Exploring Students' Problem-solving Ability and Response towards Metacognitive Strategy in Mathematics Learning (original) (raw)
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Every student has different thinking abilities, such as thinking activities to receive and process information. The students' thinking ability is cognitive thinking ability or known as metacognition, such as monitoring and controlling each stage conducted. Therefore, teachers need to make efforts to improve students' metacognition by using probing prompting learning techniques. This technique can encourage students' metacognition abilities in solving mathematical problems. This study aims to determine the development of students' metacognition in mathematical problem-solving. This classroom action research applied a qualitative descriptive method which was carried out in five cycles, involving four out of 22 Year 7 students in one of the islamic junior high schools in Aceh Besar, Indonesia. Data analysis of students' metacognition development was investigated through metacognition question sheets which were carried out after solving mathematical problem solving problems. Students' and teacher's activities were investigated in each lesson. The results showed that the students' metacognition in mathematical problem-solving increased in Cycle I to V based on metacognition question sheets, students' activity sheets, and teacher's observation sheets in using probing prompting techniques. The development of students' metacognition can also be seen through other supporting aspects, such as students' activities and teacher's efforts in the learning, both increased in each cycle. The results also showed that students' metacognition increased with the increase in student activities and teacher teaching abilities.
Universal Journal of Educational Research, 2020
Measuring the standard of success in mathematics learning is whether students can apply mathematical concepts and solve mathematics problems completely. However, the ability of students in solving mathematics problems is sometimes limited to routine problems and when faced with non-routine and in the form of HOTs applications problems, there is complicatedness and difficulty in determining the solution. Therefore, this study aims to review systematically, which metacognitive skills are applied and practiced when students solve mathematics problems and also to clarify the effect of metacognitive skills on student's learning performance. Studies around 2006 and up to date have been explored based on approaches, methods, and practices of metacognitive skills implemented. A total of 12 articles were selected for analysis. This review shows that metacognitive skills are implied and practiced when students solve mathematics problems, but the metacognitive regulation subcomponents are more likely to affect the completeness of the solution than the metacognitive knowledge aspects. Metacognitive skills also have a positive impact on student learning. So, delivering effective learning is very reasonable and timely, and metacognitive skills are applied based on platforms for metacognitive learning strategy.
Analysis of mathematical problem-solving ability based on metacognition on problem-based learning
Journal of Physics: Conference Series, 2018
Problem-solving is the primary purpose of the mathematics curriculum. Problemsolving abilities influenced beliefs and metacognition. Metacognition as superordinate capabilities can direct, regulate cognition and motivation and then problem-solving processes. This study aims to (1) test and analyzes the quality of problem-based learning and (2) investigate the problem-solving capabilities based on metacognition. This research uses mixed method study with The subject research are class XI students of Mathematics and Science at High School Kesatrian 2 Semarang which divided into tacit use, aware use, strategic use and reflective use level. The collecting data using scale, interviews, and tests. The data processed with the proportion of test, t-test, and paired samples t-test. The result shows that the students with levels tacit use were able to complete the whole matter given, but do not understand what and why a strategy is used. Students with aware use level were able to solve the problem, be able to build new knowledge through problem-solving to the indicators, understand the problem, determine the strategies used, although not right. Students on the Strategic ladder Use can be applied and adopt a wide variety of appropriate strategies to solve the issues and achieved reexamine indicators of process and outcome. The student with reflective use level is not found in this study. Based on the results suggested that study about the identification of metacognition in problemsolving so that the characteristics of each level of metacognition more clearly in a more significant sampling. Teachers need to know in depth about the student metacognitive activity and its relationship with mathematical problem solving and another problem resolution.
Metacognitive Analysis of Students in Solving Mathematics Problem
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This research is motivated by the lack of students' understanding of their thinking skills and students cannot determine the right strategy to overcome the problems encountered in solving mathematical problems. The purpose of this study was to find out how the metacognitive level of students in solving math problem solving problems in class IX.1 students of SMPN 26 Padang. This type of research is descriptive quantitative. The subject of this research is class IX.1 SMP Negeri 26 Padang. The instruments used are tests and interviews. The test is used to determine the metacognitive level of students in solving problem solving problems. Interviews were used to find out more about the metacognitive level in terms of students' understanding. The results showed that as many as 35.71% of students were at the metacognitive level of Tacit Use, as many as 35.71% of students had the metacognitive level of Aware Use, and as many as 28.58% of students had the metacognitive level of Strat...
