scholarly journals Condition of Students' Mathematical Reasoning Abilities Based on Their Ability to Argue

2021 ◽  
Vol 2 (2) ◽  
pp. 98
Author(s):  
Arlina Trie Cahyono ◽  
Susiswo Susiswo ◽  
Tjang Daniel Chandra

This study aims to reveal the condition of students' reasoning abilities based on the way students argue. This research uses a qualitative-descriptive approach. The subjects in this study were 3 students of junior high school with high reasoning abilities and 3 students with low reasoning abilities who viewed the reasoning ability scores when providing problem solving solutions on the written test. The data obtained in this study were in the form of students' written test scores and the results of student interviews. Interviews were conducted to bring up students 'ability to argue that describe and reveal the condition of students' reasoning abilities in the process of solving problems. The results of students 'arguments are analyzed and adjusted to the model of StephenToulmin's argument which reveals that there are 6 components of the argumentation to show the seriousness of students in arguing in order to obtain valid argument results to assess students' reasoning abilities. The arguments from students succeeded in uncovering 4 conditions that describe the conditions of students' mathematical reasoning abilities. These conditions are: 1) Students who show high reasoning ability in written tests and are able to show their reasoning process in the arguments that are brought up, 2) Students who show low reasoning abilities in written tests but are able to show their reasoning processes in the arguments that are brought up, 3) Students which shows a high reasoning ability in a written test but have not been able to demonstrate the reasoning process in the arguments that are brought up, and 4) Students who show a low reasoning ability in a written test and have not been able to demonstrate their reasoning process in the arguments that are brought up.

2019 ◽  
Vol 8 (2) ◽  
pp. 341-352
Author(s):  
Asurya Octaviyunas ◽  
Arta Ekayanti

AbstrakPenelitian ini didasari atas permasalahan pentingnya kemampuan penalaran matematis dan pencapaiannya yang masih rendah. Tujuan dari penelitian ini adalah mengetahui pengaruh model pembelajaran Giving Question Getting Answer dan Think Pair Share terhadap kemampuan penalaran matematika siswa, dan efektifitasnya dalam meningkatkan kemampuan tersebut. Populasi Penelitian eksperimen semu ini mencakup seluruh siswa kelas VII SMPN 1 Balong. Kelas VIIA diberi pembelajaran dengan model TPS sedangkan kelas VIIB dengan model GQGA. Instrumen pengumpulan data berbentuk tes, meliputi soal pretest dan posttest. Hasil penelitian menunjukkan bahwa model pembelajaran GQGA berpengaruh terhadap kemampuan penalaran siswa kelas VIIB dengan peningkatan yang terjadi dari nilai pretest ke posttest. Begitu juga dengan model pembelajaran TPS berpengaruh terhadap kemampuan penalaran matematika siswa kelas VIIA dengan peningkatan nilai pretest ke posttest. Model pembelajaran GQGA tidak lebih efektif daripada model pembelajaran TPS dalam meningkatkan kemampuan penalaran matematika siswa. The Effect of Learning Model Giving Question Getting Answer and Think Pair Share Toward Reasoning Mathematics Ability Student’s Grade VII AbstractThis research is based on the problem of the importance of mathematical reasoning abilities and their low achievement. The purpose of this study was to determine the effect of Giving Question Getting Answer and Think Pair Share learning models on students' mathematical reasoning abilities and their effectiveness in enhancing these abilities. Population This quasi-experimental study included all seventh-grade students of Balong 1 Junior High School. The VIIA class is given learning with the TPS model while the VIIB class is with the GQGA model. The instruments of data collection are in the form of tests, including the questions of the pretest and posttest. The results showed that the GQGA learning model had an effect on the reasoning ability of students in class VIIB with an increase that occurred from the pretest to the posttest. Likewise, the TPS learning model influences the mathematical reasoning abilities of VIIA students with an increase in the value of the pretest to posttest. The GQGA learning model is no more effective than the TPS learning model in improving students' mathematical reasoning abilities.


2021 ◽  
Vol 58 (1) ◽  
pp. 4750-4755
Author(s):  
Ishaq Nuriadin Et al.

Mathematical reasoning skills are critical for students to solve math problems. The research objective was to determine the reasoning ability of junior high school students in solving number problems. This research is a qualitative descriptive study with case studies. The research subjects were 27 students consisting of 14 female students and 13 male students. A total of 10 questions were tested containing five multiple-choice questions, and five description questions. From the results of data analysis, 3% of students had high reasoning abilities, 43% of students had moderate reasoning abilities, 30% of students had low reasoning abilities, 13% of students had meagre reasoning abilities.


