The effectiveness of problem-based learning models using a steam approach to improve students' mathematical modeling ability on static electricity materials

Mathematical representation ability is a useful ability for students to develop and optimize their mathematical abilities. The real situation shows that the importance of the ability of mathematical representation has not been matched by student achievement. This condition can be solved by applying problem based learning model to learning in a context that is familiar to students such as scouts. The aim of this research is to explain the ability of students’ mathematical representation through the Problem Based Learning model with scouts context on circle material at SMPN 8 Banda Aceh. This research used qualitative approach with a type of research is descriptive. Data obtained through tests of student’ mathematical representation abilities and interviews. The ability of students’ mathematical representations was analyzed by utilizing the data obtained in student learning in groups through PBL model and data of result test after the application of PBL model. The achievement of this research is the ability of students’ mathematical representation during learning with PBL model in groups is accordance with the ability of students’ mathematical representation after applying the PBL model. The mathematical representation ability of high ability students is able to complete all of the indicators of the mathematical representation ability, students who are in the medium ability only complete indicators of visual and symbolic representation, and low ability students only able to complete indicator of visual representation, although not perfectly.

This study aimsto analyze the effect of PBL and direct learning model towards improvement of mathematical connection ability, anlysed based on the initial mathematics ability of senior high school students at North Bekasi. This is a quasi experiment research. The treatment of PBL model was applied to the experiment class, while the controling class applied a direct learning model. The population of this study was the students of SMA Negeri 4 Kota Bekasi grade XI IPA academic year 2016/2017 whic was a normal population consisting of homogenous students. The instruments used consisted of mathematical connection ability test, initial mathematical ability test. Prior to the aplication, the instrument has passed the test of content validity, construct validity, and empirical validity. Data analysis was done using two-way Anava test and t-test. Based on the research results, it is found that: (1) improvement of student’s mathematical connection ability given PBL model treatment is higher than those direct instruction models was applied. (2) there is an interaction between the learning model and the initial mathematical ability to improve students' mathematical connection ability. (3) the improvement of mathematical connection ability of students with high mathematics initial ability to whom PBL model was applied is higher compared to students who got direct learning model treatment.

The purpose of this research is to determine the mathematical reasoning abilities of students in solving problems on the topic of Systems Of Linear Equations In Two Variables at SMP Negeri 6 Kodi. The type of this research is qualitative research. The subjects of this research are all the students of class VIII B at SMP Negeri 6 Kodi, totaling 29 students. The interview subjects were three students from each category, namely the high, medium, and low categories. The object of this research is for the researcher to understand the mathematical reasoning abilities of the students. The data collection techniques used are written tests, interviews, and documentation. Based on the reserch results, the mathematical reasoning ability on the topic of systems of two variable linear equations (SPLDV) for students in class VIII B SMP Negeri 6 Kodi shows variation in meeting the reasoning indicators. Students with high mathematical reasoning ability are able to meet for mathematical reasoning indicators in solving SPLDV problems. Students with moderate mathematical reasoning ability can meet three indicators, while students with low mathematical reasoning ability can only meet one reasoning indicator in solving SPLDV problems. So, the researcher can conclude that the mathematical reasoning ability of the eighth-grade students of SMP Negeri 6 Kodi is still very low

This research aims to determine whether there is an influence of the Problem Based Learning (PBL) instructional model on the mathematical problem-solving abilities of seventh-grade students at SMP Negeri 7 Pematang Siantar. The study employs a quantitative method, specifically a one-shot case study design. The population consists of all seventh-grade students at SMP Negeri 7 Pematang Siantar for the academic year 2023/2024, totaling 288 students. Cluster Random Sampling was used to select a sample, and one class, namely VII-1, was chosen for the study, resulting in a total sample size of 30 students. Data were obtained through a questionnaire measuring students' perceptions of the Problem Based Learning model and a mathematics problem-solving ability test for seventh-grade students at SMP Negeri 7 Pematang Siantar. The instruments utilized included 12 closed-ended statement questionnaires with Likert scale measurements and 5 mathematics problem-solving ability test questions. Following calculations, the conclusion drawn from the simple linear regression analysis with the equation Y’ = a + bX = 27.228 + 0.234X is that the calculated t-value (4.196) exceeds the critical t-value (2.042) at a significance level of 0.00 < 0.05. Consequently, the null hypothesis H0 is rejected, and the alternative hypothesis H is accepted. The influence of the Problem Based Learning instructional model on the mathematical problem-solving abilities of seventh-grade students at SMP Negeri 7 Pematang Siantar is 38.6%. This implies that the Problem Based Learning model can affect students' mathematical problem-solving abilities by 38.6%, while the remaining 61.4% can be influenced by other factors

