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This study explores the effectiveness of inquirybased learning (IBL) in enhancing problemsolving skills among high school students in mathematics. The research is based on a case study conducted in a school where IBL methods were incorporated into the curriculum. The findings suggest that students engaged in inquirybased activities showed improved critical thinking and problemsolving abilities compared to traditional teaching methods. This paper discusses the impact of IBL on students' motivation and their ability to approach complex mathematical problems with greater confidence.

Effective teaching-learning activities are also supported by several aspects such as teaching methods, teaching strategies, learning models , and so on. In this study, we know the extent of the effectiveness of problem-solving learning compared to ordinary learning. Based on the research conducted, the results obtained that concluded the Problem-Solving learning mode proved effective in improving students' mathematical problem-solving abilities. Data analysis for this study used a t-test in this case obtained an average difference from the experimental class group given treatment using Problem-Solving learning and non-problem Solving class groups. The calculation results obtained a t count value (th) of 2.824 for the experimental class and 2.819 for the control class, with the table t value for db 68 sig 5% If consulted in the t table obtained 1.990 then based on the t-test criteria it can be concluded that the t value Count more than t table with GIS greater than SIG alpha by 5%, it can be concluded that count t > t table can be decided to test the hypothesis I that null hypothesis is rejected and alternative hypothethetics are accepted, in this case, there is a significant difference between students' mathematical problem-solving ability between the group of students taught using the Problem-Solving method and the group of students taught without using the Problem-Solving model.

Computational Thinking is a way of thinking that refers to the ability to solve problems using concepts used in computing. Computational thinking is a way of thinking in solving problems that students must develop in the digital era. This research aims to examine the importance of computational thinking in improving students' mathematical problem solving abilities. The type of research used is qualitative research using a literature study approach in the form of books, notes, journals, reports of relevant research results, as well as the results of observations. The results of the analysis show that it is very important for students to have computational thinking in order to improve their mathematical problem solving abilities. Computational thinking involves solving problems using a logical and systematic mindset that involves selecting and using algorithms, data representation, problem decomposition, abstraction, pattern recognition and hypothesis testing. Computational thinking has become an important and essential skill for humans in the 21st century. Educators must advocate the importance of integrating learning with computational thinking concepts into the educational curriculum. Computational thinking has an important role in learning. This can be useful for improving mathematical problem solving abilities. Apart from that, computational thinking can also develop critical, creative and analytical thinking skills in solving complex problems, both in the context of computing and everyday life.    

Learning that focuses on students' problem-solving abilities is the focus of higher education. Students who are able to develop critical thinking skills in solving problems are a necessity along with changes in workforce capability needs in the informatics era. One of the mathematics lessons at the higher education unit level is discrete mathematics. The problem that arises in discrete mathematics learning is that learning outcomes and the percentage of students completing lectures are still relatively low. The aim of this research is to improve students' solving abilities through the application of the project based learning method. This research uses classroom action research methods. The application of the project based learning method in discrete mathematics courses with graph material can improve students' abilities in solving mathematical problems, this can be seen from the research results after corrective actions were taken in learning activities in Cycles I and II. Based on the research results, it shows that through project-based learning, third semester RB class students in the Informatics Engineering Education Program at Indraprasta University PGRI Jakarta have improved their ability to solve mathematical problems in terms of individual grades and classical completion.  

The application of the STAD type cooperative learning method (Student Teams-Achievement Divisions) is a relevant strategy in efforts to improve students' mathematical abilities. In this research, we examine the effectiveness of using the STAD type cooperative learning style in improving students' mathematical abilities. This approach involves dividing students into small teams to encourage collaboration, joint problem solving, and knowledge exchange. We evaluated the impact of implementing this learning model on students' mathematical abilities and gained insight into effective learning strategies in the context of improving mathematics achievement.

This research aims to find out whether the application of the problem based learning model can improve students' mathematical problem solving abilities in class VII of St. Peter's Middle School, Medan. This research method uses Classroom Action Research (PTK). The research procedure is cyclical. Each cycle consists of 4 stages, namely: planning, implementing actions, observing and reflecting. Data collection techniques through observation and tests. This data collection uses several instruments in the form of student observation sheets. Meanwhile, to determine students' mathematical problem solving abilities, tests are used. The results of the research show that the use of the Problem Based Learning learning model can improve students' mathematical problem solving abilities in mathematics lessons on algebra material. From the average value of prerequisite abilities, namely 55.56, the average value of students' mathematical problem solving abilities in cycle I is 72.55 and the average value of students' mathematical problem solving abilities in cycle II is 76.39 and the activity value of students in cycle I is 62%, and cycle II, namely 85%.

