Learning Mathematical Problem Research Articles

Analysis of Problems in Learning Mathematics Based on Difficulties, Errors, and Misconceptions in the Material of Equations and Inequality Absolute Values of One Variable: Systematic Literature Review

Problems in learning mathematics, there will be difficulties, errors, and student misconceptions during learning. This study aims to analyze problems in learning mathematics based on difficulties, errors, and misconceptions about the material of linear equations and inequalities of one variable. The method used in this research is a Systematic Literature Review (SLR). The population of this research is all Of the 30 journal articles obtained, then adjusted to the inclusion criteria and the sample consists of 15 relevant research results on problems in learning mathematics based on difficulties, errors, and misconceptions on the material of linear equations and inequalities of one variable. Samples were taken from indexed journals published in the period 2011-2021. The research question is how to describe problems in learning mathematics based on difficulties, errors, and misconceptions on the material of linear equations and inequalities of one variable based on the year of school, level of study, research location, and sample size. The SLR method can find mathematics learning problems with ten years of study. The results showed that students’ errors and misconceptions dominated learning outcomes in the problem of learning equations and inequalities absolute value of one of the variables. Most of the research was conducted at the junior high school level outside Java with a sample size of 30 people or more. Based on the results of the review, the conclusion of the study proves that students often experience errors when studying equations and inequalities of the absolute value of one variable. Keywords: learning mathematics based on difficulties, errors, and misconceptions, systematic literature review, the material of equations and inequality absolute values of one variable

Israeli Math Teachers‘ View on Integration of STEM Modules in Mathematics Studies as a Motivator in 9th Grade

In recent years, one of the main problems in learning mathematics is the motivation of students. It is important to use the possibilities of modern technologies and the availability of a STEM environment for the development and implementation of learning resources that will increase students’ motivation to study science and mathematics in depth. This report presents the results of a study conducted to evaluate the incorporation of problem-based learning (PBL) learning modules in motivating students to learn mathematics. The study was conducted in Israel with 9th grade students and their teachers. As part of our research, we developed a unique intervention program, tested its effects on the defined target groups, and attempted to determine the impact of the program on subgroups of students. The impact of the program was tested using pre- and post-program questionnaires checking the ability feeling, the perception of relevance, and the motivation using the MMQ /Mathematics Motivation Questionnaire/ and in-depth interviews with students and teachers. One of the aspects of the study examined teachers’ attitudes toward integrating the modules of STEM into the 9th grade mathematics curriculum. About 50% of teachers in the study, see major benefits for students in integrating STEM modules into mathematics instruction, but only about 25% see benefits for the teachers themselves. 90% of the teachers in the study, see certain challenges in combining these units, both for the teachers themselves and for the students.

Validity, Practicality and Effectiveness of E-module Teaching Materials in the Learning Subject Applied Mathematics in Students

As the study of mathematics is quite vast, the lecturer requires open interactive materials so that students can better understand, especially in the process of solving problems in learning mathematics. This can be overcome by improving learning materials supporting students problem-solving abilities, one of which is using an e-module. This research aims to determine the validity, practicality, and effectiveness of e-modules for applied mathematics courses for students. This research used a 4D development model. The development procedure in this research consists of 4 stages namely define, design, develop, and disseminate. This research uses several collection instruments, namely validation sheets, lecturer response questionnaires, student response questionnaires, lecturers’ ability observation sheets in managing learning, student activity observation sheets, and student achievement test. The research results show that the validity of the e-module shows a score of 4.8 which is in the very valid category. The lecturer response questionnaire showed a score of 95% and the student response questionnaire showed a score of 94.5% so it was in the very positive category. The lecturer’s ability sheet in managing learning is at a score of 4.85, the student activity sheet shows a score of 80.2% and the learning achievement test is 93%. So, it can be concluded that the e-module is valid, practical, and effective.
 Keywords: valid, practical, effective

Penggunaan Media Puzzle Pecahan dalam Meningkatkan Hasil Belajar Siswa Kelas III pada Pelajaran Matematika

