scholarly journals Students’ Cognitive Process In Problem Solving On Pattern Materials Reviewed From Math Anxiety

Author(s):  
Muhammad Nanang Ferdiansyah ◽  
Rooselyna Ekawati

This study uses a qualitative descriptive approach that aims to describe the cognitive processes of students in solving problems in the number pattern material in terms of the level of students' mathematics anxiety. The instruments used in this study were the mathematics ability test (TKM) to control subject selection, the mathematics anxiety questionnaire (AKM), the problem-solving test (TPM), and the interview guidelines. From several 8th grade students, there are 21 male and 9 female students, one student was selected with a male student with high mathematical ability and high math anxiety and one male student with high mathematical ability and low math anxiety. The results showed that students with high and low math anxiety could solve problems, but there were differences in receiving, processing, storing, and recalling information. Students with low math anxiety check their answers again by processing the information in other ways, while students with high math anxiety do not. With the difference in the cognitive processes of students with math anxiety, teachers are advised to develop appropriate learning methods to reduce students' math anxiety, so that students can improve their thinking skills in mathematics at a higher level with low math anxiety. Keywords: Cognitive, Mathematical Ability, Math Anxiety, and Problem Solving

2019 ◽  
Vol 20 (1) ◽  
pp. 69
Author(s):  
Endang Wahyuningrum ◽  
Disti Pratiwi ◽  
Sandra Sukmaning Adji

The purpose of this study was to describe the creative thinking skills of junior high school students based on mathematics anxiety and gender. Aspects of creative thinking skills used in this study are fluency, flexibility, and novelty. This research is a qualitative descriptive study. The instruments used were open-ended questions consisting of algebra and geometry questions, mathematics anxiety questionnaires, and interview guidelines. The study was conducted in class IX E of SMPI Al Azhar 12 Rawamangun Jakarta. The subject of this study consisted of four students, they are male student with low mathematics anxiety, female student with low mathematics anxiety, male student with medium mathematics anxiety, and female student with medium mathematics anxiety. The results of the mathematics anxiety questionnaire showed that none of the students in class IX E had high math anxiety. There are differences in the fulfillment of aspects of creative thinking in terms of differences in mathematics anxiety and gender levels. Students with low math anxiety fulfill aspects of fluency, flexibility, and novelty in algebra and geometry questions. Students with medium math anxiety fulfill aspects of fluency and flexibility both in algebra and geometry questions. Female students fulfill aspects of fluency, flexibility, and novelty both in algebra and geometry questions. Male students fulfill aspects of fluency and flexibility in algebra questions, while in geometry questions the aspects that are fulfilled are fluency, flexibility, and novelty.


2019 ◽  
Vol 20 (1) ◽  
pp. 69-81
Author(s):  
Endang Wahyuningrum ◽  
Disti Pratiwi ◽  
Sandra Sukmaning Adji

The purpose of this study was to describe the creative thinking skills of junior high school students based on mathematics anxiety and gender. Aspects of creative thinking skills used in this study are fluency, flexibility, and novelty. This research is a qualitative descriptive study. The instruments used were open-ended questions consisting of algebra and geometry questions, mathematics anxiety questionnaires, and interview guidelines. The study was conducted in class IX E of SMPI Al Azhar 12 Rawamangun Jakarta. The subject of this study consisted of four students, they are male student with low mathematics anxiety, female student with low mathematics anxiety, male student with medium mathematics anxiety, and female student with medium mathematics anxiety.The results of the mathematics anxiety questionnaire showed that none of the students in class IX E had high math anxiety. There are differences in the fulfillment of aspects of creative thinking in terms of differences in mathematics anxiety and gender levels. Students with low math anxiety fulfill aspects of fluency, flexibility, and novelty in algebra and geometry questions. Students with medium math anxiety fulfill aspects of fluency and flexibility both in algebra and geometry questions. Female students fulfill aspects of fluency, flexibility, and novelty both in algebra and geometry questions. Male students fulfill aspects of fluency and flexibility in algebra questions, while in geometry questions the aspects that are fulfilled are fluency, flexibility, and novelty.


