scholarly journals KEMAMPUAN PENALARAN MATEMATIS SISWA KELAS VIII MTs ISLAMIYAH MEDAN MELALUI PENDEKATAN OPEN-ENDED

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.

Khazanah ◽  
2020 ◽  
Vol 12 (2) ◽  
Author(s):  
Nikodemus Cahyo Saputro ◽  
◽  
Krisdianto Hadi Prasetyo ◽  
Andhika Ayu Wulandari ◽  
◽  
...  

The purpose of this study was to determine how the students' mathematical reasoning abilities towards the matrix material. The data in this study were obtained from the results of filling out questionnaires and also interviews. Sources of data in this study were the subjects from which the data were obtained, namely students of class XI-MIPA 3 SMA N 1 Tawangsari. The data analysis technique used was data reduction, data presentation and conclusion drawing. The results of the data analysis from the questionnaire showed that the average percentage of student responses to mathematical reasoning abilities on the matrix material was 60.75% and was in the medium category. With the percentage on each indicator, namely on indicator 1 (students do calculations with the applicable mathematical formula / rules) of 55.63% so that it is included in the moderate category, students with the moderate category have aspects of the ability to understand question commands and are only weak at calculation operations. In indicator 2 (students draw general conclusions based on mathematical processes / concepts) the percentage is 61.25% so it is included in the medium category. In indicator 3 (students make estimates) the percentage is 81.25% so that it is included in the high category, students with high categories have aspects of the ability to understand question commands, question logic and can complete counting operations. While the percentage on indicator 4 (students draw conclusions based on the similarity of mathematical processes / concepts that are seen) is 54.5% so it is included in the low category, students with low categories have aspects of the question's melogical ability and are only weak in counting operations. The average percentage of the four indicators is 63.16% so that student responses can be said to be in the medium category. In this study, checking the validity of the data used triangulation techniques, namely by comparing the results of the study with the results of interviews. From the comparison of data analysis with questionnaires and interviews, it can be concluded that students with mathematical reasoning on the matrix material are in the medium category.


2016 ◽  
Vol 7 (1) ◽  
pp. 91-100 ◽  
Author(s):  
Agus Setiawan

This research is a comparative causal research with factorial design 3 3. The population of this study is all students of class VIII SMP Negeri 1 Simpang Pematang. Sampling was done by cluster random sampling. The sample of this research is students of class VIII B and VIII D. Instruments used to collect data is a test of learning achievement, mathematical reasoning test and student motivation questionnaire. Prior to use for data retrieval, achievement test instruments, reasoning tests and motivational questionnaires were first tested in mathematics. Hypothesis test using two way Anava test with unequal cell. The conclusions of this study are: (1) Students with high mathematical reasoning ability have better learning achievement than students with moderate mathematical reasoning ability, students have better learning achievement than students with low mathematical reasoning, and students with ability High mathematical reasoning has better learning achievement than students with low mathematical reasoning ability, (2) Students with high learning motivation have better learning achievement than students with moderate learning motivation, students with high learning motivation have better learning achievement than Students with low learning motivation, and students with learning motivation are having better learning achievement than students with low learning motivation, (3) There is no interaction between mathematical reasoning ability and motivation of learning mathematics to learning achievement Ar math.


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.


2021 ◽  
Vol 1 (4) ◽  
pp. 210-220
Author(s):  
SOPWATILLAH SOPWATILLAH

This study aims to improve students' mathematical reasoning skills through the application of problem-based learning in class XI TKRO-A SMK Negeri 4 Jakarta which involves 6 students. This research is classroom action research which is carried out in three cycles and each cycle consists of four stages, namely planning, implementation, observation, and reflection. Students are given a test at the end of each cycle to measure their mathematical reasoning ability. The results showed that learning mathematics through the application of problem-based learning can improve mathematical reasoning abilities from pre-study of 39.34 in the first cycle of 67.65 in the second cycle of 72.24 to 74.08 in the third cycle. The conclusion of this study is that the application of problem-based learning can improve students' mathematical reasoning abilities. Improved mathematical reasoning abilities include aspects: the ability to predict answers and solution processes, use patterns and relationships to analyze mathematical situations, draw logical conclusions from statements, and provide explanations using models, facts and relationships in solving problems. The number of students whose mathematical reasoning scores reached or exceeded 75 also increased. In the preliminary study, there were no students whose mathematical reasoning test scores reached or exceeded 75, while in the first cycle as many as 41.18% students, in the second cycle increased to 61.77% students, and in the third cycle increased to 82.35% students. ABSTRAKPenelitian ini bertujuan untuk meningkatkan kemampuan penalaran matematis siswa melalui penerapan pembelajaran berbasis masalah di kelas XI TKRO-A SMK Negeri 4 Jakarta yang melibatkan 6 siswa. Penelitian ini adalah penelitian tindakan kelas (classroom action research) yang dilaksanakan dalam tiga siklus dan tiap siklus terdiri dari empat tahapan, yaitu perencanaan, pelaksanaan, observasi, dan refleksi. Siswa diberikan tes pada setiap akhir siklus untuk mengukur kemampuan penalaran matematis. Hasil penelitian menunjukkan bahwa pembelajaran matematika melalui penerapan pembelajaran berbasis masalah dapat meningkatkan kemampuan penalaran matematis dari pra penelitian sebesar 39,34 siklus I sebesar 67,65 siklus II sebesar 72,24 menjadi 74,08 pada siklus III. Kesimpulan penelitian ini adalah bahwa penerapan pembelajaran berbasis masalah dapat meningkatan kemampuan penalaran matematis siswa. Peningkatan kemampuan penalaran matematis meliputi aspek: kemampuan memperkirakan jawaban dan proses solusi, menggunakan pola dan hubungan untuk menganalisis situasi matematika, menarik kesimpulan logis dari pernyataan, dan memberikan penjelasan dengan menggunakan model, fakta dan hubungan dalam menyelesaikan soal. Jumlah siswa yang nilai penalaran matematisnya mencapai atau melebihi 75 juga mengalami peningkatan. Pada penelitian pendahuluan belum terdapat siswa yang nilai tes penalaran matematisnya mencapai atau melebihi 75, sedangkan pada siklus I sebanyak 41,18% siswa, pada siklus II meningkat menjadi 61,77% siswa, dan pada siklus III meningkat menjadi 82,35% siswa.