The purpose of this study is to identify the problems in learning Mathematics, simple fractions, educational learning media, and the learning outcomes of SDN 101873 Batang Kuis. This study uses qualitative research methods with observation techniques, literature analysis, and documentation when conducting learning activities in analyzing the use of fraction puzzles in the fraction material abilities at SDN 101873 Batang Kuis. The subjects of this study are third-grade students at SDN 101873 Batang Kuis. The results of implementing fraction puzzles in the fraction material skills at Batang Kuis show that mathematical puzzle skills have improved in the third grade. Students really enjoy playing fraction puzzles. Based on the results of the research and discussion, it can be concluded that the use of fraction puzzle media in fraction material provides a better impact. Students are able to first understand and analyze problems, able to design, plan, and find solutions, and then evaluate these solutions.

The Peer Tutor Model with Cognitive Conflict Strategies in Collaborative Learning Mathematical Problem Solving and Its Effect on Individual Achievement.

Cognitive conflict is a condition where students encounter new experiences that are not neatly arranged in their cognitive structure. The process of assimilation between old and new concepts in students' cognition. The assimilation process is more effective when done together with peer tutors. The purpose of this study was to see the effect of cognitive conflict on collaborative mathematical problem solving and its effect on individual learning success. Case study research methods, descriptive qualitative and quantitative. Learning is carried out to 28 semester II students collaboratively in solving integral problems. Pretest knowing the initial ability of mathematics, given the problem of integral functions of fractional powers. Given posttest independently. In the learning process students with low initial abilities and difficult to ask questions with peer tutors dare to ask information that has just been received with the help of students with moderate and high initial abilities. Cognitive conflict strategies with peer tutors are very useful. The impact of the experience of peer tutors, posttest results is very significant. This means that the posttest results increased significantly for the material of integral functions of fractional powers and motivation to learn for the better.

Penggunaan Media Pembelajaran dengan Benda Konkret untuk Meningkatkan Kemampuan Berhitung pada Peserta Didik Kelas II SDN 187

Learning is the interaction of students with educators, and learning resources in the learning environment, teachers, students and infrastructure are very important factors. In learning, teachers must create a comfortable learning atmosphere and innovative and fun learning models. However, there are still many problems in learning Mathematics which of course makes students' interest in learning low. This research aims to explore the numeracy skills of Class II students at SDN 187 Teratai. The approach used in this research is a quantitative approach with a Classroom Action Research (PTK) design. The research subjects were class II students at SDN 187 Teratai, totaling 13 students with 5 male students and 8 female students. Meanwhile, there is only 1 class II teacher. Data collection in research uses test and non-test instruments. The non-test consists of observation, documentation and interviews with teachers who teach in class II at SDN 187 Teratai. The data obtained was then analyzed using the stages of data reduction, data description and data verification. The research results showed that students' mathematics learning outcomes had increased by 25%, namely from 60% to 85%. This shows that using concrete object media can improve learning outcomes on entertainment themes for class II students at SD N 187/I Teratai.

KESAN PENGGUNAAN MNEMONIK “SIASAT” BERBANTUKAN JADUAL PENDARABAN INDEKS DAN PEMBELAJARAN KOPERATIF TERHADAP PENCAPAIAN MATEMATIK PELAJAR BERPENCAPAIAN RENDAH

Low-achieving students often experience problems in learning mathematics, especially in Index Multiplication, one of the topics that students need to master. Therefore, this study aims to determine the effects of using the SIASAT acronym mnemonic technique with the help of index multiplication table and 'Think-Pair-Share' cooperative learning on the achievement of low-achieving students in index multiplication. This quantitative study used a quasi experimental design with two groups which comprised of 40 students in the control group and another 40 students in the treatment group. The control group followed conventional learning with teacher centered approach while the treatment group was exposed to the use of mnemonic acronym SIASAT, indices multiplication table and Think-Pair-Share cooperative learning. Findings showed that the students in both groups improved their scores from the pre-test to the post-test. However, the achievement of students in the treatment group was greater than the control group. This study has shown the effectiveness of using mnemonic acronym SIASAT, indices multiplication table and Think-Pair-Share cooperative learning in improving students’ achievement in indices multiplication. Hence, teachers need to be creative and innovative as well as proactive in developing various approaches, techniques and teaching aids that can help low-achieving students in learning mathematics.