2021 ◽  
Vol 9 (2) ◽  
pp. 349-366
Author(s):  
Siti Nur Fatima ◽  
Zainul Munawwir ◽  
Lisma Dian Kartika Sari

Seeing the differences in the results of several previous studies on metacognitive abilities in problem solving, researchers are interested in examining students' metacognitive abilities in problem solving in terms of gender differences. This problem is important to study because it aims to determine the implementation of the metacognitive abilities of male and female students in problem solvingThe purpose of this study was to determine the metacognitive ability of male and female students in problem solving using TIMSS questions at SMP Al-Falah Pesanggrahan Jangkar for the 2020/2021 academic year. This type of research is descriptive qualitative. The subjects of this study were one male student and one female student from class VII SMP AL-Falah Pesanggrahan who had the same mathematical ability. Data collection techniques in this study were interviews, mathematical ability tests and TIMSS questions. Data analysis in this study was analyzed on each data collection technique. The results of data analysis showed that there was no difference in metacognitive ability in problem solving between male and female students. The metacognitive abilities of male and female students have been used well in problem solving. Both of them can explain their thinking process in every stage of problem solving.   Keywords: Metacognition Ability, Problem solving, TIMSS questions, Mathematical Ability, Gender Difference.  


2021 ◽  
Vol 9 (2) ◽  
pp. 233-243
Author(s):  
Lihar Raudina Izzati ◽  
Erlinda Rahma Dewi ◽  
Andika Wisnu

Problem-solving ability is a characteristic of mathematical activities and a major ability in developing mathematical understanding. Mathematical problem-solving ability can be seen from several dimensions, one of which is cognitive style. Cognitive style is a unique way for each individual to acquire, process, store, use the information to respond to tasks or situations, and build knowledge. FD and FI cognitive styles are one type of cognitive style that are categorized by general ways of thinking, solving problems, learning, and dealing with other people so that they have a relationship with problem-solving abilities. The subjects in this study involved 72 students (around the age of 13-14 years), namely 33 students with FD cognitive style and 39 students with FI cognitive style. The problem-solving ability test instrument in this study was a mathematical problem-solving ability test that had been validated by experts and tested for reliability. The cognitive style test instrument is the Group Embedded Figure Test (GEFT) item developed by Witkin. The problem-solving ability of junior high school students with FI cognitive style is better than FD students even though the difference is not much different.


2020 ◽  
Vol 8 (2) ◽  
pp. 19-32
Author(s):  
Fatimah Saguni

Constructivism is the basis for thinking of a contextual approach, namely that knowledge is built not a set of facts, concepts, or rules that are ready to be remembered. Students must construct that knowledge and give meaning through real experience. Students need to be accustomed to solving problems, finding something useful for themselves, and struggling with ideas. The teacher will not be able to give all knowledge to students. Students must construct knowledge in their own minds. Knowledge is not static, but is constantly evolving and changing as students construct new experiences that force them to base themselves and modify previous knowledge.Learning must be packaged into the process of constructing knowledge rather than receiving knowledge. In the learning process, students build their own knowledge through active involvement in the learning and teaching process. Students become the center of activities, not teachers.Critical thinking is an attempt by someone to check the truth of information using the availability of evidence, logic, and awareness of bias. Critical thinking skills are the cognitive processes of students in analyzing systematically and specifically the problems faced, distinguishing these problems carefully and thoroughly, as well as identifying and reviewing information to plan problem solving strategies.


2019 ◽  
Vol 2 (1) ◽  
pp. 65-76
Author(s):  
Sofie Dinia ◽  
Astri Yuliani Nurhafifah ◽  
Mayasari Mayasari ◽  
Siti Patimah ◽  
Wahyu Hidayat

The purpose of this study was to study and analyze students' problems in problem-solving skills seen from their mathematical disposition level of the students on 12th grade class of  SMA IT Fithrah Insani. Method of this study is descriptive- qualitative research. From 35 students, there were three students taken as samples, consisting of a student with high disposition mathematical ability (T), a student with medium disposition mathematical ability (S), and a student with low disposition mathematical ability (R). The result of the study shows that there is a difference in the average score of students in each level of the mathematical disposition towards the conclusion of the students’ mathematical problem-solving ability test (ANOVA Test-One way). Following up on these differences, researchers identified student achievement and misconceptions on each mathematical problem-solving indicators. The results of the study show that all the student with high and medium disposition mathematical ability could not fulfill the indicators of the ability of mathematical problem solving, such as (1) understand the problem, (2) recheck the answer while all the student with low disposition mathematical ability could not fulfill all indicator of the ability of mathematical problem solving.


