Mathematical Critical Thinking Research Articles

The Effect of Cooperative Learning Models on The Students' Mathematical Critical and Creative Thinking Ability: Meta-Analysis Study

This study aims to describe the results of the study and examine the effect of the implementation of the Cooperative learning model on the students' mathematical critical and creative thinking abilities and obtain an effect size when viewed based on educational level, sample size, and research demographics from the primary studies being analyzed. This research is quantitative research with a meta-analysis research design. The research sample that met the inclusion criteria consisted of 34 primary studies of mathematical critical thinking ability (the total effect size of the studies was 39) and 23 primary studies of mathematical creative thinking ability (the total effect size of the studies was 24). Based on the research findings, it was found that the overall effect of the implementation of the cooperative learning model on the students' mathematical critical thinking skills had a significant effect with an effect size of 0.792. Overall, implementing the cooperative learning model on the students' mathematical creative thinking ability had a significant effect with an effect size of 0.696. In addition, there is no difference in mathematical creative and critical thinking abilities between the students who studied in the cooperative class and those who studied other than in the cooperative class in terms of education level and sample size. There is no difference in mathematical critical thinking skills between the students who studied in the cooperative class and those who studied other than in the cooperative class in research demography. However, there are differences in mathematical creative thinking abilities between the students who studied in the cooperative class and the students who studied other than in the cooperative class in terms of research demography.

The effectiveness of portfolio assessment based problem based learning on mathematical critical thinking skills in elementary schools

This study aims was determine the effectiveness of the problem-based learning model based on portfolio assessment on the ability to critical thinking in mathematics. The research sample was 120 elementary school students in South Kalimantan. sampling was used multistage cluster sampling technique. This research was a quasiexperimental research. Data analysis was performed used a two-way ANACOVA test. The results showed that (1) Problem based learning had an influence on students' critical thinking skills in mathematics because the Fcount obtained was 6.351 compared to F table (0.05< 1.115), which was 3.93. (2) it was said that there was a significant influenced between the interaction of learning models and assessment techniques on students' critical thinking skills in mathematics because the Fcount obtained was 25.669 compared to Ftable (0.05< 1.115), namely 3.93. (3) it was not true that the portfolio assessment technique has a significant effect on students' mathematical critical thinking skills. The Fcount obtained was 1.476 compared to Ftable (0.05>1.115), which was 3.93. Judging from the value of sig. (0.227) > α (0.05)

Identification of critical thinking skills in mathematics students of class VIII SMPN 61 West Jakarta

Critical thinking skill is one of the highest levels of cognitive abilities. This competence is needed to support students in thinking and resolving problems in daily life. Initial identification requires students' critical thinking ability to be a guide in designing a model or strategy of learning. The purpose of this study is to know and describe students' critical thinking ability to solve mathematical problems in the circular matter, with a qualitative approach. The data-gathering technique uses a critical thinking skill test for as many as three problems with a circle matter. Further interviews are conducted to strengthen students' critical thinking abilities. Research instruments are praised on 34 students living in the viii class 61 Jakarta. The selection of the subject of research is based on the results of researchers' observations on the issues in the field that were discussed with the teacher of the subject. The results of the student's work are studied by pointing to critical thinking ability indicators that researchers have established - interpretation, analysis, evaluation, and inference. Research shows that students' critical mathematical thinking ability is at low criteria, where an interpretation attainment indicator is 38.24%; Analysis of 49.02%; evaluation of 47.3%; And inference at 26.47%.

Efektivitas Aplikasi Geogebra Terhadap Keterampilan Berpikir Krtitis Matematika Siswa

Based on the results of observations on the online mathematics learning process in grade VIII A students of SMP Negeri 7 Kota Sungai Full with a total of 29 students, it is known that students do not understand the material provided by the teacher, this is due to learning mathematics One must think in order to be able to understand the mathematical concepts learned and be able to use these concepts correctly when he has to find answers to various mathematical problems, whereas the thought process cannot be obtained from learning remotely And also the network conditions in Sungai Full City are not good making students unable to study well, and not all students of SMP Negeri 7 Kota Sungai Full can use applications such as: Geogebra, Photomath, Cymath, and so on. This type of research is descriptive with a quantitative approach. The purpose of this study was to see the Effectiveness of Geogebra Applications on Students' Mathematical Critical Thinking Skills. The data analysis used in this study was by using the mean similarity test and t-test. Based on the results of data analysis using the t-test, a significance value (p-value) of < ∝ or in other words 0.000 < 0.05 means that H1 is accepted or in other words, students' mathematical critical thinking skills can be improved with the help of geogebra applications in mathematics learning.

