scholarly journals Students’ cognitive style in mathematical thinking process

2020 ◽  
Vol 1613 ◽  
pp. 012055
Author(s):  
M Izzatin ◽  
S B Waluyo ◽  
Rochmad ◽  
Wardono
Keyword(s):  
Cognitive Style ◽  
Mathematical Thinking ◽  
Thinking Process

scholarly journals Mathematical Thinking Process of Autistic Students in Terms of Representational Gesture

2016 ◽  
Vol 9 (6) ◽  
pp. 93 ◽  
Author(s):  
Sriyanti Mustafa ◽  
Toto Nusantara ◽  
Subanji Subanji ◽  
Santi Irawati
Keyword(s):  
Facial Expressions ◽  
Learning Process ◽  
Mathematical Thinking ◽  
Digital Camera ◽  
Qualitative Approach ◽  
Recording Process ◽  
Data Collecting ◽  
Students With Autism ◽  
Thinking Process

<p class="apa">The aim of this study is to describe the mathematical thinking process of autistic students in terms of gesture, using a qualitative approach. Data collecting is conducted by using 3 (three) audio-visual cameras. During the learning process, both teacher and students’ activity are recorded using handy cam and digital camera (full HD capacity). Once the data is collected (the recording process is complete), it will be analyzed exploratively until data triangulation is carried out. Results of this study describes the process of mathematical thinking in terms of a gesture of students with autism in three categories, namely correctly processed, partially processed, and contradictory processed. Correctly processed is a series of actions to solve the problems that are processed properly marked with a matching gesture, partially processed is a series of actions to resolve problems with partially processed properly marked with discrepancy gesture, while contradictory processed is a series of actions to solve the problems that are processed incorrectly marked with the dominance of discrepancy gesture. Matching gesture demonstrate the suitability of movement or facial expressions when observing, pointing, and uncover/calling the object being observed, while the discrepancy gesture indicates a mismatch movements or facial expressions when observing, pointing, and uncover/calling the object being observed.</p>

scholarly journals KARAKTERISTIK BERPIKIR KREATIF SISWA KELAS VII SMP N 1 KRAGAN DALAM MEMECAHKAN DAN MENGAJUKAN MASALAH MATEMATIKA MATERI PERBANDINGAN DITINJAU DARI GAYA KOGNITIF

2014 ◽  
Vol 4 (2) ◽  
Author(s):  
Dian Fitri Argarini ◽  
Budiyono Budiyono ◽  
Imam Sujadi
Keyword(s):  
Cognitive Style ◽  
Creative Thinking ◽  
Sampling Technique ◽  
The Other ◽  
Incubation Stage ◽  
Embedded Figures Test ◽  
Field Independent ◽  
Field Dependent ◽  
Preparation Stage ◽  
Thinking Process

<p><strong>Abstract:</strong> The research objectives were to determine and to describe creative thinking characteristic of 7<sup>th</sup> grade students of SMP N 1 Kragan in solving and proposing problem at comparative case seen from the cognitive style. This research belonged to descriptive research by qualitative-explorative approach. The sample was taken by purposive sampling technique. The subjects being used in this research were 4, those were 2 students with field dependent cognitive style and 2 students with field independent cognitive style. The subject grouping based on cognitive style was taken by group embedded figures test. There were two instruments that were used to collect the data of this research. The first instrument was solving and proposing problem test instrument. The second was interview guidance. They were validated by using the time triangulation test and the reference fulfillment. The data were analyzed using a Miles and Huberman’s concept, that was data reduction, presentation, and conclusion.. The results of this research show as follows, (1) Creative thinking characteristics of students who had field dependent cognitive style in solving and proposing problem were as follows. The fluency aspect was shown by the students through 4 stages of creative thinking process, both in solving and proposing the problem. The four stages were preparation stage, incubation stage, illumination stage, and verification stage. The flexibility aspect in solving problems appeared when the students gave the other alternative answer, whereas this aspect was not fulfilled in proposing the problems.  The originality aspect was not fulfilled in solving and proposing problems. (2) Creative thinking characteristics of students who had field independent cognitive style in solving and proposing problem were as follows. The fluency aspect was shown by the students through 4 stages of creative thinking process, both in solving and proposing the problem. The four stages were preparation stage, incubation stage, illumination stage, and verification stage. The flexibility aspect in solving problems was shown when the students gave the other alternative answer, while in proposing the problem this aspect was not completed because students were able to make only one question. The originality aspect in solving the problem could be seen when the students gave a new way solution and this  was different from the previous one. Meanwhile in proposing the problems, aspet of originality was not fulfilled.</p><p><strong>Keywords</strong>:   creative thinking characteristics, solving  problems, proposing problems, cognitive style</p>

scholarly journals Effectiveness of Tangent Equation Curve Learning through GeoGebra Software Assisted Module to Improve Student’s Creative Mathematical Thinking Skills

2020 ◽  
Vol 1 (8) ◽  
Author(s):  
Nurjannah Nurjannah ◽  
Muhammad Subianto ◽  
Zainal Abidin
Keyword(s):  
Creative Thinking ◽  
Mathematical Thinking ◽  
Descriptive Analysis ◽  
Thinking Skills ◽  
Software Module ◽  
Learning Mathematics ◽  
Teachers And Students ◽  
Thinking Process ◽  
High Level ◽  
Creative Thinking Ability

