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This research aims to determine the increase in mathematical problem solving abilities in permutation material through the problem based learning (PBL) learning model. This research is classroom action research (PTK) with research subjects being students of class XI TPM 2 SMK Negeri 1 Madiun, totaling 34 students. In this research, the instruments used were problem-solving ability tests and observation sheets. In this research there are two cycles, where each cycle consists of planning, implementation, observation and reflection which follows the Lewin model procedure. In this study, the minimum learning completeness obtained was >75%. The analysis technique used in this research is descriptive qualitative which is adapted to the Hiles and Huberman technique, including data collection, data reduction, drawing conclusions and verification. The results of this research show that there is an increase in problem solving abilities using the problem based learning (PBL) learning model. This can be seen from the number of students who have achieved the very good problem solving ability category, namely 15.63% in the pre-cycle, then increasing to 25 % in cycle 1, and then increased in cycle 2, namely 53%, and in cycle 2 learning completion had reached 84.38%.  

This research aims to determine the influence of the Problem Based Learning Model on Students' Critical Thinking Ability on Ecosystem Material for Class X Students of State High School 2 Gowa. This type of research uses a quasi-experimental type of research or also called quasi-experiment with a "random pretest posttest control group" design model. There are two data collection techniques in this research, namely, test and non-test, then the data collected is analyzed using descriptive analysis and inferential test analysis. The research results show that the average critical thinking ability students in the experimental class who were taught using the Problem Based Learning learning model were in the very good category with an average score of 78.52 and students' critical thinking abilities, while in the control class who were taught using the lecture method were adequate with an average score 52.55. Inferential analysis in hypothesis testing shows significant results with a sig value of 0.000 > 0.05 so that there is an influence of the Problem Based Learning learning model on students' critical thinking abilities in ecosystem material. This is also reinforced by the results of observations regarding student activity increasing.

This study aims to improve students' learning outcomes in zakat learning through the Problem Based Learning (PBL) model. The method used is Classroom Action Research (CAR) with two cycles that include planning, implementation, observation, and reflection. The results of the study showed that the implementation of PBL improved students' understanding and participation. In cycle 1, learning motivation increased, but there were still students who were less active. Improvements in cycle 2, such as more intensive guidance and relevant case studies, showed a significant increase in students' understanding and involvement. In conclusion, PBL is effective in improving zakat learning outcomes, encouraging students to think critically, and understanding the concept of zakat in theory and practice.    

Application of the Problem Based Learning Model to Improve Student Learning Outcomes in Science Subjects in the Saenama VSDK Class for the 2023/2024 Academic Year. This researcher aims to improve student learning outcomes in science learning on Temperature and Heat material for class V SDK Saenama for the 2023/2024 Academic Year through the Problem Based Learning Model to Improve Student Learning Outcomes. This research is classroom action research. Which was carried out at SDK Saenama from 13 to 18 November 2023 with the research subjects being students in class V of SDK Saenama for the 2023/2024 academic year, consisting of 20 students. Data collection techniques were carried out using learning results and student observation sheets using the Problem Based Learning learning model as well as learning tools in the form of syllabi, lesson plans and worksheets. The research results show an increase in student learning outcomes. Student learning outcomes can improve from average. The results of the research carried out show an increase in each aspect that has been determined. In the first cycle the percentage of completeness was 25% in the not yet category and in the second cycle it increased to 95% in the very good category. From these results it can be concluded that the application of the Problem Based Learning model to improve student learning outcomes in science subjects in the VSDK Saenama class for the 2023/2024 academic year has increased.

