Low Mathematical Ability Research Articles

Analysis of Mathematical literacy through the lens of students' spatial geometry aptitude

Mathematical literacy assumes a significant role in assisting students in resolving everyday problems. The research design utilized in this study is a descriptive qualitative method, which aims to assess students' literacy skills by categorizing them as high, moderate, or low based on various mathematical literacy indicators on the spatial facets of geometry. Research results were analyzed and sorted into categories denoting high, moderate, and low mathematical abilities, with one research subject chosen from each category from a total of 32 students. The outcomes reveal that students with high mathematical test abilities could formulate and apply appropriate formulas, interpret and effectively communicate results, and draw accurate conclusions. Students with moderate abilities were only formulating and interpreting while needing more ability to effectively communicate, provide suitable conclusions, or evaluate the problems encountered. Lastly, the low ones needed help to solve the given problems and indicators.

Utilizing task with scaffolding: growth of students' mathematical understanding from layers of image having to property noticing

Introduction. Learning mathematics accompanied by understanding is an essential component of factual and procedural knowledge skills practical for students in solving real-life problems. Errors in solving systems of linear equations in two variables (SPLDV) among students can be caused by various factors, including students' lack of understanding of this concept, so this problem must be studied in depth by utilizing task with scaffolding. The research aimed to explore the potential of a task to foster mathematical understanding of students from the image-having layer to the property noticing layer in the learning context of a system of linear equations in two variables (SPLDV). Study participants and methods. The study involved three students in grade 8 at a junior high school in Indonesia. They were selected based on their mathematical ability (low, moderate, and high) based on their accumulated score reports in grade 7 and information from the teacher who taught them. This study employed a qualitative research approach, data collection was carried out by giving task to students, observing, and interviews them while doing the task, and data analysis began with transcription and organizing the results of interviews and student task, followed by identification and classification of difficulties faced by students. The results. The study showed that student with low mathematical ability has difficulty recognizing patterns or relationships between coefficients and variables in equations. Even with the help of scaffolding, the student still did not succeed in strengthening her understanding to complete the task given, so her understanding only shifted slightly from the image having layer and could not move completely to the property noticing layer. Next, a student with moderate mathematical ability had a sufficient understanding of the concept of variables and coefficients. However, she still needed additional help to complete task, especially in determining the value of variable. She was observed to be already at the property noticing layer of understanding because she had been able to identify the property of two linear equations in two variables that is equivalence and complete the task given. Lastly, the student with high mathematical ability could understand the relevant mathematical concepts well. She could complete the task assigned well despite folding back and scaffolding. Thus, this student's understanding reached the property noticing layer. Conclusions. The research showed differences in the growth of mathematical understanding from the image having layer to the property noticing layer among junior high school students with low, medium, and high mathematical ability. The student with lower math skills was only slightly shifted from the image having layer and could not be transferred completely to the property noticing layer. The student with moderate mathematical ability had reached the layer of understanding properties because she was able to identify equivalent properties of two linear equations in two variables and complete the given task. Lastly, the student with high mathematical skills has reached the layer of property noticing.