Problematika Peserta Didik dalam Operasi Hitung di Kelas 1 SD Negeri 80 Muara Bulian

Mathematics is widely used in various fields of life. However, in reality, activities for every individual cannot always run as they should, there will be some problems, even in learning mathematics. This situation is influenced by a person's comprehension of a lesson. Examples of problems in learning mathematics can be seen in the technique of adding derivatives, which is the result of dozens or tens or two-digit numbers (often called storing numbers), which results in incorrectly determining the results of further arithmetic operations. This research activity uses a qualitative approach. When referring to the problems studied, using qualitative methods makes it possible to gain an understanding of the reality on the ground. Based on the results of observations at SDN 80 Muara Bulian in class 1C in learning to count there were some students who wrote numbers from below which should have been from above so that they looked neat in writing and the prohibition on writing numbers starting from the early grades, so that later students could write numbers correctly. Correct. Learning withdrawal is an activity that is accompanied by symptoms that hinder achieving the desired goal, so efforts are needed to overcome these symptoms. Completion of learning is a disability or imperfection that causes a person to have difficulty carrying out learning activities so that the learning process becomes ineffective. Expansion of learning is a collection of various disorders that vary in manifestations, which are inability to listen, speak, read, write, think, and do arithmetic. Students with learning difficulties tend to have low interest and motivation in learning mathematics, this is shown by students who are not active during class learning, they tend not to want to ask questions when the teacher gives them the opportunity to ask questions. In addition, students are lazy to do exercises or assignments given by the teacher. Students who have difficulties are also often noisy in class and do not pay attention to the teacher's explanation.

Eksplorasi media Balok Dienes dalam mengakomodasi keberagaman siswa pada pembelajaran Matematika di sekolah dasar

This study aims to describe the use of Dienes beam media for third grade students who have problems in learning mathematics, namely students are less active and less enthusiastic in participating in the learning process. The results of this study are (1) Planning for learning mathematics using The Dienes block media (2) The process of using The Dienes block media in learning mathematics with the concept of addition and subtraction for class III students of SD Negeri Glagah. This research was conducted at SD Negeri Glagah Yogyakarta starting on January 20 2023 until February 28 2023. The method used in this research is a qualitative descriptive method. The primary data were in the form of interviews and observations obtained from the results of interviews with teachers and third grade students, while the secondary data in this study were the results of student research documentation. Researchers in analyzing data used an interactive model from Miles and Huberman which was divided into several stages, namely data collection, data reduction, data display, and conclusion drawing/verification. Checking the validity of the researcher's data uses triangulation and increases persistence.

The Development of Quizziz-Assisted Sequence and Series Module to Increase Mathematical Understanding Ability of Senior High School Students

Mathematical understanding is a very important aspect and the basis for students' mathematical abilities, but the fact is that mathematical understanding is still difficult for students to do. Based on the results of initial observations found problems in learning mathematics, such as students still having difficulty in (a) applying mathematical concepts, (b) students do not play an active role in the learning process, (c) teachers still use the lecture method. As a result, students do not understand the subject matter well. So from this the purpose of this study was to develop a quizziz-assisted sequence and series module to measure students' mathematical understanding abilities. The research subjects were class XII students. The research method uses R& D level 1 is research and development where this research will develop and validate products without product deployment. The indicators of mathematical understanding used are: (1) identifying the concepts studied, (2) predicting a problem using the sequence concept, (3) developing the concepts studied, (4) proving understanding of a concept, (5) applying the formula to cases simple. The instruments used were tests and non-tests. The test instrument is in the form of questions and non-tests in the form of a student attitude scale questionnaire. From the results of data processing, it was obtained from ICT experts getting a score of 85.12% which was categorized as very valid, from material experts getting a score of 79.5% which was categorized as valid, the practical category got a score of 76% which was categorized as practical and the effective category averaged 68.5% which in the good category.

