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This study aims to analyze the effectiveness of the STEM approach and the scientific approach in learning Trigonometry in terms of students’ mathematical problem-solving ability and self-efficacy. The research employed a quasi-experimental method with a nonequivalent comparison group design. The study population consisted of all Grade X MIPA students at MA Al-Ma’had An-Nur in the 2023/2024 academic year, with the sample taken from classes X MIPA 1 and X MIPA 2. Data collection instruments included pre-test and post-test assessments of mathematical problem-solving ability and a student self-efficacy questionnaire. Effectiveness criteria were based on post-test averages exceeding 75 for problem-solving ability and self-efficacy scores above 72, as well as improvements from pre-test results. Data were analyzed using the t-test at a 5% significance level to determine learning effectiveness in both groups. Differences in students’ initial conditions and treatment effects were examined using Hotelling’s T² and the N-Gain score test. An independent-sample t-test of N-Gain was used to compare the superiority between the two approaches. The results indicated that both the STEM and scientific approaches were effective in improving students’ mathematical problem-solving ability and self-efficacy. The STEM approach significantly influenced both variables and was superior in enhancing problem-solving ability, although not superior in improving students’ self-efficacy.

This study aims to: (1) produce e-LKPD based on problem-based learning oriented to mathematical problem-solving ability and self-confidence of high school students on the material of equations and quadratic functions and (2) describe the feasibility of PBL-based e-LKPD oriented to mathematical problem- solving ability and self-confidence of high school students on the material of equations and quadratic functions seen from the aspects of validity,  practicality, and effectiveness. This type of research is research and development using the ADDIE model (Analysis, Design, Development, Implementation, and Evaluation). The research was conducted at SMA Negeri 1 Malinau with the research subject of class X-3 students totaling 35 students. Data collection was carried out using interview techniques, observation, e-LKPD validation sheets, pretest-posttest, and questionnaires. To determine the validity, the e-LKPD assessment sheet of material and media experts was used, practicality used student and teacher response questionnaires, and effectiveness used mathematics problem solving ability test questions and student self-confidence questionnaires. Data analysis consisted of qualitative data analysis and quantitative data analysis. Qualitative data analysis was conducted by analyzing the results of interviews, observations, and comments or suggestions given to make improvements to the e-LKPD products developed. Quantitative data analysis was conducted by converting quantitative data into qualitative data in the form of certain categories, normality test using shapiro-wilk, t-test with paired samples test, and N-Gain score. The results showed: (1) PBL-based e-LKPDs oriented towards mathematical problem solving skills and self-confidence of high school students on the material of quadratic equations and functions have been produced, (2) PBL-based e-LKPDs developed meet product feasibility, namely valid with excellent categories based on material and media experts; practical with very practical categories based on teacher responses and practical based on student responses; effective on math problem solving skills with classical completeness of 77%, the t-test results obtained a significance value of 0.000 <0.05 which means that there is a difference in the average ability to solve mathematical problems before and after learning using e-LKPD, the N-Gain result is 0.65 with moderate criteria, and effective on student self-confidence with an increase in the average score of each indicator before and after learning,  the N-Gain result is 0.49 with moderate criteria, and the t-test results with a significance value of 0.000 < 0.05.

The research conducted at MAS Daarul Uluum Lido Bogor Jl. Mayjen Hr Edi Sukma KM 22, Ciburuy Village, Cigombong District, Bogor Regency, aims to analyze the level of Mathematical Problem Solving Ability in the Sequence and Series Material of Class 11 at MA Daarul Uluum Lido through Google Form Media. The research method used is qualitative research with the sampling technique used is purposive sampling. The target population in this study were all class 11 students at MAS Daarul Uluum Lido. The accessible population in this study was only class 11 D MIA MAS Daarul Uluum Lido students. The research sample was 6 students, consisting of 2 students with low-level mathematical problem solving abilities, 2 students with medium-level mathematical problem solving abilities and 2 students with high-level mathematical problem solving abilities. The data analysis technique was carried out descriptively qualitatively before and during the field, namely data reduction analysis, data presentation and drawing conclusions and data verification. Based on the results of the study, it can be concluded that students in the low category are 2 students with a percentage of 5.55%, 28 students with a percentage of 77.77% are in the medium category and 6 students with a percentage of 16.6% are in the high category. So the dominant ability of solving mathematical problems in the material of Sequences and series at MAS Daarul Uluum Lido is in the medium category with a percentage of 77.77%.