2018 ◽  
Vol 1 (3) ◽  
pp. 347
Author(s):  
Mochamad Try Suharto ◽  
Siti Chotimah

The reasoning is the ability to find a way to get the truth. In terminology, logic is the science that governs the process of human thinking so that the results presented can reach the truth. So it can be concluded also that by reasoning, humans can make an argument that is absolute and can be accepted by others through logical thinking. This research was conducted to determine the mathematical reasoning ability of MTs class 8 students on Triangle and Quadrilateral material based on indicators of mathematical reasoning ability that is to draw a logical conclusion and compose an argument, analogical reasoning, transductive reasoning, deductive reasoning, generalization and estimate answers, solutions or tendency with non-routine troubleshooting. The research method used is descriptive qualitative with data to be analyzed is qualitative data in the form of written and oral answers obtained from the written test. This research was conducted in MTs PPI 38 Padalarang with the subject of this research is class VIII-A which amounted to 31 people. Based on the results of research, students' mathematical reasoning abilities on MTs PPI 38 Padalarang are classified as sufficient. This is because there are some reasoning indicators that still need to be improved especially on analytical reasoning and generalization indicator as stated in the table which has been described.


Author(s):  
Sarah Isnaeni ◽  
Lailatul Fajriyah ◽  
Evi Sri Risky ◽  
Ratni Purwasih ◽  
Wahyu Hidayat

Penelitian ini bertujuan untuk menganalisis kemampuan penalaran dan kemandirian belajar pada materi persamaan garis lurus siswa SMP. Metode penelitian ini menggunakan metode deskriptif kualitatif. Tempat penelitian dilaksanakan di SMP Negeri 5 Cimahi pada kelas VIII semester ganjil tahun ajaran 2017-2018. Populasi penelitian ini adalah siswa kelas VIII SMP Negeri 5 Cimahi pada materi Persamaan Garis Lurus. Subjek penelitian adalah siswa kelas VIII E. Untuk memperoleh data penelitian digunakan instrumen berupa tes soal uraian dan angket kemandirian belajar. Hasil penelitian didapat kesimpulan: (1) tingkat kemampuan penalaran matematis siswa dalam penyelesaian masih level rendah; (2) kesulitan siswa pada umunya belum memahami soal dan prakonsep masih rendah; (3) siswa belum tertanam rasa belajar secara mandiri. Kata kunci: kemampuan penalaran matematis, kemandirian belajar.   ABSTRACT This study aims to analyze the ability of reasoning and self-regulated learning on the material of equations of straight lines of junior high school students. This research method using qualitative descriptive method. This research is conducted in SMP Negeri 5 Cimahi in Grade VIII of academic year 2017-2018. The population of this study is the students of class VIII SMP Negeri 5 Cimahi who have studied the material of the equation of straight line. The subject of the research is the students of class VIII E. To obtain the research data used the instrument in the form of test description and questionnaire self-regulated learning. The results of the research concluded: (1) the level of students' mathematical reasoning ability in the problem solving is still low level; (2) students' difficulties in general have not understood the problem and the preconception is still low; (3) students have not embedded the sense of learning independently. Keywords: mathematical reasoning ability, self-regulated learning.


2020 ◽  
Vol 6 (1) ◽  
pp. 62
Author(s):  
Dyah Ayu Nur Khoeriyah ◽  
Ahmad Ahmad

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.


2020 ◽  
Vol 3 (2) ◽  
pp. 88
Author(s):  
Yatha Yuni ◽  
Andri Suryana

The abilities that must be mastered by high school students according to the demands of the 2013 curriculum include reasoning. Students who have good reasoning abilities make it easier to understand mathematics. But in reality there are still many students who have low mathematical reasoning ability, seen when they have difficulty solving math problems. This research objective is to prove the habit of solving open-ended problems that can improve the mathematical reasoning ability of junior high school students based on the level of initial mathematical ability: high, medium, and low. The study used an experimental method with a "One-Group pre-test post-test design". Randomly, selected 77 grade VII students of SMP Negeri in Bekasi as a sample. The prerequisite test shows that each level of data comes from groups that are normally distributed and homogeneous. The results showed normal gain, both overall and level showed improvement. Based on the t test obtained p value of 0.000 < 0.005, meaning this study can prove student habits in solving open-ended problems when learning mathematics on triangles and quadrilateral, can improve students' mathematical reasoning abilities.


2021 ◽  
Vol 1 (1) ◽  
pp. 52-61
Author(s):  
Fauziah ◽  
Ilham Minggi ◽  
Ahmad Talib

This study aims to describe the students' mathematical reasoning abilities in solving TIMSS cognitive domain reasoning problems in algebraic content in terms of the student’s thinking style of the students. The type of research is a qualitative research study with a descriptive approach. The subjects of this research consisted of one student who representing each of the concrete sequential thinking styles. The instrument of this research used consisted of thinking style questionnaires, mathematical reasoning ability test questions, and interview guidelines. The results of this study indicate that: SK thinking style subjects are able to meet four indicators of mathematical reasoning ability, namely: a) the ability to make guesses, b) the ability to draw conclusions, arrange evidence, provide reasons or evidence for the truth of the solution, c) the ability to draw the validity of an argumen, and d) the ability to find patterns or the nature of mathematical symptoms to make generalizations.