The Problems of Students' mathematics Learning at Grade 5 SDN 14 Koto Anau in the post Pandemic Era

The aims of this study were (1) to find out the results of interviews with teachers and students regarding problems in learning mathematics, (2) to find out the results of learning observations related to understanding mathematical concepts. The location of this research is at SDN 14 Koto Anau, Lembang Jaya District, Solok Regency, West Sumatra Indonesia. The research was conducted in the even semester of January 2022. The subjects of this study were class teachers and students in class V SDN 14 Koto Anau, a total of 17 students. Data collection techniques using interviews with teachers and students, and observation. After getting the data, it is done with naturalistic qualitative analysis techniques. Based on the results of interviews and observations it is known that there are many problems and students' understanding of concepts is still low

Hubungan Motivasi Belajar dengan Adversity ‎Quotient (AQ) Siswa pada Mata Pelajaran ‎Matematika Kelas X SMKN 1 Ampek Angkek Tahun ‎Pelajaran 2021/ 2022‎

This research is motivated by the large number of students who have an adversity quotient in mathematics which tends to be less good. It can be seen from students who are less enthusiastic and less enthusiastic in learning and students who show a pessimistic attitude when they encounter difficulties or problems in learning mathematics and have not been able to find solutions how to solve these problems. This is thought to be caused by poor student motivation. Based on these conditions, the formulation of the problem in this research is whether there is a relationship between learning motivation and students' adversity quotient (AQ) in class X mathematics at SMKN 1 Ampek Angkek for the 2021/2022 academic year. The hypothesis in this study is "There is a significant relationship between learning motivation and students' adversity quotient (AQ) in class X mathematics at SMKN 1 Ampek ‎Angkek for the 2021/2022 academic year."‎ This type of research is correlational research with quantitative methods. The population in this study were all class X students of SMKN 1 Ampek Angkek, totaling 277 students. And the sample in this study were 34 students taken randomly. The research instruments contained a learning motivation questionnaire and an Adversity Quotient questionnaire. The results of this study obtained Z0 = 3.412 and Z_(a/2) = 1.96, at the real level α = 0.05. This shows that Z0 ≥ Z_(a/2) so that it can be concluded that H0 is rejected and H1 is accepted, which means that there is a significant relationship between learning motivation and students' adversity quotient (AQ) in mathematics class X at SMKN 1 Ampek Angkek in the 2021 academic year. /2022‎.

HOW DO STUDENTS' DECISION-MAKING ABILITY IN SOLVING OPEN-ENDED PROBLEMS?

An open-ended problem in learning mathematics is a problem with more than one answer or method of solving. In solving open-ended problems in learning mathematics, one of the abilities students must use is decision-making ability. Each student has a variety of capacities, so this study aims to determine students' decision-making abilities in solving open-ended problems in learning mathematics. The type of research used is descriptive qualitative research. The subjects of this study were four students with different numbers of correct answers in working on open-ended problems. Data collection was carried out using tests and interviews. The results showed that (1) the decision-making ability of the subject who answers correctly for both problems is complete because they fulfill all indicators, the subject can identify goals, make decisions, evaluate the results of determination, and present and remember between problems with things known to the problem and related to decisions that have been taken correctly; (2) decision-making ability for subjects with wrong answers on one number or two numbers is incomplete because they only fulfilled two indicators, the subject can identify goals, make decisions, is less able to evaluate decision results and present and remember between problems with things known to the problem, and related to decisions that have been taken with correct. Mathematics teachers should often reinforce students to practice operating integers because it is a prerequisite for learning mathematics at the middle and high school levels.

PROBLEM SOLVING ABILITY OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING HOTS QUESTIONS

In the 21st Century Learning, students are encouraged to be more creative in solving mathematical problems that lead to the High Order Thinking Skill (HOTS) level of thinking. The ability to solve problems is the ability to reason, understand problems, plan strategies, carry out procedures in solving problems, and draw conclusions. This study aimed to analyze students' mathematical problem-solving skills in solving HOTS questions. It is qualitative research with a descriptive method. The subjects of this research were 15 7th grade class students of Public Junior High School 39 Pekanbaru. The data collection method used was a test technique using a test instrument consisting of 2 HOTS questions of mathematical problem-solving ability and using the method of independent interviews to research subjects. The data collected was then analyzed through 3 stages: data reduction, data presentation, and conclusion. The results showed that 3 students had problem-solving skills, 8 had moderate problem-solving skills, and 4 had low problem-solving skills. Based on student self-tests and interviews, the seventh-grade Public Junior High School 39 Pekanbaru students average have moderate mathematical problem-solving abilities. Based on the results of the study it can be concluded that students can answer HOTS questions quite well in arithmetic material. each category of students has abilities and deficiencies in answering HOTS questions. From the results of this study, the teacher's role is very important to familiarize students with solving HOTS questions and creating learning innovations. By familiarizing students with solving problems in learning mathematics, students will not only be able to solve the questions given but also solve problems in everyday life

