scholarly journals Students’ Mathematical Thinking and Comprehensive Mathematics Instruction (CMI) Model

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Nita Delima ◽  
Yaya S. Kusumah ◽  
Siti Fatimah

Several facts about learning mathematics in high school, show that students' mathematical thinking skills are still low. Therefore, there needs to be an effort to increase these variables, considering that these variables are very important in supporting students' academic achievement. This study discusses the application of a comprehensive mathematics instruction (CMI) model in mathematics learning as an effort to improve students' mathematical thinking. This research is a quasi-experimental research. The sample was taken purposively from the population of high school students in Subang Regency, West Java, Indonesia. The instruments used in the research consisted of a mathematical thinking ability test and an observation sheet. Mathematical thinking ability is built by four important aspects, namely specializing, generalizing, conjecturing and convincing. The CMI model is a learning model that accommodates three stages, namely develop, solidify and practice. Each of these stages provides the opportunity for students to develop specializing, generalizing, conjecturing and convincing aspects. The results showed that the CMI model can improve students' mathematical thinking abilities. Thus, the CMI model deserves to be used as an innovation in mathematics learning.

Author(s):  
Taufik Rahman

The ability analyzed in this study is the ability to think critically mathematically. This ability is considered very important as written is the goal of mathematics learning from the Ministry of National Education which states that the development of critical thinking skills is the focus of learning and becomes one of the graduation standards of high school students. It is desirable, high school graduates, have the ability to think logically, analytically, systematically, critically, and creatively, and have the ability to work together. This study aims to determine the improvement of mathematical critical mathematical thinking skills of students in one of the Vocational Schools in Bandung between those who obtain problem-based learning with those who obtain conventional learning. The sample in this study was one Vocational School in Bandung, which was selected by 2 classes, namely the first class obtained problem-based learning and the second class received conventional learning. The method in this study is a quasi experiment. The instrument in this study was a test instrument in the form of a description and consisted of 6 questions. The results of this study are improved mathematical critical thinking skills of students who get problem-based learning better than students who get conventional learning


2020 ◽  
Vol 2 (2) ◽  
pp. 176-191
Author(s):  
Benny Anggara

The need for developing students' higher order thinking skills is the main indicator in the application of HOTS-based questions in high school mathematics learning. The results of the implementation have not shown satisfactory results. The high level thinking ability of students in Indonesia in Mathematics is still very low. Therefore, a HOTS-based diagnostic test is needed which is able to detect the mathematical misconceptions of high school students as the aim of this study. Based on the research objectives, the method of this study is a qualitative method with research design using the Plomp model research design. The subjects of this study were several students and teachers at a school in Cirebon Regency. The results showed that four HOTS questions could be developed based on three aspects, namely, arithmetic, algebra, and geometry. The problem was developed to detect three forms of misconception, namely, theoretical, classification, and correlational misconceptions. The four questions that have been developed were assessed through the readability test of students and teachers, and CVR and CVI tests were carried out on eight mathematics teachers with valid results. Based on these results it can be concluded that the HOTS questions developed can be implemented for students to detect forms of mathematical misconceptions of high school students. 


2020 ◽  
Vol 4 (4) ◽  
pp. 748
Author(s):  
Elvitri Nofriza ◽  
Usman Rery ◽  
Asmadi M Noer

The development of technology today has a huge impact on education, especially in the learning process. Therefore, an educator must be able to adapt the learning process to technological developments. One way to apply technology development in learning systems is to use e-modules in the learning process. The purpose of this study is to use guided inquiry-based e-modules to see the magnitude of the increase in students' critical thinking skills in the material reaction rate after using guided inquiry-based e-modules. The research method used a quasy experiment with a pretest-postest design using two classes as the experimental class and the control class. The sample in this study were students of State Senior High School (SMAN) 1 Sebrida Indragiri Hulu class XI. The results obtained were an increase in students' critical thinking abilities from before the use of guided inquiry-based e-modules. After the use of e-module based guided inquiry. This increase is seen from the comparison between the experimental class and the control cash class. The experimental class using e-module has a higher critical thinking ability of students than the control class that does not use e-module in the learning process.


2017 ◽  
Vol 4 (2) ◽  
pp. 186
Author(s):  
Aan Hendrayana

Pemahaman Konseptual Matematis (PKM)  memiliki peran penting karena dengan kemampuan ini siswa mudah dalam membangun hubungan untuk memahamai ide dan konsep baru. Kemampuan PKM ini dapat ditumbuh-kembangkan melalui pembelajaran di kelas. Untuk mencapai kecakapan tersebut, pembelajaran perlu memperhatikan keberagaman siswa karena pembelajaran yang mengakomodasi keberagaman menjadi lebih efektif, efesien, dan menarik. Keberagam tersebut dapat berupa Gender (G), Kemampuan Awal Matematika (KAM) dan Gaya Belajar Matematis (GBM) siswa. Salah satu pendekatan pembelajaran yang mengakomodir keberagaman ialah pembelajaran pendekatan Rigorous Mathematical Thinking (RMT). Artikel ini bertujuan untuk mengkaji kemampuan PKM siswa SMP yang memperoleh pembelajaran pendekatan RMT ditinjau dari : a). Gender, b). KAM siswa, dan c). GBM siswa. Penelitian ini merupakan penelitian eksperimen pada siswa SMP di salah satu sekolah di Bandung. Salah satu hasil yang penting adalah dengan pembelajaran ini menjadikan siswa dengan KAM sedang dan rendah dapat mencapai kemampuan yang baik. The Effect of Rigorous Mathematical Thinking (RMT) Learning Approach On Students’ Understanding of Mathematical Concepts AbstractAn understanding of mathematical concepts (PKM) has an important role because with this ability students are easy in building relationships to understand new ideas and concepts. The ability of PKM can be grown-developed through learning in the classroom. To achieve these skills, learning needs to pay attention to the diversity of students because learning that accommodates diversity becomes more effective, efficient, and engaging. Such diversity can be Gender (G), An initial mathematical ability (KAM) and students’ mathematics learning styles (GBM). One approach to learning that accommodates diversity is the Rigorous Mathematical Thinking (RMT) learning approach. This article aims to examine the ability of junior high school students who have learned RMT approach in terms of: a). Gender, b). students’ KAM, and c). students’ GBM. This research is an experimental research on junior high school students in one school in Bandung. One important result is that this learning engages students with medium and low of KAM able to achieve good abilities.