Background: Mathematics is a very important subject to study. Mathematics lessons include the development and use of concepts such as numbers, formulas, geometry, and algebra to understand and explain phenomena in various contexts. To improve the quality of students' mathematics learning, it is necessary to develop material through a learning method which is expected to improve students' abilities in solving mathematical problems. Method: The research design is "Pre-Experimental Whithout Control Group Design". The population in this study was the fourth grade students of SD Negeri 2 Muara Aman, totaling 25 people. The sampling technique in this study used a total sampling technique where the entire population was sampled, namely 25 people. The results of this research were analyzed using the Paired t-test using SPSS 22 software. Results: The average mathematics score of respondents increased after being given the intervention by 51.13. Result: The results of the Paired T Test showed a p value of 0.000< α=0.05. Conclusion: The conclusion of this research is that there is an influence of the drill method on improving mathematics learning outcomes for fourth grade students at SD Negeri 2 Muara Aman in 2023. It is hoped that the results of this research will become a reference for teachers in developing effective learning methods to increase students' motivation and enthusiasm in learning interesting mathematics subjects. positive impact on increasing elementary school student learning achievement.

Mathematical literacy is a person's ability to formulate, use and interpret  mathematics in various contexts of daily life problems efficiently. Literacy skills students not only have numeracy skills but also the ability to think logically and critically in solving problems. Mathematical literacy has a significant positive impact on students' critical thinking abilities. This research aims to describe the influence of mathematical literacy on students' critical thinking abilities in mathematics subjects. The method used in this research is a literature review. The results of this research show a strong relationship between mathematical literacy and critical thinking skills. Mathematical literacy involves understanding, using, and interpreting mathematical concepts in a variety of concepts, while critical thinking skills involve analysis, evaluation, and rational decision making. Mastery of mathematical literacy can improve students' critical thinking abilities, because mathematics involves problem solving and logical reasoning. Thus, developing mathematical literacy can contribute to improving students' critical thinking abilities

This study aims to determine whether there is an influence of the problem-based learning model (PBL) with a STEM approach on the mathematical problem solving ability of grade VIII students of SMP Negeri 17 Medan. This research was conducted at SMP N 17 Medan T.A 2023/2024. The research method used is a quasi-experimental method. The sample of this study consisted of two classes, namely class VIII-3 as an experimental class taught with a PBL model with a STEM approach and class VIII-4 as a control class taught with conventional models. Based on descriptive statistics and categorization of research results, it was found that the mathematical problem solving ability of experimental class students was 67,74% of students in the high category, 32.26% of other students in the medium category, and no students in the low category. Meanwhile, in the control class, 15,63% of students were in the high level of problem solving ability, 53,13% were in the medium level and 31,24% of students were in the category low category. Thus it can be seen that the mathematical problem solving ability of grade students taught with PBL with a STEM approach is better than conventional learning models. Furthermore, with inferential statistical analysis for the t test, calculated t value = 2,42 and ttable = 1,999623, thus t calculated > t table means that the problem-solving ability of students taught with PBL with a STEM approach is not the same as students who use the learning  conventional model. With further analysis, Fcalculated = 5,6847 and F table = 3,998494482, then  calculated F > F table so it can be concluded that problem-based learning models with a STEM approach have a significant effect on students' mathematical problem solving abilities.

This research aims: (1) the mathematical communication abilities of students using the think-talk-write (TTW) cooperative learning model are higher than the mathematical communication abilities of students using conventional learning models in class VIII SMP Negeri 19 Medan, (2) the process of completing answers is created by students in solving problems in the think-talk-write (TTW) cooperative learning model and conventional learning models. This type of research is quantitative research with a Quasi Experimental method. This research was conducted at SMP Negeri 19 Medan. The sampling technique in this research used the Purposive Sampling technique, namely class VIII-5 as a class taught using the think-talk-write type cooperative learning model and class VIII-6 as a class taught with a conventional learning model. The data collection instruments were an observation sheet and a test sheet for students' mathematical communication skills in the form of 4 essay questions. Data analysis in this study used a t-Test with the Independent sample t-Test technique with the help of the SPSS 22 program. The results of the research showed that the average score for the class taught using the think-talk-write cooperative learning model was 80.1 and the class taught with a conventional learning model of 74.6. Hypothesis testing was carried out using the t-test, from the calculation results it was obtained that tcount was 2.501 and ttable 1.67469, the significance level was 0.016<0.05, then H0 was rejected and Ha was accepted, so it was concluded that students' mathematical communication skills used the cooperative learning model type. think-talk-write is higher than students' mathematical communication skills using conventional learning models. Based on the analysis of the process of students' answers to the mathematical communication skills test, students who received think-talk-write cooperative learning were better than students who received conventional learning.

The purpose of this study is to ascertain how efforts are made and enhance students' capacity for problem-solving following the application of the lesson study-based scientific approach and problem-based learning model. 38 students from SMP Negeri 4 Tebing Tinggi's VIII–5 class during the 2022–2023 academic year served as the research subjects. Classroom Action Research (PTK), which is this kind of research, is divided into two cycles. In pre-action, students take an initial test, and at the conclusion of each cycle, they take an exam on their problem-solving skills. The research findings are as follows: (1) If the teacher masters and effectively applies the PBL model and scientific approach based on lesson study, students' mathematical problem solving abilities can be improved, (2) Application of the PBL model can increase student learning completeness by 63.16% from 23.68% at the end of cycle I to 86.84% at the end of cycle II. (3) Students' mathematical problem solving abilities can be improved by 34.37% from 47.47% at the end of cycle I to 82.04% at the end of cycle II.