The Curriculum of 2013 mandates that learning carried out by teachers in the classroom can foster a high-level thinking process including the ability to think creatively. Modules that can help creative students have been developed but not as good as the help of the GeoGebra Software module that can promote student’s creative thinking. This research focuses on the effectiveness of the tangent equation curve module GeoGebra Software assisted which aimed to make the students have the ability to think creatively. The subjects of the research were students of class XI of SMA 3 Banda Aceh. The instruments carried out in this research were creative thinking questions and observation sheets. Data analysis was performed by using descriptive analysis techniques. This research showed that the students' mathematical creative thinking ability was 85.98% which included in very good and good category, and overall student activity reached 91.1%. it means that the activities of students have run well. In conclusion, the teachers and students can use this module to improve mathematical creative thinking skills and the interest of students in learning mathematics assisted by GeoGebra software.

scholarly journals MATHEMATICAL THINKING PROCESS IN GRAPH THEORY MATERIAL IN TERMS OF STUDENT LEARNING STYLES

2020 ◽  
Vol 4 (5) ◽  
pp. 1046
Author(s):  
Hetty Patmawati
Keyword(s):  
Graph Theory ◽  
Learning Styles ◽  
Student Learning ◽  
Learning Style ◽  
Mathematical Thinking ◽  
Visual Learning ◽  
Conceptual Thinking ◽  
Thinking Process ◽  
Thinking Processes ◽  
Student Learning Styles

This research is motivated by the lack of understanding  students have in working on graph theory material problems due to differences in students' thinking processes, and  student learning styles when studying discrete mathematics, which requires different thinking with Boolean algebra material. Each student has a different way of thinking skills and learning style. This study uses descriptive qualitative methods so that this study has the objective to find out how the students' mathematical thinking processes in working on graph theory material problems and what obstacles are experienced by students in terms of their learning styles. The focus of research in this study, namely to analyze mathematical thinking processes on graph theory material in terms of student learning styles. The instruments in this study were researchers and also graph theory test questions that were used to view students' thought processes. The research subjects were 5 semester students, as many as 3 people with visual, auditory and kinesnetik learning styles. Then given the problem of graph theory as much as 2 questions, one question in the form of text and another in the form of images. The results show that students with visual learning styles tend to be included in students who have a conceptual thinking process, students with auditory learning styles tend to be included in students who have semi-conceptual thinking processes, while students with kinesthetic learning styles, including students who have computational thinking process . Barriers experienced by students include the lack of understanding of the basic concepts of graph theory and the trajectories and trajectories of Euler and Hamilton.

scholarly journals The Spatial Thinking Process of the Field-Independent Students based on Action-Process-Object-Schema Theory

2021 ◽  
Vol 10 (4) ◽  
pp. 1807-1823
Author(s):  
Henry Suryo ◽  
Y.L. Sukestiyarno ◽  
Mulyono Mulyono ◽  
Walid Walid
Keyword(s):  
Cognitive Style ◽  
Internal Representation ◽  
Schema Theory ◽  
Spatial Thinking ◽  
External Representation ◽  
Apos Theory ◽  
Field Independent ◽  
Thinking Process ◽  
Thinking Processes ◽  
Action Process

<p style="text-align: justify;">Spatial thinking has roles to facilitate learners to remember, understand, reason, and communicate objects and the connections among objects that are represented in space. This research aims to analyze the spatial thinking process of students in constructing new knowledge seen from the field-independent cognitive style learners based on Action-Process-Object-Schema (APOS) theory. APOS theory is used to explore spatial thinking processes which consist of mental structures of action, process, object, and schema. This research is qualitative research with an exploratory method. It provided the students' opportunity to solve problems alternately until the method found the most appropriate subjects for the research objectives. The subjects were 2 students of Mathematics Education in the fourth semester of Universitas Muria Kudus Indonesia. The data collection techniques were started by distributing the validated and reliable spatial thinking questions, the cognitive style question, and the interview. The applied data analysis consisted of data reduction, presentation, and conclusion. The findings showed (1) spatial thinking process of holistic-external representation typed learners were indicated by the representative thinking element, abstract-illustrative figure expression to communicate and complete the tasks correctly, (2) spatial thinking process of the holistic-internal representation typed learners were indicated by the representative means, having ideas, connecting with the previous knowledge in the forms of symbols and numbers, and finding the final results correctly although incomplete.</p>

scholarly journals Emphasizing the Teaching Exploration and Practice of Cultivating College Students’ Mathematical Thinking Ability

2019 ◽  
Vol 3 (2) ◽  
pp. 97
Author(s):  
Zhenzhen Liu
Keyword(s):  
College Students ◽  
Mathematics Education ◽  
Mathematics Teaching ◽  
Mathematical Thinking ◽  
New Methods ◽  
Educational Concept ◽  
Thinking Ability ◽  
Thinking Process

<p>Mathematics education in essence belongs to thinking education, which is the positioning of mathematics education in modern educational concept. In order to cultivate students' mathematical thinking ability, this paper analyzed the thinking process of mathematics teaching and made a sufficient study on the ways to cultivate students' ability to discover new things, reveal new laws, create new methods and solve new problems.</p>

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