• Journal of Educational Research in Mathematics
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• v.21 no.3
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• pp.239-259
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• 2011

This study investigated the elementary school students' ability on the algebraic reasoning as generalized arithmetic. It analyzed the written responses from 648 second graders, 688 fourth graders, and 751 sixth graders using tests probing their understanding of the properties of whole number operations. The result of this study showed that many students did not recognize the properties of operations in the problem situations, and had difficulties in applying such properties to solve the problems. Even lower graders were quite successful in using the commutative law both in addition and subtraction. However they had difficulties in using the associative and the distributive law. These difficulties remained even for upper graders. As for the associative and the distributive law, students had more difficulties in solving the problems dealing with specific numbers than those of arbitrary numbers. Given these results, this paper includes issues and implications on how to foster early algebraic reasoning ability in the elementary school.

• Journal of The Korean Association For Science Education
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• v.22 no.1
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• pp.204-213
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• 2002

In this study, the students' responses on the items of chemistry II in the College Scholastics Ability Test (CSAT) implemented for the past 3 years since 1999 was investigated. The number of applicants and mean score of chemistry II, average percent correct by contents and inquiry process, and the items with high and/or low percent correct are analysed and discussed. The percentage of applicants for natural science track is reduced each year. However, more than 25% of natural science track applied to chemistry II, which ranked second to biology II. The mean score of chemistry II was increased in 2001 along with those of other subjects. There is no difference in average percent correct either by contents or inquiry process. Students performed generally poor at solving test items relating to 'colligative properties of solution' such as 'boiling point elevation' or 'osmotic pressure', and very well at solving test items relating to 'reaction rates'. Educational implications are discussed.

• School Mathematics
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• v.17 no.2
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• pp.355-376
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• 2015

This study aims to inspect the effect of the yungbokhap education on the development of students' mathematical competence by analyzing students' mathematical discourse in math-based yungbokhap instruction designed by Moon(2014). Specifically, this research focused on the analysis of students' participation structure. The reuslts shows that the students' competence for mathematical communication and inquiry has been improved through the instruction. In particular, the students were increasingly engaged with consensual talk. Also, in the beginning stage, the students tended to unconditionally criticize for others' mathematical opinion. Through the class participation, they gradually developed the competence to express their mathematical ideas to their peers with reasonable mathematical bases. These results suggests that the mathematics-based yungbokhap instruction has positively contributed to the improvement of students' mathematical competence. Based on the results, this paper presented implications for mathematics-based yungbokhap instrcution.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.383-398
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• 2009

We conduct a survey on mathematics academic achievement to 4th, 5th, and 6th grade elementary school students at Dong-Gu in Busan in order to provide teachers in elementary schools with basic research data. The survey questionnaire includes home background, private education, the difficulty degree of mathematics textbook, practical usage of computers, group-teaching, teaching methods, preview, review, homework amount, learning attitude, problem solving ability, interest for mathematics, and the relationships of a home room teacher and friends. Based on survey data we perform factor analysis to find major factors affecting mathematics academic achievement. We identify if there are statistically significant differences in responses of survey for gender group and grade group with regard to survey questions belonging to the major factors obtained in factor analysis.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.559-577
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• 2011

The purpose of this study was to investigate the effects of discourse-based math instructions on the students' mathematical attitudes and learning achievements by providing fifth graders with an opportunity to take active part in learning during math classes and applying discourse-based math instructions, which are to expand the speaking experiences as the most fundamental way to express ideas in communication. Those research efforts led to the following results: First, the discourse-based math instructions turned out to have positive influences on flexibility, will power, curiosity, reflection, and value of mathematical attitudes. When the results were reviewed before and after the instructions without considering the subvariables of attitude, there were statistically significant differences(p<0.01), which indicates that the discourse-based math instructions exerted very positive effects on the students mathematical attitudes. Second, there were no statistically significant effects in learning achievements between the experimental and comparative group, but the experimental group, which recorded low mean scores in the pre-test, increased their mean scores by 3.81 points in the post-test, which suggests that the discourse-based math instructions had positive influences on them. Third, the subjects' responses on the questionnaire on discourse-based instructions reveal that the discourse-based math instructional provided them with an opportunity to explore solutions in various ways. In short, discourse-based math instructions have positive influences on mathematical attitudes and are effective in increasing communication ability.

