scholarly journals PROFIL PENALARAN MATEMATIS SISWA SMP DALAM PEMECAHAN MASALAH ARITMETIKA SOSIAL BERDASARKAN KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 110-120
Author(s):  
YULIANA DWI RAHMAWATI ◽  
Masriyah Masriyah
Keyword(s):  
Problem Solving ◽  
Qualitative Data ◽  
Mathematical Reasoning ◽  
Research Subjects ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Mathematical Abilities ◽  
Reasoning Problem ◽  
Mathematical Problems ◽  
Problem Solving Strategies

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities

scholarly journals An AN ANALYSIS OF MATHEMATICAL REASONING ABILITY IN PROBLEM SOLVING WORD PROBLEM BASED ON GENDER AT UNIVERSITAS MUHAMMADIYAH LAMONGAN

2021 ◽  
Vol 3 (2) ◽  
pp. 12-20
Author(s):  
Humairah -
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Mathematical Reasoning ◽  
Male Students ◽  
Story Problems ◽  
Research Subjects ◽  
Reasoning Abilities ◽  
Descriptive Research ◽  
Reasoning Problem ◽  
Qualitative Descriptive

This study aims to describe and analyze the mathematical reasoning and problem solving abilities of PGSD students, Universitas Muhammadiyah Lamongan, based on the gender in resolving story problems. This research is a qualitative descriptive research. The research subjects were 6 PGSD students of Universitas Muhammadiyah Lamongan who were selected based on the criteria of academic abilities; students with high reasoning, moderate reasoning, and low reasoning. The data collection techniques were observation, test, and interview. The data analysis was based on the results of test, observation, and interview obtained by students and based on table rubrics. Data analysis was carried out by the researcher using 6 subjects as representatives consisting of 3 males and 3 females with criteria previously mentioned (high, moderate, low). The results of data analysis on mathematical reasoning and problem solving abilities based on gender were female students' mathematical reasoning abilities were superior than male students' mathematical reasoning abilities. Keywords: Mathematical Reasoning, Problem Solving, Gender

scholarly journals ADAPTIVE REASONING OF SOCIAL SECONDARY STUDENTS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 112-119
Author(s):  
Nadhias Salwanda ◽  
Tatag Yuli Eko Siswono
Keyword(s):  
Social Sciences ◽  
Problem Solving ◽  
Secondary Students ◽  
Mathematical Problem ◽  
Research Subjects ◽  
Mathematical Skills ◽  
Reasoning Abilities ◽  
Reasoning Problem ◽  
The Social ◽  
Mathematical Problems

Adaptive reasoning is a component of basic mathematical skills that needs to be developed for students so that they can use mathematical procedures effectively. This research is a qualitative research that aims to describe the adaptive reasoning profile of secondary students in the Social Sciences department in solving mathematical problems. Research subjects were three students that solving mathematical problems correctly, solving mathematical problems less correctly, and solving mathematical problems incorrectly. The method used to collect data was to provide mathematical problem-solving tests and interviews. Data were analyzed based on students' adaptive reasoning activities in their activities to solve mathematical problems seen from three main aspects of adaptive reasoning, namely reflecting, explaining, and justifying. The results show that student who solved mathematical problems correctly indicated adaptive reasoning abilities in every aspect; student who solved mathematical problems less incorrectly demonstrated adaptive reasoning abilities that almost met all indicator aspects, and student who solved mathematical problems incorrectly did not demonstrate adaptive reasoning abilities in every aspect. Keywords: adaptive reasoning, problem solving, social secondary students.

