scholarly journals Students’ thinking process in solving mathematical problems based on the levels of mathematical ability

2018 ◽  
Vol 1088 ◽  
pp. 012116 ◽  
Author(s):  
A Sanjaya ◽  
R Johar ◽  
M Ikhsan ◽  
L Khairi
Keyword(s):  
Mathematical Ability ◽  
Mathematical Problems ◽  
Thinking Process

scholarly journals ANALYTICAL THINKING PROCESS OF STUDENTS IN SOLVING MATHEMATICAL PROBLEMS OF QUADRATIC FUNCTIONS

2021 ◽  
Vol 10 (1) ◽  
pp. 328
Author(s):  
Naela Nur Azizah ◽  
Susiswo Susiswo ◽  
Sisworo Sisworo
Keyword(s):  
Data Analysis ◽  
Problem Solving ◽  
Quadratic Function ◽  
Mathematical Ability ◽  
Quadratic Functions ◽  
Mathematics Ability ◽  
Analytical Thinking ◽  
Tenth Grade ◽  
Mathematical Problems ◽  
Thinking Process

Analytical thinking is an ability to observe objects thoroughly and solve facts comprehensively. This study is set to describe students' analytical thinking processes in solving mathematical problems, especially in quadratic functions. It employs a qualitative approach with qualitative descriptive research. The subjects in this study are one student with high mathematics ability, one student with medium mathematics ability, and one student with low mathematics ability of Tenth Grade of State Islamic Senior High School 3 Tulungagung. Data collection are carried out through task-based interviews. Meanwhile, data analysis technique are data reduction, data presentation, and conclusion Based on the results of data analysis and discussion, it is concluded that (1) The student with high mathematical ability pass several stages, namely differentiating, and organizing, he/he can solve the quadratic function problem properly according to the problem solving steps. (2) The student with medium mathematical ability can go through differentiating and organizing stages. But at the attributing stage, he/she are less able to solve problems based on the objectives.  (3) The student with low mathematical ability tends not to pass differentiating, organizing, and attributing analytical thinking stages. He/she are less able to solve quadratic function problems according to the solving steps.Keywords: Analytical thinking process; problem solving; quadratic functions

scholarly journals Thinking Process of Naive Problem Solvers to Solve Mathematical Problems

2016 ◽  
Vol 10 (1) ◽  
pp. 1 ◽  
Author(s):  
Jackson Pasini Mairing
Keyword(s):  
Problem Solving ◽  
Procedural Knowledge ◽  
Mental Image ◽  
Research Subjects ◽  
Maximum Score ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Thinking Process ◽  
Problem Solvers ◽  
Holistic Rubric

Solving problem is not only a goal of mathematical learning. Students acquire ways of thinking, habits of persistence and curiosity, and confidence in unfamiliar situations by learning to solve problems. In fact, there were students who had difficulty in solving problems. The students were naive problem solvers. This research aimed to describe the thinking process of naive problem solvers based on heuristic of Polya. The researcher gave two problems to students at grade XI from one of high schools in Palangka Raya, Indonesia. The research subjects were two students with problem solving scores of 0 or 1 for both problems (naive problem solvers). The score was determined by using a holistic rubric with maximum score of 4. Each subject was interviewed by the researcher separately based on the subject’s solution. The results showed that the naive problem solvers read the problems for several times in order to understand them. The naive problem solvers could determine the known and the unknown if they were written in the problems. However, they faced difficulties when the information in the problems should be processed in their mindsto construct a mental image. The naive problem solvers were also failed to make an appropriate plan because they did not have a problem solving schema. The schema was constructed by the understanding of the problems, conceptual and procedural knowledge of the relevant concepts, knowledge of problem solving strategies, and previous experiences in solving isomorphic problems.

scholarly journals Profil Berpikir Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear

2019 ◽  
Vol 6 (1) ◽  
pp. 69-84
Author(s):  
K. Ayu Dwi Indrawati ◽  
Ahmad Muzaki ◽  
Baiq Rika Ayu Febrilia
Keyword(s):  
Qualitative Research ◽  
Linear Equation ◽  
Linear Equations ◽  
Equation System ◽  
Mathematical Ability ◽  
System Of Linear Equations ◽  
Mathematics Ability ◽  
Linear Equation System ◽  
Thinking Process ◽  
Descriptive Qualitative

