scholarly journals Tinjauan Kemampuan Awal Matematis dalam Kemampuan Pemecahan Masalah pada Pembelajaran Berbasis Masalah melalui Menulis Matematika

Author(s):  
Riki Andriatna

ABSTRAK Penelitian ini bertujuan untuk melihat pengaruh model pembelajaran berbasis masalah yang dikombinasikan dengan menulis matematika terhadap kemampuan pemecahan masalah dengan tinjauan kemampuan awal matematis siswa dengan kategori tinggi, sedang, dan rendah. Penelitian ini merupakan penelitian kuasi eksperimen dengan menggunakan satu kelompok eksperimen dengan perlakukan model pembelajarann berbasis masalah yang dikombinasikan dengan menulis matematika dan satu kelompok kontrol yang hanya diberikan perlakukan model pembelajaran berbasis masalah. Metode pengumpulan data terdiri dari tes kemampuan pemecahan masalah matematis. Teknik analisis data menggunakan analisis variansi dua jalan sel tidak sama. Hasil penelitian menunjukkan bahwa kemampuan pemecahan masalah siswa yang menggunakan model pembelajaran berbasis masalah yang dikombinasikan dengan menulis matematika lebih baik daripada kemampuan pemecahan masalah siswa yang hanya menggunakan model pembelajaran berbasis masalah secara umum maupun berdasarkan kategori kemampuan awal matematis. Ditinjau dari kategori kemampuan awal matematis, siswa kategori tinggi dan sedang menunjukkan tidak adanya perbedaan kemampuan pemecahan masalah yang signifikan, sedangkan kemampuan pemecahan masalah siswa kategori tinggi dan sedang lebih baik jika dibandingkan dengan kemampuan pemecahan masalah siswa kategori rendah. Kata kunci: pembelajaran berbasis masalah, menulis matematika, kemampuan pemecahan masalah, kemampuan awal matematis.   ABSTRACT This study aims to look at the effect of problem-based learning models combined with mathematical writing on problem solving abilities with a review of students' mathematical early capabilities in high, medium, and low categories. This research is a quasi-experimental study using one experimental group with the treatment of problem-based learning models combined with writing mathematics and a control group that is only given the treatment of problem-based learning models. Data collection methods consist of tests of mathematical problem solving abilities. Data analysis techniques using two path analysis of variance are not the sam cell. The results showed that the problem-solving ability of students who use problem-based learning models combined with writing mathematics is better than the problem-solving abilities of students who only use problem-based learning models in general or by the category of mathematical early ability. Judging from the early mathematical ability category, high and medium category students showed no significant difference in problem solving abilities while the problem solving ability of high and medium category students was better when compared to the problem solving ability of low category students. Keywords: problem based learning, writing mathematics, problem solving ability, mathematics early ability.

2017 ◽  
Vol 1 (2) ◽  
pp. 200-210
Author(s):  
Rivdya Eliza ◽  
Fitri Aulia

The purpose of this research are: 1) to know the learning activity of learners mathematics which is taught by Search, Solve, Create, and Share (SSCS), and 2) model to know the ability of problem solving of mathematics learners who taught by SSCS learning model in the class XI MIA MAN 1 Muara Labuh academic year 2016/2017. This research belongs to a kind of quasi-experimental research with randomized control group only design. In this study design, a group of subjects taken from a particular population were randomly assigned into two groups, the experimental group and the control group. After analyzing the data, it is known that the learning activity of the students after applying the SSCS learning model has improved towards the better from the first meeting to the fifth meeting, ie 35%, 45%, 55%, 68%, 77%. Based on the hypothesis test obtained ttable = 1.645 and tcount = 2.598 so obtained (2.598> 1.645) at 95% confidence interval. Because tcount > ttable then hypothesis in this research accepted. Thus, students 'math-problem-solving skills taught by SSCS learning models are higher than the students' uneducated mathematical problem-solving skills with SSCS learning modelsKeywords: Problem solving abilities, search, solve, sreate and share (SSCS) learning models


