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

<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>

Author(s):  
Econ Kabiran ◽  
Theresia Laurens ◽  
Johannis Takaria

This study aims to describe the thinking process of students in solving mathematical problems of triangular and quadrilateral material in terms of cognitive style. The thinking process in this study is the steps taken by students involving mental activities in solving problems related to problem solving. The process of thinking in this study there are three kinds, namely conceptual thinking, semi-conceptual thinking and computational thinking. This research is a qualitative descriptive study. The subjects in this study were grade VII students consisting of four students with details of each two students from the Field Independent (FI) cognitive style and two students from the Field Dependent cognitive style (FD). Data collection techniques used in this study were mathematical tests and interviews. Data on the results of mathematical tests and interviews were analyzed based on indicators suitable with the conceptual thinking process, semi-conceptual thinking process and computational thinking process. From the results of data analysis, it was found that the students' thinking processes in solving mathematical story problems in the Field Independent group is the conceptual and semi-conceptual thinking processes. And students' thinking processes in solving mathematical story problems in the Field Dependent group tend to be semi-conceptual and computational thinking processes.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 128-135
Author(s):  
Dinda Ayu Rachmawati ◽  
Tatag Yuli Eko Siswono

Understanding is constructed or reconstructed by students actively. APOS theory (action, process, object, schema) is a theory that states that individuals construct or reconstruct a concept through four stages, namely: action, process, object, and scheme. APOS theory can be used to analyze understanding of a mathematical concept. This research is a qualitative research which aims to describe impulsive and reflective students’ understanding to linear equations system based on APOS theory. Data collection techniques were carried out by giving Matching Familiar Figure Test (MFFT) and concept understanding tests to 32 students of 8th grade in junior high school, then selected one subject with impulsive cognitive style and one subject with reflective cognitive style that can determine solutions set and solve story questions of linear equation system of two variables correctly, then the subjects were interviewed. The results show that there were differences between impulsive and reflective subjects at the stage of action in explaining the definition and giving non-examples of linear equation system of two variables, show the differences in initial scheme of two subjects. At the process stage, impulsive and reflective subjects determine solutions set of linear equation system of two variables. At the object stage, impulsive and reflective subjects determine characteristics of linear equation system of two variables. At the schema stage, impulsive and reflective subjects solve story questions of of linear equation system of two variables, show the final schematic similarity of two subjects.Keywords: understanding, APOS theory, linear equations system of two variables, impulsive cognitive style, reflective cognitive style.


Author(s):  
Dian Fitri Argarini ◽  
Budiyono Budiyono ◽  
Imam Sujadi

<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>


2020 ◽  
Vol 5 (1) ◽  
pp. 40-52
Author(s):  
Arnindia Via Mawardi ◽  
Aning Wida Yanti ◽  
Yuni Arrifadah

The students’ thinking process when solving HOTS questions in mathematics National Examinations very necessary to know. There are three types of students’ thinking processes used in this study, namely conceptual thinking, semi-conceptual thinking, and computational thinking. This study aims to describe in detail about field-independent and field-dependent students' thinking process when solving HOTS questions in the 2018 Mathematics National Examination. The research subjects were six 8th grade students, consisting of 3 students on each cognitive style. Data collection techniques are written test and interview. The written test and interview results data are analyzed according to indicators of the thinking process. The results of this study indicate that the field independent students' thinking process is conceptual while dependent students are computational.


Author(s):  
Ardi Dwi Susandi ◽  
Santi Widyawati

The process of thinking is the steps that a person uses in receiving, processing, concluding, and reusing the information obtained to resolve the issues related to solve the problem of the memory. While cognitive style is an activity that became a characteristic of learners in the functioning of mental activities in the field of cognitive (thinking, remembering, processing information, organizing, solving problems, and making decisions) which is consistent. Cognitive style has a major role when utilized in an effort to improve the effectiveness of the learning process. Cognitive styles are divided into two, namely, Field Independent (FI) and Field Dependent (FD). This research is descriptive qualitative which describes the process of thinking of students in solving mathematical problems on material combinations and permutations. The data collection method in this study using GEFT tests to determine cognitive styles of students, test description of material combinations and permutations to obtain the thinking process of students, and interviews. Based on cognitive style, students are grouped into 2 groups: FI and FD, and then subsequently selected two students from two groups of students from the FI and FD to give test of thinking ability and then interviews. Data analysis technique used Miles and Huberman, data reduction, display, and conclusion drawing / verification. Based on the analysis we concluded that students who have the cognitive styles FI tend to have a conceptual thought process. Likewise, students who have the cognitive style FD, these students are also likely to have a conceptual thought process. The process of conceptual thinking is the thought process which solves problems by using the concept that has been owned by the results of studies.