• Journal of The Korean Association of Information Education
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• v.20 no.3
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• pp.243-254
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• 2016

This study has produced a checker of the shortest path search problem with a total of 19 questions as a web-based computer evaluation based on the 'TRAFFIC' questions of PISA 2012. It is because the computer has been settled as an indispensable and significant instrument in the process of solving the problems of everyday life and as a media that is underlying in assessment. Therefore, information gifted students should be able to solve the problem using the computer and give clear enough commands to the computer so that it can perform the procedure. In addition, since it is the age that the computational thinking is affecting every sectors, it should give students new educational stimuli. The relationship between the rate of correct answers and the time took to solve the problem through the shortest route search process showed a significant correlation the variable that affected the problem solving as the difficulty of the question rises due to the increase of nodes and edges turned out to be the node than the edge. It was revealed that information gifted students went through algorithmic thinking in the process of solving the shortest route search problem. And It could be confirmed cognitive characteristics of the information gifted students such as 'ability streamlining' and 'information structure memory'.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.65-78
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• 2006

The law of refraction, which is called Snell's law in physics, has a significant meaning in mathematics history. After Snell empirically discovered the refraction law $\frac{v_1}{sin{\theta}_1}=\frac{v_2}{sin{\theta}_2$ through countless observations, many mathematicians endeavored to deduce it from the least time principle, and the need to surmount these difficulties was one of the driving forces behind the early development of calculus by Leibniz. Fermat solved it far advance of others by inventing a method that eventually led to the differential calculus. Historically, mathematics has developed in close connection with physics. Physics needs mathematics as an auxiliary discipline, but physics can also belong to the lived-through reality from which mathematics is provided with subject matters and suggestions. The refraction law is a suggestive example of interrelations between mathematical and physical theories. Freudenthal said that a purpose of mathematics education is to learn how to apply mathematics as well as to learn ready-made mathematics. I think that the refraction law could be a relevant content for this purpose. It is pedagogically sound to start in high school with a quasi-empirical approach to refraction. In college, mathematics and physics majors can study diverse mathematical proof including Fermat's original method in the context of discussing the phenomenon of refraction of light. This would be a ideal environment for such pursuit.

• Journal of the Korea Computer Industry Society
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• v.2 no.11
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• pp.1407-1420
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• 2001

There is an increasing concern about computer education with the age of knowledge-based society. The learning programming language is taking an important role of computer education. However, the special emphasis in learning programming language has been attached to memorizing the programming language by rote and learning computer programs. Therefore, those were not much useful tools to develope a logical intelligence of the meanings of programming language and the methods of realization. It is positively necessary to improve the programming education efficiently because of the objects of knowledge of computing and raising an efficiency of problem solving. Under the circumstances, this research is aimed at representing an useful education model through developing a mathmatical program into each part of the C programming language, which would be a new supplier of an basic insight into the programming language and techniques. Accordingly it is thought that the research material will be an useful model to increase interests and concerns as well as to raise an efficiency of problem solving or a logical intelligence going through the process of studying programming language.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.19 no.3
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• pp.689-696
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• 2015

In this study, a learning system based on smart learning is proposed so that students with learning disabilities can learn the effective use of meta-cognitive to solve problems arising during the learning process. The features of the proposed system are as follow. First, it is possible to achieve students' individualized learning by use of smart devices and smart education system. Second, it is possible to provide the constant repetition learning for students. Third, students can improve their achievement using the proposed app. The proposed smart education system using meta-cognition was applied to some learning disabilities students. The following results were obtained. First, the disabled students could have an interest in learning math and improve confidence. Second, the student's mathematical problem-solving skills have improved. Third, students' individualized and self-directed learning was achieved.

• Journal of The Korean Association of Information Education
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• v.12 no.2
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• pp.195-202
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• 2008

The programming learning by using a robot may be one of the most appropriate learning methods for enabling students to experience the creative learning of future society by avoiding the existing stereotyped style educational environment, and understand and improve algorithm which is the basic fundamental of mathematics and science. This study proposed four types of items of errors which may occur during robot programming by elementary school students, and made elementary school students in the fifth and sixth grades learn robot programming after developing the curriculum for the robot programming. Then, the study collected and classified errors that had occurred during the process of learning, and conducted a comparative analysis of computer-based programming language which had been previously studied. This study identified that robot programming in elementary school was shown superior to existing computer-based programming language as a creative learning method and tool through the field experience.