scholarly journals The Role of Mathematical Connections in Mathematical Problem Solving

2020 ◽  
Vol 14 (2) ◽  
pp. 129-144
Author(s):  
Didik Sugeng Pambudi ◽  
I Ketut Budayasa ◽  
Agung Lukito
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Research Result ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Mathematical Connections ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
Mathematical Connection

Problem-solving and mathematical connections are two important things in learning mathematics, namely as the goal of learning mathematics. However, it is unfortunate that the ability of students 'mathematical connections is very low so that it impacts on students' failure in solving mathematical problems. The writing of this paper aims to discuss the understanding of mathematical problems, mathematical problem solving, mathematical connections, and how they play a role in solving mathematical problems. The method used in writing this paper is a method of studying literature, which is reinforced by the example of a qualitative research result. The research subjects consisted of two eighth grade students of junior high school in Jember East Java, Indonesia, in 2017/2018. The research data consisted of written test results solving the mathematical problem as well as interview results. Data analysis uses descriptive qualitative analysis. From the results of literature studies and research results provide a conclusion that mathematical connections play an important role, namely as a tool for students to use in solving mathematical problems where students who have good mathematical connection skills succeed in solving mathematical problems well, while poor mathematical connection skills cause students to fail in solving mathematical problems.

scholarly journals ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA BANGUN DATAR SEGIEMPAT DITINJAU DARI KEMAMPUAN PEMECAHAN MASALAH MATEMATIK UNTUK SISWA KELAS VII

2018 ◽  
Vol 1 (6) ◽  
pp. 1135
Author(s):  
Anggraeni Ratna Sari ◽  
Usman Aripin
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Mathematical Problems ◽  
Level Of Difficulty ◽  
Apply Problem ◽  
Systematic Solution ◽  
Math Problems

This research seeks to explore and reveal students' mathematical problem solving abilities by analyzing student answers. The research subjects were seventh grade students taken from a public junior high school in Purwakarta Regency. The results of the study show that students' mathematical problem solving ability is still very weak and far to be complete even though the level of difficulty of the instrument is in the medium category. In general, the ability of these study subjects in mathematical problem solving is still below 50%. It is time for teachers to apply problem-based learning, in addition to conventional learning models, to provide opportunities and experiences for students to see and experience mathematical problem solving in the classroom. This qualitative study exposes students' responses in dealing with story questions in a rectangular building material. In addition the students are given the questions shown to reveal whether the students are using a systematic solution or can answer directly without a sequence, judging by the ability to solve mathematical problems. There were 6 heterogeneous students who were the subjects in this study. Based on the analysis that has been done, the results obtained are (1) students answer the problem is not systematic, (2) lack of understanding of the sequence of problem solving, (3) students are too hasty in doing math problems.

scholarly journals Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP pada Materi SPLDV Ditinjau dari Kemampuan Awal Matematika

2019 ◽  
Vol 3 (2) ◽  
pp. 207
Author(s):  
Irma Purnamasari ◽  
Wahyu Setiawan
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Problem ◽  
Real Life ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
School Students

Kemampuan pemecahan masalah matematis adalah salah satu kemampuan yang harus dikuasai oleh siswa agar mampu secara matematis memecahkan masalah sering dijumpai di kehidupan nyata. Indikator kemampuan pemecahan masalah matematis meliputi mampu memahami masalah, merencanakan strategi pemecahan masalah, melakukan strategi atau prosedur pemecahan masalah, dan memeriksa kebenaran jawaban atau hasil yang diperoleh. Penelitian ini bertujuan untuk mengetahui kemampuan pemecahan masalah matematis siswa SMP ditinjau dari Kemampuan Awal Matematik (KAM). Metode yang digunakan pada penelitian ini adalah deksriptif. Subjek penelitian yaitu siswa kelas VIII F SMP Angkasa Lanud Sulaiman yang berjumlah 30 orang. Instrumen yang digunakan dalam penelitian berupa tes soal uraian kemampuan pemecahan masalah matematis sebanyak 5 soal. Analisis data yang digunakan dalam penelitian ini adalah dengan mengelompokkan siswa berdasarkan hasil Penilaian Tengah Semester (PTS) sebagai kemampuan awal siswa. Siswa dibagi menjadi tiga kelompok, yaitu kelompok KAM atas, kelompok KAM menengah dan kelompok KAM bawah. Hasil penelitian menunjukkan bahwa siswa kesulitan mengerjakan soal nomor 5 dan baik siswa kelompok KAM atas, KAM menengah maupun KAM bawah, siswa kurang menguasai indikator ke-4 yaitu memeriksa kebenaran jawaban. Kata kunci: kemampuan awal matematika, kemampuan pemecahan masalah matematis.   ABSTRACT Mathematical problem solving ability is one of the abilities that must be mastered by students in order to be able to mathematically solve problems often found in real life. Indicators of mathematical problem solving capabilities include being able to understand problems, plan problem solving strategies, perform strategies or procedures for problem solving, and check the truth of answers or results obtained. This study aims to determine the mathematical problem solving abilities of junior high school students in terms of Early Mathematical Ability (KAM). The method used in this study is descriptive. The research subjects were class VIII F Space Junior High School Sulaiman Air Base which numbered 30 people. The instrument used in the study was a test of the questions about the mathematical problem solving abilities of 5 questions. Analysis of the data used in this study is to classify students based on the results of the Middle Semester Assessment (PTS) as students' initial abilities. Students are divided into three groups, namely the upper KAM group, the middle KAM group and the lower KAM group. The results showed that students had difficulty working on the number 5 questions and both the upper KAM group students, the middle KAM and the lower KAM students, students did not master the 4th indicator, namely checking the correctness of the answers. Keywords: initial mathematical abilities, mathematical problem solving abilities.