Problems Of Mathematics Learning On The Alef Platform In Class VII MTs Negeri 4 Kutai Kartanegara

This study aims to find out the problems of teachers, students, and teacher efforts in facing problems in the implementation of mathematics learning on the Alef Platform in class VII MTs Negeri 4 Kutai Kartanegara. This is based on problems in learning mathematics with the use of the Alef Platform. Alef Platform is a learning medium specifically designed to engage students by providing a learning experience by watching videos, playing, and practicing questions. This research is qualitative study with Miles and Huberman model. Data were collected uses observation, interviews, and documentation and data validated by uses triangulation techniques. Based on the results obtained, (1)Problems experienced by teachers were the implementation of the learning process in the preliminary activities were still not smooth, lack of creativity of teachers when using the media, teachers cannot reduce the learning features, lack of objective learning outcomes, and the lack of an objective assessment on the Alef Platform. (2)The Problems experienced by students were the number of students who forgot the password, the learning video looked very monotonous, the game features were not in accordance with the ability of students, the questions presented on the Alef Platform were so difficult to lead students to a lazy condition of doing the questions so that student’s learning motivation decreased, the student did not see the existing explanations if the student answered the wrong practical feature, and students cannot ask if having difficulty to the Alef Platform. (3)Efforts made by teachers to overcome the problem that the teacher always gave directions to the writing forgot password, how to download documents, and the teacher re-explained the material that had not been understood by the students.

PENERAPAN MODEL TWO STAY TWO STRAY (TSTS) UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA SEKOLAH DASAR PADA MATERI SIFAT- SIFAT BANGUN RUANG

Mathematics is an educational content that has a high impact and can be applied in everyday life. Learning takes place at all levels of education, from elementary school to university. Problems in learning mathematics, especially in elementary schools, are caused by passive student activity and low learning outcomes. The purpose of this study is to examine solving problems in learning mathematics using innovative learning implementations. The process of data analysis with the process of reviewing the literature of several journals concludes that learning mathematics using the Two Stay Two Stray (TSTS) cooperative model can improve student learning outcomes and student activity. The Two Stay Two Stray (TSTS) learning model students are able to overcome learning problems that are individualistic and students lack self-confidence in conveying the information they know, so that afterwards students are able to be more confident and able to help other students get rid of fear of mathematics and lead to increased achievement of results student learning is better and more effective compared to other learning models, especially by maximizing the three aspects of learning outcomes, namely cognitive, affective and psychomotor aspects.

UPAYA MENINGKATKAN PRESTASI BELAJAR MATEMATIKA MATERI PENYAJIAN DATA MELALUI MODEL DISCOVERY LEARNING PADA SISWA KELAS VII C SISWA SMP NEGERI 2 MUNTILAN

One of the problems in learning mathematics is the weak ability of students to apply knowledge to solve problems in real life, especially in solving the problem of presenting Data, collecting data, and presenting data. To overcome this problem, a class action research (PTK) was conducted using Discovery Learning model. The purpose of this study was to improve the learning outcomes of VII C grade students of SMP Negeri 2 Muntilan school year 2018/2019 using the Discovery Learning Learning model. The research subjects were students totaling 32 people, the source of research data obtained from qualitative data in the form of data observation activities of teachers and students and quantitative data in the form of student learning outcomes test data. The results of the first cycle of research obtained by students who completed individually as many as 24 students with classical completeness of 75 %. While the results of the second cycle of research has increased with the number of students who completed individually as many as 28 students with a percentage of completeness of 87.5 %. Based on the results of the study, learning using the Discovery Learning Learning model can improve the learning outcomes of VII C grade students of SMP Negeri 2 Muntilan school year 2018/2019.