The mathematical communication ability is an important aspect that every student must have. The Facts show that mathematical communication ability and student confidence are still not optimal. One effort to overcome that is by applying PBL models with brainstorming techniques. The purpose of this study was to test the effectiveness of the PBL model with brainstorming techniques on students' mathematical communication ability, describing mathematical communication ability on PBL models with brainstorming techniques in terms of student confidence. This research uses mix method approach with a concurrent embededded model. The population of this study was class VIII of SMP Negeri 1 Ungaran in the 2018/2019 school year. The results showed that: PBL models with effective brainstorming techniques for learning as indicated by learning outcomes in aspects of mathematical communication ability achieve mastery learning individually and classically as well as the average learning outcomes in classes using PBL models with brainstorming techniques more than average learning outcomes in the classroom using the PBL model, subjects with high self-esteem can meet all indicators of mathematical communication ability, on subjects with moderate self-confidence only able to meet indicators explaining ideas, situation and mathematical relationship at writing and indicators listening, discussing and writing about mathematics. Whereas for subjects with low levels of self confidence have not been able to meet all indicators of students' mathematical communication ability.

The purpose of this study was to determine whether there is any difference between students’ mathematical representation ability who were taught by using the learning model of Project Based Learning with students who were taught by Guided Discovery Learning; there is any difference in the students' mathematical representation ability based on high, medium, or low learning motivation categories, and there is an interaction between the learning model and the learning motivation toward mathematical representation ability. A quasi experiment was used with 2x3 factorial designs. Instrument used to collect data was mathematics test and learning motivation questionnaire. The hypothesis testing used two way analysis of variance with unequal cell. Based on the results of hypothesis testing, it can be concluded that there is a difference in the students' mathematics ability that was taught by using Project Based Learning model with students who were taught by sing Guided Discovery Learning model; there is a difference in the students’mathematical representation ability based on high, medium, or low learning motivation; and there is an interaction between the learning model and the learning motivation on the mathematics ability.

Mathematical connection ability is one of the important mathematical skills for students to connect mathematical concepts with various contexts inside and outside mathematics. The purpose of this study was to describe the mathematical connection ability of students in class VIII B SMP Muhammadiyah 2 Batu based on high, medium, and low categories in solving mathematical problems. This research uses a qualitative approach with a descriptive type that will present the results of the analysis in the form of facts or conditions of the mathematical connection ability of students in class VIII SMP Muhammadiyah 2 Batu in solving mathematical problems. The data collection techniques used are documents, paired tests, and paired interviews so that this research will reveal how students solve math problems given in pairs. Data analysis techniques used include data collection, data condensation, data presentation, and conclusion drawing. The results of the analysis of this study found that high category subjects met 58.5%, medium category subjects met 41.6%, and low category subjects met 25% of the indicators of mathematical connection ability in solving mathematical problems. This study recommends further study of students' mathematical connection ability in solving mathematical problems both individually and collaboratively based on factors that influence students' mathematical abilities.

This research aims to determine the effect of the problem-based learning model on the mathematical problem-solving abilities of students at SMP Negeri 3 Prabumulih. This research was conducted at SMP Negeri 3 Prabumulih for the 2023/2024 academic year. The research sample was obtained from two classes consisting of an experimental class (PBL) of 32 students and a control class (conventional) of 32 students. Data collection after treatment was done using tests of students' mathematical problem-solving abilities. From the results of the research and discussion, it can be concluded that there is an influence that the mathematical problem-solving skills of students taught using the problem-based learning model are higher than those of students taught.