Analysis of Students' Critical Thinking Skills Based on Prior Knowledge Mathematics

The development of critical thinking skills has emerged as a global concern in a variety of fields, including education. The purpose of this research is to shed light on the connection that exists between one's prior knowledge and the mathematical critical thinking skills that are acquired through the use of quantitative methods. Collecting data through the use of mathematical instruments, mathematical critical thinking tests, and daily test data for the prerequisite material based on the average student's performance. High school students in the eleventh grade made up the study's sample population. The findings of the research indicate that there is a positive connection between mathematical background knowledge and critical thinking abilities in that subject area. It is possible to draw the conclusion that the material that serves as initial knowledge and is therefore a prerequisite needs to be studied extensively in order to have broad insight that contributes to the success of learning the subsequent material. In spite of this, the researchers discovered that the number of students who fell into the high and medium categories of critical thinking skills was lower when compared to the number of students who fell into the second category when it came to their initial mathematical abilities. In other words, there has been a rise in the proportion of students who score poorly on tests of their ability to engage in critical thinking. These additional aspects should be sought out and incorporated as research fodder in subsequent studies.

Penerapan Quizizz Bernuansa Etnomatematika Melalui Problem Based Learning Untuk Meningkatkan Kemampuan Berpikir Kritis Siswa

The research aims to determine the effectiveness of students' mathematical critical thinking skills using quizizz with PBL with ethnomathematics nuances. The type of research that has been used is quantitative with quasi-experimental methods. One group pretest-posttest research design. Students are given a pretest and intervention through the use of quizizz, after which a posttest is carried out. The research sample was 55 grade IV elementary school students using the saturated sampling technique. The research instrument was a multiple choice test, while data analysis used an independent sample T-Test with a difference test of Sig = 0.000. The results showed that the experimental class mean was 80.82, the control class was 74.14. This proves that the application of quiziz in PBL with ethnomathematics nuances is very effective in increasing student learning independence (self-confidence, always prepared, daring to appear in front, confident in one's abilities, and not afraid to try). Therefore, the application of quiziz with PBL with ethnomathematics nuances can improve students' critical thinking skills.

IMPROVING MATHEMATICS LEARNING OUTCOMES THROUGH PROBLEM BASED LEARNING (PBL) LEARNING MODEL FOR 4TH GRADE STUDENTS

Problem-Based Learning (PBL) is an active learning approach that engages students in solving real-world problems to enhance their mathematics learning outcomes. This study aims to investigate the effectiveness of the PBL model in improving students' understanding and achievement in mathematics. The research employed an experimental design with a pretest-posttest control group. The participants were divided into an experimental group receiving PBL-based teaching and a control group receiving conventional teaching. The results demonstrated that students in the PBL group exhibited significantly better mathematics learning outcomes compared to the control group. These findings suggest that PBL holds promise as an effective learning approach, promoting critical thinking, problem-solving skills, collaboration, and motivation in mathematics. This study's implications may contribute to the development of learning strategies that emphasize the practical application of mathematical concepts, fostering students' deeper understanding and ability to apply these concepts effectively.

Peningkatan Kemampuan Berpikir Kritis Siswa Kelas IV SD dengan Menggunakan Model PBL Berbantu Media Papan Madu

This study aims to determine the application of the honey board-assisted PBL learning model to improve critical thinking skills in mathematics of fourth grade students of Medini 2 Public Elementary School. This class research was conducted in fifth grade of Boloagung 02 Public Elementary School with 20 students and teachers as test subjects, who lasted for 2 cycles. Each cycle consists of two meetings. The dependent variable is students' critical thinking skills and the independent variable is the Problem Based Learning model assisted by Honey Boards. Data collection methods used include interviews, observation, tests and documentation with quantitative and qualitative analysis techniques. The results of the study showed that students' critical thinking skills after applying the Problem Based Learning model assisted by the Honey Board in Cycle I obtained a score of 76.67 with a percentage of 71%, and student completeness reached 65%. The increase in the results of critical thinking skills in cycle II was 78.67 with a percentage of 79% and the percentage of students' completeness was 90%. So, the application of the PBL learning model assisted by the honey board can improve the mathematical critical thinking skills of fourth grade students at SD Negeri Medini 2.