2020 ◽  
Vol 2 (1) ◽  
pp. 56
Author(s):  
Sitti Rahmah Tahir

One ability that students must master is problem solving. Increasing students’ problem-solving ability will improve their mindset. The alternative used to increase students’ problem-solving ability is applying Problem Based Learning model. This study aims to understand the presence or absence of the application of the model of the application of Problem Based Learning to the problem solving of students of class VII PGRI (Equated) Sungguminasa. This type of research is a quasi-experimental design of the Control Posttest Group. The population in this study in all VII class SMP PGRI (Disamakan) Sungguminasa and selected class VII A as an experimental class with consultations with the Problem Based Learning model and class VII C as a control class with training in direct learning models involving the community. The technique of collecting data in this study is the test then analyzed with descriptive and inferential statistics using the t test (Independent Sample t-test). Based on the results of the study concluded that the Problem Based Learning model determines the problem-solving abilities of students of class VII SMP PGRI (Disamakan) Sungguminasa.AbstrakSalah satu kemampuan yang harus dikuasai oleh siswa adalah pemecahan masalah. Meningkatkan kemampuan siswa dalam memecahkan masalah akan berpengaruh pada peningkatan mindset siswa. Salah satu cara yang digunakan untuk meningkatkan kemapuan pemecahan masalah siswa adalah dengan mengaplikasikan model Problem Based Learning. Penelitian ini bertujuan untuk mengetahui ada tidaknya pengaruh penerapan model Problem Based Learning terhadap kemampuan pemecahan masalah matematika siswa kelas VII SMP PGRI (Disamakan) Sungguminasa. Jenis penelitian ini adalah quasi eksperimen dengan desain Control Group Posttest Design. Populasi dalam penelitian ini seluruh kelas VII SMP PGRI (Disamakan) Sungguminasa dan terpilih kelas VII A sebagai kelas eksperimen dengan perlakuan model Problem Based Learning dan kelas VII C sebagai kelas kontrol dengan perlakuan model pembelajaran langsung yang mewakili populasi. Teknik pengumpulan data dalam penelitian ini yaitu tes kemudian dianalisis dengan statistik deskriptif dan inferensial menggunakan uji t (Independent Sample t-test). Berdasarkan hasil penelitian disimpulkan bahwa model Problem Based Learning berpengaruh terhadap kemampuan pemecahan masalah matematika siswa kelas VII SMP PGRI (Disamakan) Sungguminasa.


2019 ◽  
Vol 4 (2) ◽  
pp. 203-214
Author(s):  
Syamsul Huda ◽  
Muhammad Syahrul ◽  
Mu'min Firmansyah ◽  
Rahmi Ramadhani ◽  
Andika Eko Prasetiyo

The purpose of this study was to analyze the mathematical problem-solving ability and characters of students who were taught using problem-based learning and ordinary learning based on Islamic perspectives. The instrument used in this study was a test of problem-solving ability and a students’ character questionnaire. This research was a quasi-experimental research with pre-test and post-test control group design. The sample of this research was 84 students from Private Islamic School in Medan, North Sumatera, by using a purposive sampling technique. The data in this research was declared homogenous and normal after being tested using the Levene’s Test and Kolmogorov-Smirnov Test. The hypothesis analyzes used was the Two Way-ANOVA test assisted by SPSS 25. The result showed that there was an improvement in mathematical problem-solving ability and students' characters through problem-based learning based on Islamic perspectives. However, there was no interaction between students' gender and problem-solving ability and character improvement based on Islamic perspectives. The gender factor in problem-based learning was not related to students’ cognitive and affective aspects. Each student with any gender had difference characters, especially related to Islamic perspectives. This research-proven that problem-based learning model had an important role in teaching and learning, and it can be used to improve students' mathematical and character problem-solving ability.