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

scholarly journals Analisis Kemampuan Pemecahan Masalah Matematika Siswa Berdasarkan Teori APOS (Action, Process, Object, Schema) Ditinjau dari Gaya Kognitif Field Dependent dan Field Independent

2021 ◽  
Vol 1 (1) ◽  
pp. 51
Author(s):  
Mochamad Jazim ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma ◽  
Arifiatun Arifiatun
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Mathematical Problem ◽  
Research Subjects ◽  
Ability Test ◽  
Process Stage ◽  
Independent Field ◽  
Field Independent ◽  
Field Dependent ◽  
Mathematical Problems

This study aims to describe and analyze students' mathematical problem solving abilities based on theory of APOS (Action, Peocess, Object, Schema) in terms of Field Dependent and Field Independent Cognitive Style. It is descriptive research with qualitative approach. The research subjects are 34 students in class XI MIPA 1 SMA Nurul Islam Jember, they are grouped on cognitive style, they are 24 students having field independent cognitive style and 10 students having field dependent cognitive style. The method of data collection use a GEFT (Group Embedded Figure Test), test of problem solving abilities, , and interviews. The results of the data analysis of the problem solving ability test and interviews showed that at the action stage, students with the independent field cognitive style (FI) tended to be able to explain the meaning and information on the questions even though they did not write down what they knew. Students with the field dependent cognitive style (FD) tend to be able to write down the information contained in the questions, but have difficulty explaining the meaning of the questions. At the process stage, FI and FD students are able to model and explain the stages well, but FD still has errors in the resulting mathematical model. At the object stage, FI students tend to work on questions freely, while FD students tend to work on questions in detail or are fixated on completely arranged steps, FD students also have difficulty in explaining back the results of their work. At the schema stage, FI and FD students tend to be able to explain how to use the information contained at the object stage to be used at the schema stage. In general, students with a field independent cognitive style in solving mathematical problems tend to be free or not fixated on complete and detailed steps, and have an analytical nature, so they are able to sort out the important information contained in the questions. Students with a field dependent cognitive style in solving math problems tend to be bound or fixated with steps that are arranged in a complete and detailed manner. Keywords: mathematics problem solving, APOS theory, cognitive style

scholarly journals The Development of Teacher Efforts to Improve The Mathematical Reasoning Abilities Through The Problem Based Learning

2020 ◽  
Vol 1 (8) ◽  
Author(s):  
Siti Rahmah ◽  
Rahmah Johar ◽  
Saminan Saminan
Keyword(s):  
Action Research ◽  
Data Collection ◽  
Mathematical Reasoning ◽  
Problem Based Learning ◽  
Reasoning Ability ◽  
Research Subjects ◽  
Ability Test ◽  
Reasoning Abilities ◽  
Better Than ◽  
Made In

The purpose of this study is to determine teacher efforts to improve students' mathematical reasoning abilities through the Problem Based Learning model. This research is a classroom action research consisting of two cycles, namely planning, implementation, observation, and reflection. The research subjects were 28 students of class VII-1 SMP Negeri 2 Siantan, Anambas Islands Regency. The research instrument used was the teacher's observation sheet and the mathematical reasoning ability test. Data collection is done through observation and tests. The data obtained were analyzed qualitatively and described in a descriptive form. The results obtained are the mathematical reasoning ability of students in the first cycle of 2.27 and the second cycle of 2.83. Based on the results of the study showed that the efforts of teachers made in the second cycle were better than the first cycle, so that an increase in students' mathematical reasoning abilities in the second cycle was in the good category.

Penerapan Model Pembelajaran Problem Solving Dengan Pendekatan Saintifik Pada Kemampuan Penalaran Matematis Siswa Kelas VIII B SMP Negeri 1 Padamara

2020 ◽  
Vol 6 (1) ◽  
pp. 62
Author(s):  
Dyah Ayu Nur Khoeriyah ◽  
Ahmad Ahmad
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Reasoning ◽  
Action Planning ◽  
Reasoning Ability ◽  
Ability Test ◽  
Average Value ◽  
Reasoning Abilities ◽  
Flat Side ◽  
Class Viii