Mathematical critical thinking ability reviewing from domicile, gender, and adversity quotient

Students' mathematical achievement in mathematical critical thinking skills is still in the low category. This study analyses mathematical critical thinking skills based on domicile, gender, and adversity quotient. This research is a qualitative case study. The subjects selected through purposive sampling came from high schools in the Jakarta and Tangerang class XI areas. The data were analyzed using the Rasch Model, namely Winstep through the stages of reduction and categorization, presentation, and conclusion. The results of the study obtained the ability to think critically mathematically based on domicile, the subject of urban domicile was able to meet all indicators of Critical thinking well. Based on gender, subjects of the female and male genders have the same mathematical abilities on critical thinking indicators. According to the adversity quotient, the subject in the subject climber type can solve the problem properly and precisely, and in the camper type the subject can solve the problem precisely however, in the inference indicators the two subjects do not describe the requested graph and are in the dominant camper type, while the quitter type has a low AQ ability with indicators that are met only interpretation.

ANALISIS KEMAMPUAN BERPIKIR KRITIS MATEMATIKA KELAS X DITINJAU DARI GAYA BELAJAR SISWA

The purpose of this study was to analyze and improve students' mathematical critical thinking skills in terms of learning styles in class X MIPA 1 students at SMAN 9 Depok. The research method used in this research is analytical method. The sampling technique used purposive sampling technique. Instruments for collecting data in this study were in the form of a learning style questionnaire and a test of critical thinking skills. All students of class X MIPA 1 were identified with the type of learning style by using learning styles and critical thinking skills tests taken by 6 students representing each type of learning style of 2 students. The test is carried out on the Absolute Value material. Furthermore, the analysis of all data is carried out with the following steps: data reduction stage, data presentation stage, and conclusions. The results showed that: 1) students with visual learning styles were able to overcome indicators at the stage of providing simple explanations and arranging tactics but were less able to meet indicators at the inference stage, 2) students with auditory learning styles were less able to reach the stage of providing simple explanations but were able to in arranging strategies-tactics and inference stages, 3) students with kinesthetic learning styles are able to fulfill all indicators at the stage of giving simple explanations, setting strategies-tactics, and inferences

Conceptualising critical mathematical thinking in young students

International curriculum and policy directions have called to embed critical thinking across discipline areas including mathematics; however, conceptually, this is under-theorised and under-researched in the field of mathematics education. This paper presents the conceptualisation of critical mathematical thinking (CMT) and the application of a literature informed conceptual framework; in particular, it examines what CMT capabilities young students exhibit as they enter formal schooling. We present the findings from one-on-one task-based interviews, undertaken with 16 young students (aged 5–6) as a means to investigate their CMT capabilities and refine the CMT framework. The interview data were analysed using the new critical mathematical thinking conceptual framework. The data confirms the definition and understanding of CMT in young students, indicating a need for curriculum refinement, improved teaching practices, and further research in this area.

AUGMENTED REALITY: IMPROVEMENT OF CRITICAL THINKING BASED ON STUDENTS' INITIAL MATHEMATICAL ABILITY

This research is motivated by the importance of mathematical critical thinking skills for students, as well as the rapid development of information technology in the digital era. This study specifically aims to improve students' mathematical critical thinking skills through the application of Augmented Reality (AR)-based learning media with 3D unity that can be used in online learning and offline learning based on Initial Mathematical Ability (IMA). Augmented Reality is a technology that combines three-dimensional virtual objects into a real environment and then projects these virtual objects in real-time. While the initial mathematical ability is one of the factors that influence the learning of mathematics, the higher the initial mathematical ability of a student, the better the level of the student's mathematical critical thinking ability. This research is quantitative research (quasi-experimental), while the research subjects are students at one of Pekanbaru's state junior high schools class VII for the academic year 2022/2023, as many as 30 students who are randomly selected by the class. This research was conducted on the material of flat shapes, especially triangles and quadrilaterals. The data collection method used was a mathematical critical thinking ability test. The test result data was processed by statistical tests, including a normality test, homogeneity test and two-way ANOVA test. The results showed that the improvement of mathematical critical thinking skills of students who received learning using augmented reality media with Unity 3D was better than the improvement of mathematical critical thinking skills of students who received conventional learning based on students' initial mathematical abilities.

