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

<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>

2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba

<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.


Author(s):  
Hanifah Hanifah ◽  
Nanang Supriadi ◽  
Rany Widyastuti

Mathematical problem solving is a problem solving that uses mathematical problem solving. Students in the problem solving did not use the polya method so that students succeeded in difficulties. Educators still use conventional learning models so that students become bored, passive and reluctant to ask whether going forward working on the questions given by the educator, so that new learning models need to be applied. The e-learning learning model assisted with Edmodo learning media is an online presentation material on an Edmodo account using the mobile phone of students. PAM is the knowledge learned by students before getting learning material. This study aims to study the interaction of e-learning learning models assisted by Edmodo learning media to solve mathematical problems. This study is quantitative research. Data collection used with tests, interviews, collection and collection. The data analysis technique uses two-way anava test with cells that are not the same. From the results of the analysis, the influence of the e-learning learning model on mathematical problem solving abilities. It is necessary to question the high, medium, and low mathematical initial knowledge of Great mathematical problem solving ability, then there is no difference between assisted e-learning learning models edmodo, mathematical initial knowledge of mathematical problem solving abilities.


2019 ◽  
Vol 8 (3) ◽  
pp. 435-446
Author(s):  
Nur Asih ◽  
Sendi Ramdhani

AbstrakTujuan penelitian adalah untuk mengetahui apakah peningkatan kemampuan pemecahan masalah matematis siswa yang menggunakan model pembelajaran Means End Analysis (MEA) lebih baik dari pada konvensional, untuk mengetahui sikap kemandirian belajar siswa terhadap pembelajaran matematika menggunakan model pembelajaran Means End Analysis (MEA), dan untuk mengetahui hambatan siswa dalam menyelesaikan soal-soal kemampuan pemecahan masalah matematis. Metode penelitiannya adalah eksperimen kuasi dan desain penelitiannya Nonequivalent control group design. Populasi dalam penelitian ini adalah seluruh siswa kelas XI SMA PASUNDAN CIKALONGKULON dengan sampel sebanyak dua kelas. Teknik pengambilan sampel menggunakan teknik purposive sampling. Kelas XI MIPA-3 sebagai kelas eksperimen dan kelas XI MIPA-1 sebagai kelas kontrol. Instrumen berupa tes kemampuan pemecahan masalah matematis, angket dan wawancara. Berdasarkan hasil analisis data, peningkatan kemampuan pemecahan masalah matematis siswa yang menggunakan model pembelajaran Means End Analysis (MEA) lebih baik dari konvensional. Hasil angket siswa kelas XI MIPA-3 memperoleh hasil hampir seluruhnya positif respon siswa terhadap model pembelajaran Means End Analysis (MEA).Kata Kunci: Kemandirian, MEA, Pemecahan Masalah Matematis. Increased Mathematical Problem Solving Ability and Student Learning Independence Using the Means-End Analysis Learning Model AbstractThe purpose of this research is to find out whether the improvement of students 'mathematical problem-solving abilities using the Means-End Analysis (MEA) learning model is better than conventional learning, to determine the attitudes of students' learning independence towards mathematics learning using the Means-End Analysis (MEA) learning model, and to find out the obstacles of students in solving problems mathematical problem solving abilities. The research method is a quasi-experiment and the research design is Nonequivalent control group design. The population in this study were all students of class XI SMA PASUNDAN CIKALONGKULON with a sample of two classes. The sampling technique uses a purposive sampling technique. Class XI MIPA-3 as an experimental class and class XI MIPA-1 as a control class. The instruments were in the form of tests of mathematical problem-solving abilities, questionnaires, and interviews. Based on the results of data analysis, the improvement of students' mathematical problem-solving abilities using the Means-End Analysis (MEA) learning model is better than conventional. The results of the XI MIPA-3 class questionnaire obtained almost entirely positive student responses to the Means-End Analysis (MEA) learning model.Keywords: Independence, MEA, Mathematical Problem Solving.