1981 ◽  
Vol 139 (1) ◽  
pp. 52-58 ◽  
Author(s):  
Katharine R. Parkes

SummaryThe extent to which anxiety, irritability and depression were differentiated as separate entities associated with characteristic patterns of somatic and cognitive symptoms by field dependent (FD) and field independent (Fl) normal female subjects was studied with the Hidden Figures Test and Unpleasant Emotions Questionnaire. In the Fl group the correlations between the three emotions were low and non-significant, reflecting a clear-cut differentiation in symptom configuration, as shown by psychiatrists. In the FD group the inter-correlations were significant and positive, corresponding to relatively poor symptom differentiation, comparable to that of a psychiatric patient group. This suggests that the cognitive style variable of field dependence may underly differences in symptom differentiation associated with psychiatrist/patient differences and, more generally, with social class and sex differences.


Author(s):  
Vilson J. Leffa

A typical problem in the resolution of pronominal anaphora is the presence of more than one candidate for the antecedent of the pronoun. Considering two English sentences like (1) "People buy expensive cars because they offer more status" and (2) "People buy expensive cars because they want more status" we can see that the two NPs "people" and "expensive cars", from a purely syntactic perspective, are both legitimate candidates as antecedents for the pronoun "they". This problem has been traditionally solved by using world knowledge (e.g. schema theory), where, through an internal representation of the world, we "know" that cars "offer" status and people "want" status. The assumption in this paper is that the use of world knowledge does not explain how the disambiguation process works and alternative explanations should be explored. Using a knowledge poor approach (explicit information from the text rather than implicit world knowledge) the study investigates to what extent syntactic and semantic constraints can be used to resolve anaphora. For this purpose, 1,400 examples of the word "they" were randomly selected from a corpus of 10,000,000 words of expository text in English. Antecedent candidates for each case were then analyzed and classified in terms of their syntactic functions in the sentence (subject, object, etc.) and semantic features (+ human, + animate, etc.). It was found that syntactic constraints resolved 85% of the cases. When combined with semantic constraints the resolution rate rose to 98%. The implications of the findings for Natural Language Processing are discussed.


2019 ◽  
Vol 12 (2) ◽  
pp. 109-121
Author(s):  
Surya Enjang Krisdiantoro ◽  
Erlina Prihatnani

[English]: Mathematics learning should facilitate students' construction of knowledge. In constructing mathematics knowledge, students involve various types of thinking processes and styles. This qualitative research aimed to describe the process of students’ thinking in identifying concave plane based on Gregorc’s model of thinking style. It involved thirty-three 9th-grade students with a different style of thinking. Data were collected through tests, questionnaire, and non-structured interview then descriptively analyzed to reveal students’ thinking process and styles.  The present study found two different thinking styles, namely Sequential Concrete (SC) and Random Abstract (RA) from students who successfully identified the concave plane as a kite. There were different thinking processes in the development of definition, opinion, and conclusions from subjects with different thinking styles. However, the difference in the thinking process from each thinking styles do not hamper students’ success in constructing knowledge. Keywords: Thinking process, Concave place, Thinking style, Gregorc model [Bahasa]: Pembelajaran matematika seharusnya memfasilitasi siswa membangun pengetahuan sendiri. Dalam membangun pengetahuan, siswa melibatkan beragam proses dan gaya berpikir. Penelitian kualitatif ini bertujuan untuk mendeskripsikan proses berpikir siswa dalam mengidentifikasi bangun datar concave berdasarkan gaya berpikir model Gregorc. Subjek penelitian adalah 33 siswa kelas IX SMP yang memiliki gaya berpikir berbeda. Data dikumpulkan melalui tes, angket, dan wawancara non-terstruktur kemudian dianalisis secara deskriptif untuk mengungkap gaya dan proses berpikir siswa. Penelitian ini menemukan dua gaya berpikir berbeda yaitu Sekuensial Konkret dan Acak Abstrak dari siswa yang berhasil mengidentifikasi bangun datar concavesebagai layang-layang. Terdapat perbedaan proses berpikir dalam pembentukan pengertian, pembentukan pendapat, dan penarikan kesimpulan dari siswa dengan gaya berpikir berbeda. Namun demikan, perbedaan gaya berpikir dari setiap proses berpikir tidak membatasi keberhasilan siswa dalam mengkonstruksi suatu pengetahuan. Kata kunci: Proses berpikir, Gaya berpikir, Bangun concave, Model Gregorc  


Sign in / Sign up

Export Citation Format

Share Document