Development of Desmos Electronic Students’ Activities Sheet (E-LKPD) based on the Problem Based Learning to Improve Students’ Mathematical Critical Thinking Skills

The purpose of this study was to improve students' mathematical critical thinking skills using the developed Desmos Electronic Student Worksheet (E-LKPD) based on Problem Based Learning, student responses after using the Desmos E-LKPD, and the practicality of Desmos-based E-LKPD Problem-Based Learning was developed. From the research results it is known that: (1) Based on the aspect of critical thinking skills, the aspect of interpretation increases by 9%, the aspect of analysis increases by 18%, the aspect of evaluation increases by 42%, and the aspect of inference increases by 48%. (2) The results of the students' answers are included in the good category with a proportion of 80.31%. (3) The Problem Based Learning-based E-LKPD Desmos that has been developed has met the effective criteria in terms of the assessment of media experts, material experts, and user experts in the valid category, classical learning completeness has reached 80.65%, and Gain results of 0 .5 with medium category. The practicality test results get 92.18% in the very practical category.

How can android-based trigonometry learning improve the math learning process?

Using ICT-based interactive learning media is a learning method that strongly supports the teaching and learning process for students and teachers during the COVID-19 pandemic. This ICT-based learning media must be easily accessible to teachers and students, and one of the interactive media that is easily accessible is android-based learning media. This development research aims to design android-based learning media on valid trigonometric material and improve students’ mathematical critical thinking skills. This development research using the ADDIE model took 121 Ipeople consisting of expert validators, user (teacher), and students. The expert validators consisted of one mathematics education material expert and one ICT expert. Meanwhile, user represented by one mathematics teacher were involved in validating the use of the media design. In addition, there were participants from among students, which included 118 class X high school students throughout the Province of West Java, Indonesia, who took part in a limited trial phase of 20 people, an extensive trial of 50 people, and a product trial of 48 people. A sample of 118 students came from high school in the medium cluster. So, the reason for taking the sample represents the condition of students both on the island of Java and in Indonesia. The results showed that the developed android-based learning media was valid and could be used without revision with a combined percentage of 87.33%, with details of material experts at 84%, media experts at 92%, and validation by mathematics teachers at 86%. The results of the practicality test on students of 81% showed that the Android-based learning media design had a strong response, so the learning media made were very practical to use. The product test results show that the achievement of mathematical critical thinking skills of students who learn to use android-based learning media is better than those who learn not to use android-based learning media.

Effectiveness of TPACK-Based Multimodal Digital Teaching Materials for Mathematical Critical Thinking Ability

Technological Pedagogical Content Knowledge (TPACK)-based multimodal digital teaching materials need to be developed to maximize the implementation of learning in the era of technological and digital advances. This study is a pre-experimental one-group pretest-posttest design to analyze the effectiveness of learning by utilizing multimodal digital teaching materials for TPACK-based analytical geometry courses to improve mathematics critical thinking skills of fourth-semester students. The students were from the mathematics education study program at Universitas Muhammadiyah Sorong. Furthermore, the instrument used in collecting research data is a mathematical critical thinking skills test. The research data were analyzed with descriptive statistics and N-Gain. The results showed that implementing learning using multimodal digital teaching materials for analytical geometry courses with TPACK-based was quite effective. It increased mathematical critical thinking skills by 2.24 (56.11%), and the average N-Gain value was 0.62 (62%) which was included in the medium category.

Mathematical Critical Thinking Ability In Indonesia: Systematic Literature Review (SLR)

Mathematical critical thinking ability is one of the skills contained in 4C competencies that 21st-century students must possess. Many studies related to mathematical critical thinking skills have been carried out. The purpose of this research is to find out how the heterogeneity of studies related to the analysis of mathematical critical thinking skills in Indonesia based on the year of publication, education level, grade level, publication in journals indexed by sinta, the subject matter used in research, demographics, and indicators of critical thinking ability. The method used in this study is a Systematic Literature Review (SLR) based on a quantitative descriptive approach using the PRISM protocol, including the identification, screening, eligibility, and included stages. The results of the SLR research show that research related to the analysis of mathematical critical thinking skills with a qualitative approach was most published in 2021 and 2022. Most studies are carried out at the junior high school level with the research subjects of 7th and 8th graders in the branch of algebraic mathematics. The Java region dominates research on mathematical critical thinking skills with a qualitative approach of 73%, most widely published in Sinta 4 indexed journals. The indicators of critical thinking skills that students haven’t mastered were providing arguments or reasons in answering and drawing conclusions appropriately according to the context of the problem.

