Integrating Problem Posing into Mathematical Problem Solving: An Experimental Study

Author(s):  
Chunlian JIANG ◽  
Boon Liang CHUA
2015 ◽  
pp. 333-354 ◽  
Author(s):  
Roslinda Rosli ◽  
Mary Margaret Capraro ◽  
Dianne Goldsby ◽  
Elsa Gonzalez y Gonzalez ◽  
Anthony J. Onwuegbuzie ◽  
...  

2018 ◽  
Vol 6 (1) ◽  
pp. 93-104
Author(s):  
Deddy Sofyan ◽  
Sukanto Sukandar Madio

Tujuan penelitian ini adalah untuk meningkatkan kemampuan siswa SMA dalam pemecahan masalah dan komunikasi matematik melalui pendekatan problem posing dalam pembelajaran matematika. Metode penelitian yang digunakan adalah metode kuasi eksperimen. Populasi penelitian ini adalah siswa di salah satu SMA Negeri di Kabupaten Garut. Sampel penelitian dipilih secara acak berdasarkan kelas, sampelnya adalah kelas XII IPA 1 yang mendapat pembelajaran menggunakan pendekatan problem posing dan siswa kelas XII IPA 3 yang mendapat pembelajaran konvensional. Simpulan hasil penelitian ini adalah bahwa dalam pembelajaran matematika di SMA: 1. Kemampuan pemecahan masalah matematik siswa yang mendapatkan pendekatan problem posing lebih baik dibandingkan dengan konvensional, 2. Tidak terdapat perbedaan kemampuan komunikasi matematik antara siswa yang mendapatkan pendekatan problem posing dengan konvensional, 3. Tidak terdapat kaitan yang signifikan antara kemampuan pemecahan masalah matematik dengan kemampuan komunikasi matematik pada siswa yang mendapatkan pendekatan problem posing. The purpose of this research is to improve the ability of high school students in problem solving and communication of mathematics through problem posing approach to learning mathematics. The method used is a quasi-experimental method. The study population was one of the students in high schools in Garut. Samples were selected randomly based on the class, the sample is a class XII IPA 1 gets learning using problem posing approach and class XII IPA 3 students who received conventional learning. Conclusion The results of this study is that the study of mathematics in high school: 1. mathematical problem solving ability of students to get a better problem posing approach compared to conventional, 2. there is no difference in the ability of mathematical communication between students who received conventional approach to problem posing, 3. there was no significant association between mathematical problem solving skills with communication skills in students who get a mathematical problem posing approach.


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.


2020 ◽  
Vol 9 (2) ◽  
pp. 323-334
Author(s):  
Hodiyanto Hodiyanto ◽  
Yudi Darma ◽  
Syarif Restian Sarisma Putra

AbstrakTujuan penelitian ini ingin menghasilkan media pembelajaran macromedia flash bermuatan problem posing terhadap kemampuan pemecahan masalah matematis yang mencapai kriteria valid, kepraktisan, dan keefektifan. Metode penelitian ini adalah penelitian pengembangan dengan model rancangan 4-D oleh Thiagarajan, yaitu Define, Design, Develop, dan Desseminate. Tetapi pada penelitian ini hanya pada tahap pengembangan saja. Subjek dalam penelitian ini adalah siswa kelas VIII SMP Negeri 5 Sukadana sebanyak 20 siswa, ahli dan guru. Instrumen yang digunakan dalam penelitian ini adalah lembar validasi, angket dan soal posttest. Berdasarkan hasil penelitian diperoleh hasil validasi macromedia flash bermuatan problem posing memiliki kriteria sangat valid. Tingkat kepraktisan terhadap macromedia flash bermuatan problem posing memiliki kriteria sangat praktis, tingkat keefektifan terhadap macromedia flash bermuatan problem posing tergolong kriteria sangat efektif. Dengan demikian dapat disimpulkan bahwa macromedia flash bermuatan problem posing yang dikembangkan dapat digunakan karena memenuhi kriteria kevalidan yang sangat valid, kepraktisan yang sangat praktis, dan keefektifan yang efektif. AbstractThe purpose of this study is to produce Macromedia flash learning media containing problem posing to mathematical problem-solving abilities that reach valid criteria, practicality, and effectiveness. This research method is a research development with a 4-D design model by Thiagarajan: Define, Design, Develop, and Disseminate. But this research is only at the development stage. The subjects in this study were 20th-grade students of SMP Negeri 5 Sukadana, experts, and teachers. The instruments used in this study were validation sheets, questionnaires, and posttest questions. Based on the research results obtained by the results of validation Macromedia flash loaded posing problem has very valid criteria. The level of practicality with problem-posing Macromedia flash has very practical criteria, the level of effectiveness with problem-posing Macromedia flash is classified as very effective criteria. Thus it can be concluded that Macromedia flash with posing problem developed can be used.


2018 ◽  
Vol 5 (3) ◽  
pp. 269-280 ◽  
Author(s):  
Ekasatya Aldila Afriansyah

AbstrakKemampuan problem solving dan problem posing matematis merupakan kemampuan matematis yang perlu dimiliki oleh mahasiswa. Melalui kedua kemampuan ini, seorang mahasiswa dapat lebih kreatif dalam mengungkapkan ide serta gagasannya dengan cara menghubungkan pengetahuan yang dia peroleh sebelumnya dan mengaitkannya dengan pengetahuan yang dia diperoleh sekarang; serta mampu menuangkan gagasan/ide dalam menyelesaikan persoalan matematis yang dihadapinya. Namun pada kenyataannya, masih banyak mahasiswa yang belum memiliki kedua kemampuan ini, sehingga perlu diadakan perbaikan pembelajaran melalui pendekatan yang tepat. Pada penelitian ini, pendekatan pembelajaran yang dijadikan sebagai solusinya adalah pendekatan Realistic. Penelitian ini bertujuan untuk mengetahui peningkatan kemampuan problem solving dan problem posing matematik mahasiswa melalui pendekatan Realistic. Metode penelitian yang digunakan pada penelitian ini adalah metode kuantitatif. Instrumen yang digunakan pada penelitian ini berupa tes diagnostik berupa pre-test dan pos-test, dan angket. Hasil dari penelitian ini, kemampuan problem solving dan problem posing mahasiswa cenderung meningkat. Rekomendasi bagi peneliti lain adalah melakukan penelitian sejenis ini dengan subjek penelitian yang berbeda, seperti mahasiswa calon guru.AbstractMathematical problem solving and problem posing skill are the mathematical skills that need to be owned by students. By having this skill, students can be more creative in expressing ideas by connecting the knowledge that they held previously. But in reality, there are some students who are lack of problem solving skill; therefore it is really important to improve learning through appropriate approach. Realistic approach had been chosen as the learning theory to be applied in the class. This study has the objective to find out whether the use of realistic approach enhances students’ mathematical problem solving and problem posing skills. The research methodology used in this study is a quantitative research. The instrument used diagnostic tests (pre-test and post-test); and questioner. The results of this study, the mathematical problem solving and problem posing skills students tend to increase. Recommendations for other researchers are do the research of mathematical problem solving and problem posing skills in other populations, especially prospective teachers.


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.


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