category. In the classical first cycle test, 4 students (20%) completed and the average ability test was 57.22 with a very low level of ability category. Then in the second cycle test, classically, 17 students (85%) completed and the average ability was 89.44 with a high level of ability. Thus, it can be concluded that the application of the project based learning model assisted by the geogebra application to improve students' mathematical reasoning abilities at MTs Nurul Islam Indonesia Medan.

Developing an electronic module based on mathematical literacy to enhance students' mathematical reasoning

This study aims to produce an e-module based on mathematical literacy with a valid, effective, and feasible problem-based learning approach to improve students' mathematical reasoning in multivariable calculus material. This research used a development method with the stages: analysis, design, development, and evaluation. The research subjects involved fifth-semester students' mathematics education department. Small group trials with 17 students and large group trials with 35 students. The research instruments included validation sheets, student worksheets, questionnaires, and mathematical reasoning ability test questions. Data collection used the results of the validation as validity, test results as effectiveness, and the results of the questionnaire as feasibility. Data analysis was descriptively and qualitatively. The research produced an e-module based on mathematical literacy with a problem-based learning approach that is valid, very effective, and very feasible for improving students' mathematical reasoning abilities in multivariable calculus material. The developed e-module has the potential for significant differences and increases mathematical reasoning abilities. In addition, e-module can be used as an alternative solution to electronic teaching.

Pengaruh Kemandirian Belajar Terhadap Kemampuan Penalaran Matematis Materi Barisan Dan Deret Di Masa Pandemi COVID-19

This research aimed to describe students self-regulated learning and mathematical reasoning ability as well as to know the significant effect of self-regulated learning on the mathematical reasoning ability about sequence and series subject for students grade XI of SMAN 1 Keruak during the COVID-19 pandemic. The research method uses the corelasional method. The research instrument was a self-regulated learning questionnaire and mathematical reasoning ability test. Data analysis technique using simple linear regression analysis. The results of this study indicate that: (1) Descriptively from the data on the self-regulated learning of grade XI SMA Negeri 1 Keruak students are in the medium category that is 64,5%; (2) Descriptively from the data on the mathematical reasoning ability of grade XI SMA Negeri 1 Keruak students are in the medium category that is 54,8%; (3) There is a significant effect self-regulated learning on the mathematical reasoning ability about sequence and series subject for students grade XI of SMAN 1 Keruak during the COVID-19 pandemic. This is in accordance with the results of the regression aquation Y = 18,671+ 0,715 X and the results of the F test calculations which show that . The contribution of self-regulated learning to students mathematical reasoning ability is 40,8% and the remaining 59,2% is influenced by other factorsThis research aimed to describe students self-regulated learning and mathematical reasoning ability as well as to know the significant effect of self-regulated learning on the mathematical reasoning ability about sequence and series subject for students grade XI of SMAN 1 Keruak during the COVID-19 pandemic. The research method uses the corelasional method. The research instrument was a self-regulated learning questionnaire and mathematical reasoning ability test. Data analysis technique using simple linear regression analysis. The results of this study indicate that: (1) Descriptively from the data on the self-regulated learning of grade XI SMA Negeri 1 Keruak students are in the medium category that is 64,5%; (2) Descriptively from the data on the mathematical reasoning ability of grade XI SMA Negeri 1 Keruak students are in the medium category that is 54,8%; (3) There is a significant effect self-regulated learning on the mathematical reasoning ability about sequence and series subject for students grade XI of SMAN 1 Keruak during the COVID-19 pandemic. This is in accordance with the results of the regression aquation Y = 18,671+ 0,715 X and the results of the F test calculations which show that . The contribution of self-regulated learning to students mathematical reasoning ability is 40,8% and the remaining 59,2% is influenced by other factors

