• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.11
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• pp.473-480
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• 2018

This study is intended to look into the effects of children's forest math game activities on their understanding of number and space concept. To achieve this, an evaluation was carried out to 20 4-year-old children in each group - experimental group and control group - by an evaluation sheet after forest math game activities during a total of 16 sessions 4 times a week for 4 weeks. The findings are as follows. First, children's forest math game activities had an effect on their understanding of number and space concept. Second, the difference between experimental group and control group showed that the experimental group received higher evaluation in the classifying and order finding items than the control group. It was confirmed that classifying and order finding in the forest math game were factors to help children's mathematical problem-understanding abilities. This implies that their forest math game activities have a positive effect on their mathematical problem-understanding abilities. Consequently, active forest math game activities for children are needed to help them understand the concept of number in the process of classifying task objects and solving tasks in order.

• Journal of the Korean School Mathematics Society
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• v.13 no.3
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• pp.483-498
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• 2010

The purpose of this paper is to investigate the dispositions of university students' understanding and reasoning about rational number concept. For this, we surveyed for the subject groups of prospective math teachers(33), engineering major students(35), American engineering and science major students(28). The questionnaire consists of four problems related to understanding of rational number concept and three problems related to rational number operation reasoning. We asked multi-answers for the front four problem and the order of favorite algorithms for the back three problems. As a result, we found that university students don't understand exactly the facets of rational number and prefer the mechanic approaches rather than conceptual one. Furthermore, they reasoned illogically in many situations related to fraction, ratio, proportion, rational number and don't recognize exactly the connection between them, and confuse about rational number concept.

• Journal of The Korean Association For Science Education
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• v.19 no.2
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• pp.305-314
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• 1999

The effects of three teaching models were compared in this research. One of those is concept change model, another is concept change model based on students learning motivations, the other is traditional teaching method based on science textbooks. The subjects of this research were the 8th grade students of Korean middle school. They were divided into three groups, and tested learning motivations. All of the three groups improved their learning motivations and concept understanding by the classes. Especially, the group of concept change model based on students learning motivations represented most effective improvement of learning motivations. The concept change teaching model and concept change teaching model based on students learning motivations are more effective in concept understanding than traditional teaching method based on textbooks. The students who have high learning motivations improved their concept understanding by the classes of concept change model based on students learning motivations. The students who have low learning motivations improved their learning motivations by the classes of concept change model based on students learning motivations also.

• Korean Journal of Child Studies
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• v.18 no.2
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• pp.57-71
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• 1997

This study discusses the nature of data-interpretation process in the perspective of modern hermeneutics and explores its methodological implications for qualitative research on the life of children. Discussions center around the basic concepts of modern hermeneutics, such as the conceptual distinctions between understanding and explanation, the intersubjective reality constituted between the child's horizon and the researcher's, the concept of the hermeneutics circle and the importance of the openness of language in understanding children's lifeworld. The conclusions are made as follows: First, the concept of "understanding", which is the basic concern of qualitative research on children, has a much different meaning from that of "explanation" in quantitative research. The task of understanding lies in interpreting the lived meaning in context as experienced by children in all its complexity. Second the researcher's subjectivity in the interpretation process has a dual function in that it can produce a faulty hermeneutics circle and yet it provides the researcher with the strong momentum to open up her understanding towards a deeper and wider level. Third, the reliability and the validity of qualitative research should be discussed within the interpretation process itself in that interpretation in qualitative research is guided basically by the researcher's internal dialectic: between data (text) and her subjectivity. Lastly, the language in interpretive research should be open and free in terms of style in order to present a fuller and richer description of children's lifeworld and the delicate textures of their lived meanings.

• Journal of the Korean Society of Earth Science Education
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• v.4 no.2
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• pp.126-133
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• 2011

This study explored different concepts by handing out the questionnaires asking the 6 students of the second year of junior high school who had no lesson on cycle "which words related to cycle are suggested?" In regard to the stimulation of the word 'cycle', students relate it to different fields that they learn at school such as biology, environmentology, and earth science. The analyzed results from the answers by students are as follows. First, it resulted in from analysis on the questionnaire and the half-structured interviews that students were unable to expand the concept of cycle to the scientific concept, and perceived it fragmentarily. Secondly, their understanding on the system of the earth was low and they understood the concept of cycle with a unilinear thought rather than a systematic thought. Therefore, we need to synthesize the students' unilinear thoughts on cycle shown through this study and an effective educational strategy for their continuous, systematic thoughts, is essential.

