scholarly journals Mathematical Problem-Solving Through Cooperative Learning—The Importance of Peer Acceptance and Friendships

2021 ◽  
Vol 6 ◽  
Author(s):  
Nina Klang ◽  
Natalia Karlsson ◽  
Wiggo Kilborn ◽  
Pia Eriksson ◽  
Martin Karlberg

Mathematical problem-solving constitutes an important area of mathematics instruction, and there is a need for research on instructional approaches supporting student learning in this area. This study aims to contribute to previous research by studying the effects of an instructional approach of cooperative learning on students’ mathematical problem-solving in heterogeneous classrooms in grade five, in which students with special needs are educated alongside with their peers. The intervention combined a cooperative learning approach with instruction in problem-solving strategies including mathematical models of multiplication/division, proportionality, and geometry. The teachers in the experimental group received training in cooperative learning and mathematical problem-solving, and implemented the intervention for 15 weeks. The teachers in the control group received training in mathematical problem-solving and provided instruction as they would usually. Students (269 in the intervention and 312 in the control group) participated in tests of mathematical problem-solving in the areas of multiplication/division, proportionality, and geometry before and after the intervention. The results revealed significant effects of the intervention on student performance in overall problem-solving and problem-solving in geometry. The students who received higher scores on social acceptance and friendships for the pre-test also received higher scores on the selected tests of mathematical problem-solving. Thus, the cooperative learning approach may lead to gains in mathematical problem-solving in heterogeneous classrooms, but social acceptance and friendships may also greatly impact students’ results.

2021 ◽  
Vol 10 (1) ◽  
pp. 97
Author(s):  
Tanti Jumaisyaroh Siregar

<p class="Afiliasi" align="left"><strong>Abstrak:</strong></p><p>Adapun tujuan penelitian ini adalah untuk menganalisis perbedaam peningkatan kemampuan pemecahan masalah dan keterampilan sosial siswa yang diajarkan dengan pembelajaran  kooperatif tipe STADdengan siswa yang diberi pembelajaran langsung. Penelitian ini merupakan salah satu jenis penelitian kuantitatif dengan menggunakan model kuasi eksperimen dengan desain kelompok <em>pre test-post test control group design</em>. Populasi dalam penelitian ini meliputi seluruh siswa dari salah satu SMP swasta yang berada di Kecamatan Percut Sei Tuan. Sampel dalam penelitian ini melibatkan siswa kelas VIII sebanyak 30 orang pada kelas eksperimen dan 30 orang pada kelas kontrol yang diambil secara acak menggunakan <em>cluster random sampling</em>. Jenis data dalam penelitian ini adalah data kuantitatif. Instrumen yang digunakan untuk memperoleh data dalam penelitian ini adalah tes kemampuan pemecahan masalah matematis yang berbentuk <em>essay test</em> dan angket keterampilan sosial siswa dalam skala likert pada mata pelajaran matematika. Data dianalisis dengan menggunakan statistik inferensial menggunakan uji-t. Berdasarkan hasil analisis data diperoleh nilai sig   = 0.00001 &lt;  α = 0,05 sehingga H<sub>o</sub> ditolak dan H<sub>a</sub> diterima yang berarti terdapat perbedaan yang signifikan peningkatan kemampuan pemecahan masalah matematis dan sikap keterampilan sosial yang diperoleh siswa antara pembelajaran kooperatif tipeSTAD dengan pembelajaran langsung. Dapat disimpulkan bahwa rata-rata kemampuan pemecahan masalah matematis dan sikap keterampilan sosial siswa yang memperoleh pembelajaran kooperatif tipeSTAD lebih tinggi secara signifikan dibandingkan dengan siswa yang memperoleh pembelajaran langsung.</p><p> </p><p><strong>Kata Kunci : </strong><strong></strong></p><p>Pemecahan Masalah Matematis, Keterampilan Sosial, Pembelajaran Kooperatif Tipe <em>STAD</em><strong></strong></p><p><strong> </strong></p><p><strong><em>Abstract:</em></strong><strong><em></em></strong></p><p><em>The purpose of this study is to analyze the differences in the increase in problem-solving abilities and social skills of students who are taught by cooperative learning type STAD with students who are given direct learning. This research is a type of quantitative research using a quasi-experimental model with a pre-test-post-test control group design. The population in this study included all students from one of private junior high school in Percut Sei Tuan. The sample in this study involved 30 class VIII students in the experimental class and 30 people in the control class who were taken randomly using cluster random sampling. The type of data in this research is quantitative data. The instruments used to obtain the data in this study were a test of mathematical problem-solving abilities in the form of an essay test and a questionnaire for students' social skills on a Likert scale in mathematics. Data were analyzed using inferential statistics using t-test. Based on the results of data analysis, the value of sig = 0.00001 &lt;α = 0.05 so that Ho is rejected and Ha is accepted, which means that there is a significant difference in the increase in mathematical problem-solving abilities and attitudes of social skills obtained by students between cooperative learning type STAD and direct learning. Therefore, it can be concluded that the average mathematical problem-solving ability and the attitude of social skills of students who get STAD type cooperative learning is significantly higher than students who receive direct learning. </em><em></em></p><p><em>               </em><em></em></p><p><strong><em>Keywords</em></strong><em>:</em></p><p><em>Mathematical Problem Solving, Social Skills</em><em>, </em><em>Cooperative Learning Type STAD</em><em></em></p>