2016 ◽  
Vol 13 (1) ◽  
pp. 209
Author(s):  
Gülhiz Pilten ◽  
Pusat Pilten

<p>The aim of this study was to determine the effect of mathematical writing activities on 3<sup> rd</sup> grade students' mathematical problem solving and posing skills. Therefore this study was done by using quasi-experimental model with pretest-posttest control group. Research was conducted in 2014- 2015 Education Year Spring Semester. The study group of the research consists of totally 66 3<sup>rd</sup> grade students At the experimental group, the activities of 3<sup>rd</sup> grade mathematics curriculum and 3<sup> rd</sup> grade mathematic text book are applied. In addition to these activities, mathematical writing activities put into application to the experimental group. However to the control group only the activities of 3<sup>rd</sup> grade mathematics curriculum and 3<sup>rd</sup> grade mathematic text book are applied.  All groups' applications lasted for 8 weeks. As a result of this study, it was seen that, at the end of the experimental processes, there is a meaningful statistical difference between experiment group and control group, among problem solving and problem posing skills of students in experiment’s group favour. This result is supporting the relevant literature.</p><p> </p><p><strong>Özet</strong></p><p>Bu araştırmanın amacı, matematiksel yazma etkinliklerinin, ilkokul 3. sınıf öğrencilerinin matematiksel problem çözme ve kurma becerileri üzerindeki etkilerini belirlemektir. Bu yönüyle çalışmada, ön test-son test kontrol gruplu deneme modeli kullanılmıştır. Çalışma 2014-2015 bahar yarıyılında gerçekleştirilmiş olup çalışma grubunu toplam 66 3. sınıf öğrencisi oluşturmaktadır. Deney grubunda deneysel işlem sürecinde ilköğretim matematik öğretim programında ve ders kitabında ön görülen etkinliklere ek olarak matematiksel yazma etkinlikleri gerçekleştirilmiştir. Kontrol grubunda ise 3. sınıf matematik programı ve ders kitabında yer verilen etkinliklere bağlı kalınmıştır. Uygulamalar 8 hafta sürmüştür. Araştırma sonuçları, deneysel işlem süreci sonunda deney ve kontrol grubunda yer alan öğrencilerin problem çözme ve kurma becerileri bakımından karşılaştırıldığında, deney grubu lehine istatistiksel olarak anlamlı düzeyde bir farklılık olduğunu göstermektedir. Bu sonuç ilgili literatürü destekler niteliktedir.</p>


2019 ◽  
Vol 10 (2) ◽  
pp. 146-152
Author(s):  
Indhira Asih Vivi Yandhari ◽  
Trian Pamungkas Alamsyah ◽  
Dede Halimatusadiah

Penelitian ini dilatarbelakangi dengan rendahnya kemampuan pemecahan masalah matematis siswa serta strategi pembelajaran yang masih bertumpu pada guru. Salah satu alternatifnya yakni diterapkalah strategi pembelajaran Problem Based Learning, karena strategi ini diharapakan dapat meningkatkan kemampuan pemecahan masalah matematis siswa. Penelitian ini memiliki tujuan untuk mengetahui pencapaian akhir dan peningkatan kemampuan pemecahan masalah matematis siswa yang menggunakan strategi pembelajaran Problem Based Learning lebih baik dari pada siswa yang menggunakan strategi pembelajaran Inkuiri. Metode penelitian yang digunakan adalah quasi ekperiment dengan desain non-equivalent control group. Teknik sampel menggunakan teknik purposive sampling, dimana kelas IV-A sebagai kelas ekperimen dan kelas IV-B sebagai kelas kontrol. Hasil analisis data menunjukan rata-rata skor posttest kelas ekperimen 75,03 dan kelas kontrol 68,7. Rata-rata data Gain kelas ekperimen 0,59 dan kelas kontrol 0,51. Hasil analisis tersebut memberikan kesimpulan bahwa pencapaian akhir dan peningkatan kemampuan pemecahan masalah matematis siswa kelas ekperimen lebih baik daripada kelas kontrol.The research is motivated by the low mathematical problem solving abilities of students and learning strategies that are still based on the teacher. One of the alternative is to apply the learning strategies of Problem Based Learning, because this strategy is expected to improve students' mathematical problem solving abilities. This study has a goal whether the final achievement and improvement of students' mathematical problem solving abilities using Problem Based Learning learning strategies is better than students who use Inquiry learning strategies. The research method used was a quasi experiment with a non-equivalent control group design. The sample technique used purposive sampling technique, where class IV-A as the experimental class and class IV-B as the control class. The results of data analysis showed an average posttest score of experimental class 75.03 and control class 68.7. The average Gain data of the experimental class is 0.59 and the control class is 0.51. The results of the analysis provide the conclusion that the final achievement and improvement of experimental class mathematical problem solving abilities are better than the control class. 