This study aims to improve students' mathematical reasoning abilities in learning mathematics through Problem Solving with Scientific approaches. The subjects in this study were all students of class VIII B, Padamara 1 st junior high school, totaling 33 students. This research was conducted in 3 cycles, each cycle consisting of 2 meetings. Each cycle in this study includes action planning, action implementation, observation and reflection. To measure the ability of mathematical reasoning is evaluated using the mathematical reasoning ability test. Based on the results of the study, the mathematical reasoning ability of the first cycle obtained an average value of 40.9, the second cycle obtained an average value of 60.15, and the third cycle obtained an average value of 63.3. The conclusion obtained from this study is that learning with Problem Solving with the Scientific approach can improve the mathematical reasoning ability of students of class VIII B Padamara 1 N Middle School, especially the subject of Building a Flat Side Room.

scholarly journals Students’ Strategies in Solving PISA Mathematical Problems Reviewed from Problem-Solving Strategies

2021 ◽  
Vol 15 (1) ◽  
pp. 37-48
Author(s):  
Meryansumayeka Meryansumayeka ◽  
Zulkardi Zulkardi ◽  
Ratu Ilma Indra Putri ◽  
Cecil Hiltrimartin
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Descriptive Study ◽  
Dominant Strategy ◽  
Trial And Error ◽  
Research Subjects ◽  
School Students ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Different Levels

This study purposes to describe the strategies used by students in solving PISA type problems seen from the strategy of problem solving according to Polya. The research methodology is qualitative type descriptive study. Research subjects were 6 high school students in Palembang who had different levels of mathematical ability. Data was gathered using observation, interviews, and student answer sheets on the type of PISA questions given. The results showed that the dominant strategy used by students in solving PISA type problems included making pictures when they solve problem related to geometry; looking for possible answers systematically when they try to solve problem within numeric; writing information stated and the question when the problem is in the form of storytelling; and using trial and error when the problem provide answer alternatives.

scholarly journals Kemampuan Komunikasi Matematis Siswa SMP dalam Menyelesaikan Masalah Matematika Berdasarkan Gaya Kognitif Reflektif dan Impulsif

2021 ◽  
Vol 4 (1) ◽  
pp. 22
Author(s):  
Nur Qomariyah ◽  
Rini Setianingsih
Keyword(s):  
Problem Solving ◽  
Cognitive Style ◽  
Communication Skills ◽  
Cognitive Styles ◽  
Research Subjects ◽  
Mathematical Communication ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Problem Solving Strategies ◽  
Communication Differences

Abstrak — Komunikasi matematis merupakan cara penyampaian ide, strategi, maupun solusi masalah matematika secara tertulis maupun lisan. Gaya kognitif yang berbeda memungkinkan terjadinya perbedaan komunikasi dalam menyelesaikan masalah matematika baik secara lisan maupun tulisan. Penelitian ini bertujuan untuk mendeskripsikan kemampuan komunikasi matematis siswa dengan gaya kognitif reflektif dan impulsif dalam menyelesaikan masalah matematika. Penelitian ini merupakan penelitian deskriptif kualitatif. Subjek penelitiannya yaitu satu siswa bergaya kognitif reflektif (SR) dan satu siswa bergaya kognitif impulsif (SI). Hasil penelitian ini menunjukkan bahwa kemampuan komunikasi matematis tulis siswa yang bergaya kognitif reflektif dapat dikatakan tidak akurat, tidak lengkap, dan lancar pada tahap memahami masalah. Kemampuan komunikasi lisan siswa yang bergaya kognitif reflektif dapat dikatakan akurat, lengkap, dan lancar disetiap tahap penyelesaian masalah. Kemampuan komunikasi matematis tulis siswa yang bergaya kognitif impulsif dapat dikatakan tidak akurat, tidak lengkap dan lancar pada tahap memahami masalah. Selain itu, di tahap memeriksa kembali dapat dikatakan tidak akurat, tidak lengkap, dan tidak lancar. Kemampuan komunikasi matematis lisan siswa bergaya kognitif impulsif dapat dikatakan tidak akurat, tidak lengkap dan tidak lancar di tahap memeriksa kembali.Kata Kunci: Komunikasi Matematis, Gaya Kognitif Reflektif, Gaya Kognitif Impulsif  Abstract — Mathematical communication is a way to convey ideas of problem solving, strategies and mathematical solutions both in writing and verbally. The different cognitive styles allowing communication differences in solving mathematical problems both verbally and in writing. This study aims to describe the mathematical communication skills of students with reflective and impulsive cognitive styles in solving mathematical problems. This research is a qualitative descriptive study. The research subjects were one student with reflective cognitive style (SR) and one student with impulsive cognitive style (SI). The results of this study indicate that students' written mathematical communication skills with reflective cognitive style can be said to be inaccurate, incomplete, and fluent at the step of understanding the problem. The verbal communication skills of students who are reflective cognitive style can be said to be accurate, complete, and fluent at every step of problem solving. The students' written mathematical communication skills with impulsive cognitive style can be said to be inaccurate, incomplete and fluent at the stage of understanding the problem. In addition, the step of looking back can be said to be inaccurate, incomplete, and influent. The verbal mathematical communication skills of students with impulsive cognitive style can be said to be inaccurate, incomplete and influent at the step of looking back.Keywords: Mathematical Communication, Reflective Cognitive Style, Impulsive Cognitive Style