Penerapan Metode Polya dalam Pembelajaran Matematika untuk Meningkatkan Kemampuan Siswa dalam Menyelesaikan Masalah Matematika pada Materi Pecahan Kelas V di SDN Antirogo 01 Jember

Mathematics can develop students' abilities in finding, analyzing, and solving problems. Problem solving in mathematics is usually found by students in everyday life. Problems related to fraction material are often encountered by students in buying and selling activities. Fractions are a difficult material for elementary school students, especially to solve problems associated with fractional material. Ways or methods that students can use in solving problems in learning mathematics can use the Polya method. The Polya method is one method that students can use to solve problems, but there are still many students who do not know how to solve problems so that students' ability to solve problems can be said to be low. This study aims to improve students' ability to solve mathematical problems in fractions using the Polya method. The method used in this study is the classroom research method (CAR) which consists of 2 cycles with 4 stages in each cycle. The stages of each cycle are planning, implementation, observation, and reflection. Data were collected by giving a test to the research sample at the end of each cycle. The research is said to be successful if the average value of the class has increased. The results showed that the average grade of the students in the first cycle was 37 and in the second cycle it was 65.7. Based on the research results that have been described, this study has achieved its goal, namely the Polya method can improve students' ability to solve math problems in class V fractions at SDN Antirogo 01 Jember.

Influence of Teacher-Student Relationships on Mathematics Problem-Solving

Literatures revealed that the cognitive and affective components are the factors affecting problem solving. In this article we identified factors considered by the students in learning mathematical problem solving. Using a descriptive phenomenological research we explored the lived experiences of forty-five (45) student’s in solving a mathematics problem. Following the Colaizzi method for data analysis, four themes emerged: emotions and self- efficacy as affective factors, and group learning activity and teacher- student relationship as social factors. Sixty items from these four themes were further explored in using an Exploratory Factor Analysis (EFA) for a new set of 200 students. These four-factor structures of the student’s experiences in mathematics problem solving explained 66% of the variance in the pattern of relationships among the items. All four-factor structures had high reliabilities (all at or above Cronbach’s α > .904). The study exemplified that teacher- student interaction relationship during learning activities, which is a social factor, provides the highest correlated factor that influences the mathematical performance of the students.

Analisis Kecemasan Siswa pada Pembelajaran Matematika Berbasis Problem Based Learningdi SMP Negeri 3 Kota Jambi

Mathematics anxiety is a feeling of pressure and nervousness that interferes with manipulating numbers and solving mathematical problems, both in everyday life and in the learning process. This study aims to describe the level of student anxiety in learning mathematics based on problem based learning at SMP Negeri 3 Jambi City. The subjects of this study were students of class VIII SMP Negeri 3 Jambi City, consisting of 4 classes. Each class is taken by 10 student representatives based on the 5 highest knowledge and 5 lowest knowledge. The data collection technique is by distributing questionnaires to all students who have been selected as many as 40 students. Researchers distributed questionnaires to get results/data on anxiety levels of SMP Negeri 3 Jambi City students. The researcher also conducted interviews with 8 student representatives to strengthen the research data. The results of this study indicate that the highest aspect of the student anxiety variable is the "fear" aspect which has an average of 1.54 (medium). Overall, the results of the anxiety level of students in SMP Negeri 3 Jambi City class VIII belong to the category of mild anxiety level with an average value percentage of 1.25 indicating that the level of anxiety of students in learning mathematics is mild anxiety. Anxiety is one of the reasons why proper interpersonal relationships are so important in understanding mathematics. This is because anxiety itself can increase, is subjective, and can make it difficult for students to understand. Students are still carried away by their unpleasant past experiences related to mathematics. Usually students who are more anxious will try harder, but their understanding will deteriorate further, making them even more anxious. Therefore, students will learn partially, this will form students' interpersonal experiences. Students who feel less anxious in learning mathematics because the student knows that he is able to solve problems in learning mathematics, then he will be able to use his anxiety in solving the problem.