2020 ◽  
Vol 6 (2) ◽  
pp. 124-129
Author(s):  
Hanifah Hanifah

AbstractTeachers were required to create an active learning environment that could grow the students’ learning spirit and mathematical thinking. The cooperative learning model type TPS could provide opportunities for students to be more active and creative in solving mathematical problems. This research was a quasi-experimental study (t-test) with the nonequivalent control group design. The research was conducted to find out: (1) that students’ mathematical problem solving abilities that obtained cooperative learning type TPS were better than students who obtained direct instruction, (2) that students' mathematical problem solving abilities obtained the cooperative learning model type TPS achieve the KKM. The research population were all seventh grade students of SMP Negeri 1 Tulis. Sampling was done by cluster random sampling technique. The method of data collection in this research was a test of mathematical problem solving abilities. The data of the research results were processed using prerequisite tests, average difference test and completeness test. The results showed that: (1) students’ mathematical problem solving abilities that obtained cooperative learning type TPS were better than students who obtained direct instruction, (2) the value of students with the value of problem solving skills  70 that obtained the cooperative learning type TPS more than 75%. Keywords: Implementation, TPS, Mathematical Problem Solving Ability.AbstractTeachers were required to create an active learning environment that could grow the students’ learning spirit and mathematical thinking. The cooperative learning model type TPS could provide opportunities for students to be more active and creative in solving mathematical problems. This research was a quasi-experimental study (t-test) with the nonequivalent control group design. The research was conducted to find out: (1) that students’ mathematical problem solving abilities that obtained cooperative learning type TPS were better than students who obtained direct instruction, (2) that students' mathematical problem solving abilities obtained the cooperative learning model type TPS achieve the KKM. The research population were all seventh grade students of SMP Negeri 1 Tulis. Sampling was done by cluster random sampling technique. The method of data collection in this research was a test of mathematical problem solving abilities. The data of the research results were processed using prerequisite tests, average difference test and completeness test. The results showed that: (1) students’ mathematical problem solving abilities that obtained cooperative learning type TPS were better than students who obtained direct instruction, (2) the value of students with the value of problem solving skills  70 that obtained the cooperative learning type TPS more than 75%. Keywords: Implementation, TPS, Mathematical Problem Solving Ability.


