scholarly journals PENDEKATAN MATEMATIKA REALISTIK UNTUK MEMBANGUN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS XI IPS PADA MATERI PELUANG [REALISTIC MATHEMATICS EDUCATION IN BUILDING THE MATHEMATICS PROBLEM-SOLVING ABILITIES OF GRADE 11 SOCIAL SCIENCE TRACK STUDENTS STUDYING PROBABILITY]

2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba
Keyword(s):  
Problem Solving ◽  
Social Science ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Problem Solving ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Mathematic Education ◽  
Realistic Mathematic ◽  
Grade 11

<p>This research aims to build students’ abilities in mathematical problem-solving and to explain the uniqueness of the steps of realistic mathematic education in building the problem-solving abilities of a grade 11 (social science track) class in the study of probability at one of the schools in Kupang. The observation results found that every student was having difficulties to solving the mathematical problems, particularly the narrative questions. The research method is Kemmis and Taggart model of Classroom Action Research which was conducted in three cycles, from October 4 to November 3 with twenty-four students. Triangulation had been done to every instrument of variable. The data of mathematical problem-solving was obtained from the students by using test sheets, questionnaires, and student’s discussion sheets. Meanwhile, the data of realistic mathematic education’s variable was obtained from three sources: mentors, two colleagues, and students that were using test sheets, questionnaires, and student’s discussion sheets. The results showed that the fourteen-steps of Realistic Mathematic Education that had been done were able to build mathematical problem-solving abilities of the students. This was evidenced through the increase of three indicators of mathematical problem-solving in every cycle. The average increase of indicators of mathematical problem-solving of the grade 11 students from the first to the third cycle was 10%. Therefore, it can be concluded that the Realistic Mathematics Approach can build the ability of problem-solving of grade 11 students in a social science track studying probability at one of the schools in Kupang.</p><strong>BAHASA INDONESIA </strong><strong>ABSTRACT</strong>: Penelitian ini bertujuan untuk membangun kemampuan pemecahan masalah matematis siswa dan menjelaskan kekhasan langkah-langkah pendekatan matematika realistik untuk membangun kemampuan tersebut di salah satu sekolah di Kupang kelas XI IPS pada materi peluang topik kaidah pencacahan. Pada hasil pengamatan ditemukan bahwa setiap siswa kesulitan dalam memecahkan masalah matematis khususnya soal berbentuk cerita. Metode penelitian yang digunakan adalah Penelitian Tindakan Kelas model Kemmis dan Taggart yang berlangsung selama tiga siklus, yaitu 04 Oktober – 03 November kepada 24 orang siswa. Triangulasi dilakukan pada setiap instrumen variabel. Data variabel kemampuan pemecahan masalah matematis diperoleh dari siswa menggunakan lembar tes, lembar angket, dan lembar diskusi siswa. Sedangkan data variabel tingkat pelaksanaan pendekatan matematika realistik diperoleh dari tiga sumber, yaitu mentor, dua orang rekan sejawat, dan siswa menggunakan lembar observasi, lembar angket, dan lembar wawancara. Hasil penelitian menunjukkan bahwa keempat belas langkah-langkah pendekatan matematika realistik yang terlaksana dengan baik sekali mampu membangun kemampuan pemecahan masalah matematis setiap siswa kelas XI IPS di salah satu sekolah di Kupang. Hal ini dinyatakan melalui peningkatan ketiga indikator pemecahan masalah matematis di setiap siklus. Peningkatan rata-rata indikator pemecahan masalah matematis siswa kelas XI IPS dari siklus pertama sampai ketiga adalah sebesar 10%. Oleh karena itu, dapat disimpulkan bahwa pendekatan matematika realistik dapat membangun kemampuan pemecahan masalah matematis siswa kelas XI IPS di salah satu sekolah di Kupang pada materi peluang topik kaidah pencacahan.