scholarly journals PERILAKU PEMECAHAN MASALAH SISWA DALAM MENYELESAIKAN MASALAH MATEMATIKA KONTEKSTUAL DITINJAU DARI KECEMASAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 145-154
Author(s):  
Olivia Khufyatul Adhimah ◽  
Rooselyna Ekawati ◽  
Dini Kinati Fardah
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematics Anxiety ◽  
Mathematical Problem ◽  
Direct Translation ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
The Difference ◽  
Final Answer ◽  
Problem Solving Behavior

Problem solving behavior make further information about behavior of students to understand contextual mathematical problems and their solutions. The different behaviors shown by students to each other shows how to steps, abilities, and understanding of students in solving contextual mathematical problems. It is important for students and teachers to know the problem solving behaviors in order to improve understanding and ability to solve contextual mathematical problems. Mathematics anxiety can influence students in soling mathematical problems. Given the importance of students problem solving behavior in learning mathematics, teachers need to know students problem solving behavior in solving contextual mathematical problems based on mathematics anxiety. This study investigate problem solving behavior of students with low and high mathematical anxiety in solving contextual mathematical problems. Subjects in this study were four students of Junior High School, consists each of the two students from each mathematics anxiety group, low and high. Four students were given contextual mathematical problem solving test to investigate about problem solving behavior. Classification of students mathematics anxiety levels is determined through the mathematics anxiety questionnaire score of each student. The results of this research showed that students problem solving behavior with high mathematics anxiety were categorized in Direct Translation Approach-proficient (DTA-p) dan Direct Translation Approach-not proficient (DTA-np) category. Students behavior with low mathematics anxiety were categorized in the category of Meaning Based Approach-justification (MBA-j). The difference in problem solving behavior from two categories of mathematics anxiety is in re-reading the problem, linking concepts, deciding strategies, using context in calculations and final answer, and providing an explanation at each step of the solution. Students problem solving behavior with low mathematics anxiety was better than students problem solving behavior with high mathematics anxiety.

scholarly journals Pemecahan Masalah Matematika Siswa Al-Fityan School Gowa ditinjau dari Gender

2020 ◽  
Vol 12 (2) ◽  
pp. 38-48
Author(s):  
Andi Aras ◽  
Sartika Arifin ◽  
Fawziah Zahrawati B
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Female Students ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Learning Mathematics ◽  
Ability Tests ◽  
Level Of Thinking ◽  
Academic Year

Problem solving is the highest level of thinking which students need in learning mathematics. This study aims to describe students' mathematical problem solving abilities in terms of gender’s perspective. The research subjects consisted of four students of Class X at SMAIT Al-Fityan School Gowa in the 2018/2019 academic year, consisting of two male students and two female students. The research phase begins with the selection of research subjects determined based on equivalent problem solving ability tests. After selecting the subject, the next phase is giving assignment problem solving, quadratic equations, and interviews. The validity of the data is done by using triangulation of sources by twice interviews, giving tests to students who are different but have the same ability and the same sex in order to produce consistent data. The results showed that female students had better mathematical problem-solving abilities compared to male students based on Polya Steps: 1) understanding the problem, 2) planning the solution, 3) solving the problem, and 4) looking back at the answers.

