scholarly journals Analisis Kemampuan Pemecahan Masalah pada Materi Sistem Koordinat Kartesius Ditinjau dari Perbedaan Pola Pikir Divergen dan Konvergen Siswa Kelas VIII SMP

2021 ◽  
Vol 1 (4) ◽  
pp. 528-537
Author(s):  
Naba Nunun Lamhabaha ◽  
Sudi Prayitno ◽  
Muhammad Turmuzi ◽  
Syahrul Azmi

This study aims to determine how the ability of mathematical problem solving in the Cartesian coordinate system material in terms of differences in divergent and convergent thinking patterns in class VIII students in semester 1 of SMP Negeri 1 Kediri in the 2019/2020 academic year. This research is a descriptive study using a quantitative approach. The instruments used in this study were the thinking character questionnaire instrument and the problem solving ability test instrument. The thinking character questionnaire instrument was used to select research samples that met the criteria for divergent thinking and convergent thinking. In this study, 11 students thought divergent and 12 students thought convergent. The problem-solving ability test instrument was used to determine the problem-solving ability of the research sample as measured by Polya's assessment guidelines, namely (1) understanding the questions, (2) planning solutions, (3) solving problems, and (4) checking. The results showed that there was no difference in the average score of problem-solving abilities between students with divergent and convergent thinking patterns, namely 66.19 and 66.73. The only difference lies in the steps each student takes. This shows that different mindsets do not affect a person's ability to solve a problem.

2020 ◽  
Vol 32 (1) ◽  
pp. 159-176
Author(s):  
Kun Huo

ABSTRACT Creativity theory suggests that effective solutions to creative problems depend on both divergent and convergent thinking (Cropley 2006). Using an experiment in which participants solve insight problems, I investigate the effect of incentive schemes on creative problem-solving performance. I find that both piece-rate pay and a flat wage plus public recognition generate higher performance with divergent thinking training than without. Consistent with the idea that incentives may promote more convergent thinking than divergent thinking, piece-rate pay generates lower creative problem-solving performance than the flat wage in the absence of divergent thinking training (flat wage plus recognition has a neutral effect). The study suggests that when employee performance depends on creative problem solving, firms should implement incentive schemes and/or control systems that promote both divergent and convergent thinking.


2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Chia-Yi Lin

This study aimed to help determine what the typology of math creative problem-solving is. Different from studies that have discussed the threshold effect between creativity and intelligence, this research investigated the threshold effect between creativity and other attributes. The typology of the math creative problem-solving abilities of 409 fifth- and sixth-grade Taiwanese students was identified and compared in this study. A Creative Problem-Solving Attribute Instrument was devised for this study, with the aim of measuring students’ perceptions on their motivation, knowledge, and skills, both in general and in specific domains. Divergent and convergent thinking were also measured. Cluster analyses yielded three creative problem-solving typologies: High, Medium, and Low. The High Attribute group scored significantly higher in the Math Creative Problem-Solving Ability Test than did the Medium Attribute and Low Attribute groups. The results suggest a threshold effect from several attributes—divergent thinking, convergent thinking, motivation, general knowledge and skills, domain-specific knowledge and skills, and environment—on students’ creative problem-solving abilities. Balanced development of attributes may be an important consideration in nurturing creativity in children.


2020 ◽  
Vol 4 (2) ◽  
Author(s):  
Destiana Dian Arfiani ◽  
Himmatul Ulya ◽  
Savitri Wanabuliandari

This study aims to analyze (1) the average mathematical problem solving ability of students who can achieve the KKM, (2) the proportion of students who can complete classical completeness of 75%, (3) differences in students' mathematical problem solving abilities before and after the REACT model assisted by fable-math book media is applied, (4) increasing mathematical problem solving abilities. The research method used is quantitative research with a pre-experimental design trial design in the form of one group pretest posttest. Sampling was done by means of purposive sample. The sample in this study were IV grade students in academic year 2019/2020. Collecting data using interview techniques, documentation, and tests. The data that has been collected is then analyzed using statistical analysis in the form of one sample t-test, z-proportion test, paired sample t-test, and n-gain test. After applying the REACT model assisted by the fable-math book media the results of the study showed that the average score of the student's problem-solving ability test got more than 70, the proportion of students who completed the test could achieve classical completeness above 75%, there were significant differences in the pretest and posttest results, and there is an increase in students' mathematical problem solving abilities with the medium category.


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.


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.


2019 ◽  
Vol 7 (2) ◽  
pp. 48
Author(s):  
Yuntawati Yuntawati

The purpose of this study was to determine the effect of the Thingking Aloud Pair Problem Solving (TAPPS) Method on the Mathematical Problem Solving Capabilities of Semester 1 Students in Mathematics Education Program FPMIPA IKIP Mataram on Calculus I Subjects. The research method used was a quasi single subject experiment with group design (group design). In this study comparisons between groups using the average score (mean) with AB design, namely measurement of target behavior in the baseline phase (A) before the application of the TAPPS method carried out in two sessions and the provision of intervention (B) or the application of the TAPPS method performed in two sessions anyway. The instrument used was a lecturer and student activity observation sheet, to collect data about developments in each session or stage, a student interview guide, used to dig deeper information about the application of the TAPPS learning method, and a problem solving ability test sheet. The results of this study indicate an increase in the average value of session 1 by 60.17 and session 2 by 60.67 in the baseline phase (A) to session 3 by 66.83 and session 4 by 71.5 in the intervention phase (B). Based on the results of the study it can be concluded that the application of the TAPPS method has a positive effect on the ability to solve calculus I problems.


