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The purpose of this research is to measure the performance of 12th grade students at SMA Negeri 1 Ciruas in the subject of biodiversity and to assess the 12th grade students ability to solve problems through environmentally based learning activities. The research procedure involves using pre-tests and post-tests. The pre-test is used to determine the students initial abilities. The post-test is conducted to assess the students problem solving abilities after learning through Problem Based Learning using Student Discussion Sheets (LKPD). Student performance data, obtained from answering Student Discussion Sheets (LKPD), is analyzed descriptively and qualitatively. Scores obtained from all assessed aspects are then converted to determine the groups assessment criteria. The problem solving abilities of 12th grade students at SMA Negeri Ciruas fall into the "Good" category, and there is an improvement in scores between the pre-test and post-test evaluations.    

Problem solving skills are important for students to overcome various problems related to learning and community life. This involves students actively exploring, observing, trying, and investigating using the knowledge and abilities they have. Problem solving is the main focus of developing students' higher order thinking skills in mathematics. This research was conducted by means of observation, interviews, and post-test methods on the 4th grade students of SD Negeri 7 Gondosari. In the results of the discussion, there are 10 data from 31 students which can describe a good level of problem solving. Some students experienced difficulties in implementing the problem and re-examining the results of the solution. Therefore, it is important for students to continue to hone their problem solving abilities using the Polya procedure and to re-check the correctness of the solutions that have been done.

A This study aims to determine: (1) the effect of Blended Learning models towards Mathematical Student’s Problem Solving Abilities and Self-Regulated, (2) the improvement of student’s mathematical problem solving and self regulated learning (3) the advantages of the advantages and disadvantages of blended learning model. This type of research includes descriptive qualitative research using library research methods. The data in this study were obtained from a collection of literature such as theses and journals that are relevant to the topic of discussion, namely Mathematical Student’s Problem Solving Abilities And Self-Regulated. The results show that, 1) Blended Learning Model has a great effect on students' problem solving abilities based on the overall effect size calculation which produces an average effect size of 1.56 where this number is included in the high category and Blended Learning Model has a great effect on student’s self-regulated based on the overall effect size calculation which produces an average effect size of 1.73  2) There is an increase in  mathematical the student's problem solving abilities and self-regulated learning that are taught through blended learning models. This can be seen from the achievement of N-Gain value and indicators in the experimental class in the literature which is generally better than the control class. 3) Based on the analysis, it was found that the advantages and disadvantages of blended learning. it can be obtained that the advantages of blended learning models as follows: (a) Learning is more effective and efficient, (b) Improve accessibility. with blended learning, it is easier for learning participants to access material learning. and disadvantages of blended learning is Not evenly distributed facilities owned by students, such as computers and internet access. Even though blended learning requires adequate internet access, if the network is inadequate it will make it difficult for participants to take part in independent learning via online.

This research was conducted with the aim of producing digital learning media using the Smart Apps Creator through a Realistic Mathematics Education approach that is valid, effective, and able to improve students' mathematical problem solving abilities in the matter of a system of two-variable linear equations. This type of research is Research and Development (R&D) with the ADDIE model. From the research results, it was obtained that the media and material validity values were 93.6% and 93% with very valid categories. The practicality of the media through the results of the teacher's response questionnaire obtained a practicality value of 97.3% in the very practical category and the results of the student response questionnaire for the small group test and large group test obtained values of 90.9% and 91.4% in the very practical category. Then the value of effectiveness is seen through the mastery of classical learning and the results of the student response questionnaire obtained percentages of 87.5% and 94.05% with very effective categories. Improving problem solving abilities in students, the results obtained are that the level of students' problem solving abilities is at a percentage of 92% with a very high category, while based on the N-Gain test the average value obtained by students is 0.6473 which means there is an increase in problem solving abilities in students medium category. So based on the results obtained it can be concluded that the learning media developed in this study are valid, practical, effective, and able to improve students' mathematical problem solving abilities.

This study aims to determine the application of problem based learning learning models with lottery game media in improving junior high school students' problem solving abilities. This research is an experimental research in the form of Pre-Experimental Designs. The design used is One Group Pretest-Postest Design. The population in this study were class VIII A and class VIII B. The sample in this study was students of class VIII B consisting of 20 students with the selection of subjects based on the cluster random sampling technique. The data collection technique used is a measurement technique with a data collection tool in the form of test questions in essay form. The data analysis technique used was anava one line of dissimilar cells, with further testing using the Scheffe method. The research results obtained were that there was a significant increase in students' mathematical problem solving abilities before and after being given treatment through the problem based learning model using lottery media with high categories.  

This study aims to describe students' learning barriers in solving SPLDV questions based on problem solving abilities. This research uses descriptive qualitative research, and the sampling technique uses purposive sampling technique. This research was conducted at Sungai Kakap 1 Public Middle School, the data used were the results of researchers to clarify students' obstacles in answering questions based on problem-solving abilities with data sources, namely class VIII students of SMP 1 Sungai Kakap. Data collection techniques used measurement techniques, direct communication techniques and indirect communication techniques with data collection tools in the form of test questions, interview guides and documentation. The data analysis techniques used are data reduction, data presentation, and drawing conclusions. In this study it was concluded that the students' barriers in the high group were wrong in determining the formula and wrong in the concept of completion, the students' barriers in the medium group were wrong in determining the formula, discrepancies in using the formula to answer a problem and did not re-examine the answers, and student barriers in the low group were unable to determine the formula and solve the problem on the question then also did not re-check the answer after completing the given question.    

This study aims to obtain teaching materials based on a valid, practical, and effective realistic mathematical approach, so as to improve students' mathematical reasoning abilities on the material of a three-variable linear equation system. The research instruments used were questionnaire validation sheets, lesson plans validation sheets, teaching material validation sheets, test instrument validation sheets, mathematical reasoning ability tests, and teacher and student response questionnaires to teaching materials. After all instruments, lesson plans, and teaching materials were declared valid by the validator, then readability tests and field trials were carried out. The results showed that: (1) the teaching materials based on the realistic mathematical approach developed had met the criteria of validity based on the validator's assessment with the average validity of the teaching materials for the material being 3.13 and 3.29 for media with a very feasible category; (2) the teaching materials based on the realistic mathematical approach that have been developed have met the practicality criteria through: a) the results of the questionnaire student responses to teaching materials show the percentage of practicality of 81.19% with a very practical category, b) the results of the questionnaire responses of teachers to teaching materials show the percentage of practicality 88.75% with very practical category; (3) The teaching materials based on the realistic mathematics approach developed meet the effective criteria with: a) classical student learning mastery of 88%, b) more than 65% of students have achieved 75% of learning objectives for each indicator, c) increased mathematical reasoning ability students after using teaching materials seen through the average score of students increased from 50 in the pretest to 85.33 in the posttest and the results of the N-Gain analysis which showed students' mathematical problem solving abilities increased by 0.712, meaning in the high category.