scholarly journals ANALYSIS OF MATHEMATIC REASONING ABILITY THROUGH OPEN-ENDED PROBLEMS IN CLASS XII ACCOUNTING 1 VOCATIONAL SCHOOL, DIPONEGORO SALATIGA STUDY YEAR 2020/2021

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.

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.


2021 ◽  
Vol 10 (2) ◽  
pp. 268
Author(s):  
Ana Siti Rosyidah ◽  
Erry Hidayanto ◽  
Makbul Muksar

<p><strong>Abstrak: </strong>Penelitian ini bertujuan untuk mendeskripsikan kemampuan penalaran matematis siswa dalam menyelesaikan soal <em>HOTS</em> geometri. Metode yang digunakan adalah kualitatif deskriptif. Penelitian dilaksanakan di SMPN 1 Madiun pada 32 siswa kelas IX H tahun ajaran 2020/2021. Selanjutnya, dipilih satu subjek pada masing-masing kategori yaitu kemampuan penalaran matematis tinggi, kemampuan penalaran matematis sedang, dan kemampuan penalaran matematis rendah untuk dilakukan analisis data dengan melihat kemampuan penalaran matematis siswa berdasarkan indikator; mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan. Teknik pengumpulan data dalam penelitian ini menggunakan tes dan wawancara. Hasil penelitian ini menunjukkan bahwa siswa yang mempunyai kemampuan penalaran kategori rendahmenuliskan jawaban dengan tidak tepat dan hanya memenuhi indikator penalaran matematis pertama yakni mengajukan dugaan. Siswa yang memiliki kemampuan penalaran matematis kategori sedang menjawab soal kurang lengkap dan memenuhi dua indikator penalaran matematis; mengajukan dugaan dan menarik kesimpulan. Siswa yang memiliki kemampuan penalaran matematis kategori tinggi menuliskan jawaban dengan tepat, lengkap dan memenuhi semua indikator penalaran matematis: mengajukan dugaan, melakukan manipulasi matematika, memberikan alasan atau bukti dan menarik kesimpulan.</p><p><strong>Kata kunci:</strong> Penalaran matematis; Soal <em>HOTS</em>, Geometri</p><p><strong>Abstract</strong>: This study aims to describe students' mathematical reasoning abilities in solving geometric HOTS problem. The method used is descriptive qualitative. The research was conducted at SMPN 1 Madiun on 32 students of class IX H for the 2020/2021 school year. Furthermore, one subject was selected in each category, namely high mathematical reasoning ability, medium mathematical reasoning ability, and low mathematical reasoning ability for data analysis by looking at students' mathematical reasoning abilities based on indicators; making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions. Data collection techniques in this study used tests and interviews. The results of this study indicate that students who have low category reasoning abilities write answers incorrectly and only satisfy the first mathematical reasoning indicator, namely making conjectures. Students who have the medium category of mathematical reasoning write answer incomplete and satisfy two indicators of mathematical reasoning; making conjectures and drawing conclusions. Students who have high category mathematical reasoning abilities write answers accurately, completely and satisfy all indicators of mathematical reasoning: making conjectures, performing mathematical manipulations, providing reasons or evidence and drawing conclusions.</p><p><strong>Key words: </strong>Mathematical reasoning; HOTS Problem, Geometry<strong></strong></p>


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 12 (1) ◽  
pp. 66
Author(s):  
Lailin Hijriani ◽  
Susiswo Susiswo

The aim of this study is to describe the mathematical reasoning ability of students at TSM major (Motorcycle Engineering) Darul Karomah Singosari on square root material. This study applies descriptive qualitative approach, data was collected using test instrument that has been tested on three research subjects, and analyzed using qualitative descriptive technique. The results show that low- ability (Kemampuan Rendah) subject is the student with less mathematical reasoning ability because the subject has not been able to solve the five existing indicators of mathematical reasoning, middle- ability (Kemampuan Sedang) subject include student with moderate mathematical reasoning ability (although the subject has not fulfilled the five indicators of mathematical reasoning requirements), this can be seen from his effort to make a mathematical assumption even though the conjecture made was not correct, and high- ability (Kemampuan Tinggi) subject refers to the student with high mathematical reasoning ability because he can fulfill two of the five indicators of mathematical reasoning.