Author(s):  
Dewi Anggreini ◽  
Daffit Krisna Saputra

The problem in this study is the low ability of students to solve problems. That is because students only refer to the examples of questions given by the teacher so that students have difficulty if given questions that are not the same as the examples given by the teacher. Diverse problem solving solutions are needed because students still find difficult to draw conclusions from the questions they have worked on. The purpose of this study is to describe students' ability to solve trigonometric problems in terms of the personality type of Myer-Briggs, namely ISTJ, ESFJ, ESTP, INFJ, ISTJ, ISTP, ESTJ, INTP and ISFJ. This research is a type of descriptive research using a qualitative approach. Methods of data collection using the MBTI questionnaire, math problem solving ability test questions and interviews. The results showed that the ISTJ personality type fulfilled 4 indicators of problem solving very well, while the personality types of ESFJ, ESTP, INFJ, ISTJ, ISTP, and ESTJ met 4 indicators of problem solving well, and for personality types ENTJ, INTP, and ISFJ were sufficient good by meeting 3 of the 4 indicators of problem solving. The results of the study can be used to improve students' mathematical problem solving abilities by further enhancing the positive characteristics present in students. Can inspire students to better understand the type of personality they have in themselves and hone their abilities to be more improved.


2017 ◽  
Vol 5 (2) ◽  
pp. 112
Author(s):  
Alman Alman

This study is a quasi-experimental research using factorial design. This study aimed at finding the facts that had been resulted from the different influence caused by the use of Open-Ended method and that of STAD method on the students’ mathematical problem-solving skills in terms of learning achievement. The learning achievement was categorized into two types namely the high achievement and the low achievement. The population in this study was Grade V students from SD Negeri Serayu. The data were analyzed by ANAVA univariate test. The results of the study were as follows. First, there have been differences in the mathematical problem-solving skills of the students who had been taught using Open-Ended method and those who had been taught using the STAD method. Second, there were also differences on the students’ score. For the students who had been taught using the Open-Ended method, the highest posttest average score of their learning achievement was 95.71 while the lowest post-test average score of their learning achievement was 63.92. These students’ total average score of learning achievement was 81.04. On the other hand, for the students who had been taught using STAD the highest posttest average score of their learning achievement was 95.50 while the lowest posttest average score of their learning achievement was 70.00. These students’ total average score of learning achievement was 89.13. Third, there has not been any differences between the Open-Ended method and the STAD method.


2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Fauzan Jafri

This research is motivated by the level of junior high school students' mathematical problem solving was still low. Based on the preliminary study which conducted by one of the schools in Batam shows the average score for mathematics was 62 for 100 scale. The purpose of this study is to obtain and investigate the improvement of students' problem-solving mastery on relations and functions material as the effect of  PAKEM model. The research method which used is pre-experiment and with one group pretest-posttest design. The subjects of this study were VIII grade students of one of the first junior school in Batam at odd semester 2015-2016 academic year, totally 32 students.  Sample of this research were taken by random sampling technique. Students’ problem solving mastery was measured by using problem-solving test, whereas the students’ problem-solving mastery improvement between before and after the concept of effect size implementation was calculated to find the effect size of applying the PAKEM model. The result showed that the effect size of applying the PAKEM model on improving problem solving mastery is 3.3, it means, the PAKEM model implementation on improving problem-solving mastery on function has a strong influence. It can be concluded that the PAKEM model implementation can improve problem solving mastery.


2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Damayanti Kusuma Wardhani ◽  
Wamington . Rajagukguk

AbstractThis study aims to improve students' problem-solving abilities with STAD cooperative learning model on the subject of integers class VII SMP Negeri 3 Galang. This type of  research is a classroom action research. The subjects were students of class VII-1 SMP Negeri 3 Assemble TA2014/2015 which amounted to28 students. The object of  this study is an effort to improve the ability of mathematical problem solving through cooperative learning model Student Team Achievement Division(STAD) on the subject of Integer. The research instrument used is the observation and mathematical problem solving ability test.  From the results of problem solving ability test, the data obtained were 9 students (32.14%), which reached the criteria of problem-solving abilities. After being given the treatment by applying the learning model STAD (first cycle), it is provided TKPMI .From the TKPMI data showed that as many as16students(57.14%) of the28students(2.74 value) that reaches criteria problem-solving abilities. This shows that in the first cycle of mathematical problem solving ability of students as a whole h as not reached 85%, the continued action on the second cycle. From the results TKPMII data showed that as many as 24 students (85.71%) of  the 28 students (3.15 value) that reaches criteria problem-solving abilities. This shows that the mathematical problem solving ability of students as a whole has reached 85%, then the action is stopped. Based on t he above results, it can be concluded that by applying STAD cooperative learning model can improve students' mathematical problem solving ability on the subject of integers in class VII SMP Negeri 3Galang.Keywords: STAD, improve, test, problem, solving


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