In modern theory, creativity is an aim of mathematics education not only for the gifted but also fur the general students. The assertion that we must cultivate the creativity for the gifted students and drill the mechanical activity for the general students are unreasonable. Freudenthal has advocated the reinvention method, a pedagogical principle in mathematics education, which would promote the creativity. In this method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Freudenthal believed that the mathematical creativity could not be cultivated through the concretization method in which the teacher transmit a ready-made concept to the pupils. In the article, we close examined the reinvention method, and presented a context of delivery route which is a illustration of reinvention method. Through that context, the principle of pascal's triangle is reinvented progressively.
This study analyzed changes of representations which had come up in the problem-solving process of math-gifted 6th grade students that ACODESA had been applied. The class was designed on a ACODESA procedure that enhancing the use of varied representations, and conducted for 40minutes, 4 times over the period. The recorded videos and interviews with the students were transcribed for analysing data. According to the result of the analysis, which adopted Despina's using type of representation, there appeared types of 'adding', 'elaborating', and 'reducing'. This study found that there is need for a class design that can make personal representations into that of public through small group discussions and confirmation in the problem-solving process.
This research aims to look into the mathematically gifted 6th and 7th graders spatial visualization ability of solid figures. The subjects of the research was six male elementary school students in the 6th grade and one male middle school student in the 1th grade receiving special education for the mathematically gifted students supported by the government. The task used in this research was the problems that compares the side lengths and the angle sizes in 4 pictures of its two dimensional representation of a regular icosahedron. The data collected included the activity sheets of the students and in-depth interviews on the problem solving. Data analysis was made based on McGee's theory about spatial visualization ability with referring to Duval's and Del Grande's. According to the results of analysis of subjects' spatial visualization ability, the spatial visualization abilities mainly found in the students' problem-solving process were the ability to visualize a partial configuration of the whole object, the ability to manipulate an object in imagination, the ability to imagine the rotation of a depicted object and the ability to transform a depicted object into a different form. Though most subjects displayed excellent spatial visualization abilities carrying out the tasks in this research, but some of them had a little difficulty in mentally imagining three dimensional objects from its two dimensional representation of a solid figure.
Kim, Sung Ki;Kim, Jung Eun;Park, Se-Hee;Paik, Seoung-Hye
Journal of The Korean Association For Science Education
/
v.39
no.3
/
pp.457-464
/
2019
This study aims to explore meta-modeling knowledge of gifted students through the modeling. To do this, five gifted students were asked to do modeling related to candle burning, and all the processes of modeling were observed and then individual interviews were conducted. As a result of the study, two students were classified as first level and three students were classified as second level. The students of the first level did not have any model generation or model-based prediction activities, and observation was the most meaningful activity. On the other hand, the students of the second level performed all four modeling processes. However, the generation of the model and the prediction using the model were relatively strong. The data they gained from the experiments was perceived as just confirming the absolute model. No student was found in Level 3 or Level 4. The results of this study show that gifted students remain at the progression level of recognizing the model as an objective reality, and in order to cultivate a true scientist, it is necessary to educate the gifted students to recognize the subjectivity of the model.
This study was to analyze the characteristic of scientific argumentation in the classes for the gifted of elementary school. The participants of this study were 5 fifth graders and 9 sixth graders, 14 in total, from the basic unit schools for gifted students of J elementary school in Incheon city. And it constituted small scale groups made up of 2~3 students with similar or identical ability in scientific reasoning. It had set up hypothesis for each group before the experiment, and students had a group discussion as a whole after the experiment. Classes were conducted 4 times, all courses were recorded as a sound/video. The ability in scientific reasoning of the students was inspected, making use of SRT II by means of pre-survey, and their argumentation levels were analyzed, utilizing 'Rubric for scientific argumentation course assessment.' As a result, argumentations did not incurred in every class. Analysis in argumentations of the students resulted in low level argumentation. This means argumentation cannot incur based on that with the limit in understanding the principle of experiments over the threshold of textbook no matter that he is an gifted student or not. The student both in formal operational period and transition period (2B/3A), the ability of scientific thinking in upper level, was improved of his argumentative ability in an overall aspect. However, a student of concrete operational period, the ability of scientific thinking in lower level, had argumentation with still lower level even after the experiment at the moment of discussing with the students on the upper level of scientific thinking ability.
The purpose of this study was to identify the influence of emotional intelligence and achievement goal orientation on career maturity for elementary scientific gifted students. For this purpose, emotional intelligence test, achievement goal orientation measure and career maturity test were used. Sample of the study was consisted of 107 science gifted students and 98 general students in Y City, Gyeonggi Province. The results of this study were as follows. First, scientific gifted students showed higher score than general students, whereas general students had highest score in type of avoidance goal orientation of achievement goal orientation. Also, scientific gifted students showed highest score in mastery goal orientation of those. Second, the correlation between emotional intelligence and career maturity of scientific gifted students showed significantly positive score in almost all the subelements. As a result of conducting a regression analysis on the influence of emotional intelligence on career maturity of scientific gifted students, job planning and self-understanding of career maturity were impacted by emotional intelligence, whereas independence was low influence by emotional intelligence. Third, for the correlation between achievement goal orientation and career maturity of scientific gifted students, mastery goal orientation of achievement goal orientation had positive relationship in almost all the subelements, whereas mastery avoidance goal orientation and performance-avoidance goal orientation had negative correlation. Also, as a result of conducting a regression analysis on the influence of achievement goal orientation on career maturity of scientific gifted students, achievement goal orientation had influence on all the subelements of career maturity.