2018 ◽  
Vol 1 (4) ◽  
pp. 673
Author(s):  
Nina Lestari ◽  
Riki Andriansyah ◽  
Dinar Nur Azizah ◽  
Sopian Lukman ◽  
Wahyu Hidayat

The ability to think critically is one of the highest levels of ability. Developing critical thinking skills in students is still considered important to be improved in schools so that students are able and accustomed to facing various problems around it. This study aims to analyze the critical thinking skills of junior high school students who are in excellent classes and regular classes. This research was conducted in Bandung Barat. In this study students are given a test in the form of questions with critical thinking skills, the problem is used to compare between the superior class and ordinary class. Assessment of the problem using several factors of critical ability include 1) students can not understand the problem correctly, 2) students rush in doing the problem, 3) the students cannot choose the problem-solving strategy correctly and 4) the students work on the problem systematically. Then the matter of critical thinking skills of mathematics is analyzed using quasi-experimental research method to analyze students' critical thinking ability that influence learning result. This study shows the differences in critical thinking ability of junior high school students who are in excellent class and ordinary class. This study shows that superior classes are better in mathematical critical thinking ability than a regular class. The results of this study can add knowledge about critical thinking mathematics junior high school students who are in the class and ordinary class and used to facilitate for educational practitioners in the development of critical mathematical thinking skills.


Author(s):  
U H Thohari ◽  
Madlazim Madlazim ◽  
Y S Rahayu

This research is aimed to develop learning device of Guided Discovery model with PhET simulation to trill students critical thinking skill. This research uses 4D development model and tested on 15 students of class XII IPA with test design using one group pretest-posttest design. Learning tools developed include: (a) syllabus (b) RPP, (c) student books, (d) LKS, and (e) tests students' critical thinking skills. Research data obtained through validation method, observation, test, and questionnaire. The results are analyzed descriptively quantitative and qualitative. The students' critical thinking ability is analyzed by n-gain. The result of the research shows that (a) learning device developed categorized is very valid, (b) learning activity is done very well, (c) critical thinking ability of students have moderate improvement, and (d) students respond very positively to learning which has been implemented. Based on the results of the analysis and discussion, it was concluded that the learning device of Guided Discovery with PhET simulation model developed is feasible to be used for trained critical thinking skills of high school students.


Author(s):  
Mirunnisa Mirunnisa ◽  
Zulfa Razi

The ability to think critically in mathematics, especially high-level mathematical critical thinking, is needed by students so that students are able to face changing circumstances or challenges that exist in life that is always developing. Graded response models (GRM) are used in order to display the estimated item parameters and students' abilities. This research is a descriptive study with a qualitative approach. Subjects in this study using SMA Simpang Tiga in terms of their mathematical critical thinking skills. Subjects were taken using a mathematical critical thinking ability test, then processed through Microsoft Excel to obtain a Graded Response Models (GRM) graph.Based on data analysis Students can be categorized as highly skilled, in general students can determine the concept of the problem correctly, are able to formulate problems in solving problems, are able to provide reasons and arguments clearly, but students are less able to evaluate problems in solving problems. Students who are categorized as having moderate ability, students can determine the concept of the problem correctly, are able to formulate problems, but students are less clear in providing reasons and arguments clearly, and are less able to evaluate the problems contained in solving problems. Students who are categorized as low, students are able to determine the concept correctly, but students are less able to formulate problems, and students are unable to provide clear reasons.


2019 ◽  
Vol 12 (2) ◽  
pp. 117 ◽  
Author(s):  
Sriyanti Mustafa ◽  
Vernita Sari ◽  
Baharullah Baharullah

The ability to think mathematically includes many mental activities which involve the workings of the brain. To describe students’ mathematical thinking ability, one of the efforts that can be done is to apply the mathematical problem-based learning model. It involves students to solve a problem through scientific method stages, so that students can learn the knowledge related to the problem and also have the ability to solve the problem. This study aims to describe students’ mathematical thinking ability through Mathematical Problem-Based Learning Model.This type of research is qualitative. The subjects of the study were senior high school students in the city of Parepare. The data collections were conducted by observing the learning process in class and giving the assignment/test to the students. The collected data were then analyzed qualitatively. Based on the results of research and discussion it is concluded that the students ability to think have sequences in the activities of mathematical thinking with the application of mathematical problems-based learning model. Therefore, the students’ mathematical thinking ability is described as follows: (1) identification stage of the problem, (2) the grouping stages, and (3) drawing conclusions.


Sign in / Sign up

Export Citation Format

Share Document