2016 ◽  
Vol 2 (1) ◽  
pp. 19-25
Author(s):  
Fitri Amalia Izzati ◽  
Hadi Kusmanto ◽  
Toheri Toheri

One of the purpose of mathematics is to develop students’ mathematical reasoning abilities. But in the fact indicate that objective can’t be realized optimally. This research aims to determine the effect of application Van Hiele theory aided software wingeom to mathematical reasoning ability students on geometry. This research is case study with a sample of 40 students and using technique purposive sampling. The technique of collecting data used questionnaire and essay tests. Based on analysis of questionnaire obtained an average percentage of 63,04%, that means the student responded strongly. While mathematical reasoning ability is quite an average of 67,25%. Based on the hypothesis test analysis whit significance 5% show there is the effect of application Van Hiele theory aided software wingeom to mathematical reasoning ability on geometry. From the regression equation obtained  = 8,482 + 0,847 X. The coefficient is positive, that means there is a positive correlation between the application Van Hiele theory aided software Wingeom and mathematical reasoning ability. The coefficient of determination 0,166 meaning that 16% variable mathematical reasoning ability is determined by the Van Hiele theory aided application software wingeom, while the remaining 84% is explained by other variable. The application of Van Hiele theory aided Wingeom software significantly affect students’ mathematical reasoning ability on geometry.


2020 ◽  
Vol 2 (2) ◽  
pp. 7-20
Author(s):  
Elisa Dewi Puspitasari

The purpose of this study is to describe the application of Reciprocal Teaching with role cards to improve student mathematical reasoning abilities on trigonometry material. Mathematical reasoning is thinking about mathematical problems logically to solve a problem and give reasons for a solution. One of the lessons learned to overcome the low mathematical reasoning ability is the learning of Reciprocal Teaching models using role cards. The steps of Reciprocal Teaching activities include question generating, clarifying, predicting, and summarizing. Before the Reciprocal Teaching steps are carried out, students are given a role card to determine the students who become model teachers. This research is a classroom action research. Based on the research that has been done, it is known that the application of the Reciprocal Teaching model increases the mathematical reasoning ability of students in XI grade IPA 2 of SMA Negeri 8 Malang on the Trigonometry with an increase in class average from initial 73 to 60 in cycle I and to 73 in cycle II. In addition, the average percentage increase in students' mathematical reasoning also increased from 60% to 73%.


2018 ◽  
Vol 2 (2) ◽  
pp. 140
Author(s):  
Yuni Rhamayanti ◽  
Nurdalilah Nurdalilah

This research was conducted on junior high school students with the aim of improving mathematical reasoning abilities, student activity and student attitudes towards the application of open ended approach learning. This type of research is Classroom Action Research. The subject of this study is the eighth grade students of SMP Negeri 7 Padangsidimpuan 2017-2018 Academic Year, which are selected in class VIII-2 with a total of 24 students. The conclusions that can be drawn from this study are 1) increasing mathematical reasoning abilities through the application of mathematical learning with an open-ended approach to students of class VIII-2. The increase in students' mathematical reasoning abilities was obtained at 0.5 with the medium criteria, 2) increasing student learning activities through the application of mathematics learning with an open-ended approach to students of class VIII-2. The increase in student activity was obtained at 0.46 with moderate criteria, 3) increasing student attitudes towards mathematics through the application of mathematics learning with an open-ended approach to students of class VIII-2. The increase in student activity is 0.6 with moderate criteria.


Author(s):  
Siti Rahmah ◽  
Rahmah Johar ◽  
Saminan Saminan

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.


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>


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