Self-efficacy of mathematics education students in solving geometry problems

The problem and the aim of the study. Teachers as key holders of student success must have selfefficacy so that the learning process goes well and gets optimal results. In other words, teachers who have good self-efficacy will be able to foster students' self-efficacy in working on math problems. Researchers propose to analyze the influence of mathematics education students' self-efficiency in solving geometric problems. Participants and Research methods. This research uses a combination of quantitative and qualitative methods, which aims to analyze the self-efficacy of mathematics education students in solving geometry problems. This research was conducted on 43 students STKIP YPUP Makassar, which consisted of 7 boys students and 36 girl students. Two instruments were used in this study, namely the Self-Efficacy Questionnaire (SEQ) and The Geometry Problem Solving Test (GPST). Forty-three students in the research sample. were asked to complete SEQ and GPST-1 with a time duration of 30 minutes and 80 minutes respectively, the implementation of which was directly supervised by the researcher and assisted by lecturers who taught geometry courses. The results were grouped into low, medium and high mathematics ability groups. Then one student from each group was selected to be the research subject. Results. Data analysis for the influence test obtained: (i) F count 56,863 with a significance of 0.001 < 0.05, meaning that students' self-efficacy and Geometry Values simultaneously have a significant influence on the geometry problem solving, and (ii) For SEQ, t count was 3,480. with a significance of 0.001 < 0.05, meaning that the self-efficacy partially has a significant influence on the geometry problem solving, while for GV, the t count is 8.775 with a significance of 0.001 < 0.05, meaning that Geometry Values partially has a significant influence on the geometry problem solving. LS can complete the understanding of aspects of the problem, MS is able to solve problems by understanding the problem and formulating a plan, and HS is able to solve problems on all indicators. Conclusion. Quantitatif: Self-efficacy and geometry values has a significant influence on students' geometry problem-solving. Qualitative: Each subject in each group has a different geometry problem solving process at each stage of problem solving.

PENINGKATAN KEMAMPUAN LITERASI MATEMATIS SISWA MELALUI PENDEKATAN REALISTIC MATHEMATICS EDUCATION (RME)

This study was motivated by the low mathematical literacy ability in mathematics learning. The purpose of this study was to determine the difference in the average improvement of students' mathematical literacy skills. The research method used quasi experimental with non-equivalent control group research design. The population in this study were all students at SMPN 51 Bandung grade VIII even semester of the 2022/2023 academic year. The samples in this study were class VIII.1 as the experimental class and class VIII.2 as the control class. In the experimental class learning using realistic mathematics education (RME) approach, while in the control class using deductive approach. The data collection technique used was a test. Based on the results of the analysis, it can be concluded that the average increase in students' mathematical literacy skills in learning flat-sided space building using the realistic mathematics education (RME) approach is in the high category has a significant difference compared to using the deductive approach in the medium category. It is recommended that research be carried out using more varied methods and media so that the results obtained are more optimal.

Ethnomathematics Digital Student Worksheet Using the Problem Based Learning Model to Improve Creative Mathematical Thinking for Elementary School Students

Low creative mathematical thinking ability is caused by the difficulty of learning mathematics on the division of decimal numbers. Therefore, this research aims to develop digital ethnomathematics worksheets using the PBL model to build students' creative mathematical thinking skills on division of decimal numbers in class V elementary school. This type of research is development research with the ADDIE development model. The subjects of this research were 7 material experts and 2 learning media experts. The test subjects in this research and development were 8 students. Data collection techniques include observation, interviews, and questionnaires. The data collection instrument is a questionnaire sheet. The techniques used to analyze the data are qualitative and quantitative descriptive analysis. The research results, namely the assessment results given by learning material experts, were 84.29% so they were declared very good. The assessment results by learning media experts were 90.00% so they were declared very good. The assessment results by students obtained an overall average score of 81.52%, so it was very good. It was concluded that digital ethnomathematics worksheets using the PBL model were suitable for learning. This research implies that using digital ethnomathematics worksheets using models can improve students' creative thinking.

PENGARUH MINAT BELAJAR TERHADAP KEMAMPUAN PEMAHAMAN MATEMATIS PESERTA DIDIK SEKOLAH DASAR

This research was motivated by the low mathematical understanding abilities of elementary school students. The formulation of the problem in this research is: 1) Is there a positive correlation between learning interest scores and the acquisition of mathematical understanding abilities? 2) Does students' interest in learning have a positive effect on the acquisition of mathematical understanding abilities? The aim of this research is to determine the influence of interest in learning on students' mathematical understanding abilities. The research method used in this research is a quantitative method. The research instruments used were a learning interest questionnaire and a mathematical understanding ability test. Based on the results of data analysis and hypothesis testing using SPSS version 29.0 software, there is a significant positive correlation between learning interest scores and mathematical understanding ability scores, with a correlation coefficient value of 0.498, which means that it is 0.248 or 24.8% of students' mathematical understanding ability. determined by interest in learning. So it can be concluded that interest in learning has a positive effect on the mathematical understanding ability of elementary school students.