This study aims to determine the significant effect of the Problem Based Learning (PBL) based on the Magnet TPACK of SD Negeri 01 Munggur. This research uses a qualitative type of research based on the philosophy of polytheism. The population and sample used for the research were 28 students of class IV of SD Negeri 01 Munggur. The technique used in selecting the sample was purposive sampling. This research utilizes the One-Group Pretest-Posttest Design. In this design, before the treatment is given, a pre-test (alwall test) is given before the treatment is given and after the treatment is given, a post-test (final test) is given. Data collection techniques using observation, tests and documentation. Based on the results of the study, the conclusion is that there is a significant use of the Problem Balsed Lealing model of learning based on TPACK in class IV of SD N 01 Munggur. The effect of the PBL learning model based on TPACK on the learning outcomes of IPALS in class IV before the treatment was given, the maximum score was 90, while the minimum score was 45. The mean score was 63.92, the median was 62.5. Data analysis results using palired salmpel t-tes it is known that the mean value it is known that the mean pretest value of students 57,6 while the mean posttest for students was 63.92. The results of the statistical test with the crossed sample t-test recognize the effect of the Problem Balsed Learning (PBL) model based on TPACK Regarding the learning outcomes of grade IV students in the subject of science at SD Negeri 01 Munggur, it was found that based on the paired sample t-test table, the significant value (2 tallies) 0.000 <0.05 indicated that there was a difference between the initial and final variables(pretest & posttest), this proves that there is a significant effect on the difference in the need for calcualn given for the variable. 

This research is classroom action research that aims to improve learning outcomes in Natural and Social Sciences (IPAS). The topic is changing forms of energy in class IV-B students, SDN Pakis 01 Surabaya. The number of students in the class consists of 25. The data collection method used consists of observation, tests, and documentation. The learning model applied is problem-based learning (PBL). The research results show that the learning model Problem-Based Learning (PBL) can significantly improve student learning outcomes in science subjects. The pre-cycle results showed a completion rate of 32%; in cycle 1, it increased to 56%, and then in cycle 2, it increased to 80%. Implementation of learning models (problem-based learning) has succeeded in achieving the expected targets and can effectively improve student learning outcomes, especially in class IV-B at SDN Pakis 1 Surabaya in the 2024-2025 academic year. The learning model of problem-based learning (PBL) is also known for its effectiveness in building students' critical thinking skills so that it can help make the learning process easier.    

In opportunity material, students' mathematical problem solving abilities are something that needs to be paid attention to. As a teacher, teachers should use various learning models that can help students improve their mathematical problem solving abilities. This research aims to help improve the mathematical problem solving abilities of class X-6 students at SMA Negeri 9 Surabaya through the Problem Based Learning (PBL) learning model on opportunity material. This research uses the Classroom Action Research (PTK) method which is divided into two cycles where each cycle consists of two meetings. The target subjects in this research were students in class X-6 of SMA Negeri 9 Surabaya, totaling 36 people. Data collection techniques in this research include observation and problem solving ability tests. From the data obtained, analysis was then carried out using descriptive analysis. The results obtained from this research are that students' mathematical problem solving abilities increase. In cycle one, there were 12 students who scored above the KKM (33.3%). Meanwhile, in cycle two, the number of students who scored above the KKM increased to 27 people (75%). Based on these results, the achievements of students who scored above the KKM increased so that students' mathematical problem solving abilities increased by 41.7% from cycle one to cycle two.

Learning outcomes are a series of skills, knowledge, attitudes and values ​​obtained by students in their thinking process during learning activities. This research aims to improve the learning outcomes of class X-4 students on opportunity material by applying the problem based learning model assisted by wordwall media. To see an increase in learning outcomes, classroom action research was carried out for two cycles using the method of observation and analysis of test results with research instruments in the form of pretest posttest questions in the 2023/2024 academic year. The subjects of this classroom action research were 34 students from class X-4 at SMA Negeri 9 Surabaya. The research results showed a consistent increase in learning outcomes over two cycles in the opportunity material. Before the action was taken there were 18 students who had not reached the KKM and only 16 students had completed it so the percentage of completion was 47.05% with an average learning outcome of 67.76. In the first cycle, the number of students who completed their learning outcomes reaching the KKM increased to 28 with a completion percentage of 82.35% and an average learning outcome of 78.23. In cycle II, the number of students whose learning outcomes achieved the KKM consistently increased so that there were 31 with a completion percentage of 91.17% and an average learning outcome of 89.54.

