scholarly journals KEMAMPUAN PENALARAN MATEMATIK SISWA MTs

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.

2019 ◽  
Vol 5 (2) ◽  
pp. 58
Author(s):  
Surya Anding Permadi

This study aims to describe the analytical reasoning ability of Grade VIII students of SMP Negeri 2 Gumelar in terms of gender. The research method used in this research is descriptive qualitative research method. The subjects in this study were students of class VIII D of SMP Negeri 2 Gumelar, totaling 28 students consisting of 15 male students and 13 female students. Sampling was done using purposive sampling technique. In one class, 3 male and 3 female students were selected who had good communication and relatively similar mathematical abilities. Data collection in this study used tests, interviews and documentation. Data analysis techniques used include data reduction, data presentation and conclusion. The validation test used is technical triangulation. The results showed that male students had better analytical reasoning abilities compared to female students. Male students have mastered the four components of analogy reasoning ability encompassing Encoding, Inferring, Mapping and Applying. Meanwhile, female students only mastered the three components of analogy reasoning ability namely Inferring, Mapping and Applying


Author(s):  
Patrick C. Kyllonen

Reasoning ability refers to the power and effectiveness of the processes and strategies used in drawing inferences, reaching conclusions, arriving at solutions, and making decisions based on available evidence. The topic of reasoning abilities is multidisciplinary—it is studied in psychology (differential and cognitive), education, neuroscience, genetics, philosophy, and artificial intelligence. There are several distinct forms of reasoning, implicating different reasoning abilities. Deductive reasoning involves drawing conclusions from a set of given premises in the form of categorical syllogisms (e.g., all x are y) or symbolic logic (e.g., if p then q). Inductive reasoning involves the use of examples to suggest a rule that can be applied to new instances, invoked, for example, when drawing inferences about a rule that explains a series (of numbers, letters, events, etc.). Abductive reasoning involves arriving at the most likely explanation for a set of facts, such as a medical diagnosis to explain a set of symptoms, or a scientific theory to explain a set of empirical findings. Bayesian reasoning involves computing probabilities on conclusions based on prior information. Analogical reasoning involves coming to an understanding of a new entity through how it relates to an already familiar one. The related idea of case-based reasoning involves solving a problem (a new case) by recalling similar problems encountered in the past (past cases or stored cases) and using what worked for those similar problems to help solve the current one. Some of the key findings on reasoning abilities are that (a) they are important in school, the workplace, and life, (b) there is not a single reasoning ability but multiple reasoning abilities, (c) the ability to reason is affected by the content and context of reasoning, (d) it is difficult to accelerate the development of reasoning ability, and (e) reasoning ability is limited by working memory capacity, and sometimes by heuristics and strategies that are often useful but that can occasionally lead to distorted reasoning. Several topics related to reasoning abilities appear under different headings, such as problem solving, judgment and decision-making, and critical thinking. Increased attention is being paid to reasoning about emotions and reasoning speed. Reasoning ability is and will remain an important topic in education.


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.


2016 ◽  
Vol 4 (1) ◽  
pp. 120 ◽  
Author(s):  
Nadran Hamdani Siregar ◽  
Kms. M. AminFauzi

<em>The purpose of this study were: (1) analyzed the differences in students’ mathematical reasoning ability </em><em>improvement taught by metacognition approach aided probing technique (PMT-probing) and </em><em>metacognition approach aided prompting technique (PMT-prompting); and (2) described the process of</em><br /><em>the students’ responses in solving mathematical reasoning abilities. This study was a quasi </em><em>experimentalresearch. The population in this study were all students of class VIII SMP Negeri 4 </em><em>SeiSuka, with a purposive sampling techniques, the obtained sample was VIII-1 and VIII-2. The </em><em>research instrument used a test of mathematical reasoning ability, and had qualified the criteria of </em><em>content validity, and reliability coefficient of 0.819. Anova two ways was used to analyze the difference </em><em>of mathematical reasoning ability improvement, while descriptive analysis was used to analyze </em><em>students’ answers process. The results showed that: (1) There were differences in students’ </em><em>mathematical reasoning skills improvement which were taught by metacognition approach aided </em><em>probing techniques and the students taught by prompting technical approach; and (2) The process of </em><em>the students’ responses on students’ mathematical reasoning abilitythrough learning with metacognition </em><em>approach aided by prompting techniques was better than metacognition approach aided by probing</em><br /><em>techniques.</em>


