• Journal of the Korean School Mathematics Society
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• v.21 no.4
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• pp.419-443
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• 2018

The purpose of this study was to analyze the problem solving strategies of ordinary students, gifted students, pre-service teachers, and in-service teachers with the 'chicken and pig problem,' which has multiple strategies to obtain the solution. For this study, 98 students in the 6th grade elementary schools, 96 gifted students in a gifted institution, 72 pre-service teachers, and 60 in-service teachers were selected. The researcher presented the "chicken and pig" problem and requested them the solution strategies as many as possible for 30 minutes in a free atmosphere. As a result of the study, the gifted students used relatively various and efficient strategies compared to the ordinary students, and there was a difference in the most used strategies among the groups. In addition, the percentage of respondents who suggested four or more strategies was 1% for the ordinary students, 54% for the gifted students, 42% for the pre-service teachers, and 43% for the in-service teachers. As suggestions, the researcher asserted that various kinds of high-quality mathematical problems and solving experiences should be provided to students and teachers and have students develop multi-strategy problems. As a follow-up study, the researcher suggested that multi-strategy mathematical problems should be applied to classroom teaching in a collaborative learning environment and reflected them in teacher training program.

• Education of Primary School Mathematics
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• v.25 no.2
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• pp.143-160
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• 2022

This study was conducted to discuss educational implications by analyzing the types of mathematical thinking that appeared in challenge math in 5th and 6th grade math teacher's guidebooks. To this end, mathematical thinking types that can be evaluated and nurtured based on teaching and learning contents were organized, a framework for analyzing mathematical thinking was devised, and mathematical thinking appearing in Challenge Math in the 5th and 6th grade math teachers' guidebooks was analyzed. As a result of the analysis, first, 'challenge mathematics' in the 5th and 6th grades of elementary school in Korea consists of various problems that can guide various mathematical thinking at the stage of planning and implementation. However, it is feared that only the intended mathematical thinking will be expressed due to detailed auxiliary questions, and it is unclear whether it can cause mathematical thinking on its own. Second, it is difficult to induce various mathematical thinking at that stage because the questionnaire of the teacher's guidebooks understanding stage and the questionnaire of the reflection stage are presented very typically. Third, the teacher's guidebooks lacks an explicit explanation of mathematical thinking, and it will be necessary to supplement the explicit explanation of mathematical thinking in the future teacher's guidebooks.

• The Mathematical Education
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• v.62 no.1
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• pp.35-55
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• 2023

The purpose of this study is to examine not only students' cognition in the mathematical error-finding activity of the concept of irrational numbers, but also the students' learning stance regarding the use of errors and a teacher's questioning strategies that lead to changes in the level of mathematical discourse. To this end, error-finding individual activities, group activities, and additional interviews were conducted with 133 middle school students, and students' cognition and the teacher's questioning strategies for changes in students' learning stance and levels of mathematical discourse were analyzed. As a result of the study, students' cognition focuses on the symbolic representation of irrational numbers and the representation of decimal numbers, and they recognize the existence of irrational numbers on a number line, but tend to have difficulty expressing a number line using figures. In addition, the importance of the teacher's leading and exploring questioning strategy was observed to promote changes in students' learning stance and levels of mathematical discourse. This study is valuable in that it specified the method of using errors in mathematics teaching and learning and elaborated the teacher's questioning strategies in finding mathematical errors.

• Education of Primary School Mathematics
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• v.27 no.1
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• pp.39-55
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• 2024

Recently, the 2022 revised mathematics curriculum has established achievement standards for equal sign and equality, and efforts have been made to examine teaching methods and student understanding of relational understanding of equal sign. In this context, this study conducted a lesson that emphasized relational understanding in an introduction to equal sign, and compared and analyzed the understanding of equal sign between the experimental group, which participated in the lesson emphasizing relational understanding and the control group, which participated in the standard lesson. For this purpose, two classes of students participated in this study, and the results were analyzed by administering pre- and post-tests on the understanding of equal sign. The results showed that students in the experimental group had significantly higher average scores than students in the control group in all areas of equation-structure, equal sign-definition, and equation-solving. In addition, when comparing the means of students by item, we found that there was a significant difference between the means of the control group and the experimental group in the items dealing with equal sign in the structure of 'a=b' and 'a+b=c+d', and that most of the students in the experimental group correctly answered 'sameness' as the meaning of equal sign, but there were still many responses that interpreted the equal sign as 'answer'. Based on these results, we discussed the implications for instruction that emphasizes relational understanding in equal sign introduction lessons.

• The Journal of Sustainable Design and Educational Environment Research
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• v.8 no.1
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• pp.23-33
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• 2009

The purpose of this study was to examine the basic academic achievement of technical high school students, their learning capability about major, their adaptability to school instruction and whether those factors of them was linked to their career in an effort to suggest workable reform measures. Technical high school seniors to grasp their basic learning capabilities and their opinions on the curricula. The findings of the study were as follows: First, the civil engineering students at technical high school weren't fully able to understand what they learned because of their poor basic achievement. They should take all the required courses to fix their academic deficiencies in the first year of high school, and client-centered additional education should be provided about particular subjects, such as mathematics, which they should learn to study their major. Second, many of the students chose technical high school through the advice of parents or since they weren't able to go onto academic high school. So they entered technical high school without knowing well about their major, and vocational education wasn't properly publicized. As students make a critical career decision in middle school, the government should build permanent pavilions for vocational-education exhibition where interested students can acquire information and explore their career without any restraints. Current fragrant vocational education that is based on experiential learning should be avoided. Third, the government substituted regular classroom teaching for field practice, and that resulted in providing just uniform instruction, destroying learning atmosphere and eventually holding teachers back from offering quality education. To remedy the situation, two different sorts of classes should be prepared. One type of classes are for college- bound students, and the others are for job-seeking students. College- bound students should receive education about humanities to improve their academic deficiencies, and job-seeking seniors should be allowed to take field-practice courses at authorized companies in the second semester. It's advisable personally and socially to help ensure their successful and immediate social adjustment.