The effects of gradual release of assistance instruction on students’ heuristics, confidence, and attitude toward independent problem-solving

The 'Gradual Release of Assistance (GRA) instruction' was implemented among pre-service teachers in a problem-solving course designed to reduce students' resistance to independent problem-solving. This approach aimed to enhance students' heuristic skills, confidence, and attitudes toward problem-solving. The GRA instruction encompassed activities with progressively decreasing levels of instructional support across three stages: the maximum assistance stage, the medium assistance stage, and the independent problem-solving stage. Utilizing an embedded multiple-case design and a simple time-series analysis of six individual cases, this research explored how pre-service teachers applied heuristics and their confidence and attitudes toward problem-solving. The study revealed improvements in heuristic application among cases with high and medium mathematical abilities, as well as increased confidence and positive attitudes toward problem-solving within this cohort. However, there were no notable improvements in using different heuristics among cases with low mathematical ability. The findings discussed the observed changes and consistencies, offering plausible explanations that underscore the significance of GRA instruction in alleviating students' reluctance to engage in independent problem-solving.

The Exploration of Mathematical Creative Thinking Ability in Solving Geometry Problems from the Perspective of Mathematical Ability

Creative thinking abilities are developed through divergent thinking in mathematics learning. This research aims to explore junior high school students' mathematical creative thinking abilities in solving geometric problems, specifically in terms of their overall mathematical abilities. This study is a qualitative descriptive research project. The subjects were 27 eighth-grade students from a state middle school in Loghia District. Data were collected using tests and interviews. The findings indicate that junior high school students with high mathematical abilities demonstrated creative thinking in solving geometric problems. In contrast, students with moderate and low mathematical abilities showed less creative thinking, particularly when answering questions about surface area and volume. Specifically, there were 3 students identified as creative, 4 students as less creative, and 20 students as not creative. Overall, most junior high school students were not creative in their approach to solving geometric problems. They struggled to demonstrate indicators of creative mathematical thinking, such as fluency, flexibility, and novelty.

The Effect of Implementing Learning Models Cycle 7e on Mathematical Problems-Solving Ability

This research was motivated by the low mathematical problem-solving abilities of students at Batanghari 15 State Junior High School, Jambi. This research aims to determine the effect of the Learning Cycle 7e learning model on students' mathematical problem abilities at Batanghari 15 State Junior High School. This research uses the quasi-experimental method, using a post-test-only control design. There are two groups, each of which is chosen randomly. The population of this research is all students in class VIII of Batanghari 15 State Junior High School for the 2023/2024 academic year, totalling 90 students and divided into four classes. In this research, the sample used was 50 students divided into two classes (experimental and control classes). The sample was determined using the Random Sampling technique. The data collection techniques used in this research were observation and mathematical problem-solving tests. This research indicates that the Learning Cycle 7e learning model is more effective in influencing problem-solving abilities than the direct learning model.

