• Communications of Mathematical Education
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• v.29 no.1
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• pp.111-130
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• 2015

The purpose of the study was to investigate the differences between two groups of students according to information recognition styles such as visual learners and linguistic learners. Two instructional methods, algeblocks and factorization formula, were utilized to introduce the factorization. Four students were participated for the study, and two of them were visual learners and the other two were linguistic learners based on learning style test. Interviews and the diagnostic tests were implemented before the instructions which were lasted for 6 sessions. After the instructions all the participants were interviewed and the researchers also interviewed them 5 days later. The results of the study were the followings: 1. All the participants regardless of their learning style revealed that algeblocks were helpful in understanding the factorization. 2. Visual learners were more likely using algeblocks, while the linguistic learners were more enthusiastic and proficient in using formula to solve the problems. 3. Five days later, two types of learning style students revealed different tendencies. Visual learners mainly used algeblocks, and linguistic learners were not enthusiastic about using algeblocks and one of them did not use them at all. 4. Five days later, two visual learners could not remember the formula, but linguistic learners could remember the formula in somewhat different level.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.159-170
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• 2012

Many obstacles have been found in the learning of ratio and rate. The types of epistemological obstacles concern 'terms', 'calculations' and 'symbols'. It is important to identify the epistemological obstacles that students must overcome to understand the learning of ratio and rate. In this respect, the present study attempts to figure out what types of epistemological obstacles emerge in the area of learning ratio and rate and where these obstacles are generated from and to search for the teaching implications to correct them. The research questions were to analyze this concepts as follow; A. How do elementary students show the epistemological obstacles in ratio and rate? B. What is the reason for epistemological obstacles of elementary students in the learning of ratio and rate? C. What are the teaching implications to correct epistemological obstacles of elementary students in the learning of ratio and rate? In order to analyze the epistemological obstacles of elementary students in the learning of ratio and rate, the present study was conducted in five different elementary schools in Seoul. The test was administered to 138 fifth grade students who learned ratio and rate. The test was performed three times during six weeks. In case of necessity, additional interviews were carried out for thorough examination. The final results of the study are summarized as follows. The epistemological obstacles in the learning of ratio and rate can be categorized into three types. The first type concerns 'terms'. The reason is that realistic context is not sufficient, a definition is too formal. The second type of epistemological obstacle concerns 'calculations'. This second obstacle is caused by the lack of multiplication thought in mathematical problems. As a result of this study, the following conclusions have been made. The epistemological obstacles cannot be helped. They are part of the natural learning process. It is necessary to understand the reasons and search for the teaching implications. Every teacher must try to develop the teaching method.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.13-26
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• 2011

The purpose of this research is to analyze geometrical level and the justification process in the proofs of construction by mathematically gifted elementary students. Justification is one of crucial aspect in geometry learning. However, justification is considered as a difficult domain in geometry due to overemphasizing deductive justification. Therefore, researchers used construction with which the students could reveal their justification processes. We also investigated geometrical thought of the mathematically gifted students based on van Hieles's Theory. We analyzed intellectual of the justification process in geometric construction by the mathematically gifted students. 18 mathematically gifted students showed their justification processes when they were explaining their mathematical reasoning in construction. Also, students used the GSP program in some lessons and at home and tested students' geometric levels using the van Hieles's theory. However, we used pencil and paper worksheets for the analyses. The findings show that the levels of van Hieles's geometric thinking of the most gifted students were on from 2 to 3. In the process of justification, they used cut and paste strategies and also used concrete numbers and recalled the previous learning experience. Most of them did not show original ideas of justification during their proofs. We need to use a more sophisticative tasks and approaches so that we can lead gifted students to produce a more creative thinking.