2021 ◽  
Vol 10 (3) ◽  
pp. 471-482
Author(s):  
Meta Yulia Sari ◽  
Erlina Prihatnani

AbstrakPentingnya kemampuan pemecahan masalah dalam pembelajaran matematika belum diikuti dengan pencapaian yang baik. Penelitian ini bertujuan menerapkan model pembelajaran Problem Solving dan Problem Posing serta menguji ada tidaknya perbedaan kemampuan pemecahan masalah dari kedua model tersebut. Penelitian dilaksanakan pada kelas X salah satu SMA Negeri di Salatiga dengan materi trigonometri. Sampel sebanyak 53 siswa, terbagi dalam dua kelompok eksperimen. Penelitian ekperimen semu ini menggunakan desain randomaized control group pretest-postest design, dengan instrumen berbentuk tes kemampuan pemecahan masalah dan lembar observasi. Analisis data menggunakan kovariansi pada taraf signifikan 𝛼 = 5% dengan kemampuan awal sebagai variabel kovarian. Hasil uji hipotesis menyimpulkan bahwa dengan mengontrol kemampuan awal siswa didapat bahwa siswa yang melaksanakan model pembelajaran Problem Posing secara signifikan memiliki kemampuan pemecahan masalah matematika yang lebih baik dibandingkan siswa yang melaksanakan model pembelajaran Problem Solving. Hasil ini menunjukkan pembelajaran hendaknya tidak hanya melatih siswa menyelesaikan masalah tetapi juga mengkonstruksi permasalahan. Differences in problem-solving abilities from the application of problem-solving and problem-posing in high school studentsAbstractThe importance of problem-solving abilities in mathematics learning has not been automatically followed by good achievement. This study aims to apply Problem Solving and Problem Posing learning models and to test whether there are differences in the problem-solving abilities of the two learning models. This research was conducted in class X mathematics learning at one of the public high schools in Salatiga on Trigonometry material. This quasi-experimental study used a randomized control group pretest-posttest design, with instruments in the form of problem-solving ability tests and observation sheets. The data analysis used was the covariance test at the significant level α = 5% with the initial ability as a covariate variable. The results of hypothesis testing with covariance analysis concluded that by controlling students' initial abilities it was found that there were significant differences in mathematical problem-solving abilities between the application of the two models. Students who carry out the Problem Posing learning model significantly have better mathematical problem-solving abilities than students who carry out the Problem-Solving learning model. These results indicate that learning should not only train students to solve problems but also construct problems.