scholarly journals The Effectiveness of a Proposed Enrichment Program Based on Problem-Solving and Problem Posing in Developing the Ability of Mathematical Reasoning and Sense-Making among Grade Ten High Achievers

2017 ◽  
Vol 11 (3) ◽  
pp. 645
Author(s):  
Salama S. Al Badri ◽  
Reda A. Al Sayed
Keyword(s):  
Problem Solving ◽  
Mathematical Reasoning ◽  
Analysis Of Covariance ◽  
High Achievers ◽  
Problem Posing ◽  
Sense Making ◽  
High Achievement ◽  
Mathematical Abilities ◽  
Mathematical Problems ◽  
Enrichment Program

This study aimed to reveal the effectiveness of a proposed enrichment program based on problem-solving and problem posing in developing the ability of the mathematical reasoning and sense making among students of high achievement. To achieve this goal, an enrichment training program was designed to focus on a set of mathematical ideas and skills in mathematics using problem-solving and problem- posing strategies to solve and pose non-routine mathematical problems for students of high achievement to develop their mathematical reasoning and sense making ability. The researcher designed a test to measure the mathematical reasoning and sense making. In addition, the Test of Mathematical Abilities (TOMA-3) was used to measure the students' mathematical abilities before the experiment. The sample of the study consisted of 63 grade ten high achievers randomly selected from South Batinah governorate, which was divided into control and experimental groups. For testing the study hypothesis, data was analyzed by analysis of covariance (ANCOVA) in which eta squared was obtained. The results showed that the proposed program was effective and the mathematical reasoning and sense making skills were highly achieved.

scholarly journals PROFIL PEMAHAMAN MATEMATIS SISWA DALAM MENYELESAIKAN MASALAH BERDASARKAN KEMAMPUAN MATEMATIKA DI SMK MUHAMMADIYAH 1 BARON

2021 ◽  
Vol 1 (4) ◽  
pp. 185-195
Author(s):  
ABDUR ROCHIM
Keyword(s):  
Problem Solving ◽  
Quadratic Function ◽  
Mathematical Understanding ◽  
Mathematical Ability ◽  
Research Subjects ◽  
Mathematical Abilities ◽  
Mathematics Ability ◽  
Mathematical Problems ◽  
The Subject ◽  
Object Of Study

