• School Mathematics
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• v.9 no.3
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• pp.409-426
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• 2007

The relevance of secondary school algebra focused on paper and pencil manipulation has been reconsidered along with the expansion of universal education and the development of ICT such as computer or calculators. This study was designed to investigate the issues and trends of the recent algebra so as to provide implementations for algebra curriculum in Korea. The focus of algebra education has being shifted from paper pencil manipulation to algebraic thinking. The early algebra or informal algebra is one of the important traits of revolution, and the role of ICT is integrated in newly developed curricula. In Korea, algebra education has been retaining the traditional line even though the national curriculum documents allows ICT for instruction. The reasons of these discrepancies were analyzed and the tasks for the new curriculum in accordance with the current trends were suggested in this paper.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.2
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• pp.115-142
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• 2018

This research analyzed domestic researches on early algebra education which are published in six major mathematics education journals in Korea. The purpose of this work is to grasp trends of early algebra education in Korea and to draw up future tasks. From 2000 to 2017, 89 papers which are related to early algebra education published in 6 journals. The 89 papers were categorized by research period, academic journals, research topics, and research subjects. As a result, the number of researches on early algebra education in Korea has increased since 2000. Although early algebra education belongs to the field of elementary mathematics education, lots of papers were published in other math education journals than in the math education journals for elementary school mathematics. Most research focused on proportional reasoning across the algebraic content area. The majority of the research subjects were students, especially upper-grade students of elementary school. Based on the results of this study, some implications for early algebra education in Korea were suggested.

• 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.

• School Mathematics
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• v.18 no.4
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• pp.819-838
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• 2016

This research analyzed proportional reasoning abilities of the 5th grade students who learned only the basis of ratio and rate and 6th grade students who also learned proportion and cross product strategy. Data were collected through the proportional reasoning tests and the interviews, and then the achievement of the students and their proportional reasoning strategies were analyzed. In the light of such analytical results, the conclusions are as follows. Firstly, there is not much difference between 5th and 6th grade students in the achievement scores. Secondly, both 5th and 6th graders are less familiar with the geometric, qualitative and comparisons tasks than the other tasks. Thirdly, not only 5th graders but also 6th graders used informal strategies much more than the formal strategy. Fourthly, some students can't come up with other strategies than the cross product strategy. Finally, many students have difficulties in discerning proportional situation and non-proportional situations. This study provided suggestions for improving teaching proportional reasoning in elementary schools in Korea as follows: focusing on letting students use their informal strategies fluently in geometric, qualitative, and comparisons tasks as well as algebraic, quantitative, and missing value tasks focusing on the concept of ratio and proportion instead of enforcing the formal strategy.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.4
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• pp.457-484
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• 2015

This study aims to investigate an approach to teach proportional reasoning in elementary mathematics class by analyzing the proportional strategies the students use to solve the proportional reasoning tasks and their percentages of correct answers. For this research 174 sixth graders are examined. The instrument test consists of various questions types in reference to the previous study; the proportional reasoning tasks are divided into algebraic-geometric, quantitative-qualitative and missing value-comparisons tasks. Comparing the percentages of correct answers according to the task types, the algebraic tasks are higher than the geometric tasks, quantitative tasks are higher than the qualitative tasks, and missing value tasks are higher than the comparisons tasks. As to the strategies that students employed, the percentage of using the informal strategy such as factor strategy and unit rate strategy is relatively higher than that of using the formal strategy, even after learning the cross product strategy. As an insightful approach for teaching proportional reasoning, based on the study results, it is suggested to teach the informal strategy explicitly instead of the informal strategy, reinforce the qualitative reasoning while combining the qualitative with the quantitative reasoning, and balance the various task types in the mathematics classroom.

• Journal of Educational Research in Mathematics
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• v.17 no.2
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• pp.163-177
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• 2007

Studies on mathematically gifted students have been conducted following Krutetskii. There still exists a necessity for a more detailed research on how these students' mathematical competence is actually displayed during the problem solving process. In this study, it was attempted to analyse the algebraic thinking process in the problem solving a peg puzzle in which 4 mathematically gifted students, who belong to the upper 0.01% group in their grade of elementary school in Korea. They solved and generalized the straight line peg puzzle. Mathematically gifted elementary school students had the tendency to find a general structure using generic examples rather than find inductive rules. They did not have difficulty in expressing their thoughts in letter expressions and in expressing their answers in written language; and though they could estimate general patterns while performing generalization of two factors, it was revealed that not all of them can solve the general formula of two factors. In addition, in the process of discovering a general pattern, it was confirmed that they prefer using diagrams to manipulating concrete objects or using tables. But as to whether or not they verify their generalization results using generalized concrete cases, individual difference was found. From this fact it was confirmed that repeated experiments, on the relationship between a child's generalization ability and his/her behavioral pattern that verifies his/her generalization result through application to a concrete case, are necessary.