In this study, we investigated the characteristics of the analogies, the mapping understanding, and the mapping errors on saturated solution of scientifically-gifted and general elementary students. Fifth graders (n=60) at four scientifically-gifted education institutes in Seoul and/or Gyeonggi province and fifth graders (n=91) at three elementary schools in Seoul were selected and assigned to the scientifically-gifted group and the general group respectively. After the students of each group performed the experiment and were taught about the target concept in the first class, they administered the test on the self-generating analogies on the target concept in the second class. The results revealed that the students in the scientifically-gifted group made more analogies, especially verbal/pictorial, structural/functional, enriched, and higher systematic ones, and had deeper understanding of the analogy than those in the general group. The numbers of the shared attributes included in the student-generated analogies and the scores of the mapping understanding of the students in the scientifically-gifted group were significantly higher than those in the general group. The students in the scientifically-gifted group had fewer mapping errors than those in the general group. However, not a few students in the scientifically-gifted group had at least one mapping error. Educational implications of these findings are discussed.
The aims of this study were to investigate the differences of the proportion of misconceptions and the reasons for selecting responses related to questions about small living things between talented and average students. The study subjects were made up of three groups. They were a class of 37 talented elementary students in science attending J National University of Education, a class of 37 talented students in science attending J City Office of Education, and a class of 33 average students attending J City. A questionnaire was composed of 20 test questions for examination of concepts related to small living things. The data obtained in this study was analyzed using a statistical program. The major results were as follows: In general, the level of the scientific concepts possessed by the talented students was much higher than that of the average students, especially in question 14. The reasons for the misconceptions which were revealed through this study were classified into vagueness of the language used, hasty decision and deduction making, using the wrong analogical inference, mass communications (TV or internet) and experimental differences between individuals. In terms of the reasons for the selection of a given response, the talented students had also a higher frequency in the 'science books for children' category than the average students, indicating that various kinds of science books for children have an influence on the formation of concepts on small living things. The misconception proportion of male students was 5.4% higher than that of female students in mean frequencies of all questions, although the difference was not statistically significant except for question 4. Data from this study may help teachers involved in education for gifted students to reconsider their conceptions on small living things.
The purposes of this study were to develop a science program using scientists as the material and to examine the effects of this in teaching science to gifted elementary students. The program included low modules, each of which was devised based on the literature examination of the lives, scientific achievements and contributions of four scientists: Ju-Myeong Seok, Jang-Chun Woo, L. Pasteur, and M. Curie. In this study, the four modules were applied and taught to fifteen gifted children in the 6th grade. After the program was taught to the children, post-questionnaires, examination of the subjects' output, in-depth interviews and classroom investigations were carried out and analyzed by the researchers. The results of the study were as follows. The majority of the subjects showed a considerable amount of interest in the program, participated actively and enthusiastically in the given tasks until they solved the problems, and their output produced a number of novel ideas. The results of the post-questionnaires indicated that the program was appropriate fer the subjects and effective in teaching scientifically-gifted children. Moreover, the analysis of the in-depth interviews conducted with the subjects showed that the subjects had opportunities to think about scientific attitudes, the relationships between science, society and nations, the contributions that scientists can possibly make to society, and the identity of scientists, despite the existence of differences between individual children.
The purpose of this study was to develop and apply a differentiated instruction-learning reflecting various characteristics and demands of the gifted underachievers, and thereby help to develop the study attitude and study achievement of the gifted underachievers. To achieve the purpose, a case study on five gifted underachievers who are in $6^{th}$ grade of elementary school was conducted. By collecting and analyzing a variety of data including standardized tests, interviews with teachers, students, and parents, and observation journals, this researcher examined the characteristics and demands of the gifted underachievers. For the development of the program, differentiated strategies were designed according to students' interest and concern, their multiple-intelligence, and their learning styles. As a result of the application of them, a program with a total of 20 sections was finally developed. The result of the application for the differentiated instruction-learning program revealed improvements in their academic achievements. In addition, it was found that their learning motives were improved. The program was also found to affect their self-concept and their attitude toward learning. The study showed that developing an education program for the gifted underachievers should begin from the analysis of each student's characteristics. Also, it was found that a differentiation strategy could become an alternative to apply various characteristics and demands of the gifted underachievers to the development of a program. The gifted underachievers' intellectual and definitive characteristics were changed even by the short-term mediation. Therefore, the new issue about educating the gifted is to provide a differentiated instruction-learning program fitting their characteristics and demands and help them exert their potential as best as they could.
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