This research aimed to describe the thinking process of students in solving the system of linear equations based on Polya stages. This study was a descriptive qualitative research involving six Year 10 students who are selected based on the teacher's advice and the initial mathematical ability categories, namely: (1) Students with low initial mathematics ability, (2) Students with moderate initial mathematics ability, and ( 3) students with high initial mathematics ability categories. The results indicated that students with low initial mathematical ability category were only able to solve the two-variable linear equation system problems. Students in the medium category of initial mathematics ability and students in the category of high initial mathematics ability were able to solve the problem in the form of a system of linear equations of two variables and a system of three-variable linear equations. However, students found it challenging to solve problems with complicated or unusual words or languages.

scholarly journals PROFIL PENALARAN ANALOGI SISWA DALAM PEMECAHAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 35-39
Author(s):  
Tri Wilfi Iqlima ◽  
Susanah Susanah
Keyword(s):  
Descriptive Study ◽  
Qualitative Approach ◽  
Mathematical Ability ◽  
Target Problem ◽  
Mathematical Abilities ◽  
School Year ◽  
Mapping Process ◽  
Mathematical Problems ◽  
The Subject ◽  
The Difference

Analogy reasoning is the process of thinking logically and analytically in drawing conclusions based on the similarities between the two things being compared. The purpose of this study is to describe the analogy reasoning of students in solving mathematical problems in terms of high, medium, and low mathematical abilities. This research is a descriptive study with a qualitative approach. Data collection was carried out in class IX-H of SMP Negeri 5 Surabaya in the 2019/2020 school year by 33 students and each subject was selected for each category of mathematical ability. The results of the analysis of Problem Solving Tests and interviews show that students with high, medium, and low mathematical abilities mention information that is known and what is asked for logical reasons on the source and target problem, and explain the relations between the information. This indicates that each subject has an encoding process. Each subject also mentions and explains the concepts used to solve source problems, which means each subject has an inferring process. The difference is, subjects with high mathematical ability mention the same concepts between the source problem and the target problem and explain the concepts used to solve the target problem, then students can complete the target problem. This means that the subject is doing two other processes, namely mapping and applying. Subjects with medium mathematical abilities are mentioning the same concept between the source problem and the target problem but cannot explain the concept used in the target problem. However, the subject only did one of the two indicators in the mapping process, so the analogy reasoning process carried out by the subject was encoding and inferring. While students with low mathematical abilities are stopped in the encoding and inferring processes. Keywords: Analogy Reasoning, Mathematical Abilitiy

Effects of Dogmatism and Anxiety during Computer-Assisted Learning

1975 ◽  
Vol 37 (3_suppl) ◽  
pp. 1055-1065 ◽  
Author(s):  
Edward Rappaport
Keyword(s):  
Trait Anxiety ◽  
State Anxiety ◽  
Interactive Effect ◽  
Learning Task ◽  
Mathematical Ability ◽  
Female College Students ◽  
Computer Assisted ◽  
State Trait Anxiety Inventory ◽  
Computer Assisted Learning ◽  
Mathematical Problems

60 female college students were selected on the basis of extreme scores on the Dogmatism Scale and the State-Trait Anxiety Inventory Trait Anxiety (A-Trait) Scale to work on a computer-assisted learning task of difficult mathematical problems. Contrary to expectations, high and low dogmatic subjects, when controlled for A-Trait, did not differ in the level of state anxiety (A-State) displayed during the learning task. As hypothesized, high A-Trait subjects had significantly higher levels of A-State during the experiment than low A-Trait subjects. Neither A-Trait nor dogmatism was related to errors on the task. However, a significant interactive effect of mathematical ability and A-State on performance was observed. Consistent with drive theory, high A-State resulted in more errors for subjects of low mathematical ability but had no effect on the performance of subjects of high mathematical ability.

scholarly journals STUDENTS’ CRITICAL THINKING PROFILES IN SOLVING MATHEMATICAL PROBLEMS BADES ON ADVERSITY QUOTIENT (AQ)

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 211-220
Author(s):  
NILA NURCAHYANING KUSUMAWARDANI ◽  
RADEN SULAIMAN
Keyword(s):  
Critical Thinking ◽  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Good Communication ◽  
Mathematics Problem Solving ◽  
Mathematical Problems ◽  
Processing Information ◽  
Thinking Process ◽  
Mathematics Problem