• Journal of the KSME
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• v.32 no.10
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• pp.837-846
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• 1992

고령화 혹은 국제화와 같은 변화 양상은 다가오는 21세기의 새 시대를 가치기준에서 뿐만 아니라 사회환경까지도 새로운 것을 추구하도록 요구해 가고 있다. 이것은 도로교통에 있어서도 마찬 가지로 지금까지 양적인 팽창 위주로 전개되던 것이 효율을 중시하지 않으면 안 되게 되었으며 특히 20세기 후반들어 반도체 기술과 함께 급격한 발전을 거듭하고 있는 컴퓨터 기술은 정보 통신 기술과 함께 도로교통의 새로운 장을 열어 갈 것으로 예측된다. 21세기의 도로 교통을 생 각할 때, 차량 보급 대수의 증가와 함께 지금도 교통사고가 커다란 사회 문제로 대두되고 있는 추세로 볼 때, 중심이 되는 단어는 역시 '안전'과 '환경'이겠지만 그 가운데에도 교통 사고의 저 감은 무엇보다 시급한 과제라 할 수 있으며 대기 오염을 비롯한 물리적 환경의 개선과 보다 원 활하고 쾌적하게 달릴 수 있는 교통 환경의 실현도 중요한 과제가 될 것이다. 이 글에서는 이 러한 관점에서 21세기의 도로교통과 이를 이루어가기 위한 기술적 과제들을 살펴보고자 한다.

• Resources Recycling
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• v.20 no.2
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• pp.16-29
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• 2011

The Korea auto industry has developed remarkedly over the past 40 years and ranked up to 5th vehicles production nation in the world. In 2009 alone, Korea produced 3.5million vehicles and number of vehicles registered surpassed the seventeen million. On the other hand, 711 thousand ELV(End of Life Vehicles) were scrapped and used cars more than 265 thousand were exported. In the year 2009, 568 thousand tons of iron, 46 thousand tons of aluminum and 7 thousand tons of copper were recovered from ELV in Korea. Recycling ratio of ELV is approaching 95% by using ASR(Automobile Shredding Residue) as a fuel at cement kiln. Korea has enacted the automobile recycling law in 2007 and enforced it from January 2009, actually. However, the law has not been managed smoothly due to delays in the construction of infrastructure and the existence of a hostile monitoring system. In this regard, a revision and supplement program focused on recycling fee on the automobile recycling law is running under the ministry of environment now. Here, a recycling model for enhancing ELV recycling is suggested.

• School Mathematics
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• v.10 no.1
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• pp.23-42
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• 2008

The purpose of this study was to describe characteristics of thinking in elementary gifted students' solutions to algebraic tasks. Especially, this paper was focused on the students' strategies to develop generalization while problem solving, the justifications on the generalization and metacognitive thinking emerged in stildents' problem solving process. To find these issues, a case study was conducted. The subjects of this study were four 6th graders in elementary school-they were all receiving education for the gifted in an academy for the gifted attached to a university. Major findings of this study are as follows: First, during the process of the task solving, the students varied in their use of generalization strategies and utilized more than one generalization strategy, and the students also moved from one strategy toward other strategies, trying to reach generalization. In addition, there are some differences of appling the same type of strategy between students. In a case of reaching a generalization, students were asked to justify their generalization. Students' justification types were different in level. However, there were some potential abilities that lead to higher level although students' justification level was in empirical step. Second, the students utilized their various knowledges to solve the challengeable and difficult tasks. Some knowledges helped students, on the contrary some knowledges made students struggled. Specially, metacognitive knowledges of task were noticeably. Metacognitive skills; 'monitoring', 'evaluating', 'control' were emerged at any time. These metacognitive skills played a key role in their task solving process, led to students justify their generalization, made students keep their task solving process by changing and adjusting their strategies.

• Journal of the Korean Society of Groundwater Environment
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• v.6 no.3
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• pp.152-157
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• 1999

Oil leaked from underwound storage tanks and leachate from sanitary landfills have been known as contaminant sources of the high-quality groundwater resources. The mobility of contaminants in the aquifer largely depends on the groundwater flow and the determination of associated hydraulic parameters is essential for a proper remediation of contaminated grnundwater. This study aimed at determining an optimum set of hydraulic parameters for an unconfined sandy aquifer of a laboratory scale through comparison of various methods. Results showed that the specific yield obtained from gravity drainage experiment was an average of 0.20 with minor variations in aquifer depths. and the permeabilities obtained from Dupuit approximation and slug test gave similar values of 5.33 cm/min and 5.85 cm/min but the constant head method gave 0.17 cm/min, which is much ion than the other methods. This experimental evidence reveals that the permeability of the unconfined sandy aquifer could be accurately determined by Dupuit assumption or slug tut rather than by constant head method conducted for a disturbed separate soil column.