2019 ◽  
Vol 3 (3) ◽  
pp. 377
Author(s):  
Guswinda Guswinda ◽  
Putri Yuanita ◽  
Nahor Murani Hutapea

This research is motivated by the low both Mathematical Problem Solving Ability (KPMM) and Mathematical Disposition (DM) in solving problems of grade VII MTs students. This study aims to see an increase in KPMM and DM MTs students in Kuantan Singingi Regency. The form of research was quasi-experimental with pretest-posttest control group design. The population of the study was MTs students in Kuantan Singingi District with the sample being Grade VII students from 3 MTs in Kuansing. Data collection instruments in this study were KPMM tests and DM questionnaires. Data were analyzed using t-test, Mann-Whitney U test, one-way Anova. The results obtained were an increase in KPMM for students who treated with Think Talk Write (TTW) strategies in cooperative learning. They were higher than students who obtained learning with a scientific approach (g_TTW = 0.75> 0.61 = g_PS). So it appears that the increase in KPMM and DM students who get the TTW Strategy in Cooperative Learning is higher than students who get learning with a scientific approach.


GANEC SWARA ◽  
2021 ◽  
Vol 15 (1) ◽  
pp. 874
Author(s):  
NURUL AULIA DEWI ◽  
MUHAMMAD IRHAM ◽  
SARWO EDY WIBOWO

      This study aims to determine the effect of the Type STAD Cooperative Learning model on mathematical problem solving abilities. The data collection technique was obtained by means of a test in the form of description questions and documentation in the form of a list of student names. The research instrument used was 3 pre-test and post-test questions. The data analysis technique used is the normality test, homogeneity, t test with the technique of paired samples t-test and independent t-test.      The results showed that, the paired sample t-test on the problem solving ability before and after treatment with STAD obtained an average value of 50.29 to 83.71 with a significance of 0.000 <0.05. This means that the students' scores before and after STAD learning have differences in the average mathematical problem solving abilities. Based on the results of the paired sample t-test on the ability to solve mathematical problems before and after treatment using conventional learning models, the average value was 44.57 to 75.79 with a significance of 0.000 <0.05. This means that there is a significant increase before and after conventional learning. Based on the results of the independent samples t-test, the mean values were 83.71 and 75.79 with a significance value of 0.009 <0.05. This means that there is a difference in the average problem-solving ability of students in STAD learning with students in conventional learning. It can be concluded that the STAD type of cooperative learning model has an effect on students' problem solving abilities in mathematics.


2020 ◽  
Vol 1 (2) ◽  
pp. 85-96
Author(s):  
Winmery Lasma Habeahan

The purpose of this study was to determine the differences in the improvement of students' mathematical problem-solving abilities with the Contextual Teaching and Learning approach in the material of the two-variable linear equation system in class X SMA Negeri 2 Pematangsiantar. This study used an experimental method with the aim of being in accordance with the previous statement to determine the difference in students' mathematical problem-solving abilities with a contextual approach and an expository approach, with a randomized pretest-posttest control group design. The average increase in problem-solving abilities in the control class was 0.1688 while the increase in problem-solving abilities in the experimental class was 0.0085. By using the t-test (SPSS), with a value of Fcount = 10.907 and a significant level of 0.05, a significant probability is obtained 0.002 <0.05, it can be concluded that there is a difference in normalized gain or an increase in problem-solving ability with conventional and contextual approaches. Based on the average gain of the control and experimental classes, the increase in the control class using the conventional approach is higher than the experimental class with the contextual approach. The difference in increasing problem-solving abilities in conventional classrooms is possible due to differences in students' entry-level abilities, which can be seen in the average pretest of each class.


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.


2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Damayanti Kusuma Wardhani ◽  
Wamington . Rajagukguk

