Despite the popularity and convenient accessibility of puzzles, the variety of puzzles have led to a lack of research on the nature of the puzzle itself. In guiding certain skills, such as abstractness, creativity, and logic, a teacher should have the thinking skill and strategy that appear in solving puzzles. In this study, the mathematical thinking that appears in solving puzzles from the perspective of experts is identified, and the strategies and characteristics are described and classified accordingly. For this purpose, we analyzed 85 math puzzles including the well-know puzzles to the public, plus puzzles from a popular book for the gifted student. The research analysis shows that there are 6 types of mathematics puzzles in which require mathematical thinking.
Euler's formula provides the topological characteristics of geometrical objects including polyhedra, and so an important mathematical concept. Descriptions on Euler's formula had been in the textbooks according to the 3rd through 7th National Mathematics Curriculum. However, they are gone after that. In this study, we focus on Euler characteristic and Euler's formula as an educational material for educations for the gifted or after-school educations. We first look at the mathematical history and the applications of Euler's formula and national curriculums to search for its mathematical and educational meaning. We further make a suggestion for a learning environment which provides a better education relying on search activities, not just depending on memorization, illuminated from the education of Euler's formula.
Journal of Elementary Mathematics Education in Korea
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v.15
no.1
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pp.19-38
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2011
The purpose of this study was to analyze the responses and the behavioral characteristics between mathematically promising students and normal students in solving open-ended problems. For this study, 55 mathematically promising students were selected from the Science Education Institute for the Gifted at Seoul National University of Education as well as 100 normal students from three 6th grade classes of a regular elementary school. The students were given 50 minutes to complete a written test consisting of five open-ended problems. A post-test interview was also conducted and added to the results of the written test. The conclusions of this study were summarized as follows: First, analysis and grouping problems are the most suitable in an open-ended problem study to stimulate the creativity of mathematically promising students. Second, open-ended problems are helpful for mathematically promising students' generative learning. The mathematically promising students had a tendency to find a variety of creative methods when solving open-ended problems. Third, mathematically promising students need to improve their ability to make-up new conditions and change the conditions to solve the problems. Fourth, various topics and subjects can be integrated into the classes for mathematically promising students. Fifth, the quality of students' former education and its effect on their ability to solve open-ended problems must be taken into consideration. Finally, a creative thinking class can be introduce to the general class. A number of normal students had creativity score similar to those of the mathematically promising students, suggesting that the introduction of a more challenging mathematics curriculum similar to that of the mathematically promising students into the general curriculum may be needed and possible.
This study tried to look into what are happening in the 'class for the talented in invention' using COS-R developed by VanTassel-Baska. Teaching and learning activities within the classroom were observed and analyzed in terms of teacher's observation and teacher's observation, respectively. Based on results of this study, conclusions are as follows. First, it was founded that there are some commonalities between teacher observations and student observations. Based on teacher observations, differentiated teaching activities considering individual characteristics are rarely observed, and for students, it was true. Therefore, supplying a special training program for teachers are needed in order to make teachers and students engage in changing their teaching and learning behaviors. Second, on the side of teachers, they usually emphasize the importance of curriculum planning and implementation, problem solving, creative thinking et al. However, they barely stress the characteristics of research methods, critical thinking, and considering individual characteristics and the level of intellectual ability. Third, on the side of students, they frequently respond to solving problems and critical thinking at the same degree. On the other hand, systemic efforts of considering individual differences and adapting to them have been less regarded in both teaching and learning. In sum, for the successful 'Invention gifted classroom', establishing an educational environment to consider individually guided instruction and taking a balance among various factors embedded in teaching and learning situation should be required.
The purpose of this study was to qualitatively examine the meaning of students' drawings in outdoor classes and modeling-based learning cycles. Ten students were observed in a gifted education center in Seoul. Under the theme of the Hantan River, three outdoor classes and three modeling activities were conducted. Data were collected to document all student activities during field trips and classroom modeling activities using simultaneous video and audio recording and observation notes made by the researcher and students. Please note it is unclear what this citation refers to. If it is the previous sentence it should be placed within that sentence's punctuation. Hatisaru (2020) Ddrawing typess were classified by modifying the representations in a learning context in geological field trips. We used deductive content analysis to describe the drawing characteristics, including students writing. The results suggest that students have symbolic images that consist of geologic concepts, visual images that describe topographical features, and affective images that express students' emotion domains. The characteristics were classified into explanation, generality, elaboration, evidence, coherence, and state-of-mind. The characteristics and drawing types are consecutive in the modeling-based learning cycle and reflect the students' positive attitude and cognitive scientific domain. Drawing is a useful tool for reflecting students' thoughts and opinions in both outdoor class and classroom modeling activities. This study provides implications for emphasizing the importance of drawing activities.