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


Author(s):  
Sutrisno Sutrisno ◽  
Nita Zuliyawati ◽  
Rina Dwi Setyawati

Penelitian ini dilatar belakangi dengan pentingnya kemampuan pemecahan masalah matematis siswa. Tujuan penelitian ini untuk mengetahui efektivitas model Problem Based Learning dan model Cooperative Learning tipe Think Pair Share berbantuan geogebra. Jenis penelitian yang digunakan adalah penelitian eksperimen. Metode pengumpulan data terdiri dari dokumentasi, tes, dan observasi. Analisis data dalam penelitian ini digunakan analisis variansi, regresi, dan uji proporsi. Hasil penelitian ini menunjukkan bahwa siswa yang mendapat model PBL berbantuan geogebra memiliki kemampuan pemecahan masalah matematis sama dengan siswa yang mendapat model TPS berbantuan geogebra, dan kedua model pembelajaran tersebut menghasilkan kemampuan pemecahan masalah matematis siswa lebih baik daripada model pembelajaran konvensional. Hasil penelitian juga menunjukkan bahwa pada model PBL dan TPS berbantuan geogebra, terdapat pengaruh keaktifan belajar siswa dengan kemampuan pemecahan masalah matematisnya. Model PBL dan TPS berbantuan geogebra juga menghasilkan kemampuan pemecahan masalah yang memenuhi ketuntasan klasikal. Kata kunci: Problem Based Learning, Think Pair Share, kemampuan pemecahan masalah matematis.   ABSTRACT This research is motivated by the importance of students' mathematical problem solving abilities. The purpose of this study was to determine the effectiveness of the Problem Based Learning model and the Cooperative Learning model Think Pair Share type assisted by geogebra. The type of research used is experimental research. Data collection methods consist of documentation, testing, and observation. Data analysis in this study used analysis of variance, regression, and proportion test. The results of this study indicate that students who get geogebra-assisted PBL models have the same mathematical problem solving abilities as students who get geogebra-assisted TPS models, and both of these learning models produce students' mathematical problem-solving abilities better than conventional learning models. The results also showed that in the PBL and TPS models assisted by geogebra, there was an influence on students' learning activeness with their mathematical problem solving abilities. The geogebra-assisted PBL and TPS models also produce problem-solving abilities that meet classical completeness. Keywords: Problem Based Learning, Think Pair Share, mathematical problem solving abilities.


2020 ◽  
Vol 4 (3) ◽  
pp. 584 ◽  
Author(s):  
Elmiwati Elmiwati ◽  
Kartini Kartini ◽  
Zulkarnain Zulkarnain

The ability to solve mathematical problems is a very important part that must be owned and developed by students in learning mathematics. However, generally Indonesian students' abilities are very low in understanding complex information and problem solving. Therefore, this article aims to know: 1) the increase in Mathematical Problem Solving Ability (MPSA) of students who get Problem Based Learning (PBL) better than students who get conventional learning with a scientific approach is reviewed overall and based on KAM levels; 2) find out the interaction between PBL and conventional models with KAM level to MPSA; 3) the difference in MPSA increase of students who get PBL learning in terms of KAM level. The research method used was a quasi-experimental research design with a pretest-posttest control group design. The sample of 6 grade students of SMAN 2 Bangkinang Kota class XI totaling 183 students. The instrument in this article is a MPSA test using t-test, two-way ANOVA test and one-way ANOVA test. The results in this study were: 1) the increase in MPSA of students who received PBL learning was better than students who received conventional learning in terms of overall and KAM; 2) there is a significant interaction between PBL and conventional models with KAM level to MPSA; and 3) there is a difference in the increase in MPSA of students who get PBL learning in terms of KAM level significantly.


2020 ◽  
Vol 2 (2) ◽  
pp. 131-141
Author(s):  
Ika Risti Nurhaliza ◽  
Isnaeni Maryam

The purpose of this study was to determine whether the mathematics problem-solving abilities of students who received the Missouri Mathematics Project (MMP) learning model were better than the mathematics problem-solving abilities of students who received the Problem Solving learning model. The research was conducted at MTs Al-Iman Bulus Purworejo class IX A and IX B. The research method used was a quasi-experimental design, which refers to the instrument of students' mathematical problem-solving abilities. The study population came from grade IX students, with a total of 401 students. The sampling technique was cluster random sampling. The prerequisite test of normality, homogeneity, and balance before treatment showed that the data were normally distributed, homogeneous, and balanced. The prerequisite test for normality and homogeneity of the data after treatment showed that the data were normally distributed and homogeneous. The hypothesis test calculation using the t-test obtained of 2,2431 and with α = 5% ( ) of 1,6667. Based on the hypothesis testing results, the value of then is rejected; this means that the problem-solving ability of students who receive the MMP learning model is better than students who receive the Problem Solving learning model.


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