• Communications of Mathematical Education
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• v.32 no.2
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• pp.225-244
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• 2018

Problem solving and its mathematical applications have been increasingly emphasized in school mathematics over the past years. Recently it is recommended that mathematical applications and modelling situations be incorporated into the secondary school curriculum. Many researchers on the approach have been conducted in Korea. This study is planning to investigate and establish the meaning of mathematical modelling and model, mathematical modelling process. And also it does the properties of problem situations introduced and dealt with in mathematical modelling activity. To accomplish this, this study is based on the analysis and comparison of those 24 articles. They are ones which have been published from 2007 to 2017 and are included in the five types of publication. Prior to this study, the previous study was conduct in 2007 with the same purpose. Namely, by the subject of 11 articles and 22 master dissertations published domestically from 1991 to 2005, the analytic and explorative study on the mathematical modelling and its understanding had been conducted.

• Archives of design research
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• v.11
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• pp.22-29
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• 1995

I have to find standpoint of sight moulding of Chi I Sung Hwa(seven stars picture) analysis of graphic systems of a symbol sight native to our nation. And I will comprehend emotion of folkways by simple and graphic lines and colors in mathematical Grid of which ancestor had expressed in gauge moulding consciousness. This papers aim is to make a contribution to lead by on part of communication design. About structural analysis of pictorial graphic side. I) Mathematical thought of the Orient and space constitution are first basically the Orient expressed number notion of mathematics of unlimitedness and notion of zero so called space and empty second can analigize a diagonal expansion method by development of symmetry notion to basic the dual principle of the negative and positive by degrees development expressed space division method by direction notion. 2) About the proportion analysis it based the golden section globularity and in modern layout it takes vision center of position, after appointing the brow of sacred image of Chil Sung Hwa as center point of proportion and applied to the point proportion and so analigized the posibility of established. Rule in union of each elements and rule of forms about picture image. 3) Mathematical structure analysis to search a unified principle at the balanced arrangement and rule of forms it analigized the standard the rule of forms. it analigized the standard the rule of forms to body module of basic movement of protagonist and follower above basic forms of grid that is the basis of design system.

• Archives of design research
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• v.15 no.1
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• pp.181-190
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• 2002

Every object's patterns is the balancing-relationship between the object's inner-energy and outer-stress. To see this as a balancing-relationship between an organism, inner-energy would be the occurrence of thermodynamic entropy which is for its existing maintenance. Outer-stress would be the friction that comes from the surrounding environment. Namely, we can see that object's figure exists in the balance between an extort to survive and fiction that disturb it. However, it is fourth that these figures are consisted of a curve and curved-surface which is not a straight line. So, it is impossible to find a figure made up of straight lines and surfaces in the existing object's world. It's true that we have regarded only a curve as the beautiful. Here, we have presented that in a curve, there exists an important function which protect our survival from the ancient humanity. And by closely observing the function in a physical dynamic-pattern sight, we've searched what is important in the design's origin that handle curve-patterns. Of course it would be more reasonable to analyze it in the standpoint of Mathematics, Chemistry, or Biology, and synthesize the points. However, due to the limitation of the researchability, we will concern about the physical structure in the design. Deficient details will be replenished through the study between educational systems. As a result, we have confirmed that, devoting the curve's physical structure-phenomenon (occurred in nature) to the design, is more beautiful in our eyes, too.

• Ecology and Resilient Infrastructure
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• v.2 no.1
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• pp.1-11
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• 2015

The needs for ecological engineering, which can design ecosystems that integrate human society and their natural environment for the benefit of both, has increased. The Korean Society of Ecology and Infrastructure Engineering (KSEIE) was established for this purpose and has contributed to the research and development of theories and technologies in related fields. However, the current state of educational services and contents of ecological engineering is still needed to be standardized and systematized. In this paper, we outlined the trends of ecological engineering education at international and domestic levels and proposed a sample services and curriculum, brought from the discussions and suggestions made during the forum, Founding the Education for Ecological Engineering, held by the KSEIE. Education of ecological engineering can nurture people who can design and manage ecosystems for the benefits of human and natural society and can restore ecosystems disturbed artificially. The services and curriculum have to meet and cover the challenges facing the future of ecological engineering; a. the ethical interpretation of the balance between human and nature, b. developing and strengthening its relationship with other scientific disciplines and societies - business, policy, education, and practitioners, c. identify and fuse the key ecological engineering principles into other discipline. We proposed a three layers curriculum system, basic (mathematics, physics, chemistry, biology, etc.), core (ecology, hydrology, engineering, etc.), and advanced subjects. The first two can belong to an undergraduate program and the last two can be put into graduate program. The selection of subjects is according to the purpose and needs of the major.

