• Communications for Statistical Applications and Methods
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• v.6 no.1
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• pp.251-259
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• 1999

The purpose of this study is to develope a program for statistics education. This program deals with simulation which is helpful in understanding some elementary statistical concepts. This program under multimedia environment which includes sound video animation etc. doesn't show only the result but make it possible for students to execute the program by stages. This type of dynamic learning is efficient to overcome the limits of teaching materials or classroom work. Also it can interest students greatly. By executing it the students can understand the method and meaning of simulation and acquire concepts of probability and statistical inference naturally.

• Journal of the Korean Data and Information Science Society
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• v.19 no.4
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• pp.1101-1110
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• 2008

The present paper investigates about the formation of the logical thinking and the intuitive thinking in mathematical concepts with reference to secondary talented students (students aged 16$\sim$17 years). As a main result, we conclude that their preference between the logical and the intuitive thinking does not related to the distinction of the school level and sex, while their consistence between them relates.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.519-538
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• 2013

The purpose of this study, for each section of high school mathematics I help to verify the utillization of instructional class in the formation of students' academic achievement and mathematical beliefs. For this purpose we construct an experimental class and then analyse the students' change in those aspects after applying concept learning hand-out and colleage feedback on their works those students are in the experimental class. As a result of the experiment, we find that concept learning hand-out activity and colleague feedback made some significant changes on the students achievement in mathematics and mathematical beliefs. Therefore, in this study I want to solve the concrete problems are as follows. First, utilizing the concepts of mathematics tutoring lessons to improve students' academic achievement is it effective? Second, utilizing the concepts of mathematics tutoring classes does have a positive impact on students' mathematical beliefs? Third, utilizing the concepts of mathematics tutoring lessons for students what is the reaction?

• Journal of the Korean Chemical Society
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• v.46 no.4
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• pp.345-353
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• 2002

The purpose of this study was to analyze the influence of mental capacity and understanding of the oxi-dation-reduction concepts on the completion of the balancing redox equations. Participants were 92 senior high school students and 57 science high school students. Tests were conducted to measure the mental capacity, the understanding of the oxidation-reduction concepts and the completion of the balancing redox equations and the influence on the per-formance was analyzed. The performance of the senior high school students increased as the mental capacity increased, but the performance of science high school students did not change by mental capacity. Most of senior high school stu-dents couldn't understand the oxidation-reduction concepts well. Most of science high school students, however, under-stood the concepts completely and partially. The students who had a good understanding of the oxidation-reduction concepts showed a good performance for both senior and science high school students, regardless of the problem pattern.

• Journal of Korean Elementary Science Education
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• v.25 no.spc5
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• pp.485-494
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• 2007

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.

• Communications of Mathematical Education
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• v.25 no.2
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• pp.403-430
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• 2011

The purpose of the study was to investigate how the use of graphing calculators influence on forming students' mathematical concept of algebra, students' mathematical connection, and attitude toward mathematics. First, graphing calculators give instant feedback to students as they make students compare their written answers with the results, which helps students learn equations and linear inequalities for themselves. In respect of quadratic inequalities they help students to correct wrong concepts and understand fundamental concepts, and with regard to functions students can draw graphs more easily using graphing calculators, which means that the difficulty of drawing graphs can not be hindrance to student's learning functions. Moreover students could understand functions intuitively by using graphing calculators and explored math problems volunteerly. As a result, students were able to perceive faster the concepts of functions that they considered difficult and remain the concepts in their mind for a long time. Second, most of students could not think of connection among equations, equalities and functions. However, they could understand the connection among equations, equalities and functions more easily. Additionally students could focus on changing the real life into the algebraic expression by modeling without the fear of calculating, which made students relieve the burden of calculating and realize the usefulness of mathematics through the experience of solving the real-life problems. Third, we identified the change of six students' attitude through preliminary and an ex post facto attitude test. Five of six students came to have positive attitude toward mathematics, but only one student came to have negative attitude. However, all of the students showed positive attitude toward using graphing calculators in math class. That's because they could have more interest in mathematics by the strengthened and visualization of graphing calculators which helped them understand difficult algebraic concepts, which gave them a sense of achievement. Also, students could relieve the burden of calculating and have confidence. In a conclusion, using graphing calculators in algebra and function class has many advantages : formulating mathematics concepts, mathematical connection, and enhancing positive attitude toward mathematics. Therefore we need more research of the effect of using calculators, practical classroom materials, instruction models and assessment tools for graphing calculators. Lastly We need to make the classroom environment more adequate for using graphing calculators in math classes.

• School Mathematics
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• v.12 no.4
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• pp.547-561
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• 2010

Even though statistics is considered as one of the areas of mathematical science in the school curriculum, it has been well documented that statistics has distinct features compared to mathematics. However, there is little empirical educational research showing distinct features of statistics, especially research into the understanding of statistical concepts which are different from other areas in school mathematics. In addition, there is little discussion of a relationship between the ability of mathematical thinking and the ability of understanding statistical concepts. This study extracted some important concepts which consist of the fundamental statistical reasoning and investigated how mathematically high achieving students understood these concepts. As a result, there were both kinds of concepts that mathematically high achieving students developed well or not. There is a weak correlation between mathematical ability and the level of understanding statistical concepts.

• The Mathematical Education
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• v.52 no.4
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• pp.497-516
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• 2013

Inspite of many strengthens of storytelling mathematics education, some problems are expected: when math is taught in concrete contexts, students may have trouble to extract concepts, to transfer to noble and abstract contexts, and they may experience inert knowledge problem. Low achieving students are particularly prone to these issues. To solve these problems some suggestions are made by the author. These are analogous encoding and progressive formalism. Using analogous encoding method students can construct concepts and schema more easily and transfer knowledge which shares structural similarity. Progressive formalism is an effective way of introducing concepts progressively moving from concrete contexts to abstract context.

• The Mathematical Education
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• v.47 no.4
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• pp.405-419
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• 2008

The purpose of this study is to find oui the effects of teaching mathematical concepts by designing and applying teaching and learning programs that takes into consideration the students' strong intelligence, through the teaching and learning strategies based on the multiple intelligences theory. For this study, developmental and experimental research was conducted. In the developmental research part of the study, teaching and learning programs for teaching the concept of multiplication were designed and the activities based on the multiple intelligences were chosen. On the other hand, in the experimental research part, the data acquired from the application of nonequivalent control group pretest-posttest design in the actual classes was processed and analyzed. The results above indicate that the teaching and learning program based on the multiple intelligences theory improved the students' overall understanding of mathematical concepts by providing various types of activities. In addition, this program helped students to increase their confidence and generate a positive attitude towards learning math.

• School Mathematics
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• v.3 no.2
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• pp.373-399
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• 2001

The function is a basic and key concept to understand mathematical problems. However, many students have difficulties to expand the knowledge to other related concepts and to transfer the knowledge to real world problems. The reasons for the problem may be that the concept of function is taught by simplified and abstracted formula without fully understanding of the reasoning process. Also, the examples for the concepts are artificial and not related to students' experiences. Situated learning theory provides great implications to solve these problems. So, this study was designed to teach the concept of function more meaningful to students by appling situated learning theory. Thirty-eight middle school students were participated in this study. Students were provided the instruction designed according to the principles of situated learning theory. Then, they were asked to complete attitude survey questionnair and a performance assessment task. The result showed that the instruction based on situated learning theory was useful to Promote students' understanding and motivation for learning. More implications of the study was provided in the paper.