2020 ◽  
Vol 11 (1) ◽  
pp. 159-166
Author(s):  
Syahfitri Purnama ◽  
Muawanah Muawanah ◽  
Tista Maya Surati ◽  
Rika Septianingsih

A learning can run well supported by an appropriate learning model. In this study the Search Solve Create Share (SSCS) and Think Pair Share (TPS) learning models are used. This research is a quantitative study using t test. The purpose of this study is to study whether there are differences between the SSCS learning model and the TPS learning model on students' mathematical problem solving abilities. This research is a quantitative study with a research design. Random Design Group Pretest-Posttest Group. The results of this study obtained a P-value smaller than the significance level. Hypothesis testing from this study provides conclusions about the TPS learning model better than the SSCS learning model in improving students' mathematical problem solving abilities.


2016 ◽  
Vol 7 (1) ◽  
pp. 101-106
Author(s):  
Putri Wulandari ◽  
Mujib Mujib ◽  
Fredi Ganda Putra

This study aims to determine the effect of mathematical problem solving ability of learners who follow the learning by using an instructional model of maple assisted software assisted, with learners who use, study group investigation model, as well as learners who follow the conventional learning model conducted by researchers on participants Students of class X SMK Muhammadiyah 1 Metro. This type of research is a quasi experimental research with posttest only control design design. Hypothesis test using a one-way anava test with unequal cells and obtained the conclusion that the model of group investigation learning is better than an instructional model of maple assisted software group and both models of learning is better than conventional learning model. Based on the results of analysis and discussion of research data obtained that there is an influence on the ability of solving mathematical problems among students in class applying group investigation model assisted maple software, students in class apply only group investigation learning model, and students whose class apply the conventional learning model on the principal Discussion of the matrix.


2018 ◽  
Vol 1 (3) ◽  
pp. 363-371
Author(s):  
Ahmad Kausar Raya ◽  
Sofyan M Soleh ◽  
Heny Wulandari

This study aims to determine the effect of the use of the super-scaled model of scaffolding on students' mathematical problem solving abilities. The sampling technique used was cluster random sampling with 3 classes namely experimental class 1 (the class was treated with scaffolding assisted superememe learning model), experimental class 2 (superitem learning only) and control class (the conventional treatment class). Hypothesis testing used is anava 1 cell path is not the same. The results of the study found that there were differences in students' mathematical problem solving abilities by using learning models of scaffolding assisted supermarkets. Furthermore, the mathematical problem solving ability of students with the super-intensive learning model assisted by scaffholding is the same as the mathematical problem-solving ability of students using superemit learning models. The mathematical problem solving ability of students with superficial learning models assisted by scaffholding is better than the students' mathematical problem-solving abilities using conventional learning models. Furthermore, the mathematical problem solving ability of students with superemit learning models is the same as the mathematical problem solving ability of students using conventional learning models.


2018 ◽  
Vol 1 (6) ◽  
pp. 1055
Author(s):  
Elza Efriyani Nursyifaa ◽  
Eka Senjayawati

The purpose of this research is to assess whether the improvement of students' mathematical problem solving skills using Problem Posing approach is better than those using ordinary learning. The population in this research is MTs Nurul Falah Cimahi. This research instrument in the form of a test of mathematical problem solving skills of five items. This research data is processed using software SPSS Version 22. Data analysis used is test of normality and test of two difference of mean. The result of this research stated that the achievement and improvement of problem solving skills of MTs students using Problem Posing approach is better than the normal learning, and the implementation using Problem Posing approach has been run in accordance with the learning procedure found and the difficulties experienced by students in solving the problem of solving skills mathematical problems are present in indicators of understanding problems, planning problems, implementing problem-solving plans, and re-examination.