scholarly journals HUBUNGAN MOTIVASI BELAJAR TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIK SISWA SMP PADA MATERI SEGITIGA SEGIEMPAT

2019 ◽  
Vol 2 (6) ◽  
pp. 415
Author(s):  
Usep Rahayu Mulyana ◽  
Aflich Yusnita Fitrianna
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Significance Test ◽  
Learning Motivation ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
School Students ◽  
The Relationship

The study was conducted to analyze the relationship of learning motivation to the mathematical problem solving ability of 7th grade students. The research method is correlation. The research subjects consisted of 32 7th grade students at SMPN 3 Purwakarta. Test test instruments and non-test instruments are the methods used in data collection. The test given was in the form of 5 problem solving abilities in the form of essays and non-learning motivation scale with Likert scale. The normality test, the correlation test, the determinant coefficient, the significance test to see the correlation between the variables of learning motivation and the variables of mathematical problem solving ability are the steps taken. The conclusion from the results of the study there are 12.18% the relationship between learning motivation and problem solving abilities of junior high school students.

scholarly journals MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA MELALUI MODEL PROBLEM-BASED LEARNING PADA MATERI BILANGAN PECAHAN

2021 ◽  
Vol 8 (1) ◽  
pp. 23-28
Author(s):  
Khardiyawan A. Y. Pauweni ◽  
Moh. Efendi B. Iskandar
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Problem Based Learning ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Learning Material ◽  
Ability Tests ◽  
Mathematical Problems ◽  
The Subject

This study aims to improve students’ mathematical problem-solving ability through the Problem-Based Learning Model in Fractions learning material at grade VII of Junior High School SMP Negeri 10 Gorontalo. This classroom action research (CAR) involved 25 students as the subject and were conducted collaboratively between the researcher and teachers. This research was carried out in two cycles, and the first and second cycle consisted of three meetings, respectively. The instruments applied were an observation sheet of the teacher’s ability to manage the Problem-Based Learning Model, the observation sheet of students’ activity using the model above, and the ability tests to solve mathematical problems in the Fraction material. Further, the data were collected from observation and written tests. The results show an enhancement of the teacher’s ability in managing the Problem-Based Learning model and students’ activity using this model and the outcomes of mathematical problem-solving skill in the fractions learning material from cycle I to cycle II. Therefore, this finding indicates that the Problem-Based Learning model can be accepted as an alternative in learning Fractions at the research site.

scholarly journals Think Pair Share sebagai Model Pembelajaran Kooperatif untuk Peningkatan Kemampuan Pemecahan Masalah Matematis

2020 ◽  
Vol 9 (1) ◽  
pp. 35-46
Author(s):  
Syintia Siti Latifah ◽  
Irena Puji Luritawaty
Keyword(s):  
Problem Solving ◽  
Cooperative Learning ◽  
Junior High School ◽  
Mathematical Problem ◽  
Sampling Technique ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Purposive Sampling ◽  
Quasi Experimental ◽  
Mathematical Problems

AbstrakDiperlukan upaya untuk meningkatkan pencapaian kemampuan pemecahan masalah matematis yang masih rendah, misalnya menggunakan model pembelajaran tipe Think Pair Share. Tujuan penelitian yaitu mengetahui peningkatan dan seberapa jauh kemampuan pemecahan masalah matematis siswa dapat meningkat dengan model pembelajaran Think Pair Share. Metode penelitian yaitu kuasi eksperimen, dengan populasi siswa kelas VIII di satu SMP di Kabupaten Garut. Sampel yaitu kelas VIII-A sejumlah 33 siswa, dipilih berdasarkan teknik purposive sampling. Instrumen berupa soal tes uraian kemampuan pemecahan masalah diujikan sebelum dan sesudah pembelajaran. Hasil analisis data pada kelas Think Pair Share menunjukkan peningkatan kemampuan pemecahan masalah matematis berkategori sedang. Pembelajaran kooperatif tipe Think Pair Share terbukti cukup efektif meningkatkan kemampuan pemecahan masalah matematis siswa. Think Pair Share Type Cooperative Learning Model to improve Mathematical Problem Solving Ability AbstractEfforts are needed to improve the achievement of mathematical problem-solving abilities that are still low, for example using the Think Pair Share type of learning model. The purpose of this research is to find out how much improvement and how much the students' mathematical problem-solving ability increases through the Think Pair Share learning model. The research method is quasi-experimental, with a population of eighth-grade students in one junior high school in Garut Regency. The sample is class VIII-A with 33 students, selected based on purposive sampling technique. Instruments in the form of test questions describing problem-solving abilities were tested before and after learning. The results of data analysis in the Think Pair Share class showed an increase in the ability to solve mathematical problems in the medium category. Cooperative learning Think Pair Share type proved effective enough to improve students' mathematical problem-solving abilities.