This study aims to describe the self-efficacy and mathematical understanding abilities of students at SMP Negeri 1 Kontukowuna and to analyze the influence of self-efficacy on the mathematical understanding abilities of these students. The population of this study consists of all 47 seventh-grade students at SMP Negeri 1 Kontukowuna. The sample was determined using a total sampling technique. Data analysis techniques include descriptive analysis and inferential analysis. Data collection techniques involve using a self-efficacy questionnaire and a mathematical understanding test. The results of the data analysis showed that 8.51% of students have very high self-efficacy, 19.15% have high self-efficacy, 42.55% have moderate self-efficacy, 27% have low self-efficacy, and 2.13% have very low self-efficacy. Furthermore, 17.02% of students have high mathematical understanding abilities, 70.21% have moderate mathematical understanding abilities, 12.77% have low mathematical understanding abilities, and no students fall into the very high or very low categories. Finally, it was found that there is a significant positive influence of self-efficacy on the mathematical understanding abilities of seventh-grade students at SMP Negeri 1 Kontukowuna, with a significance level of . The regression equation is , and the coefficient of determination () is 0.223, which means that self-efficacy (X) contributes 22.3% to mathematical understanding (Y), while the remaining 77.7% is influenced by other factors outside the independent variable (X) not discussed in this study.

Mathematical reasoning ability is a very important aspect in learning mathematics. This ability is a high-level ability that involves imagination and curiosity to think logically. Mathematical reasoning can be sharpened using the Problem Based Learning learning model, so this research was conducted to analyze the mathematical reasoning abilities of students at SMP Negeri 5 Kisaran using a qualitative descriptive approach. The subjects in this research were 32 students. The data used is written test results and observation results during the learning process which will then be analyzed using qualitative descriptive data analysis techniques including data reduction, data display and verification. The results of this research show that the mathematical reasoning ability of students in the high category is 8 people, 16 people are medium and 8 people are low, and the average value of the results of observations of mathematics learning activities in comparative material is 16.28125 with a percentage of 66.5%. which is included in the medium category. These results indicate that the reasoning abilities of students at SMP Negeri 5 Kisaran are in the medium category.

This research is based on a preliminary study conducted by researchers during observations at SMP Negeri 3 Mandrehe Barat. The problem is that students' mathematical problem-solving skills still need improvement. This study aims to determine whether there is an effect of brainstorming learning methods on students' mathematical problem-solving ability. This type of research uses the quasi-experimental research method involving two groups that are given different treatments. The population of this study was all VIII classes of SMP Negeri 3 Mandrehe Barat, and two classes were selected by simple random sampling as research samples, namely class VIII-A totaling 20 students as an experimental class taught using the brainstorming learning method and class VIII-B 21 students as a control class taught using conventional learning methods. Data were collected through student mathematical problem-solving ability tests. Based on this research, the results of hypothesis testing are and . Because > , then Ho is rejected, and Ha is accepted that there is an effect of brainstorming learning method on students' mathematical problem-solving ability at SMP Negeri 3 Mandrehe Barat.

The understanding mathematics ability is important for high school students. However, the reality that happened at SMAN 6 Banda Aceh, students' mathematical understanding still has not reached completeness so that it affects the final score of mathematics subjects. The cause of the problem is due to teacher-centered learning which makes learning meaningless. Therefore, a meaningful learning model is needed so that it can improve students' mathematical understanding ability. One of the meaningful learning models is the Problem Based Learning model. Based on this background, this research aims to:to find out the increase in students' mathematical understanding skills with the Problem Based Learning modelat SMAN 6Banda Aceh. This research is a quasi-experimental design with nonequivalent control group design. The research sample consisted of two classes, namely class XI IPA-2 as the experimental class consisting of 30 students with the PBL model and class XI IPA-1 as the control class consisting of 29 students with the conventional model. The data collection technique is done by test. The research instrument used is a test of mathematical understanding ability. The data analysis technique used independent sample t-test. The results showed that the value of sig. count more than sig. alpha, so it can be concluded that the increase in students' mathematical understanding through the PBL model is better than the mathematical understanding of students who get conventional learning.

