Kemampuan Penalaran Matematis Siswa SMP dalam Menyelesaikan Soal HOTS Geometri

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>

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.


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.


Numeracy ◽  
2020 ◽  
Vol 7 (2) ◽  
Author(s):  
Orin Asdarina ◽  
Masriyah Ridha

The purpose of this study was to determine students’ mathematical reasoning abilities in solving PISA equivalent geometry content problems at the class VIII of SMP Negeri Unggul Tunas Nusa and these factors can influence students’ mathematical reasoning abilities in solving equivalent questions of PISA geometry content grade VIII of SMP Negeri Unggul Tunas Nusa. The research design used in this study was descriptive research. The subjects in this study were 30 students from grade VIII- SMP Negeri Unggul Tunas Nusa.  Data collection was obtained through the distributing of tests and interviews. From the results of the data analysis, it was concluded that the mathematical reasoning students’ ability in Solving on geometry content problems in grade VIII of SMP Negeri Unggul Tunas Nusa was in the very low category. The ability of students’ on mathematical reasoning at the indicator I was 21.56%, indicator II was 33.49%, indicator III was 16.11%, and indicator IV was 15.56%. The cause of the obstacles faced by students in solving geometry content material problems is that students were not accustomed to solving  non-routine questions, a little bit complicated, and require a high level of problem solving as the questions given to students were equivalent to PISA problems, the ability of students to mastery of the material is limited and cannot suitable to the concepts that have been studied with the problem being worked on. Abstrak Tujuan dari penelitian ini adalah untuk mengetahui kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri di kelas VIII SMP Negeri Unggul Tunas Nusa dan faktor-faktor yang mempengaruhi kemampuan penalaran matematis siswa dalam menyelesaikan soal setara PISA konten geometri kelas VIII SMP Negeri Unggul Tunas Nusa. Rancangan penelitian yang digunakan dalam penelitian ini merupakan penelitian deskriptif. Subjek dalam penelitian ini adalah 30 siswa dari kelas VIII-Nusa SMP Negeri Unggul Tunas Nusa. Pengumpulan data diperoleh melalui pemberian tes dan wawancara. Dari hasil analisis data, diperoleh kesimpulan bahwa kemampuan penalaran matematis siswa dalam mengerjakan soal konten geometri kelas VIII Nusa SMP Negeri Unggul Tunas Nusa berada dalam kategori sangat rendah. Kemampuan penalaran matematis siswa pada indikator I sebesar 21,56%, pada indikator II sebesar 33,49%, pada indikator III sebesar 16,11%, dan indikator IV sebesar 15,56%. Penyebab dari  kendala yang dihadapi siswa dalam menyelesaikan soal materi konten geometri adalah siswa tidak terbiasa menyelesaikan  soal-soal nonrutin, sedikit rumit, serta memerlukan tingkat pemecahan masalah yang tinggi seperti soal yang diberikan kepada siswa adalah soal setara PISA, kemampuan siswa dalam menguasai materi yang terbatas dan siswa tidak mampu mengaitkan konsep yang telah lama dipelajari dengan soal yang sedang dikerjakan. Kata Kunci : Kemampuan Penalaran Matematis, PISA


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 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.


2016 ◽  
Vol 13 (2) ◽  
Author(s):  
Dewi Suhartini Sinaga ◽  
Sumarsih Sumarsih

This study was aimed at examining the violations of conversational maxim in Satu Indonesia talk show. The objectives of this study were to examine the types of conversational maxim violations occurred in the talk show, to examine the realization of conversational maxim violations, and to elaborate the reasons. This study was conducted by descriptive qualitative method. The source of data was Satu Indonesia talk show. There were 44 episodes of Satu Indonesia talk show in 2014 which were consisted of 14 politics, 15 economics, and 15 socials. Then, the utterances of host and guests in 3 episodes of politics, 3 episodes of economics and 3 episodes of social were the data of this study. The technique of data collection was documentary technique and the instrument of data collection was recorder. The technique of data analysis was interactive model by Miles and Huberman. The findings showed that all conversational maxim violations. Quality maxim was dominantly violated in topic of politics; quantity maxim violation was dominantly violated in the topic of economics and social. Realizations of conversational maxim violations were realized through understatement, overstatement, contradiction, sarcasm, metaphor, associative clues, presupposition, personification, synecdoche, and analogy.   Key Words: Conversational Maxim, Maxim Violations, Talk Show


