scholarly journals Problem Based Learning, Discovery Learning, and Open Ended Models: An experiment On Mathematical Problem Solving Ability

2020 ◽  
Vol 4 (1) ◽  
pp. 9
Author(s):  
Dian Fitria Tanjung ◽  
Edi Syahputra ◽  
Irvan Irvan

This research is to look at the effect of problem-based learning, discovery learning, and open-ended models on the mathematical problem-solving abilities of students. The type of research is a quasi-experiment with a three treatment counterbalanced design research design. The instruments used: (1) students 'initial mathematical ability tests, (2) tests of students' mathematical problem-solving abilities with the Pythagorean Theorem material. Inferential data were performed using covariance analysis (ANACOVA). The samples of this study were 32 students each from three experimental classes selected by purposive sampling. The results are: (1) of the three learning models conducted using the model of problem-based learning, discovery learning, and open-ended had a positive effect on the ability to solve mathematical problems; (2) the ability to solve mathematical problems of students taught by problem-based learning models is better than the using discovery learning and open-ended models; and (3) there is an interaction between the initial ability of mathematics and learning models.

2021 ◽  
Vol 8 (1) ◽  
pp. 23-28
Author(s):  
Khardiyawan A. Y. Pauweni ◽  
Moh. Efendi B. Iskandar

This study aims to improve students’ mathematical problem-solving ability through the Problem-Based Learning Model in Fractions learning material at grade VII of Junior High School SMP Negeri 10 Gorontalo. This classroom action research (CAR) involved 25 students as the subject and were conducted collaboratively between the researcher and teachers. This research was carried out in two cycles, and the first and second cycle consisted of three meetings, respectively. The instruments applied were an observation sheet of the teacher’s ability to manage the Problem-Based Learning Model, the observation sheet of students’ activity using the model above, and the ability tests to solve mathematical problems in the Fraction material. Further, the data were collected from observation and written tests. The results show an enhancement of the teacher’s ability in managing the Problem-Based Learning model and students’ activity using this model and the outcomes of mathematical problem-solving skill in the fractions learning material from cycle I to cycle II. Therefore, this finding indicates that the Problem-Based Learning model can be accepted as an alternative in learning Fractions at the research site.


2018 ◽  
Vol 7 (3) ◽  
pp. 425-432
Author(s):  
Puji Lestari ◽  
Rina Rosdiana

AbstrakKemampuan pemecahan masalah merupakan bagian dari kurikulum pendidikan matematika saat ini. Fakta di lapangan menunjukkan bahwa kemampuan pemecahan masalah matematis siswa masih belum optimal, salah satu penyebabnya adalah masih banyak siswa yang menemui kesulitan dalam hal pemahaman konsep dasar. Mengoptimalkan kemampuan pemecahan masalah diantaranya dapat ditempuh melalui pembelajaran yang berpusat pada siswa. Model pembelajaran Learning Cycle 7E dan Problem Based Learning merupakan dua dari beragam model pembelajaran yang berpusat pada siswa. Adapun tujuan dari penelitian ini adalah untuk mengetahui perbedaan pencapaian kemampuan pemecahan masalah matematis antara siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning. Hasil dari penelitian menyimpulkan bahwa tidak terdapat perbedaan peningkatan kemampuan pemecahan masalah matematis antara siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning. Sementara itu, untuk kualitas peningkatan kemampuan pemecahan masalah matematis siswa yang mendapatkan model pembelajaran Learning Cycle 7E dan Problem Based Learning masing-masing berinterpretasi sedang namun skor perolehan nya berbeda. Secara umum, sikap siswa terhadap pembelajaran matematika menggunakan model pembelajaran Learning Cycle 7E dan Problem Based Learning masing-masing berinterpretasi baik. Abstract (Students’ Problem Solving Ability through Learning Cycle 7E and Problem Based Learning)Currently mathematical problem solving ability was a part of mathematics curriculum. In fact, the mathematical problem solving ability of students was not optimized, one of the reasons is there are still many students who have problems in terms of understanding the basic concepts. To optimizing the mathematical problem solving ability of students, it, can be reached by implementing student-centered learning. Learning Cycle 7E and Problem Based Learning are two of a lot of student-centered learning models. The purpose of this study was to determine the difference of achievement mathematical problem solving ability between students who get Learning Cycle 7E and Problem Based Learning models.  The results of this study are there is not a difference enhancement of mathematical problem solving ability between students who get Learning Cycle 7E and Problem Based Learning models. Meanwhile, the quality of enhancement mathematical problem solving ability students who get Learning Cycle 7E and Problem Based Learning models are in the middle interpretation. In general, students' attitudes toward learning mathematics using Learning Cycle 7E and Problem Based Learning models each in good interpretation.