scholarly journals PENGARUH MODEL PEMBELAJARAN NUMBERED HEAD TOGETHER DAN REALISTICS MATHEMATIC EDUCATION TERHADAP KEMAMPUAN BERPIKIR KRITIS DAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA DI SMA NEGERI 11 MEDAN

2020 ◽  
Vol 9 (1) ◽  
pp. 99
Author(s):  
Nella Putriyani Siregar ◽  
Ella Andhany
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Learning Model ◽  
Functional Derivative ◽  
Mathematical Problem Solving ◽  
Mathematical Problems ◽  
Mathematic Education ◽  
Realistic Mathematic ◽  
Better Than

<p class="AfiliasiCxSpFirst" align="left"><strong>Abstrak:</strong></p><p class="AfiliasiCxSpMiddle">Penelitian ini bertujuan untuk mengetahui pengaruh kemampuan berpikir kritis dan kemampuan pemecahan masalah matematis siswa yang diajar dengan model pembelajaran <em>Numbered Head Together </em>dan model pembelajaran <em>Realistics Mathematic Education </em>di kelas XI SMA Negeri 11 Medan. Penelitian ini merupakan peneltian kuantitatif dengan jenis penelitian kuasi eksperimen. Populasi penelitian ini adalah seluruh siswa kelas XI SMA Negeri 11 Medan yang terdiri dari 2 kelas dan berjumlah 60 siswa, yang juga dijadikan sampel pada penelitian ini yakni sebagai sampel jenuh. Instrumen tes yang digunakan adalah dengan tes kemampuan berpikir kritis dan tes kemampuan pemecahan masalah berbentuk uraian. Analisis data dilakukan dengan analisis vaian (ANAVA). Hasil temuan ini menunjukkan: 1) Kemampuan berpikir kritis matematika siswa yang diajar dengan menggunakan model pembelajaran <em>Numbered Head Together</em> lebih baik dari pada siswa yang diajar dengan model pembelajaran <em>Realistics Mathematic Education </em>pada materi turunan fungsi; 2)Kemampuan pemecahan masalah matematika siswa yang diajar dengan menggunakan model pembelajaran <em>Numbered Head Together</em> tidak lebih baik dari pada siswa yang diajar dengan model pembelajaran <em>Realistics Mathematic Education </em>pada materi turunan fungsi; 3) Kemampuan berpikir kritis dan pemecahan masalah matematika siswa yang diajar dengan menggunakan model pembelajaran <em>Numbered Head Together</em> lebih baik dari pada siswa yang diajar dengan model pembelajaran <em>Realistics Mathematic Education </em>pada materi turunan fungsi; 4) Terdapat interaksi yang signifikan antara model pembelajaran yang digunakan terhadap kemampuan berpikir kritis dan pemecahan masalah matematika siswa pada materi turunan fungsi. Simpulan dalam penelitian ini menjelaskan bahwa kemampuan berpikir kritis dan pemecahan masalah matematika siswa lebih sesuai diajarkan dengan Model Pembelajaran <em>Numbered Head Together</em> dari pada Model Pembelajaran <em>Realistics Mathematic Education </em>pada materi turunan fungsi<em>.</em></p><p class="AfiliasiCxSpMiddle" align="left"><strong> </strong></p><p class="AfiliasiCxSpLast" align="left"><strong>Kata Kunci</strong>:</p><p>Kemampuan Berpikir Kritis, Kemampuan Pemecahan Masalah Matematis, Model Pembelajaran <em>Numbered Head Together</em>, Model Pembelajaran <em>Realistics Mathematic Education</em></p><p> </p><p class="AfiliasiCxSpFirst" align="left"><strong><em>Abstract:</em></strong></p><p class="AfiliasiCxSpMiddle"><em>This study aims to determine the effect of critical thinking skills and mathematical problem solving abilities of students who are taught with the Numbered Head Together learning model and the Realistic Mathematic Education learning model in class XI of SMA Negeri 11 Medan. This research is a quantitative research with the type of research that is quasi experiment. The population of this study was all students of class XI of SMA Negeri 11 Medan consisting of 2 classes and totaling 60 students, who were also sampled in this study as saturated samples. The test instrument used was a critical thinking ability test and a problem solving ability test in the form of a description. Data analysis was performed by analysis of variants (ANAVA). These findings show: 1) The ability to think critically the mathematics of students taught using the Numbered Head Together learning model is better than students taught with the Realistic Mathematic Education learning model on functional derivative material; 2) The ability to solve mathematical problems of students who are taught using the Numbered Head Together learning model is no better than students who are taught with Realistic Mathematic Education learning models on functional derivative material; 3) The ability to think critically and solve mathematical problems of students taught using the Numbered Head Together learning model is better than students taught with Realistic Mathematic Education learning models on functional derivative materials; 4) There is a significant interaction between the learning models used in critical thinking skills and students' mathematical problem solving on functional derivative material. The conclusion in this study explains that the ability to think critically and solve students' mathematical problems is more suitable to be taught with the Numbered Head Together Learning Model than the Realistic Mathematic Education Learning Model on functional derivative material.</em></p><p class="AfiliasiCxSpMiddle"><em> </em></p><p class="AfiliasiCxSpLast" align="left"><strong><em>Keywords</em></strong><em>:</em></p><p><em>Critical Thinking Ability, Mathematical Problem Solving Ability, Numbered Head Together Learning Model, Realistic Mathematic Education Learning Model</em></p>