IMPROVING MATHEMATICAL CRITICAL THINKING ABILITY THROUGH AUGMENTED REALITY-BASED LEARNING

Through Augmented Reality-based learning, this study aims to improve mathematical critical thinking skills. Learning with Augmented Reality-based media in Unity 3D can be used both online and offline. This research is quantitative (quasi-experimental), with 30 students from SMPN 34 Pekanbaru class VII participating in the academic year 2022/2023. The research was conducted on triangle and quadrilateral material. The following methods were used to collect data: (1) a mathematical critical thinking ability test; (2) interviews; and (3) documentation. The test result data was statistically processed, whereas the interview and documentation data were processed descriptively. The findings revealed that students who learned using Augmented Reality media with Unity 3D improved their mathematical critical thinking skills.

IMPROVE STUDENTS' MATHEMATICAL CRITICAL THINKING SKILLS SUMATERA UTARA ISLAM: USING MODELS FOR PROBLEM-BASED LEARNING

This study's objective was to determine the effects of the problem-based learning model on students enrolled in the mathematics education program at the Islamic University of North Sumatra while they studied to improve their critical thinking skills. This type of quasi-experimental study aims to determine how the participant's parameters are affected by the treatment. "One-group pretest-posttest design" is the name of the study's approach. The research was carried out there with the participation of 35 students from the Mathematics Study Program at the Islamic University of North Sumatra. In this study, data were collected through tests and observations. A tool for data analysis is the t-test. A computer application named SPSS version 25.0 is used to process statistical data. According to the results, using the PBL learning model has an impact on students' mathematical critical thinking skills at the Islamic University of North Sumatra's Mathematics Education Study Program. The t-test significance value of 0.0001, which is less than 0.05, supports this.

EFFECTIVENESS OF PBL-BASED MOBILE LEARNING TO IMPROVE STUDENTS' CRITICAL THINKING SKILLS

The purpose of this research is to evaluate whether or not students in the eighth grade at SMP Negeri 2 Betara in the Tanjung Jabung Barat Regency can improve their mathematical critical thinking skills by using mobile learning that is based on problem-based learning (PBL). The participants in this research were all eighth-graders from one junior high school in the Tanjung Jabung Barat Regency. There were a total of 128 students included in this study, and they were distributed across four classes. The sample was selected from as many as two classes, specifically VIIIA with a total of 28 students serving as the experimental group and VIIIB with a total of 28 students serving as the control group. The analysis of the data reveals that the Zcount value is 10,099, and the significance value is 0.000< 0.005; these values were determined to be significant. Therefore, the working hypothesis or alternative hypothesis that was proposed in this study is accepted. It states that there is a difference in the average critical thinking of students who use PBL-based mobile learning compared to students who use standard teaching materials. While the null or nil hypothesis, which states that "there is no difference in the average critical thinking of students who use PBL-based mobile learning and students who use conventional teaching materials," is rejected.

CRITICAL THINKING ABILITY OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING MATHEMATICS QUESTIONS OF THE NATIONAL SCIENCE COMPETITION

Critical thinking ability is the ability to identify problems, evaluate and develop arguments and solve problems appropriately. Critical thinking must be mastered as a fundamental ability that students must possess. One strategy that can develop students' critical thinking skills is giving problem-solving tasks, such as KSN questions. The KSN questions have more complex problems and a very high difficulty level. This study aimed to measure students' critical thinking in solving the problems of the National Science Competition (KSN) in the field of Mathematics. This research is qualitative descriptive research. The research subjects were three 8th-grade students who were members of the competition team of Public Junior high School 3 Siak Kecil. The data collection technique was in the form of a written test to measure students' critical thinking skills. The results showed that students had good mathematical critical thinking skills. Overall, students can investigate the context of the problem (interpretation), model or formulate mathematical problems (analysis), develop answer concepts by applying appropriate strategies (evaluation), and write conclusions (inference). The results of the data analysis concluded that of the three students who took the test, S-1 had excellent critical thinking skills