2016 ◽  
Vol 1 (2) ◽  
pp. 93-102
Author(s):  
Luthfiyati Nurafifah ◽  
Elah Nurlaelah ◽  
Dian Usdiyana

The  purpose  of  this  research  is  to find out the increase of student’s mathematical problem solving competence through the implementation of Osborn Learning Model, as well as compare it with the  student  who  earned  conventional learning.    In  addition,  the  purpose  of this research is to find out the increase of mathematical  problem  solving  competence on a group of student with high, middle, and low capability. The next purpose is to find out the attitude of the students against the osborn learning model. Methods used in this research is quasi Experimenter Method with pretest and post-test Marginalized Control Design. Population on this research are all of  students  of  VIII  grades  in  SMPN  1 Bandung. Samples on this research are two classes   of   VIII   grades,   one   class   as Experimental Class and the other one as control    class.    Research    data    obtained through the test of student’s mathematical problem solving competence, questionnaire, and  observation  sheets.  The  result  of  this research shows that the increasing of student’s   mathematical   problem   solving competence with Osborn Learning Model better than   the increasing of student’s mathematical  problem  solving  competence with conventional learning. There are differences in the increasing competence on the groups of high capability, middle capability and low capability in osborn class and   conventional   class.   In   general,   the students  give  a  positive  attitude  against Osborn Learning Model.  


2018 ◽  
Vol 9 (1) ◽  
pp. 33 ◽  
Author(s):  
Agus Slamet Susanto ◽  
Haninda Bharata

The purpose of this research are: (1) to know the influence of Think Talk Write (TTW) model of learning ability to solve mathematical problems of learners; (2) to know the effect of learning habit on students' mathematical problem solving ability; (3) to know the interaction between learning model and study habit to students' mathematical problem solving ability. The type of research used is quasi experiment with 3 × 3 factorial research design. The hypothesis test used is a parametric test with data analysis technique using Anova test. The result of the research for the prerequisite test is based on normality test which can be known by using Liliefors test and homogeneity test can be known by using Barlett test, it is obtained that the test result data from both groups are normal and homogeneous, so it can be continued for parametric test by using anava test two paths with unequal cells. Based on data processing, it is found that: (1) there is influence of Think Talk Write (TTW) learning model to students' mathematical problem-solving ability; (2) there is the influence of learning habit on the ability of mathematical problem of learners; (3) there is no interaction between the learning model and the learning habits of the mathematical problems of the learners. This means that the learning model Think Talk Write (TTW) is more effective than the conventional model so that Think Talk Write (TTW) model more influence on the problem-solving ability of learners. 


2018 ◽  
Vol 4 (1) ◽  
Author(s):  
Kairuddin . .

ABSTRAK Tujuan dari penelitian ini untuk mengetahui perbedaan kemampuan pemecahan masalah matematika siswa yang memperoleh pembelajaran kontekstual dengan siswa yang memperoleh pembelajaran berbasis masalah yang dianalisis melalui lembar jawaban siswa Penelitian ini merupakan penelitian eksperimen semu. Populasi pada penelitian ini adalah siswa kelas VII SMP Negeri 1 Salapian dengan sampel penelitian adalah Kelas VII-B yang diberikan perlakukan pembelajaran kontekstual dan kelas VII-C yang diberikan perlakuan pembelajaran berbasis masalah. Terdapat perbedaan kemamuan pemecahan masalah matematika antara siswa yang memperoleh pembelajaran kontekstual dengan siswa yang memperoleh pembelajaran berbasis masalah. Pada penelitian ini didapat bahwa proses jawaban siswa yang memperoleh pembelajaran kontekstual lebih baik dari proses jawaban siswa yang memperoleh pembelajaran berbasis masalah.Kata kunci:   Pembelajaran kontekstual, pembelajaran berbasis masalah, kemampuanpemecahan masalah ABSTRACTThe purpose of this study is to determine the differences in mathematical problem solving abilities of students who obtain contextual learning with students who obtain problem-based learning which is analyzed through student answer sheets. This research is a quasi-experimental study. The population in this study was the seventh grade students of SMP Negeri 1 Salapian with a sample of the study was Class VII-B which was given the treatment of contextual learning and class VII-C given the treatment of problem-based learning. There are differences in the ability to solve mathematical problems between students who get contextual learning with students who get problem-based learning. In this study it was found that the answer process of students who get contextual learning is better than the answer process of students who get problem-based learning.Keywords: Contextual Learning, Problem Based Learning,Problem solving skill


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