scholarly journals Pengembangan Local Instructional Theory Pada Topik Pembagian dengan Pendekatan Matematika Realistik

2020 ◽  
Vol 4 (1) ◽  
pp. 01
Author(s):  
Ahmad Fauzan ◽  
Yerizon Yerizon ◽  
Fridgo Tasman ◽  
Rendy Novri Yolanda
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Problem Solving Skills ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Parametric Statistics ◽  
Instruction Theory ◽  
Local Instruction Theory

This research aimed to develop local instruction theory that is valid, practical, and effective to help elementary school students developing their mathematical problem-solving skills. Therefore a sequential activityis design on dailybasis to encourage students to develop their ability to solve mathematical problems, especially on the topic division. To achieve the goal, realistic mathematics approach was implemented to grade three elementary students in the learning process. The designed activities were validated by experts on the aspects of mathematical contents, language, didactical process based on realistic mathematical approach. Data were analyzed with descriptive statistics and parametric statistics. The validation results show that the local instruction theory was valid, and the implementation shows that the local instruction theory is practical and effective in improving students' mathematical problem-solving skills.

scholarly journals The description of students’ mathematical problem-solving skill and self-regulation

2017 ◽  
Vol 2 (1) ◽  
pp. 38
Author(s):  
Ani Nurwijayanti ◽  
Akhmad Jazuli ◽  
Erni Widyastuti
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Self Regulation ◽  
Mathematical Problem Solving ◽  
Term Result ◽  
Mathematics Problem Solving ◽  
Significant Difference ◽  
Mathematical Problems ◽  
Data Source ◽  
Mathematics Problem

<p class="Abstract">The research aimed to describe the students’ mathematics problem-solving skill and self-regulation in <em>SMP Negeri 8 Purwokerto</em> used Miles and Huberman’s model of cover reduction, serve, and conclusion. The data source of this research were eight graders of class F by using purposive sampling. The students grouped into three categories according to the mid-term result. The categories were: high, mediocre, and low scores. The data was collected using tests, questionnaire, interview, and documentation. This research concluded that the students’ mathematics problem-solving skill from those three categories was different. The high score students’ group had a better problem-solving skill compared to the students in the mediocre or the low categories. However, the self-regulation from these three groups did not have a significant difference. It was still at the developing level. Thus, it could be concluded that the students’ self-regulation did not affect the ability to solve mathematical problems.</p>

Penerapan Pembelajaran Matematika Realistik untuk Meningkatkan Kemampuan Pemecahan Masalah Matematik Siswa Di MIN 2 Padangsidimpuan