The Emergence of Students’ Metacognition in the Process of Mathematical Problem Solving
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Developing a problem-solving skill for important things which need to be paid attention is how the students' thinking process in solving a problem is. Thinking about what is thought in this term relates to students' awareness of their ability to develop various ways which may be taken in solving a problem is known as metacognition. The existence of metacognition is very important for students in solving mathematical problems. This is a qualitative study using the grade VII students having medium ability as the subjects. The results of the study obtained that through intervention conducted by the researchers in 5 meetings, metacognition capability emerged in the subjects so that with their own ability they are able to solve mathematical problems provided.
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This study aims to analyze the problem solving skills of grade VII students in learning metacognitive strategy type IDEAL. The method used is qualitative research with descriptive approach to analyze the result of mathematics problem solving test with indicator 1) understand and represent problem, 2) choose or plan the solution, 3) solve the problem according to plan, and 4) recheck the result. This research was conducted in Madrasah Tsanawiyah Wanasaba sub-district. The time of the research was conducted in the even semester of the 2015/2016 school year, starting from February 2016 until March 2016. The results showed that 6.41% of students were able to plan the solution, 11.54% of the students were able to solve the problem as planned and 82.05 % of students were able to reexamine the results obtained. Based on these results, IDEAL type metacognitive learning strategy can improve students' math problem solving skills.
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This research was conducted to obtain lecture tools (syllabus, SAP, textbooks and worksheets) that use metacognitive strategies, and see the effectiveness of lecture tools in shaping students' abilities to solve mathematical problems. The research design used is ADDIE development research. This research will be conducted on third semester students of the PGSD study program, Faculty of Education and Humanities, Pelita Bangsa University, TA 2022/2023 in the Elementary Mathematics Learning course. This teaching material is declared valid based on the validation results of experts, practitioners and media experts which are marked by the acquisition of a hih score so that it is suitable for use. Penelitian ini dilakukan untuk mendapatkan perangkat perkuliahan (silabus, SAP, buku ajar dan LKS) yang menggunakan strategi metakognitif, serta melihat keefektifan perangkat perkuliahan dalam membentuk kemampuan mahasiswa dalam memecahkan masalah matematika. Desain penelitian yang digunakan ...
Metacognitive Skills in Mathematics Problem Solving
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This study is a descriptive qualitative approach. The purpose of this study was to describe level metacognitive skills of students in solving the problem solving test item based on indicators that had been compiled. Metacognitive skills in this study form planning, monitoring, reflection aspect. Data analysis aimed to describe the students’ metacognitive skills. Then, the researcher categorized the students’ metacognitive skills into reflective use, strategic use, aware use, and tacit use. The data collection methods in this study were documentation, test, and interview. From 40 student spread across many Junior High Schools in Jember district, 8 students are found to be able reading and writing of what was known (P-1), determining solving strategies (P-2), Using rules (M-1), and monitoring carefully (M-2), thus classified as having metacognitive skills into aware use. Furthermore, 20 students are able to perform (P-1), (P-2), planning intermediate results (P-3), (M-1), (M-2), able...
Profile of Students' Metacognitive Skills in Solving Math Problems in Terms of Mathematical Ability
JME (Journal of Mathematics Education), 2023
Understanding students' metacognitive skills in solving math problems concerning their mathematical abilities is crucial for identifying the cognitive processes involved in problem-solving. This study investigates the metacognitive skills of SMPN 3 Palu students with varying mathematical abilities in problem-solving. It focuses on students in class VIIJ during the 2022/2023 academic year, individually analyzing one high-ability and one low-ability student. The research, descriptive in nature, employs qualitative methods using written assignments and interviews for data collection. This study's analysis involved condensing data, presenting findings, and drawing conclusions. The findings reveal distinct approaches between high and low mathematical ability subjects. High-ability students consistently apply all three metacognitive skills (planning, monitoring, and assessment) across each problem-solving stage. Conversely, low-ability students demonstrate a limited use of metacognitive skills. While they employ planning at each stage, during implementation and result review, they primarily engage in planning and monitoring, neglecting assessment. Ultimately, it underscores the critical role of metacognitive skills in mathematical problem-solving, highlighting differences in their application between students of varying mathematical abilities.