• Journal of The Korean Association of Information Education
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• v.20 no.3
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• pp.273-282
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• 2016

The new STEAM program suggested in this paper aims at helping students to have interest in information security engineering experts and to design their career creatively through the project on future promising career. The program was designed to help teachers and students understand the jobs and capabilities required for information security experts through direction and execution of the information security expert project. Teaching tools of information security through simulation hacking play activities based on hexagon cell is designed to provide students with the chance to indirectly experience the job of a computer security expert through an unplugged education. Because the content of cyber security is unfamiliar and difficult to understand, the program is designed to allow students to access the key principle of the job, rather than to describe the technical part. Using this program, students will be able to communicate with each other to solve the problems, to have interest in computer security experts, and to design their careers in a creative manner.

• Journal of The Korean Association For Science Education
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• v.17 no.3
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• pp.251-260
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• 1997

The instructional influences of cooperative learning strategies, which emphasize mutual interdependency of learners, group goal, and individual accountability, upon students' achievement, the attitude toward science instruction and the perception of learning environment were investigated. Before instruction, the prior knowledge test about atoms and molecules, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered, and the grade in the previous mathematics course was obtained. These scores were used as covariates. Mid-term examination score was used as blocking variable. For instruction, three different strategies-traditional individual learning, small group learning, and cooperative learning-were used and teaching materials for the units of mole and stoichiometry were also prepared. After instruction, the researcher-made achievement test, the test of attitudes toward science instruction, and the perception questionnaire of learning environment were administered. The perception questionnaire of group activities was also administered to the two treatment groups. In the quantitative subtest, the scores of cooperative learning group and small group learning group were significantly higher than those of traditional individual learning group. However, the cooperative learning group's scores in the achievement test and the qualitative subtest were significantly higher than those of small group learning group and traditional individual learning group. The students in the cooperative learning group were found to have the most positive perception of learning environment but to have similar attitudes toward science instruction. No interaction between the treatment and the level of the previous achievement was found in any of the analyses. In the perception questionnaire of group activities, students in both small group learning group and cooperative learning group exhibited positive perception of group activities. However, students in the cooperative learning group tended to think that their activities were related with their group's success. Educational implications are discussed.

• Journal of The Korean Association For Science Education
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• v.34 no.3
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• pp.295-301
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• 2014

The purpose of this study is to investigate the difficulties of teachers and students on the unit about 'measuring weight.' In this research, we have acquired data about teachers through survey, interview, and self-reflection journals, at the same time we have collected information on the students through survey, assessment test, and interview. We have extracted the difficulties from analysis with constant comparison method. In addition, we have analysed the curriculum of science and mathematics to know the leaning sequence. The analysis had been checked up by experts in science education. The result of the study is as follows: The difficulties of teachers are from the lack of teachers' descriptive knowledge, disorder of conceptual hierarchy in the curriculum, poor experimental instruments, and low psychomotor skill of students. The difficulties of students are from common misconceptions, opaque concepts, lack of manipulation skill, insufficiency of mathematical ability, difficulty of application of principles to the real situation, and lack of problem-solving ability. In addition, teachers have recognized that students face more difficulties in experiment class, while students think that they face more difficulties in conceptual understanding class.

• Journal of Science Education
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• v.41 no.3
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• pp.480-498
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• 2017

This study analyzed the errors of 6th graders of elementary school in problem solving process of the measurement domain. By analyzing the errors that students make in solving difficult problems, this study tried to draw implications for teaching and learning that can help students reach their achievement standards. First, though the students were given enough time to deal with problems, the fact that about 30~60% of students, based upon the problems given, can't solve them show that they are struggling with a part of measurement domain. Second, it was confirmed that students' understanding of the unit of measurement, such as relationship between units, was low. Third, the students have a low understanding in terms of the fact that once the base is set in a triangle then the height can be set accordingly and from which multiple expressions, in obtaining the area of the triangle, can be driven.

• Journal of The Korean Association of Information Education
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• v.18 no.2
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• pp.285-294
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• 2014

Recently, research using robots as a learning tool has increasingly been conducted in K-12 education area. It has been known that hands-on robots give positive educational effect not only on science and mathematics, but on STEAM activity, and help improve the abilities necessary in the 21 century, such as critical thinking, creativity, communication skills, and team work. Despite many research achievements, there is still few research on robot based curriculum to improve the instrumental application of robots in the primary and secondary education fields. In other words, there is a lack of studies of systematic educational contents, educational methods and educational evaluation to increase the instrumental application according to schools and class years. Therefore, this study analyzed domestic and foreign robot based curriculums and relevant cases to develop 'robot' related educational programs in primary school and middle school, suggested the achievement objectives in the robot area as a sub category of the computer science curriculum which will be revised, and proposed teaching-learning method and evaluation method.