Critical thinking is a thinking process in processing information logically starti from understanding, analyzing, evaluating and making precise conclusions. Critical thinking indicators are clarification, assessment, inference, and strategy that referred to Jacob and Sam. Mathematics is designed to improve students' critical thinking in a solving problem. One of the factors that affect students' critical thinking in solving a problem is AQ. This research is descriptive study with qualitative approach. The aim is to describe critical thinking profile of climber, camper, and quitter students in solving mathematical problems. The subjects were three students of VIII grade junior high school who represented each AQ category and had good communication skills. The instrument used was the ARP questionnaire, mathematics problem solving tests, and interview guidelines. The results shows that students’ critical thinking profile in understanding the problem is climber and camper student do all indicators of critical thinking in the clarification phase. Quitter student is only able mentioning known and asked information. In devising a plan, climber student implements all indicators of assessment and strategy phase. Camper student implements all indicators in assessment phase, but do not discuss the possible steps in strategy phase. Quitter student does not do both assessment and strategy phase. In carrying out the plan, climber and camper students do all indicators of inference phase, while quitter student does not. In the step of looking back, only climber student who carries out evaluating steps that have been done. Keywords: Jacob and Sam’s critical thinking, mathematical problem solving, adversity quotient

scholarly journals The Pseudo Thinking Profile of Senior High School Students In Solving Mathematical Problems Reviewed from Mathematical Ability

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 172-184
Author(s):  
Ni Komang Hesti Tri Widari ◽  
Susanah Susanah
Keyword(s):  
High School ◽  
High School Students ◽  
Mathematical Concept ◽  
Mathematical Ability ◽  
School Students ◽  
Mathematics Ability ◽  
Ability Tests ◽  
Mathematical Problems ◽  
The Individual ◽  
Thinking Errors

In solving problems, students often experience thinking errors, one of which is pseudo thinking. Pseudo thinking is errors of thinking, wherein the individual process of solving a problem it is not the result of real thinking. Mistakes of thinking like this need attention and must be immediately addressed so as not to impact on students' understanding of the next mathematical concept. This study is a descriptive exploratory with a qualitative approach, aims to describe and explore the pseudo thinking profile of high school students with different mathematical abilities. The subjects in this study consisted of, one with high mathematical ability, one with moderate mathematical ability, and one with low mathematical ability. Data collection techniques were carry out by giving mathematics ability tests (TKM) and interviews. Data analysis was perform based on pseudo-thinking indicators (pseudo-right thinking and pseudo-wrong thinking). It was found that, subjects with high mathematical ability tend to be able to experience pseudo-right thinking and pseudo-wrong thinking. Subjects with moderate mathematical ability tend to be able to experience pseudo-right thinking, while subjects with low mathematical ability tend to be able to experience pseudo-wrong thinking.aKeywords: thinking mistakes, pseudo thinking, problem-solving, mathematical ability

scholarly journals Thinking Process of Concrete Student in Solving Two-Dimensional Problems

2020 ◽  
Vol 14 (2) ◽  
pp. 117-128
Author(s):  
Sri Adi Widodo ◽  
Ambar Dana Pangesti ◽  
Istiqomah Istiqomah ◽  
Krida Singgih Kuncoro ◽  
Tri Astuti Arigiyati
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Two Dimensional ◽  
Research Subjects ◽  
Student Work ◽  
Logical Operations ◽  
Mathematical Problems ◽  
Thinking Process ◽  
Thinking Processes

The purpose of this research was to find out the thinking processes of a concrete student in solving two-dimensional problems. The research method used is descriptive qualitative. The research subjects were two students taken using purposive sampling. The instrument used was the Test of Logical Operations and problem-solving tests. Stages of data analysis used are researching all data, making a cognitive classification of students, choosing concrete students to be used as research subjects, reviewing the results of concrete student work in solving mathematical problems, verify data and data sources that have been classified and transcribed in the presentation or exposure of data. The results showed that at the stage of understanding the problem and re-checking the answers, concrete students use the assimilation at the stage of planning to solve the problem of doing the disequilibration. At the stage of carrying out a plan to solve a problem, concrete students carry out the accommodation. During this study, it was found that students 'habits in mathematical problem-solving did not plan to solve problems, did not re-examine answers, and there were students' habits by interpreting the final results of problems. It can be concluded that the students' concrete thinking processes in solving two-dimensional problems vary according to the stages of problem-solving.

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