2020 ◽  
Vol 8 (01) ◽  
pp. 41-54
Author(s):  
Lili Nur Indah Sari
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Primary Data ◽  
Mathematical Problem Solving ◽  
Average Increase ◽  
Initial Test ◽  
Class V ◽  
Realistic Mathematics ◽  
Mathematical Problems

This study aims to improve the ability to solve mathematical problems with the application of realistic mathematics learning. From the students' initial abilities, it can be seen that students in class V MIN 2 Padang sidimpuan still have a fairly low average grade. The study used classroom action research as much as 2 cycles. The subjects of this study were students of class V MIN 2 Padangsidimpuan which were primary data. The research instrument in this study was a test of students' mathematical problem solving abilities and observation sheets. Based on the results of data analysis, it can be concluded that the average increase in students' mathematical problem solving ability from the initial test is 19.833 (19.833%) categorized as very poor to 51.083 (51.083%) which is not good enough in the first cycle and becomes 83.083 (83.083%) in the good category in the cycle II.

scholarly journals Students’ suspension of sense making in problem solving

ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi
Keyword(s):  
Problem Solving ◽  
Qualitative Study ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Critical Issue ◽  
Mathematical Problem Solving ◽  
Sense Making ◽  
Mathematical Problems

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.

scholarly journals Efektivitas Pembelajaran Matematika Realistik Terhadap Kemampuan Pemecahan Masalah Matematik Siswa Kelas VII SMP

2018 ◽  
pp. 1-9
Author(s):  
Ananda Ria Pertiwi Sinaga
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Learning Approaches ◽  
Learning Attitudes ◽  
Realistic Mathematics ◽  
Quasi Experimental ◽  
Academic Year

This study aims to (1) find out whether the mathematical problem-solving abilities of students who are taught by realistic mathematics learning were higher than those students who were taught using conventional learning; (2) knowing students' learning attitudes towards realistic mathematics learning approaches. This research is a quasi-experimental study with a quantitative approach. This research was conducted in class VII of the Junior High School 28 Medan 2017/2018 Academic Year where the population of this study was all class VII. Samples from this study were class VII-G as the experimental class and class VII-F as the control class. Based on the results of the analysis of calculations, the following data are obtained: (1) the results of analysis of realistic mathematical learning on students' mathematical problem-solving abilities using the t-test found that ttable = 1.68 and tcount = 3.6821 so tcount> ttable then concluded that H0 is rejected and Ha be accepted. The mathematical problem-solving abilities of students who are taught by realistic mathematics learning was higher than conventional learning. (2) student responses were very positive towards realistic mathematics learning with an average of ≥ 86.03.

scholarly journals THE INSTRUCTION TO OVERCOME THE INERT KNOWLEDGE ISSUE IN SOLVING MATHEMATICAL PROBLEM

2016 ◽  
Vol 1 (1) ◽  
pp. 16-25 ◽  
Author(s):  
Febrian Febrian
Keyword(s):  
Mathematics Education ◽  
Problem Solving ◽  
Prior Knowledge ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Realistic Mathematics Education ◽  
Literature Study ◽  
Realistic Mathematics ◽  
Knowledge Access

One characteristic of typical mathematical problem is that it requires bunch of relevant prior knowledge. This knowledge is built consecutively and is recalled whenever needed to promote student to solve the problem. The process undertaken by the solver to utilize existing relevant prior knowledge while solving the problem is called access. However, this access is possible subject to disturbance for some reasons. This literature study addresses some factors that can distract access: factor related to metaprocess and factor related to deficit structure. The variants included in both factors have been proved through research as the contributors of the accessibility of relevant prior knowledge. Knowledge that cannot be accessed is called inert knowledge, the main reason for why solver face the difficulty to find the answer to given mathematical problem. The explanation leads to the suggestion of how to tackle the inertia of particular knowledge. One of them are through the instruction setting. Realistic Mathematics Education as one of approaches in learning can be a possible alternative for the issue of inert knowledge. Keywords. Mathematical problem solving, prior knowledge, access, inert knowledge, Realistic Mathematics Education

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