AbstractThis study aims to improve students' problem-solving abilities with STAD cooperative learning model on the subject of integers class VII SMP Negeri 3 Galang. This type of  research is a classroom action research. The subjects were students of class VII-1 SMP Negeri 3 Assemble TA2014/2015 which amounted to28 students. The object of  this study is an effort to improve the ability of mathematical problem solving through cooperative learning model Student Team Achievement Division(STAD) on the subject of Integer. The research instrument used is the observation and mathematical problem solving ability test.  From the results of problem solving ability test, the data obtained were 9 students (32.14%), which reached the criteria of problem-solving abilities. After being given the treatment by applying the learning model STAD (first cycle), it is provided TKPMI .From the TKPMI data showed that as many as16students(57.14%) of the28students(2.74 value) that reaches criteria problem-solving abilities. This shows that in the first cycle of mathematical problem solving ability of students as a whole h as not reached 85%, the continued action on the second cycle. From the results TKPMII data showed that as many as 24 students (85.71%) of  the 28 students (3.15 value) that reaches criteria problem-solving abilities. This shows that the mathematical problem solving ability of students as a whole has reached 85%, then the action is stopped. Based on t he above results, it can be concluded that by applying STAD cooperative learning model can improve students' mathematical problem solving ability on the subject of integers in class VII SMP Negeri 3Galang.Keywords: STAD, improve, test, problem, solving


2015 ◽  
Vol 5 (1) ◽  
pp. 83-95
Author(s):  
Ida Karnasih ◽  
Mariati Sinaga

The aim of this study was to investigate students’ mathematical problem solving and mathematical connection ability in cooperative learning setting using Dynamic Software Autograph. This experimental study was conducted at high school in learning statistics. The collection of the data was done using observation sheets, documentation, attitude scale, and performance tests. Repeated measure tests were delivered to students for four times. The result of the analysis showed that: (1) Using Dynamic Software Autograph in teachinglearning statistics with cooperative learning Think-Pair-Share improved students’ problem solving and mathematical connection ability; (2) Students’ activity during teaching learning processes continuously improved; (3) The result of analysis of the questionnaire showed that most students like learning statistics using cooperative learning with dynamic software Autograph; (4) Students were very active and showed positive attitude toward learning using cooperative learning Think-Pair-Share using dynamic software Autograph.


2018 ◽  
Vol 6 (1) ◽  
pp. 81-92
Author(s):  
Eliza Ayu Pratiwi ◽  
Amir Rusdi ◽  
Agustiany Dumeva Putri

Penelitian ini bertujuan untuk mengetahui pengaruh penggunaan model pembelajaran mastery learning (belajar tuntas) terhadap kemampuan pemecahan masalah matematika siswa dikelas X SMA ‘Aisyiyah 1 Palembang. Jenis penelitian yang digunakan adalah true exprimental design dengan desain pretest – posttest control group design, populasi yang digunakan adalah seluruh siswa kelas X yang ada di SMA ‘Aisyiyah 1 Palembang tahun ajaran 2015/2016. Penelitian ini mengambil dua kelas sebagai sampel yang diambil dengan menggunakan teknik cluster random sampling yaitu kelas X4 dengan jumlah 37 siswa sebagai kontrol dan kelas X1 berjumlah 37 siswa sebagai kelas ekprimen. Pengumpulan data dilakukan dengan menggunakan instrumen berupa tes kemampuan pemecahan masalah matematika dan observasi kepada siswa. Data yang diperoleh dari hasil tes digunakan untuk menguji hipotesis penelitian dengan menggunakan uji-t. Dari hasil analisis diperoleh bahwa terdapat pengaruh positif penggunaan model pembelajaran mastery learning (belajar tuntas) terhadap kemampuan pemecahan masalah matematika siswa dan hasil rata-rata observasi aktivitas kemampuan pemecahan masalah matematika siswa sebesar 74.This research aims to determine the effect of using the mastery learning models to the mathematical problem solving ability of first grader of 'Aisyiyah 1’s Senior High School Palembang. The type of this research is the true experimental design with the design pretest - posttest control group design, the populations are all first grader of 'Aisyiyah 1’s Senior High School Palembang 2015/2016. This research took two classes as a samples by using the cluster random sampling technique. The classes are X4 with 37 students as a control and X1 with 37 students as a experiment class. The research was conducted of eight meetings. The collection of datas are done by using an instrument which are mathematical problem solving ability test and observation to students. The datas obtained from the test are used to test the research hypothesis by using t-test. From the analysis, this shows that there is positive effect of using the mastery learning to the mathematical problem solving abilities of students and the average result of observation the ability mathematical problem solving is 74.


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