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


2019 ◽  
Vol 4 (2) ◽  
pp. 217-225
Author(s):  
Ade Evi Fatimah

Abstract. This research is a Classroom Action Research which aims to improve the mathematical reasoning ability of students of class VIII Mts Islamiyah Medan through the Open-Ended approach. The subjects in this study were all students of class VIII-1 MTs Islamiyah Medan, totaling 24 students. This research was conducted in 2 cycles, namely cycle I and II, each of which consisted of two meetings. The instruments used in this study were observation guidelines for implementing learning with the Open-Ended approach, cycle tests to measure students' mathematical reasoning abilities towards learning mathematics with the Open-Ended approach, interview guidelines and documentation. Data from observations, tests, and questionnaires were analyzed quantitatively which was strengthened by the results of interviews and descriptive qualitative documentation. The results showed that the mathematical reasoning ability of students in class VIII-1 MTs Islamiyah Medan increased from cycle I to cycle II after learning was carried out with the Open-Ended approach. This is shown by as many as 20 students or 83.3% experienced an increase in mathematical reasoning ability based on the total score of aspects of mathematical reasoning ability. The average percentage of test scores increased from 66.6% in the first cycle to 83.3% in the second cycle and in the high category. Based on observations of the implementation of learning with the Open-Ended approach is good and in accordance with the characteristics of the Open-Ended Approach. Based on the results of interviews and questionnaire results data student responses to mathematics learning in relation to mathematical reasoning abilities, increased from cycle I to cycle II.Keywords: Mathematical Reasoning Ability, Open-Ended Approach.


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.


2021 ◽  
Vol 10 (1) ◽  
Author(s):  
Riyadhotus Sholihah

<p>Analogical reasoning is the ability to solve problems by finding similarities between two objects, namely source and target objects. The purpose of this study was to determine the analogical reasoning profile of students at SMA N 16 Semarang. This study is included in a qualitative study with data collection techniques used in surveys by working on analogical reasoning problems. The research subjects were 100 students of class X. The results found in this study were the category of analogical reasoning ability of students of SMA N 16 Semarang low with a frequency of 74 and a percentage of 73.6%. The low ability of analogical reasoning students is influenced by the lack of learning methods that encourage students in problem-solving using analogies, besides analogies have two sides if understood will facilitate students' understanding of concepts, but if it cannot be understood misconceptions occur so teachers rarely use analogous reasoning in explaining material abstract. Therefore it is necessary to have an understanding and experience of the teacher to build this ability by using learning methods that support analogical reasoning abilities.</p>


2019 ◽  
Vol 3 (1) ◽  
pp. 72
Author(s):  
Widya Rizkha Sandy ◽  
Siti Inganah ◽  
Anis Farida Jamil

This study aimed to describe the level of students' reasoning ability to solve the problems on flat sides of Geometry with the level of mathematical reasoning ability of high, moderate and low. The types and the research approaches used were descriptive qualitative and quantitative research design. The research subjectswere 6 students from class VIIIF. The form of data collection included 4 items ofwritten questions test and interview on the subject selected. Based on the analysis, the average value of the entire instrument about the mathematical reasoning abilities gained 71.5% for the indicators that carried out the calculations based on mathematical formulas or rules applicable. While 73.33% and 71.5% for the indicator of conclusions and 66.67% for the indicator ofestimation, that ifsummedup and averaged the percentage was 69%. The ability of class VIIIF students’ mathematical reasoning was fair.


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