• Science of Emotion and Sensibility
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• v.8 no.4
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• pp.333-344
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• 2005

The sensitivity adjectives on wall paper are collected. With the collected sensitivity adjective, we are going to develop the model which can recommend the wallpaper to customer. A large number of adjectives describing affective responses were collected from such diverse sources as questionnaire survey results, field survey results and internet survey result. To search the representative adjective of collected adjective, we used the diverse statistical analysis method. We attempted to decide the axis name of dimension through the MDS(Multi-Dimensional Scale) analysis method using the similarity matrix an4 to find a three or four reduced factors through the factor analysis method using the varimax rotation method. The result of the analysis showed that the reduced factors could account about $82\%$ when the number of factor is three(popular, elegance, and passable) ant about $93\%$ when the number of factor is four (elegance, passable, beautiful, and affectionate) On the basis of this result, we expect it can be used to develop the model recommending the wallpaper.

• The Mathematical Education
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• v.42 no.1
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• pp.19-39
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• 2003

The purpose of this study is to find out effective ways to take care of the 8th and 10th graders' disposition causing math. disliking. To accomplish this goal, we proceeded as follows : First we categorized the 11 factors recognized as the reasons of math. disliking into 4 math. disliking causes such as psychological f: environmental cause, conceptual cause, relational cause and application related cause. Second, to take care of these tow causes, we developed materials which are closely related with the contents of the 8th and 10th graders' school mathematics. Third with these materials we taught the students who had proved to have the math. disliking trend, for one semester. As a consequence of this experiment we arrived at the following results. As for psychological & environmental causes, 35.7% of the 8th graders and 17% of the 10th graders proved to have been improved significantly. This result shows that the curing of the psychological & environmental causes is more effective in the 8th graders than in the 10th graders. i.e., the curing effects of the students' psychological & environmental cause for disliking math. decline as they get older. As for conceptual causes, 35% of the 5th graders and 30% of the 10th graders proved to have been improved significantly. In case of the 8th graders this ratio was similar to that of the other causes. But as for the 10th graders this ratio was a little low compared with that of the case of relation causes and application related causes. As for relational causes, 35% of the 5th graders and 49% of the 10th graders proved to have been improved significantly. Especially the 10th graders improved greatly. Among the four factors that compose this cause, especially hierarchy and connection factors were effectively cured. On application related causes, 47% of the 5th graders and 57% of the 10th graders proved to have been cured significantly. And among the four types of causes listed above, this was the most successfully cured one. Of the two factors of this cause, the basic application factor appeared to have been improved in all experimental groups. In connection with teaching methods, we found out the followings two facts. First, the more teachers push students to solve their tasks with their own efforts, the higher is the ratio of owe. Second, the more teachers teach students personally, the more effective are the teaching results.

• Education of Primary School Mathematics
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• v.12 no.2
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• pp.63-80
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• 2009

In this study, we analyzed teachers' recognitions of the necessity of mathematical descriptive tests and their practices in the elementary schools. We then suggested several examples of improved formats of the mathematical descriptive evaluation. For analyzing teachers' recognitions and practices of mathematical descriptive assessment, we surveyed 104 elementary school teachers in Seoul. We collected the test items from the schools and analyzed them to find how they are practiced in the schools. The results were as follows. First, most elementary school teachers are basically recognizing the direction and the purpose of mathematical descriptive assessment. Second, the ratio of the descriptive test items was very low compared with the teachers' recognition of necessity of including descriptive items in the tests. Third, the teachers usually made the descriptive items with their colleagues using textbooks, test manuals for teachers, and the references that the office of education provided. Fourth, to enhance teachers' understanding of descriptive assessment, systematic training programs for teachers about the descriptive assessment should be continued. Finally, the office of education and research institutes should provide various types of test items and more teacher training programs on descriptive assessments.