ANALYSIS OF MATHEMATICS PROBLEM-SOLVING ABILITY BASED ON SOLO TAXONOMY VIEWED FROM STUDENTS' MATHEMATICS ABILITY

Students' abilities in mathematics are very necessary in learning mathematics. One way to determine the level of students' ability to solve mathematical problems is with the SOLO taxonomy. This taxonomy consists of five levels: Prestructural, Unistructural, Multistructural, Relational, and Extended Abstract. This research is descriptive qualitative research. The research subjects were taken from 3 students in class X-4 of SMA Negeri 1 Jombang, and the criteria were that students had high, medium, and low mathematics abilities. The data collection methods used were tests, interviews, documentation, and supporting instruments in the form of problem-solving tests, interview guides, and documentation. Time triangulation was carried out to check the validity of the research data. The results of research on mathematical problem-solving abilities based on the SOLO taxonomy for subjects with high mathematical abilities and subjects with moderate mathematical abilities show that the subjects are at the Extended Abstract level, which means that the subjects can prove the truth regarding the results obtained so that the results obtained are relevant so that the subjects can make hypotheses in the form of formulas, patterns, or rules for solving problems. Students can generalize or apply mathematical concepts involved in the problem to similar situations or problems. Subjects with low mathematical ability indicate that the subject is at the Multistructural level, which means the subject can describe the steps in solving the problem, but there are still calculation errors.

ANALISIS KEMAMPUAN REPRESENTASI SISWA DALAM MENYELESAIKAN SOAL MATEMATIS BERBASIS ETNOMATEMATIKA

This research aims to analyze the representational abilities of junior high school students in solving ethnomathematics-based mathematical problems. The newest thing is to see the representation of junior high school students when working on ethnomathematics-based mathematical problems, namely the engklek game. The type of research carried out in this research is qualitative research. Data collection methods use tests and interviews. The subjects in this research were MTs 1 Putri Annuqayah students whose address is Jalan Komplek PP Annuqayah Guluk-guluk Sumenep class IX Amazing, 2 students with high mathematical abilities and 2 students with low mathematical abilities. The results of the research show that students with high mathematical abilities are able to fulfill all indicators of representational abilities, namely verbal, visual and symbolic representational abilities, while students with low mathematical abilities are only able to fulfill one indicator of representational abilities, namely symbolic representational abilities.

Profile of Mathematical Reasoning Ability of Students of SMK Ma'wataibin Pagelaran in Solving Problems of Arithmetic Rows and Rows

This study describes the profile of students' mathematical reasoning ability in solving arithmetic rows and series problems. Based on the results of observations and interviews with the mathematics teacher of class X SMK Ma'wataibin Pagelaran Malang, information was obtained that 83% of students in the class tended not to be able to conclude the answer. This descriptive research uses a qualitative approach. The sample of this research is 19 students of class X SMK Ma'wataibin Pagelaran. They then selected one each in the high, medium, and low-level categories. Then, interviews were conducted with each subject to explore deeper information. The test instrument used is 1 question that contains four indicators of mathematical reasoning ability. The test results obtained that students in the high mathematical reasoning ability category amounted to 7 students, with a percentage of 36.85%. Students in the moderate mathematical reasoning ability category amounted to 8 students, with a rate of 42.10%. Students in the low mathematical reasoning ability category amounted to 4 students, with a rate of 21.05%. Based on the results of the data analysis, it is shown that high-category students fulfill four indicators of reasoning ability according to their abilities. Medium-category students correctly fulfill three indicators of mathematical reasoning ability: writing conjectures, doing work, and providing reasons/evidence. Low-category students only fulfill one indicator of mathematical reasoning ability, namely writing conjectures.

Applying scaffolding technique in Problem Based Learning (PBL) model on students’ mathematics problem solving ability

This research aims to: (1) describe the factors that influence low mathematical problem solving abilities and the average increase in each indicator of mathematical problem solving abilities; (2) determine the effect of applying scaffolding techniques in the PBL model on mathematical problem solving abilities. The subjects of this research were class VIII students at SMPN 5 Kendari. Qualitative and quantitative methods were used in this research. The results of this research are: (1) Factors that influence students' low mathematical problem-solving abilities are the rare practice of questions related to problem solving and the learning model used by teachers is not suitable for learning mathematical problem solving. The average increase in each indicator of mathematical problem solving ability using the PBL model and DI model is: (a) understanding the problem 57.2 to 76.9 and 56.8 to 59.3; (b) solve questions 52.4 to 75.8 and 51.6 to 57.3; (c) answer questions 40.4 to 65.8 and 41.2 to 47.5; (2) students taught using the PBL model have higher scores than students taught using the DI model, so there is an influence of implementing the PBL model in improving the mathematical problem solving abilities of students at SMP 5 Kendari.

ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA SMA DALAM MENYELESAIKAN SOAL CERITA BERBASIS MASALAH

This research aims to determine students' mathematical representation abilities in solving problem-based story problems. The research method applied is a qualitative approach with a descriptive design. The population of this study was 24 students of class X MIPA 1 at SMA Negeri 1 Telukjambe Barat, and the sample taken was 3 students selected using a purposive sampling technique. The subject selection process is carried out to ensure that the sample reflects special characteristics or traits that are relevant to the research objectives. As a result, subjects were selected to represent categories of high, medium, and low mathematical representation ability. The data collection technique is in the form of a written test designed to measure students' mathematical representation abilities, with the test material focusing on sequences and series. The mathematical representation ability indicators measured involve visual, symbolic and verbal representations. The results show that students' ability to solve story problems is still moderate, with the potential to improve visual, symbolic and verbal skills; students in the high category can fulfill all representation indicators, while students in the low category require intervention to improve their understanding of mathematical word problems. The conclusion are the percentage of student achievement in visual and verbal aspects still being low, indicating the need for a learning approach that is more focused on developing visual representation abilities and verbally in the context of story problems to enrich students' experiences.

ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA SMK PADA MATERI PELUANG DITINJAU DARI KEMAMPUAN AWAL MATEMATIS

This study was conducted to analyze the problem-solving ability of grade XII students of SMKN 2 Karawang for the 2023/2024 Academic Year in terms of their initial mathematical abilities. This research uses a qualitatively descriptive approach. The subjects consisted of six students who were selected representatively to represent each level of initial mathematical ability. Data was collected based on problem-solving ability tests and initial mathematical ability tests. The collected data were analyzed to evaluate students' problem-solving abilities in three categories: high, medium, and low math skills. Students who have high initial mathematical abilities manage to precisely meet all indicators at each stage of problem solving. Students with moderate initial mathematical ability still do not meet the indicators at all stages of mathematical problem solving. Students with low initial mathematical ability understand all indicators but do not apply them to every solution.

Fostering critical thinking and self-efficacy in mathematics students

This research addresses the low critical mathematical thinking abilities of students when facing mathematical problem-solving challenges. The study aims to evaluate the impact of implementing various teaching approaches, including Contextual Teaching and Learning (CTL), Problem-Based Learning (PBL), and Direct Instruction (DI) models, on students' critical mathematical thinking abilities. Participants included 276 eighth-grade students from SMP La Tansa Mashiro 1, 2, and 3 in Lebak Banten during the academic year 2022/2023, divided into three classes. Samples were selected using simple random sampling, resulting in 94 students for CTL, 92 students for PBL, and 90 students for DI instructional models. Data collection involved self-efficacy questionnaires and critical mathematical thinking ability tests, analyzed using a two-way ANOVA. The findings suggest that implementing CTL and PBL models positively influences students' critical mathematical thinking abilities. Additionally, students' self-efficacy levels contribute significantly to their critical mathematical thinking abilities. Furthermore, a significant interaction was observed between the implementation of CTL, PBL, and DI models and students' efficacy levels, collectively influencing students' critical mathematical thinking abilities. These results emphasize the importance of employing active approaches, such as contextual, problem-based, and direct instructional methods, while also enhancing students' self-confidence to improve their critical mathematical thinking abilities. It is hoped that implementing these recommendations will enhance the effectiveness of mathematics learning and foster the development of students' critical thinking skills.