2019 ◽  
Vol 2 (2) ◽  
pp. 136
Author(s):  
Ahmad Subqi Arianto ◽  
Joko Sulianto ◽  
Mira Azizah

The objectives of this study are: (1) Describe the implementation of mathematics learning at Gayamsari 02 Semarang Elementary School (2) Describe the classification of mathematical reasoning abilities of fourth grade students at Gayamsari Elementary School 02 Even Semester 2018/2019. The method used in this study is a qualitative method. Research location at Gayamsari 02 Elementary School Semarang. Data collection is done through observation, questionnaires, interviews and documentation as well as for collecting data on mathematical reasoning abilities of students using test questions. The validity of the data is done by means of triangulation techniques. Based on the data analysis that has been done, mathematics learning is included in the good category with an average score above 3, mathematical reasoning classification data obtained the highest results of 56.41% and the lowest results of 10.25%, it can be concluded that the implementation of mathematics learning at SDN Gayamsari 02 Semarang shows good results, but for the results of tests on mathematical reasoning questions related to students' ability to reason with material in many aspects and flat build is still lacking


Author(s):  
Mariyam Mariyam ◽  
Rika Wahyuni ◽  
Muhammad Andre Setiawan

AbstractThis study aims to determine the mathematical reasoning abilities, activities and motivation of students by applying the Visualization Auditory Kinesthetic (VAK) learning model. This type of experimental research with the design of the Nonequivalent Pretest-Posttest Control Group Design. The experimental and control classes were given a pretest and a posttest to see the difference in improvement between the two. The population in this study were students of class VIII and the sample was not chosen purely randomly, namely by cluster random sampling (random class) and two classes were chosen. Data analysis using statistical tests namely Mann Whutney U-Test and descriptive analysis in the form of a percentage formula and the average score. The results of data analysis show that: (1) There is a difference in the increase in students' mathematical reasoning abilities, and the increase in the experimental class is higher than the control class; (2) Student learning activities in each indicator are in the very high category and the overall average is 88.075%; (3) The average student motivation in each indicator is in the high category and the overall student average is 4.00.Keywords: Visualization Auditory Kinesthetic, Reasoning, Activity, Motivation


2019 ◽  
Vol 4 (1) ◽  
pp. 137
Author(s):  
Mulkan Syah Riza

This study aims to explain how the distribution of productive zakat in the Rumah Zakat North Sumatra and how the effectiveness of productive zakat distribution in improving the welfare of mustahik in the Rumah Zakat North Sumatra. This study uses a qualitative approach with a type of descriptive method, which is a problem that guides researchers to explore and photograph situations that will be thoroughly investigated, broadly and deeply. Data collection techniques with field research, while the tools used are observation, interviews and documentation. Data analysis used is descriptive qualitative analysis. The results of this study inform that in distributing productive zakat funds, Rumah Zakat is in accordance with Law No. 23 of 2011 concerning Management of Zakat. The distribution of productive zakat carried out by the Rumah Zakat North Sumatra through the Senyum Mandiri Program to mustahik in Medan Helvetia Subdistrict has been effective, because it can improve the welfare of mustahik, this is evidenced by the income of eight of thirteen mustahik people in total, five people whose income is fixed and four out of eight people whose income has increased has reached the level of muzaki.


2018 ◽  
Vol 3 (2) ◽  
pp. 181
Author(s):  
Rahmat Rahmat

This study aims to determine the Tourist Perception of Bokori Island Tourism Object in Bokori Village, Soropia District of Konawe Regency. This study used descriptive qualitative method. Subjects in this study were tourists visiting attractions Bokori Island. Traveler sampling in this study set out in the quota sampling 50 respondents, in this study the sample collection technique by accidental sampling.Methods of  data collection using questionnaires, observation and documentation. Questionnaire data analysis in this research is the analysis presented in the table percentage and distribution. Based on the results obtained show that, according to the perception of tourists attractions of the Bokori Island (1) appeal to the average score - average rating of 3.31 with the perception of being in either category, (2) accessibility with a mean score - average of 3.40 with the perception of tourists are in good category, (3) visitor facilities with a mean score - average rating of 3.12 with the perception of being in either category, (4) infrastructure with a mean score - average 3.53 with the perception of tourists were in the excellent category, (5) security with a mean score - average of 3.24 with the perceptions of visitors are in good category, (6) the promotion with a mean score - average of 3.32 with the perceptions of visitors are in either category. Thus the perception of the overall rating showed a mean score - average rating of 3.32 with the perception of being in either category.


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