2020 ◽  
Vol 1 (2) ◽  
pp. 16-28
Author(s):  
Annisa Puspita Fanhary

AbstractThe purpose of this study was to analyze the mathematical reasoning abilities of students in class XII Accounting 1 SMK Diponegoro Salatiga, the efforts of teachers in maximizing the mathematical reasoning abilities of students in class XII Accounting 1 at SMK Diponegoro Salatiga, and the efforts of the teacher in overcoming problems with the students' low mathematical reasoning abilities. The method used in this research is to use a qualitative approach. Data collection in this study was a written test and interviews. The test was conducted to determine the students' mathematical reasoning abilities by using 3 open-ended questions in the form of descriptions. Interviews were conducted to find out in depth the mathematical reasoning abilities of students in solving math problems which were followed by 6 out of 29 students who were selected based on the students' abilities, namely 2 students with high abilities, 2 students with moderate abilities and 2 students with low abilities. The results of the study reveal that: (1) high-ability students meet the indicators of presenting mathematical statements orally, in writing, pictures and diagrams; submit allegations; manipulating mathematics; compile evidence, provide reasons / evidence for the correctness of the solution; draw a conclusion; and check the validity of an argument. Students who are able to meet the indicators present mathematical statements orally, in writing, pictures and diagrams; submit allegations; and manipulate math. Low ability students meet the indicators of presenting mathematical statements orally, in writing, pictures and diagrams; and put forward allegations. (2) the efforts of the teacher in maximizing the mathematical reasoning abilities of students in class XII Accounting 1 SMK Diponegoro Salatiga by enriching and remedials. (3) the efforts of the teacher in overcoming students' low mathematical reasoning abilities by conducting peer tutoring.   Keywords: Ability Analysis, Mathematical Reasoning, Open-ended Problems.


2017 ◽  
Vol 3 (2) ◽  
Author(s):  
Indah . Syahputri ◽  
Martua . Manullang

ABSTRAK Penelitian ini bertujuan untuk mengetahui bahwa kemampuan penalaran matematis siswa yang diajar dengan model pembelajaran Discovery Learning lebih tinggi daripada siswa yang diajar dengan model pembelajaran kooperatif tipe STAD di kelas VIII SMP Negeri 6 Medan T.A 2016/2017. Jenis penelitian ini adalah eksperimen semu. Populasi dalam penelitian ini adalah seluruh siswa kelas VIII Semester genap SMP Negeri 6 Medan dan sampel dalam penelitian ini adalah siswa kelas VIII-C dan kelas VIII-D sebanyak 76 siswa. Instrumen yang digunakan untuk mengetahui kemampuan penalaran matematis  siswa adalah tes kemampuan penalaran matematis  yang telah divalidasi dalam bentuk uraian. Dari hasil penelitian yang diberi perlakuan yang berbeda, kelas eksperimen 1 dengan model pembelajaran Discovery Learning dan kelas eksperimen 2 dengan model pembelajaran kooperatif tipe STAD diperoleh kesimpulan bahwa kemampuan penalaran matematis siswa yang diajar dengan model pembelajaran Discovery Learning lebih tinggi daripada siswa yang diajar dengan model pembelajaran kooperatif tipe STAD di kelas VIII SMP Negeri 6 Medan  T.A.  2016/2017 Kata Kunci : Discovery Learning, STAD, Penalaran Matematis  ABSTRACT This study aims to determine that the students' mathematical reasoning abilities taught by the learning model of Discovery Learning is higher than the students who are taught by STAD type cooperative learning model in class VIII SMP Negeri 6 Medan T.A 2016/2017. This type of research is a quasi experiment. The population in this study is all students of class VIII Semester even Junior High School 6 Medan and the sample in this study are students of class VIII-C and class VIII-D as many as 76 students. The instrument used to determine students' mathematical reasoning abilities is a validated test of mathematical reasoning ability in the form of a description. From the results of different research, experimental class 1 with the learning model of Discovery Learning and experiment 2 class with STAD type cooperative learning model obtained the conclusion that the students' mathematical reasoning ability taught by the learning model of Discovery Learning is higher than the students who are taught by the model of learning Cooperative type STAD in class VIII SMP Negeri 6 Medan TA 2016/2017 Keywords: Discovery Learning, STAD, Mathematical Reasoning


2020 ◽  
Vol 1 (2) ◽  
pp. 59
Author(s):  
Agus Setiawan ◽  
Cholis Sa'dijah

The purpose of this study is to identify the reasoning male and female in solving geometry problems. Using qualitative descriptive approach, the subjects in this study were 42 male and 42 female students from two schools in the district Mesuji Lampung, Indonesia. The instrument used was a test essay consists of two problems related to geometry. The findings of this study indicate that male students have superior reasoning ability than female students. Another finding that students can make mistakes in every stage of reasoning is based on five indicators of reasoning primarily on third indicator it is perform mathematical manipulations and provide a reason or evidence to the truth of the solution, fourth indicator it is checking the validity of an argument, and fifth indicator it is draw conclusions and the first indicator and the second indicator students make a little mistake.


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