This study examined the characteristics of verbal interactions presented in TS activities with different tasks' openness levels by the cognitive levels of students through the implementation of TS program to 14 fifth graders in gifted class. Results of this study revealed that the open-type TS activities showed higher percentages of verbal interactions than the guiding-type TS activities showed and that the higher the open level of tasks was, the more high-level verbal interactions occurred. These results were showed in almost all subcomponents of verbal interactions. The results according to the students' cognitive levels showed that the higher the cognitive level of students was, higher frequency of interactions, high-level verbal interactions and a variety of verbal interactions occurred. The influence of both cognitive level of students and the task's openness on verbal interactions among students seemed to be interactive, however. In guiding-type activities, the percentage of high-level verbal interactions was not high although the cognitive level of students was high. And students in low level of cognition showed far lower frequency of interactions and their percentage of high-level verbal interactions was low even though the openness of the tasks was high. The results of this study meant that although open-type activities drew higher level verbal interactions by stimulating students' thought, the effects would be limited owing to their low cognitive level. Based on these findings, an implication was suggested that it is important to design instructional strategies and adjust openness level of TS activities to students' cognitive level so as to stimulate the thinking of students in lower cognitive level and to highten their engagement in activities.
Journal of The Korean Association For Science Education
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v.37
no.2
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pp.301-311
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2017
In this study, we observed the characteristics of students' small group discussions concerning the four friction problems. Participants in this study were 22 students of upper-level mechanics course and their small group discussions have been transcribed. As a result, we found that the phenomenon in this study is well defined by 'common context.' The process of formation of the common context was explicitly observed when students discussed about the identification of the problem situation (especially the movement of A in the second problem), the nature of friction and various forces, inertial frame, and noninertial reference frame. Meanwhile, the formation of common context was tacit when students thought they already had a common context. For example, students did not discuss about the friction rule itself because they had confidence about the knowledge. We also found that the presence of the questioner, receiver, and the other opinion were important for positive group discussions. The result of this study would be meaningful because it analyzed how the theme affects the group discussion beyond the limit of previous studies of just analyzing the form or pattern of discourse.
Journal of The Korean Association For Science Education
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v.34
no.4
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pp.385-391
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2014
We use a scale mainly for quantification when we study the psychological characteristics that we cannot observe. The utilization of a scale is frequent in scientific educational studies. The convenience offered by Likert scale, which is among the most frequently used, enable us to grasp characteristic attitude or recognition in students, and evaluate them against an affective domain. But a lot of errors occur, and has been noted as well in the case of utilizing Likert scale in the process. A central tendency in the utilization of Likert scale appears in this study, and the trend analyzes according to study objects and study contents, but we intend to find a way to utilize Likert scale. The results of study made on our countryside students show that the answers tend to get concentrated and a central tendency appears. Our countryside students were aware of the eyes surroundings them, have respect for elders through social experiences, and have had troubles with differentiated expression or personality in the group and cultural environments. According to the object of study, the central tendency appears more among older students than younger students, more among general students than gifted students. In the contents of study, the central tendency has been given more appearance in scope and their exposure has relatively been in large domain. Therefore when utilizing Likert scale in scientific education study, an error of central tendency appears as if they are results of the study. So, when applying the Likert scale to scientific study, we need to consider sociocultural environment, characteristics of an object and contexts of study. This enables avoiding dependence on numerical value of the utilization results, and interpret them correctly.
Journal of The Korean Association For Science Education
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v.35
no.1
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pp.1-14
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2015
The purpose of this study is to examine North Korean defector students' characteristics in science learning through their voice in an "Angbuilgu" program, one of the Korean traditional science knowledge (TSK). We compared them with two other groups of contrasting backgrounds. The Angbuilgu program contains meaningful questions of time, everyday-life knowledge, Korean TSK, and western modern science (WMS). The teaching strategy consists of interactions between teacher and students, and scientific experiments. We applied this program to three groups and analyzed: North Korean defector students, elementary science gifted students, high school students in an advanced class. The characteristics of their science learning show the following: First, their interpretation of time as nature itself in their everyday life. They have rich experience and are familiar with time in nature. Second, they prefer science with complementary, caring, and humanist perspectives, which is in contrast to other groups with preference to the updated and practical science. Third, they lack scientific concepts but possess an abundance of everyday-life knowledge. Their linguistic expressions are ordinary rather than scientific. Fourth, they are familiar with narrative thinking more than scientific thinking. The results show that the science program using Korean TSK can help them accept new scientific knowledge as well as cultural pride, which plays a role in reconfirming their identity as one ethnicity. We expect that the contents of Korean TSK can be an intercultural field between North Korean defector students and our science curriculum.
To assess microbiological indoor air quality in schools, concentrations of viable airborne microorganisms were monitored at classrooms and corridors of 3 middle or high schools in Ulsan. Airborne microorganisms were sampled at various situations during a semester (class-hour, lunchtime, after school) and during a vacation with an impaction-type air sampler. During the semester, the number of bacteria was the highest at lunchtime in corridor with an average of $1,111\;MPN/m^{3}$ and lowest at class-hour in corridor with an average of $132\;MPN/m^{3}$. During the vacation, the bacterial concentrations at classrooms and corridors were only $5{\%}$ and $27{\%}$ of the values during class-hours of the semester, respectively. Among the colonies tested, $60{\%}$ were identified as relatively harmless Micrococcus species and $12{\%}$ were Staphylococcus species. During the semester, the average values of fungal concentrations at each situation ranged from 105 to $213\;MPN/m^{3}$, and the values during the vacation were $32\;MPN/m^{3}$ at classrooms and $83\;MPN/m^{3}$ in corridors. Fungal genera such as Cladosporium, Penicillium, and Aspergillus were identified from the colonies. The obtained data can be considered as a step to set a guideline for bioaerosols in indoor environment of schools.
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