Interest is a source of motivation that drives them to do what they want when they are free to choose. When they see that something will be profitable, they feel interested, when satisfaction decreases, interest decreases. In SMP Negeri 7 Muaro Jambi, there are variations in student responses to PJOK learning, so a survey needs to be conducted to determine the extent of their interest in learning physical education, sports and health subjects. The design of this study is a descriptive quantitative study with a survey method with data collection techniques using questionnaires, sampling with a total sampling technique, which is aimed at all populations totaling 430 respondents. The calculation results show that students' interest in learning physical education, sports and health at SMP Negeri 7 Muaro Jambi on the indicator of feelings of pleasure is included in the high category with a percentage of 66%, which value is in the interval range between 61-80%, students' interest in learning physical education, sports and health at SMP Negeri 7 Muaro Jambi on the student interest indicator is included in the high category with a percentage of 64%, which value is in the interval range between 61-80%, students' interest in learning physical education, sports and health at SMP Negeri 7 Muaro Jambi on the student involvement indicator is included in the high category with a percentage of 70%, which value is in the interval range between 61-80%, students' interest in learning physical education, sports and health at SMP Negeri 7 Muaro Jambi on the indicator of attention in learning is included in the high category with a percentage of 70%, which value is in the interval range between 61-80%. The results of the calculation of students' learning interest in physical education, sports and health lessons at SMP Negeri 7 Muaro Jambi are included in the high category with a percentage of 67%, which is in the interval range between 61-80%.

Mathematical communication ability is important owned by students’ because a lack of ability of mathematical communication can lead to a lack of understanding of the mathematical concept or mathematical problem. Preliminary observation conducted by researchers in SMP Negeri 3 Kisaran found that the students aren’t able to answer. It is clearly seen in the student’s answer sheet that the student’s mathematical communication ability is low lack of student’s mathematical communication ability of SMP N 3 Kisaran is so related to the learning process which has been done by the mathematics teacher. To fix it is necessary to develop an approach to learning that is more effective, creative, and fun. On this basis, the authors try to apply cooperative learning Control Class type to improve mathematical communication ability. This research is quasi-experimental or quasi-experimental research with a quantitative approach. The conclusion found that there is an increase in students’ mathematical communication ability taught by cooperative learning cooperative script type at SMP Negeri 3 Kisaran.

This research examines the development of a media entitled "Fraction Puzzle Teka-Teki" with the aim of improving the mathematical problem-solving abilities of 2nd grade elementary school students. This media is designed with an interactive approach to address issues in mathematics education for students with low problem-solving abilities. This research uses Research and Development research with the ADDIE (Analysis, Design, Development, Implementation and Evaluating) development model. The research subjects were the Tingkir Lor 02 Salatiga State Elementary School, the research samples were 2nd grade elementary school students. Validation results from subject matter experts, media experts, and learning experts indicate very high levels of validity, with scores reaching 91.6%, 93.3%, and 75%, respectively with very high category. Media practicality received a percentage of 88% in the very high category from student responses and 92.5% in the very high category from teacher responses. The implementation of the "Fraction Puzzle Teka-Teki" in education is effective, as evidenced by the improvement in post-test scores for second-grade students. Statistical analysis shows significant results (Sig. [2-tailed] = 0.000 < 0.05), indicating an enhancement in mathematical problem-solving abilities following the use of the developed media. Based on these findings, it can be concluded that "Fraction Puzzle Teka-Teki" is a suitable tool for mathematics education and is effective in enh ancing the mathematical problem-solving abilities of students. indicating an enhancement in mathematical problem-solving abilities following the use of the developed media. Based on these findings, it can be concluded that "Fraction Puzzle Teka-Teki" is a suitable for use in mathematics education and is effective in improving the mathematical problem-solving abilities of 2nd grade elementary school student.