scholarly journals The students’ mathematical critical thinking process reviewed from the cognitive style

2019 ◽  
Vol 1188 ◽  
pp. 012082
Author(s):  
D Muhtadi ◽  
Supratman ◽  
R Hermanto
Author(s):  
Buaddin Hasan

This study aimed to describe the process of critical thinking of students in solving mathematical problems in algebraic viewed from the differences in cognitive styles-Verbalizer Visualizer. The description of the thinking process was based on Polya’s problem-solving indicator namely understanding the problems, developing plans, implementing problem-solving activities, and to re-examining the results obtained. The research instrument includes the researcher himself, tests of cognitive style, problem-solving task, and the interview guideline. The data analysis was performed by means of data reduction, data presentation, interpretation of data, and drawing conclusions. The study concluded that the visualizer subject disclosed the acknowledged information and asked to use the images and algebraic notation, used a variety of strategies to solve problems, performed calculations by taking into account the things we need and recheck the answer in detail. Verbalizer Subject, however, was able to disclose the acknowledged information and questioned using mathematics formula without using pictures and notation. In terms of making plans for the completion, the subject merely used one step-finishing process. In determining the final outcome, verbalizer subject rechecked every step of the finishing by recalling and paying attention to the proper answers


2018 ◽  
Vol 6 (1) ◽  
pp. 11 ◽  
Author(s):  
Sintha Sih Dewanti

Abstrak Tujuan penelitian ini adalah untuk mendeskripsikan profil berpikir kritis mahasiswa PGMI UIN Sunan Kalijaga Yogyakarta dalam memecahkan masalah matematika dasar. Pemecahan masalah merupakan proses mental tingkat tinggi dan memerlukan proses berpikir yang lebih kompleks termasuk berpikir kritis. Pemecahan masalah juga mempunyai hubungan timbal balik dengan berpikir kritis. Berpikir kritis pada penelitian ini mengacu pada berpikir kritis dengan kriteria FRISCO. Jenis penelitian ini adalah penelitian deskriptif dengan pendekatan kualitatif. Pada penelitian ini diambil 9 subjek penelitian, yaitu 3 subjek pada kemampuan matematika dasar tinggi, sedang, dan rendah. Pengumpulan data dilakukan dengan pemberian soal pemecahan masalah dan wawancara. Ada 5 tipe masalah yang digunakan dalam soal pemecahan masalah yaitu: simple translation problem, complex translation problem, process problem, applied problem, dan puzzle problem. Profil berpikir kritis mahasiswa dalam memecahkan masalah matematika dasar menurut kriteria FRISCO pada setiap langkah pemecahan Polya sebagai berikut: a) Mahasiswa dengan KPM tinggi mengetahui fokus, alasan, situasi dan kejelasan dalam setiap tahap pemecahan masalah juga menjelaskan inferensinya pada setiap tahap pemecahan masalah Polya pada simple translation problem, complex translation problem, dan applied problem, tetapi belum dapat untuk 2 masalah lainnya; b) Mahasiswa dengan KPM sedang, mengetahui fokus, alasan, situasi dan kejelasan dalam setiap tahap pemecahan masalah juga menjelaskan inferensinya pada setiap tahap pemecahan masalah Polya pada simple translation problem dan applied problem tetapi belum dapat untuk 3 masalah lainnya; dan c) Mahasiswa dengan KPM rendah, mengetahui fokus, alasan, inferensi, situasi, klarifikasi dan memeriksa kembali pada setiap langkah pemecahan masalah Polya pada masalah simple translation problem, dan belum dapat pada puzzle problem, sedangkan untuk 3 masalah lainnya mengetahui fokus dan alasan hanya sampai pada langkah melaksanakan strategi, tetapi belum dapat mengetahui inferensinya. Kata kunci: berpikir kritis, pemecahan masalah, kemampuan matematika dasar Abstract The purpose of this research is to describe the critical thinking profile of PGMI UIN Sunan Kalijaga Yogyakarta students in solving basic mathematics problems. Problem solving is a high level mental process and requires a more complex thinking process including critical thinking. Problem solving also has a reciprocal relationship with critical thinking. Critical thinking in this study refers to critical thinking with the FRISCO criteria. The type of this research is descriptive research with qualitative approach. In this study, 9 subjects taken, that is 3 subject to the ability of high-basic mathematic, medium, and low. Data was collected by way of tests and interviews. There are 5 types of problems used in problem solving tests: simple translation problem, complex translation problem, problem process, applied problem, and puzzle problem. The profile of critical thinking of students in solving basic mathematics problems according to FRISCO criteria at each polya solving step as follows: a) Students with high problem solving abilitys know the focus, reason, situation and clarity in every problem solving step also explain the inferences at each stage of solving Polya problem on simple translation problem, complex translation problem, and applied problem, but not yet for 2 other problems; b) Students with medium problem solving abilitys know the focus, reason, situation and clarity in each stage of problem solving also explain the inferences at each stage of polya problem solving on simple translation problem and applied problem but not yet for the other 3 problems; and c) Students with low problem solving abilitys know the focus, reason, inference, situation, clarification and re-examine each step Polya problem solving on the problem of simple translation problem, and not yet in the puzzle problem, while for 3 other problems know the focus and reason only to the step of implementing the strategy, but not yet know the inferences. Keywords: critical thinking, problem solving, basic math ability