scholarly journals ANALISIS KEMAMPUAN CALON GURU MATEMATIKA DALAM MEMBUAT SOAL PEMECAHAN MASALAH MATEMATIKA

2021 ◽  
Vol 5 (1) ◽  
pp. 22-36
Author(s):  
Ali Umar ◽  
Nur Ainun Lubis ◽  
Nurul Qomariyah Ahmad ◽  
Edy Saputra ◽  
Mustafa Kamal Nasution
Keyword(s):  
Problem Solving ◽  
Prospective Teachers ◽  
Mathematical Problem ◽  
School Level ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Study Program ◽  
Learning Mathematics ◽  
Secondary School Level ◽  
Problem Solvers

Problem solving is the main focus in learning mathematics at the primary and secondary school level. Prospective teachers must be prepared as well as possible as problem solvers and problem solving instructors. The purpose of this study was to describe the prospective teacher's ability to make a problem solving question based on category of good mathematical problem solving questions. The type of research used is descriptive qualitative.The research subjects were students of semester VI of the 2019/2020 academic year of the IAIN Takengon Mathematics Education Study Program. Based on the research results, it shows that the subjects in general already understood the theory of problem solving , but this understanding did not always directly proportional to the ability to make a mathematical problem solving question.

scholarly journals ANALISIS KEMAMPUAN PEMAHAMAN DAN PEMECAHAN MASALAH MATEMATIK SISWA SMP PADA MATERI PERSAMAAN LINEAR SATU VARIABEL

2019 ◽  
Vol 2 (3) ◽  
pp. 107
Author(s):  
Kameswari Sri Lestari ◽  
Siti Nurjanah ◽  
Luvy Sylviana Zanthy
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Total Sample ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Comprehension Ability ◽  
Mathematical Problems ◽  
Academic Year

This study aims to determine students' mathematical understanding and problem solving abilities in the material of One Variable Linear Equation (PLSV). This research was conducted in the odd semester of the 2018/2019 academic year in Bandung. The population in this study were all students of class VII SMP Negeri 36 Bandung with a total sample of 30 students namely class VII-E. The research instrument used was in the form of six tests of comprehension ability and three test questions for mathematical problem solving abilities. The research method used is qualitative research. Based on the results of the study it can be concluded that errors in understanding and solving mathematical problems of junior high school students are classified as low and there is a relationship between the ability to understand and mathematical problem solving abilities.

scholarly journals Choleris Students' Critical Thinking Process In Mathematics Problem Solving

2021 ◽  
Vol 5 (2) ◽  
pp. 329
Author(s):  
Moh Syukron Maftuh ◽  
Nur Fathonah ◽  
Ina Nur Roihah
Keyword(s):  
High School Students ◽  
Critical Thinking ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Mathematical Problems ◽  
Thinking Process ◽  
Data Collection Technique

The purpose of this study was to describe the critical thinking process of junior high school students with choleric personalities in solving mathematical problems. This research is a descriptive study with a qualitative approach. The subjects in this study were two students of MTs Hasanuddin Sidoarjo class VIII who had choleric personalities obtained from the results of personality tests. The research stages used by the researchers consisted of three stages, namely the preparation stage, the implementation stage, and the analysis stage. The data collection technique in this research is the technique of giving the Mathematical Problem Solving Test (TPMM) and interviews later to obtain valid and credible data, researchers use source triangulation. Based on the results of data analysis, it can be concluded that the choleric subject in solving mathematical problems shows the criteria for critical thinking: focus, reason, inference, situation, clarity, overview at the stage of understanding the problem. At the stage of making a plan for the completion of the choleric subject, it fulfills the criteria for critical thinking, focus, reason, inference, situation, clarity, overview. Likewise, at the stage of implementing the completion plan, the choleric subject meets the criteria for critical thinking, focus, reason, inference, situation, clarity, overview. Meanwhile, at the stage of re-examining the completion plan, the choleric subject only met the criteria for critical thinking, focus, reason, inference, situation, clarity, did not meet the criteria for critical thinking overview. Keywords: Critical Thinking, Mathematical Problem Solving, Choleric Personality

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