• The Mathematical Education
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• v.61 no.2
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• pp.323-338
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• 2022

The purpose of this study are to analyze how well middle and high school students understand the concept definition of quadrangle and to explore the phenomenon about their concept image. A test tool was developed and 60 8th graders, 63 9^th graders and 65 10^th graders were tested, and some students who needed in-depth analysis were interviewed. The results are as follows. First, it cannot be said that understanding level of the concept definition of the quadrangle naturally improves as the grade level goes up. Particularly, it was found that the understanding of the definition of the rhombus is the lowest in all three grades compared to other quadrangle. Second, although female students understood the definition of square better than male students, the understanding level of the definition of trapezoid, parallelogram, rhombus, and rectangle did not differ by gender. Third, it was found that the students who did not understand the concept definition of the quadrangle were more and more influenced by the concept image as the grade level went up. Fourth, it showed that a tendency to be less influenced by the concept definition and more influenced by textbooks and teachers as the grades go up when students form a concept image.

• Communications of Mathematical Education
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• v.32 no.2
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• pp.131-146
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• 2018

Differentiation with integration is an important subject which is widely applied in mathematics, natural science, and engineering. Derivative is an important concept of differentiation. But students don't understand its concept well and concentrate on acquiring only the skill to solve the standardized calculus problem. So they are poor at understanding of the concept of differentiation. In this study, after making a survey of differentiation on college students, we try to analyze errors which appeared in solving differentiation problem and investigate mathematics process of limiting process inherent in the derivative and historical development about derivative. Thus, we try to analyze the understanding of differentiation and present the results about this.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.37-62
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• 2014

In this thesis, we inquire into teaching method of decimal fraction concept in elementary mathematics education based on measurement activity. For this purpose, our research tasks are as follows: First, we design a experimental learning-teaching plan of 'decimal fraction' unit in 4th grade textbook and verify its effect. Second, after teaching experiment using experimental learning-teaching plan, we analyze the student's status of understanding about decimal fraction concept. As stated above, we have performed teaching experiment which is ruled by new lesson design and analysed the effects of teaching experiment. Through this study, we obtained the following results. First, introduction of decimal fraction based on measurement activity promotes student's understanding of measuring number and decimal notation. Second, operator concept of decimal fraction is widely used in daily life. Its usage is suitable for elementary mathematics education within the decimal notation system. Third, a teaching method of times concepts using place value expansion of decimal fraction is more meaningful and has less possibility of misunderstanding than mechanical shift of decimal point. Fourth, teaching decimal fraction through the decimal expansion helps students with understanding of digit 0 contained in decimal fraction, comparing of size and place value. Fifth, students have difficulties in understanding conversion process of decimal fraction into decimal notation system using measurement activity. It can be done easily when fraction is used. However, that is breach to curriculum. It is necessary to succeed research for this.

• Journal of The Korean Association For Science Education
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• v.29 no.8
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• pp.898-909
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• 2009

In this study, we investigated the influences of the role-playing analogy in chemistry concept learning on mapping understanding and mapping errors by analogical reasoning ability level. Seventh-graders (N=151) at a middle school were assigned to the comparison group and the experimental group. The students of the experimental group were taught with the 'running in the circle' role-playing analogy. After the students were taught about 'the relation between volume and pressure of gas', the test of mapping understanding in the next class and the retention test four weeks later were administered. The students with typical mapping errors were also interviewed to investigate their mapping processes. The results revealed that the role-playing analogy in chemistry concept learning improved mapping understanding and its retention regardless of analogical reasoning ability level. It was also found that the students in the experimental group had fewer mapping errors than those in the comparison group. However, there were similar patterns of mapping errors in both groups, and there were no significant differences in the frequencies of each type of mapping errors by analogical reasoning ability level. Educational implication of these findings are discussed.

• Communications of Mathematical Education
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• v.31 no.1
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• pp.85-101
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• 2017

The purpose of this study is to investigate how elementary school students understand and use the number line relating number concept and what is the main problem in the learning process. For the efficient achievement of this purpose, we investigated how the number line metaphor is related to the number concept and considered the role of the number line on Freudenthal's number concept teaching theory. The test conducted to find the degree of understanding and difficulty on using the number line by actual elementary school students consisted of two questions ; to find appropriate number corresponding to the given number on the number line and to identify contents of chapters about the use of number line on each grade. It was found that many students couldn't solve the problem represented by the number line though they could solve the problem represented by other ways such as number track and pictures. The only difference between the two problems was the way of representation, and they had same contents and structure. This study tried to figure out the meaning of this phenomenon. Also, by using various teaching-learning method (number track, pictures, empty number line, and double number line etc.), this study was aimed to provide the way to help learning 'related number concept' and to solve the difficulty on understanding the number line.