Mathematics has a special characteristic that is an abstract object of study. Because of this specificity, learning mathematics requires mathematical understanding. Mathematical understanding in solving mathematical problems is different between each student. This difference is because each student has different mathematical abilities. The purpose of this study was to describe (1) the profile of mathematical understanding of students with high mathematics ability in solving problems (2) the profile of mathematical understanding of students with moderate mathematics ability in solving problems (3) the profile of mathematical understanding of students with low mathematics ability in solving problems. This research is a qualitative descriptive study with 3 students as the subject of class XI SMK Muhammadiyah 1 Baron. The selection of research subjects was based on students' mathematical abilities, namely high, medium and low mathematical abilities. Data collection techniques in this study using problem solving test techniques and interviews. The validity of the data used in this study used time triangulation. Based on the results of data analysis, the results showed that (1) The profile of mathematical understanding with high mathematical ability in solving quadratic function problems is the subject of reading the problem until it understands, writing correctly what is known and asked, conducting problem exploration appropriately, choosing the right problem solving strategy, looking for answers by doing algebraic calculations correctly and checking the answers back from the solutions obtained. (2) The profile of mathematical understanding with moderate mathematical ability in solving quadratic function problems is that the subject reads the problem until he understands, correctly states what is known and asked, skips problem exploration, looks for answers by doing algebraic calculations even though inaccurate answers are obtained and does not check answer back. (3) The profile of mathematical understanding with low mathematical ability in solving quadratic function problems is that the subject reads the problem until he understands, correctly states what is known and asked, skips problem exploration, looks for answers by doing algebraic calculations but gets inaccurate answers and does not check answer back. ABSTRAKMatematika memiliki karakteristik khusus yaitu objek kajian yang abstrak. Karena kekhususannya ini maka dalam mempelajari matematika diperlukan pemahaman matematis. Pemahaman matematis dalam menyelesaikan masalah matematika berbeda antar setiap siswa. Perbedaan ini dikarenakan setiap siswa memiliki kemampuan matematika yang berbeda. Tujuan penelitian ini adalah untuk mendeskripsikan (1) profil pemahaman matematis siswa berkemampuan matematika tinggi dalam menyelesaikan masalah (2) profil pemahaman matematis siswa berkemampuan matematika sedang dalam menyelesaikan masalah (3) profil pemahaman matematis siswa berkemampuan matematika rendah dalam menyelesaikan masalah. Penelitian ini merupakan penelitian deskriptif kualitatif dengan subjek penelitian kelas XI SMK Muhammadiyah 1 Baron berjumlah 3 siswa. Pemilihan subjek penelitian berdasarkan pada kemampuan matematika siswa yaitu kemampuan matematika tinggi, sedang dan rendah. Teknik pengumpulan data dalam penelitian ini menggunkan teknik tes pemecahan masalah dan wawancara. Keabsahan data yang digunakan dalam penelitian ini menggunakan triangulasi waktu. Berdasarkan hasil analisis data diperoleh hasil bahwa (1) Profil pemahaman matematis berkemampuan matematika tinggi dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menuliskan dengan benar apa yang diketahui dan ditanyakan, melakukan eksplorasi masalah dengan tepat, memilih strategi penyelesaian masalah dengan tepat, menacari jawaban dengan melalukan perhitungan aljabar dengan tepat serta melakukan pemeriksaan jawaban kembali dari solusi yang diperoleh. (2) Profil pemahaman matematis berkemampuan matematika sedang dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menyebutkan dengan benar apa yang diketahui dan ditanyakan, melewatkan eksplorasi masalah, menacari jawaban dengan melalukan perhitungan aljabar walaupun diperoleh jawaban yang kurang tepat serta tidak melakukan pemeriksaan jawaban kembali. (3) Profil pemahaman matematis berkemampuan matematika rendah dalam menyelesaikan masalah fungsi kuadrat adalah subjek membaca masalah sampai paham, menyebutkan dengan benar apa yang diketahui dan ditanyakan, melewatkan eksplorasi masalah, menacari jawaban dengan melalukan perhitungan aljabar namun diperoleh jawaban yang kurang tepat serta tidak melakukan pengecekan jawaban kembali.

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