The purpose of this study was to determine the positive and significant influence between the Influence of the Problem Based Learning Model Based on the Independent Curriculum on Increasing Motivation to Learn Christian Religious Education and Character Education of Class X Students of SMA Negeri 1 Pematang Siantar in the 2023/2024 Academic Year. The research method used is a quantitative method with descriptive inferential data analysis. The population is all students of class X SMA Negeri 1 Pematang Siantar who are Protestant Christians, totaling 372 people and a sample of 52 people is determined using the sample random sampling technique. Data were collected using a closed questionnaire of 44 items, namely 22 items for variable X and 22 items for variable Y. The results of the data analysis showed that there was a positive and significant influence of the Problem Based Learning Model Based on the Independent Curriculum on Increasing Motivation to Learn Christian Religious Education and Character Education of Class X Students of SMA Negeri 1 Pematang Siantar in the 2023/2024 Academic Year, as evidenced by the following data analysis: 1) Analysis requirements test: a) positive relationship test obtained rxy value = 0.612> rtable (a=0,05,n=52) = 0.297. b) Significant relationship test obtained tcount value = 5.600> ttable (a=0,05,dk=n-2=50)= 2.000. 2) Influence test: a) Regression equation test, obtained regression equation Y ̂="36.60" + 0.45X. b) Test of regression determination coefficient (r2) = 38.5%. 3) Hypothesis test using F test obtained Fcount > Ftable = =(a=0,05,dk numerator k=33,dk denominator t=n-2=52-2=50) which is 31.29 > 1.51. Thus Ha is accepted and H0 is rejected.

This study began with the problem of low Mathematics learning outcomes of class X-5 students of SMA Negeri 9 Surabaya, which were below the Minimum Completion Criteria (KKM) of 75. This study aims to improve the Mathematics learning outcomes of class X-5 students of SMA Negeri 9 Surabaya. This study is a classroom action research (PTK) conducted in two cycles in the 2023/2024 academic year with 37 students. The data collection method in this study used observation techniques. The instruments used were pretest and posttest questions. The results of the analysis showed that the application of the problem based learning (PBL) learning model succeeded in improving students' Mathematics learning outcomes in statistics material. Student learning outcomes increased from the pre-cycle to cycle I and to cycle II. Before the action, only 10 students achieved KKM with a classical completion percentage of 27.02%. In cycle I, the number of students achieving KKM increased to 26 with a classical completion percentage of 70.27%. In cycle II, the number of students achieving KKM increased again to 31 with a classical completion percentage of 88.57%.  

This research aims to determine the effect of the Problem Based Learning (PBL) learning model on student learning outcomes in the Biogeochemical Cycle sub-material in Class X SMA Negeri 1 Darangdan. This research uses a quantitative approach with a Quasi Experimental research method with a Non Equivalent Control Group Design. The population in this study were all class X students of SMA Negeri 1 Darangdan, Purwakarta Regency. The sampling technique was Purposive Sampling with a sample of class X.9 as the experimental class which took part in learning by applying the Problem Based Learning (PBL) learning model and class The variables of this research include the independent variable, namely the Learning Model (PBL Learning Model vs. Conventional Learning Model) and the dependent variable, namely student learning outcomes in the Biogeochemical Cycle sub-material in Class X SMA Negeri 1 Darangdan. The data collection technique uses the Test Method. The instrument used is a multiple choice test. Learning outcome data were analyzed using the Independent Sample T-test. Learning Results of experimental class students achieved good characteristics and the control class only achieved adequate characteristics. The mean post-test for the experimental class was 83.1 and the mean post-test for the control class was 74.04. The results of the Independent Sample t-test show the value of tcount = 3.363 > ttable = 1.989. Because tcount > ttable, Ho is rejected and H1 is accepted, which means that there is a significant difference in student learning outcomes between classes that take part in learning using the Problem Based Learning (PBL) learning model and classes that take part in conventional learning. And also the Sig value. (2-tailed) < 0.05, namely 0.001. So it can be concluded that the Problem Based Learning (PBL) learning model influences student learning outcomes.      