IMPROVING STUDENT LEARNING: MATHEMATICAL REASONING ABILITY THROUGH A REALISTIC MATHEMATIC EDUCATION

This research is motivated by the problem, not the maximum level of students' mathematical reasoning abilities. The purpose of this study was to determine the improvement of students' reasoning abilities with realistic mathematics education. This type of research is a quasi-experimental study to examine the improvement of students' mathematical reasoning abilities through a realistic mathematical education. The instrument used is a test item consisting of a test of mathematical reasoning ability and an attitude scale given to students. In this study, data were obtained to see the increase in students' reasoning abilities with realistic mathematics education in mathematics learning and to see student responses to learning using realistic mathematics education which were analyzed by processing test results data, namely testing homogeneity, testing hypotheses, and testing average differences. mean in both groups using t-test. The conclusion obtained in this study is that in the group of students whose learning using a realistic mathematics education the average score of students increased by 41.1%, while the increase in the average score of the group of students whose learning was conventional was only 17.3%. The number of students who scored above 60% in the group of students whose learning using a realistic mathematics education in the final test had reached 88.65%, while in the group of students whose learning was conventional it only reached 45.79%, meaning that the achievement of the group of students who studied with realistic mathematics education increases significantly when compared to the group of students who learn conventionally.

PENGARUH KEMAMPUAN PENALARAN MATEMATIS DAN SELF-EFFICACY TERHADAP HASIL BELAJAR MATEMATIKA SISWA

The objective of this study was to determine the effect of mathematical reasoning ability and self- efficacy on mathematics learning outcomes of Class XI MIPA students at SMA Negeri 1 Polewali. This study was ex-post facto research. In addition, samples were Class XI MIPA students of SMA Negeri 1 Polewali, totaling 92 people, selected using simple random sampling. Instruments employed to collect data were (1) the mathematical reasoning ability test, (2) the self-efficacy questionnaire, and (3) the mathematics learning outcomes test. Results showed that: (1) The mathematical reasoning ability of Class XI MIPA students at SMA Negeri 1 Polewali was in the moderate category; (2) The self-efficacy of Class XI MIPA students at SMA Negeri 1 Polewali was in the high category; (3) The mathematics learning outcomes of Class XI MIPA students at SMA Negeri 1 Polewali was in the moderate category; (4) The mathematical reasoning ability had a significant and positive effect on students' mathematics learning outcomes; (5) The self-efficacy had a significant and positive effect on students' mathematics learning outcomes; (6) Mathematical reasoning ability and self-efficacy simultaneously had a significant and positive effect on students' mathematics learning outcomes.

Reasoning Habits of Students through Realistic Mathematics Problems

A realistic math problem is one of the math problems whose solution requires a reasoning habit. Reasoning ability will increase if students often practice their reasoning habits. By solving realistic math problems, it is expected that students’ reasoning habits can be trained well. This study aims to describe the reasoning habits of class VIII students of MTs Sunan Kalijogo Kranding Kediri Regency, East Java, Indonesia in solving realistic math problems in terms of 4 stages of reasoning habits. This study uses a qualitative approach with a descriptive type of research. The data collection technique in this study used a mathematical reasoning ability test sheet and interviews that had been validated by four mathematics education experts and had met the valid category. The subjects in this study were students of class VIII F MTs Sunan Kalijogo Kranding, totaling 28 students, then three students with high, medium, and low categories of reasoning habits were taken to conduct interviews. The results of this study indicate that students with high-category reasoning habits can fulfill the four stages of reasoning habits. Students with reasoning habits in the medium category can fulfill two stages of reasoning habits. Students with low-category reasoning habits are not able to fulfill the four stages of reasoning habits.

The Analysis of Parents' Understanding in Understanding Balanced Nutrition in Children

This study aims to describe the understanding of parents in fulfilling balanced nutrition in group B children of TK Pertiwi XI Merauke. This research is descriptive qualitative research. The research was conducted in group B of TK Pertiwi XI Merauke. The research subjects were Parents, Teachers and Principals of TK Pertiwi XI Merauke. Data collection techniques used are tests, observations, and documentation. The instrument used was a mathematical reasoning ability test sheet and a mathematical connection ability test sheet as well as student and teacher activity observation sheets. The results showed that the fulfillment of children's nutrition activities can be seen from the type of children's food which includes 4 healthy 5 perfect, the child's nutritional needs are quite good consisting of carbohydrates, proteins, vitamins and minerals. This activity is very effective because it makes it easier for children to carry food and become independent. The Pertiwi XI Merauke Kindergarten teacher is quite creative in feeding children. Second, understanding of parents in fulfilling children's nutrition, of course, parents start from parental awareness to support optimal child development through nutrition fulfillment and nutrition fulfillment through child health checks in collaboration with the puskesmas. Teachers and parents must have obstacles to meet the different nutritional needs of children. Broadly speaking, parents already understand about the fulfillment of children's nutrition.