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.


2021 ◽  
Vol 3 (1) ◽  
pp. 54-61
Author(s):  
Veronica Veronica Siskanti

The aims of this study is to describe students' mathematical reasoning skills in solving problems on relationship materials and functions. Research method is used descriptive qualitative. The research subjects consisted of six students of grade VIII SMP Negeri 51 Palembang with two students with high ability, two medium students and two students with low ability. Data collection is carried out by providing 5 points about tests, interviews, and documentation. This study, using 5 indicators of reasoning, namely analysis, synthesis, generalization, problem solving is not routine, and justification / proof. The results showed that students who have high ability are mostly able to fulfill all aspects of mathematical reasoning ability. As for students who have moderate ability is able to meet two to three aspects of the students' mathematical reasoning ability only. Then for students who have low ability is only able to meet one to two aspects of the student's mathematical reasoning ability. 


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 10 (1) ◽  
pp. 16
Author(s):  
Sri Maryani ◽  
Bq Desi Milandari ◽  
Murti Sari Dewi

Abstrak: Penelitian ini bertujuan untuk mendeskripsikan kemampuan menelaah dan merevisi teks deskripsi pada siswa kelas VII SMP. Objek dalam penelitian ini berjumlah 29 siswa. Metode pengumpulan data dalam peneltian ini terdiri dari metode observasi, metode tugas, dan metode dokumentasi. Analisis data menggunakan metode deskriptif kuantitatif dan hasil analisisnya disajikan dalam bentuk angka dan dijelaskan dalam suatu uraian dengan rumus Penilaian Acuan Patokan (PAP). Berdasarkan hasil penelitian maka diperoleh kesimpulan bahwa kemampuan menelaah dan merevisi teks deskripsi pada siswa tergolong normal, dengan rincian 41% siswa berkemampuan tinggi, 59% siswa berkemampuan sedang, 0% berkemampuan rendah, dan diperoleh IPK 65 yang berkisar antara 55 sampai dengan 65.Abstract: This study aims to describe the ability to review and revise the description text in class VII SMP students. The objects in this study were 29 students. The method of data collection in this study consisted of observation methods, task methods, and documentation methods. Data analysis uses quantitative descriptive method and the results of the analysis are presented in numerical form and explained in a description using the Standard Reference Assessment (PAP) formula. Based on the results of the study, it can be concluded that the ability to review and revise the description text in students is classified as normal, with the details 41% of high-ability students, 59% of students with moderate ability, 0% of low ability, and 65 GPA which ranges from 55 to 65.


Author(s):  
Ibnu Raash Aleslami ◽  
Ani Minarni ◽  
KMS. M. Amin Fauzi

This study aims to analyze the validity and effectiveness of teaching materials developed based on a realistic mathematical approach in improving students 'mathematical reasoning and representation abilities, to analyze the increase in students' reasoning skills and mathematical representation abilities taught using teaching materials based on realistic mathematical approaches. The data were obtained through the validation sheet of teaching materials, observation sheets, student response questionnaires, mathematical reasoning ability test instruments and mathematical representation ability tests. This study uses a 4-D development model Thiagarajan, Semmel and Semmel by developing teaching materials with a realistic mathematical approach. Based on the results of the validation, the total average value of the RPP validity was 4.81, the student books were 4.83 and the LKPD was 4.85, the students' mathematical reasoning ability tests and the mathematical representation ability tests were in the valid category. Classical mastery of learning reaches 90.62% which has met the completeness criteria, namely ≥85% of students have reached the KKM. The increase in students' mathematical reasoning abilities using teaching materials based on a realistic mathematical approach on fraction material seen from N-Gain in the first trial and second trial has increased from 0.36 to 0.50 meaning that it is in the medium category. As well as an increase in the ability of students' mathematical representation using teaching materials based on a realistic mathematical approach on fraction material seen from N-Gain in the first trial and second trial, it increased from 0.43 to 0.50, meaning that it was in the medium category.


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