Obiter ◽  
2014 ◽  
Author(s):  
Theo Broodryk

This article will explore the use of writing-intensive courses across the law curriculum, vested in the belief that writing, as an articulation of thinking, enhances learning where it is meaningfully and intentionally embedded into a course structure. The article commences by pointing out that law students often regard the writing process and the critical thinking process as mutually exclusive and therefore fail to appreciate that writing is in fact the end-result of a process of argumentation or analysis. As a result of students‟ inability to engage effectively in a process of critical thinking, they tend to reach closure too quickly when presented with a critical-thinking problem. Consequently, students often fail to engage in a process of exploratory thinking, enabling them to suspend judgment and to enter into the spirit of opposing views. The article specifically focuses on the writing strategy recently implemented by the Faculty of Law, Stellenbosch University with the primary aim of establishing a coordinated approach to the development of research and writing skills within the LLB programme as an integral part of legal education within the Faculty. The Strategy is intended to enhance the writing and research skills of LLB students through a number of interrelated interventions implemented across the entire LLB programme. A principal aim is to inculcate both generic and specific writing skills in LLB graduates in a manner that is integrated into the curriculum. A key component of the Strategy, on which the article will focus, entails the identification and development of writing-intensive courses in terms of which writing and research assignments are integrated into substantive courses. Writing-intensive courses support the notion of “writing to learn” as opposed to “learning to write” and thus encourage critical thinking. They are assignment-centred rather than text- and lecture-centred; they are structured so as to enable exploratory thinking (and thus writing); they encourage students to become actively involved in their own learning processes; and they consist of assignments that require students to arrive at well-reasoned conclusions and solutions, testing them against relevant criteria and standards, justifying their ideas in writing or other appropriate modes. In these courses, students are instructed on writing skills alongside the substantive content of the particular course and given exercises to develop such skills with reference to the substantive content of the course. Each course is focused on specific writing skills and successive courses are focused on developing these skills. The article concludes by dealing with the practical difficulties and benefits associated with the development of writing-intensive courses, one of which is the fact that students not only develop generic writing skills, but they also develop specific writing skills within the academic discourse of our environment – they therefore do not only learn to write, but to write in law.


2020 ◽  
Vol 1613 ◽  
pp. 012055
Author(s):  
M Izzatin ◽  
S B Waluyo ◽  
Rochmad ◽  
Wardono

2020 ◽  
Vol 10 (2) ◽  
pp. 271
Author(s):  
Syamsul Arifin ◽  
Punadji Setyosari ◽  
Cholis Sa’dijah ◽  
Dedi Kuswandi

The purpose of this research is to compare the effectiveness of learning models to develop student critical thinking skills and retention in mathematics through the application of Problem Based Learning (PBL) models and multimedia assisted Direct Instruction (DI) models for students who have different cognitive styles. This research is quasi-experimental type, using non-equivalent control group design. Subject of this research are students in three different senior high school with two class samples in each school. There are 102 students of control class with Direct Instruction learning model by multimedia and 97 students of experiment class with Problem Based Learning model. The instrument of this research are test and questionnaires. The findings of this research are that there are significant differences in student critical thinking skills and retention between groups of student with Field Dependent (FD) and Field Independent (FI) cognitive styles and also between group of student with Direct Instruction model and Problem Based Learning model. Each learning model has interaction with critical thinking skills but not student retention. This research is useful for educators to develop students critical thinking skills processes with an effective learning model approach especially for senior high school students. The educators can know the interaction of cognitive styles with student retention, the extent to which cognitive styles are able to have an impact on student retention. This research provides knowledge an effective learning model to develop critical thinking skills and retention of student both Field Dependent and Field Independent cognitive style. Based on cognitive style, Field Independent students have higher retention and critical thinking skills compared to Field Dependent students.


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