This research aims to determine the effect of the Problem Based Learning learning model on review text writing skills in class XII students at SMA Negeri 1 Pekanbaru and to find out how the Problem Based Learning learning model is applied to review text writing skills in class the type of research carried out in this research is a Quantitative Approach. The population in this study was all students in class. The data collection technique used in this research is the test and observation method. Data Analysis Techniques In this research the author uses quantitative descriptive. The research results in this study are the value of review text writing skills studied using the Problem Based Learning method, meaning that the average percentage of student scores is 85.00 ≥ 100% of the specified KKM, so it can be concluded that H1 is accepted and H0 is rejected and there is an influence on Value of review text writing skills for class XII students at SMA Negeri 1 Pekanbaru. The results of hypothesis testing use the t test, namely the Independent Sample T-Test via the SPSS program. shows that t count ≥ table, namely 128.567 > 2.036 with df = 32 at the 5% significance level is 2.036 so that H1 is accepted and Ho is rejected.

This research was conducted as a response to students' low interest in learning in English subjects at Al Amin Islamic Middle School, North Cikarang, Bekasi Regency. Several factors that cause this low interest include the lack of attractiveness of the material, monotonous teaching methods, and the lack of connection between English language material and students' daily lives. The impact is a decrease in students' interest in these subjects, which can affect their interest in learning. In an effort to increase students' interest in learning, the Problem Based Learning (PBL) learning model is used, where the teacher gives students ample opportunities to determine problem topics that are relevant to the learning material, even though the teacher has prepared the material that will be discussed in the lesson. The learning process is focused on students' abilities to solve problems systematically and logistically. This research uses a qualitative approach with descriptive methods. Through observation, interviews and documentation, the research results show that the application of the PBL learning model at Al Amin Islamic Middle School, North Cikarang, Bekasi Regency can increase students' interest in learning. English teachers who use the PBL model get good responses from students, where students are active in the teaching and learning process, ask questions actively, and are able to answer questions well and appropriately during discussions. The PBL learning model also encourages students to be more diligent in doing their assignments and provides high motivation to learn. Students find it easier to solve problems and are able to apply the knowledge they have.

The Problem Based Learning learning model is a learning model that begins with giving problems to students where the problems given are everyday experiences or have been experienced by students. Then students solve the problems given to gain new knowledge. It is expected that students are able to learn knowledge related to these problems, as well as students have skills in solving problems. The purpose of this research is to increase student motivation in PAI subjects at Perlaungan Islamic High School. The research method used is descriptive qualitative. The data collection techniques used are in-depth interviews, observation and documentation. Data analysis was carried out through data reduction, data presentation and then drawing conclusions. The sources of data in this study are school principals, deputy heads of curricula, PAI teachers, and students. The results of the study show that: 1. Implementation of the Problem Based Learning learning model in PAI subjects at Perlaungan Islamic High School there are five stages, namely, student orientation to problems, organizing students to learn, guiding educators to search for data on a problem, developing and presenting the work , analyze and evaluate. 2. Student learning motivation, there are two learning motivations, namely, intrinsic motivation, intrinsic motivation there are three indicators namely, there is a desire and desire to succeed, there are encouragement and needs in learning, there are hopes and ideals, and extrinsic motivation, there are five extrinsic motivations indicators namely, there is appreciation in learning, there are interesting activities in learning, there is a conducive learning environment, teacher-student relationships, student-student relationships.