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.


2017 ◽  
Vol 2 (2) ◽  
pp. 131
Author(s):  
Yunita Herdiana

This research is aimed to investigate the students’ problem-solving competency after learn by using discovery learning model and students’ problem-solving ability after learn by using problem-based learning model. Therefore, this research is aimed to investigate differences problem-solving ability of mathematics between students who get discovery learning model and problem-based learning model. The population used in this research was a student in grade VII in one of junior high school in West Bandung Regency. The sample was student class VII B for the first experiment class and VII C for the second experiment class with 35 students in every class. The method in this research was a quasi experiment by using two group post-test only design. The instrument in this research is post-test about problem-solving of mathematics. Based on the research, it can be concluded that there is a difference between the mathematical problem-solving competency of students who get discovery learning model and problem-based learning model. Nevertheless, the qualification of problem-solving competency between of students who gets discovery learning model and problem-based learning model, are including the medium category


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.


Author(s):  
Asep Sahrudin

This article presents development reasearh result of problem based learning method to increse students’mathematical problem solving ability conducted at 4th semester students in 2016 academic years at numbers theory course. The aim of the research is to describe development process of problem based learning method corresponding theoretical concepts to increase mathematical problem solving ability with learning device includes: (a) RPS and (b) learning media which be able to be applied in mathematical learning process and testing learning method which has been developed.This research uses mixed method, qualitative method reviews and describes implementation process of learning method, while quantitative method uses experimental design (pretest and postest) to discover its effects towards students whether learning method which developed proven effective to increase students’ problem solving ablity. Based on the results of research and discussion, the study concluded that the strategy of mathematics which has been developed and tested can improve the ability of solving mathematical problems very well (excellent).


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.


2018 ◽  
Vol 3 (1) ◽  
pp. 40
Author(s):  
Resky Rusnanda ◽  
Asmaidi Asmaidi

This research is a quantitative research by true experimental design. Research design is random, pre test and post test. Sample is prepared randomly by two group; experiment and control group. Experiment group is prepared by problem based learning with 13 students in this group, while control group is taught by conventional method with 10 students in this group. Tests are applied in data collecting, then analyzed by t-test. Data analysis shows at a = 0,05 there was dan = 1,72 atau . It can be concluded that the increase in mathematical problem solving from experiment group is relatively better than those in control group in Applied mathematics II Course in Industry Technics Study Program, South Aceh Polytechnic.


2019 ◽  
Vol 7 (2) ◽  
pp. 168
Author(s):  
Angra Meta Ruswana

This research was motivated by the low mathematical problem solving abilities. The aims of this research are to examine and describe the differences between pre-prosperous students who used flipped classroom learning models with peer instruction flipped type  and pre-prosperous students who used conventional learning in the improvement of students’ mathematical problem solving abilities. This research was conducted in class XI of SMK Taruna Bangsa, Ciamis. The research used  Quasi-Experiment method by using instrument in the form of mathematical problem solving ability test to obtain the research data. Data analysis was conducted on normalized gain of two sample groups by using the normalized gain difference test. The result showed there were the differences between pre-prosporous students who used flipped classroom learning model with peer instruction flipped type and students who used conventional learning in the improvement of students’ mathematical problem solving abilities


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