Kemampuan penalaran matematis konten PLSV ditinjau dari gaya belajar siswa di SMP

This study was motivated by the low mathematical reasoning ability of students. This happens because students cannot fulfill the indicators of mathematical reasoning. This study aims to describe students' mathematical reasoning ability on the material of linear equation one variable based on students' learning style. The method used in this research is descriptive qualitative. The subjects of this study were three students consisting of one visual learning style student, one audiotorial learning style student, and one kinesthetic learning style student of class VIII A SMP Negeri 1 Kemusu. Data collection techniques in this study used questionnaires, tests, and interviews. Questionnaires were used to categorize students' learning styles. While the test was conducted to determine the mathematical reasoning ability of students and interviews were conducted to strengthen the answers to the test questions that had been done. The results of this study indicate that visual learning style and kinesthetic learning style students have high mathematical reasoning and audiotorial learning style has low mathematical reasoning.

ANALYSIS OF JUNIOR HIGH SCHOOL STUDENT’S MATHEMATICAL LITERACY ABILITY IN RME-BASED MATHEMATICS LEARNING IN VIEW OF SELF-EFFICACY

Mathematical literacy is a skill that a person must master in the context of construction, application and interpretation to obtain solutions to problems encountered in everyday life and can be influenced by self-efficacy. This research has several objectives as follows: (1) Describe the self-efficacy abilities of students at SMP Negeri 2 Todanan. (2) Describe the mathematical literacy abilities of students at SMP Negeri 2 Todanan in RME-based learning. (3) Knowing students' mathematical literacy abilities in RME-based learning in terms of self-efficacy. This research applies a qualitative approach, namely an approach that aims to identify events that occur in research subjects, such as behavior, motivation, perceptions, activities, etc. This research used instruments in the form of a self-efficacy questionnaire, written tests related to material simplifying algebra based on Mathematical Realistic Education, and documentation. The results of this research state that students with high mathematical literacy skills tend to have high self-efficacy abilities. Students with moderate mathematical literacy skills tend to have moderate self-efficacy abilities. Students with low mathematical literacy abilities tend to have low self-efficacy abilities as well

Implementing of the Aptitude Treatment Interaction (ATI) Learning Model for Linear Equation Systems and Matrix Materials for Prospective Mathematics Education Teacher Students

ABSTRACT This study aims to see the learning outcomes of prospective mathematics education teacher students after applying the Aptitude Treatment Interaction (ATI) learning model for linear equation systems and matrix. This study uses a quantitative descriptive approach with data collection techniques are test and documentation. Subjects were grouped into three categories, namely subjects with high mathematical abulity, medium, and low mathematical ability. The results showed that the application of the Aptitude Treatment Interaction (ATI) learning model gave a good response to learning outcomes with an average of 78.10 in the good category. This can be seen from the student learning outcomes as a whole, both students with high mathematical ability, medium, and low mathematical ability. So, it can be concluded after applying the Aptitude Treatment Interaction (ATI) learning model that the overall intake of students when viewed from their mathematical abilities does not cause a wide gap between them.

Analisis Kemampuan Berpikir Kritis Matematis Siswa Berdasarkan Soal Berbasis TIMSS

This research aims to determine the analysis of students' mathematical critical thinking abilities based on questions based on TIMSS VIII SMP Negeri 29 Medan. This research is descriptive qualitative research. The subjects in this research were 33 students in class VIII-7 of SMP Negeri 29 Medan. The results of the research show that: (1) The average value of students' interpreting abilities is 76.01, which indicates that students' interpretation indicators are in the high category. (2) The average student score in analyzing the mathematical critical thinking ability test is 64.39, which shows that the students' analysis indicators are in the medium category. (3) The average score of students' abilities in the evaluation indicators on the mathematical critical thinking ability test is 41.48, which shows that the students' evaluation indicators are in the low category. So it is concluded that students with high abilities are only able to fulfill 2 critical thinking indicators, namely interpreting and analyzing indicators, 2 students with moderate mathematical abilities are only able to fulfill 2 critical thinking indicators and students with low mathematical abilities, there is 1 student only fulfilling 1 critical thinking indicator in One of the question numbers is the evaluating indicator in question number 3.