Author(s):  
M. Lian Kamyl P. Santos ◽  
Rene R. Belecina ◽  
Rosemarievic V. Diaz

This study determined the effects of the integration of mathematical modeling on the problem solving performance and math anxiety level of Grade 9 students. Two groups of students were exposed to different strategies: the control group was taught using guided practice while the experimental group was taught using the integration of mathematical modelling. Pretests and Posttests were given to measure the performance of both groups in terms of their problem solving skills and their math anxiety level. T-test of independent and dependent were used to determine whether there exists significant difference between the performance of the two groups in terms of their pretest and posttest scores. Questionnaire and Interview Method were implemented were used to elicit students’ reactions on the integration of mathematical modeling in the classroom.Findings showed that there is a significant difference between the pretest and posttest mean scores of both groups in terms of their problem solving performance test and their mathematics anxiety test. However, when their posttest mean scores were compared, the experimental group made a large improvement in terms of their problem solving performance and a reduction in terms of their mathematics anxiety level, thus, the integration of mathematical modeling was effective in improving the problem solving performance and reducing the math anxiety level of students


MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 402-411
Author(s):  
Safirah Viki Amalina ◽  
Rooselyna Ekawati

Problem solving is one of several important abilities a student must have. Problem solving is a planned process that mustbe done in order to get a certain solution of a problem that is not obtained immediately. One type of problem studentsmust solve is an open-ended problem. Open-ended problem solving for every student is certainly different from oneanother. The level of mathematical ability of students is one of the factors that influence these differences. This type ofresearch is a qualitative descriptive with the purpose to describe the profile of open-ended problem solving based onPolya’s steps viewed from mathematical ability level of junior high school students. Three students from grade VII arethe subjects in this research (one student having high mathematical ability, one student having moderate mathematicalability, and one student having low mathematical ability). This research uses instruments mathematical ability test, openended problem solving test, and interview guidelines. The results showed there were differences in the open-endedproblem solving profile on students with high, moderate, and low mathematical ability. Student with high mathematicalability can carry out all the steps of Polya’s problem solving. Student with moderate mathematical ability are able to carryout the step of understanding the problem, devising a plan, carrying out the plan, however there are indicators that are notfulfilled at looking back’s step they are using the other way to solve the problem and make conclusion. Student with lowmathematical ability can not show the adequacy of the data at understanding the problem’s step and can not carry out thesteps of devising a plan, carrying out the plan and looking back.


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti

The purpose of this study is to describe the intuition characteristics of junior high school students in solving mathematical problems viewed from mathematical abilities. This research based on qualitative descriptive study. The subjects of this study were taken from Lab School UNESA  Junior High School, which consisted of three students from class VIII A, namely one student with high, moderate,  and low mathematical ability. The method that used to collect data consists of the mathematical ability test,  problem solving test and so of the interview method. Data analysis uses the intuitive characteristic indicators at each stage of the problem solving. The conclusion of this study indicate that student with high mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with moderate mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with low mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of perseverance and coerciveness, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Keywords: Intuition, Problem solving , Mathematics ability


MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 145-154
Author(s):  
Olivia Khufyatul Adhimah ◽  
Rooselyna Ekawati ◽  
Dini Kinati Fardah

Problem solving behavior make further information about behavior of students to understand contextual mathematical problems and their solutions. The different behaviors shown by students to each other shows how to steps, abilities, and understanding of students in solving contextual mathematical problems. It is important for students and teachers to know the problem solving behaviors in order to improve understanding and ability to solve contextual mathematical problems. Mathematics anxiety can influence students in soling mathematical problems. Given the importance of students problem solving behavior in learning mathematics, teachers need to know students problem solving behavior in solving contextual mathematical problems based on mathematics anxiety. This study investigate problem solving behavior of students with low and high mathematical anxiety in solving contextual mathematical problems. Subjects in this study were four students of Junior High School, consists each of the two students from each mathematics anxiety group, low and high. Four students were given contextual mathematical problem solving test to investigate about problem solving behavior. Classification of students mathematics anxiety levels is determined through the mathematics anxiety questionnaire score of each student. The results of this research showed that students problem solving behavior with high mathematics anxiety were categorized in Direct Translation Approach-proficient (DTA-p) dan Direct Translation Approach-not proficient (DTA-np) category. Students behavior with low mathematics anxiety were categorized in the category of Meaning Based Approach-justification (MBA-j). The difference in problem solving behavior from two categories of mathematics anxiety is in re-reading the problem, linking concepts, deciding strategies, using context in calculations and final answer, and providing an explanation at each step of the solution. Students problem solving behavior with low mathematics anxiety was better than students problem solving behavior with high mathematics anxiety.


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