• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.651-662
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• 1998

Mathematics is means for making sense of one's experiential world and products of human activities. A usefulness of mathematics is derived from this features of mathematics. Keeping the meaning of situations during the mathematizing of situations. However, theories about the development of mathematical concepts have turned mainly to an understanding of invariants. The purpose of this study is to show the possibility of computer in representing situation and phenomena. First, we consider situated cognition theory for looking for the relation between various representation and situation in problem. The mathematical concepts or model involves situations, invariants, representations. Thus, we should involve the meaning of situations and translations among various representations in the process of mathematization. Second, we show how the process of computational mathematization can serve as window on relating situations and representations, among various representations. When using computer software such as ALGEBRA ANIMATION in mathematics classrooms, we identified two benifits First, computer software can reduce the cognitive burden for understanding the translation among various mathematical representations. Further, computer softwares is able to connect mathematical representations and concepts to directly situations or phenomena. We propose the case study for the effect of computer software on practical mathematics classrooms.

• Journal of the Korean Operations Research and Management Science Society
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• v.10 no.2
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• pp.45-53
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• 1985

In the present paper, the capacitated solid transportation problem (planar constraints) is considered with upper and lower bounds on the rim conditions. The considered model has been shown to be equipvalent to a standard capacitated 3-index transportation problem. A procedure to solve any capacitated 3-index transportion problem is also suggested. Some special cases of the considered model have been shown to conform to possible practical situations.

• Journal of The Korean Association For Science Education
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• v.29 no.2
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• pp.193-202
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• 2009

The purpose of this study was to investigate undergraduates' characteristics of problem-solving process through analysis of the response patterns on problem-solving laboratory. For this purpose, 18 freshmen taking a problem-solving-type general chemistry laboratory had been interviewed for the analysis of the characteristics of problem-solving process. According to the results, the students' responses have been classified into five types; trying to solve problems using new factors, trying to solve problems by finding missing factors in manual, recognizing problem-situations but just repeating the given process, not recognizing problem-situations but trying to solve doubts generated during execution, satisfying about results, and taking no further action. These results can be used as materials to suggest the role model of the students' laboratory execution and to look back on each students' execution.

• Journal of Science Education
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• v.33 no.2
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• pp.353-364
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• 2009

The purpose of this study was to develop 'the problem situations' for the Problem Based Learning(PBL) and to examine it's effects on the science achievement and the attitude towards science learning. Also the students' perception on the PBL model was examined. The topics of the problem situations developed were 'the future energy for reducing the green house effect' and 'the Indonesian forest fire and the El Nino'. The coaching strategies for the PBL were designed and implemented to 10th grade high school students in the science classes, the results are follows; First, the science achievement of the group of PBL is significantly higher than those of group of traditional teaching. Second, the scores of the test of attitude toward science learning of the group of PBL is significantly higher than those of group of traditional teaching. Third, the students' perception of the PBL was positive. Many students have interests and motivations in PBL, some students have difficulties in learning on the PBL. In the students' personal reflection notes the step of a problem statement is the hardest one of the PBL model. Therefore, this study suggests that developing the problem situations based on real context is of great importance for implementing a problem based learning model continuously.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.21 no.4
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• pp.33-38
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• 2020

Problem development is important to Problem-Based Learning (PBL) and is key to the creativity and problem-solving skills of successful learners. The purpose of this study is to have PBL classes that effectively materialize problem development stages, and to develop learning using problems suitable for elementary school English Science classes. In this study, the steps for developing the problems are identifying educational content, identifying learners' characteristics, discovering problems, setting up roles and situations, and writing problems. Based on these steps, five PBL problems were developed by selecting a subject suitable for the PBL method of an English Science class, which is one of the English curriculums in elementary schools. Creative thinking, problem-solving skills, presentation skills, confidence, self-directed learning, cooperation, and communication skills are required in the rapidly changing society of the 21st century, rather than teacher-centered instruction, acquiring knowledge for correct answers only, and uniform assessments, which still take place in many English education settings. Therefore, developing problems suitable for PBL learning should be continuously studied.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.273-295
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• 2006

It is the purpose of this study to help computational estimation study to settle down in effective teaching method through analysis how students are understanding computational estimation and what occurs using computational estimation in actual life problem situations. I set 3 cases to accomplish these purposes. (1) How students are understanding computational estimation? (2) How students' computational estimation ability is in applying actual life problem situation? (3) What is students' different attitudes in an actual life problem situation before studying computational estimation and after? To accomplish tile purpose, I chose 6 third grade students and taught 'Computational estimation using actual life problem situation' and analyzed students computational estimation processing. Then I arranged the computational estimation processing in an actual life problem situation and differences between the before and tile after. As a result, I obtained the followings. (1) Need of estimation: Every students could recognize the need of estimation with experiencing an actual life problem situation. (2) Choosing the order of decimals: Students could choose appropriate order of decimals according to an actual life problem situations. (3) Using strategy: They usually use rounding strategy and quite often use special number and compatible number strategy.

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.107-134
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• 2012

The purpose of this study is to investigate the effectiveness of two teaching methods of word problems, one based on mathematical modeling learning(ML) and the other on traditional learning(TL). Additionally, the influence of mathematical modeling learning in word problem solving behavior, application ability of real world experiences in word problem solving and the beliefs of word problem solving will be examined. The results of this study were as follows: First, as to word problem solving behavior, there was a significant difference between the two groups. This mean that the ML was effective for word problem solving behavior. Second, all of the students in the ML group and the TL group had a strong tendency to exclude real world knowledge and sense-making when solving word problems during the pre-test. but A significant difference appeared between the two groups during post-test. classroom culture improvement efforts. Third, mathematical modeling learning(ML) was effective for improvement of traditional beliefs about word problems. Fourth, mathematical modeling learning(ML) exerted more influence on mathematically strong and average students and a positive effect to mathematically weak students. High and average-level students tended to benefit from mathematical modeling learning(ML) more than their low-level peers. This difference was caused by less involvement from low-level students in group assignments and whole-class discussions. While using the mathematical modeling learning method, elementary students were able to build various models about problem situations, justify, and elaborate models by discussions and comparisons from each other. This proves that elementary students could participate in mathematical modeling activities via word problems, it results form the use of more authentic tasks, small group activities and whole-class discussions, exclusion of teacher's direct intervention, and classroom culture improvement efforts. The conclusions drawn from the results obtained in this study are as follows: First, mathematical modeling learning(ML) can become an effective method, guiding word problem solving behavior from the direct translation approach(DTA) based on numbers and key words without understanding about problem situations to the meaningful based approach(MBA) building rich models for problem situations. Second, mathematical modeling learning(ML) will contribute attitudes considering real world situations in solving word problems. Mathematical modeling activities for word problems can help elementary students to understand relations between word problems and the real world. It will be also help them to develop the ability to look at the real world mathematically. Third, mathematical modeling learning(ML) will contribute to the development of positive beliefs for mathematics and word problem solving. Word problem teaching focused on just mathematical operations can't develop proper beliefs for mathematics and word problem solving. Mathematical modeling learning(ML) for word problems provide elementary students the opportunity to understand the real world mathematically, and it increases students' modeling abilities. Futhermore, it is a very useful method of reforming the current problems of word problem teaching and learning. Therefore, word problems in school mathematics should be replaced by more authentic ones and modeling activities should be introduced early in elementary school eduction, which would help change the perceptions about word problem teaching.

• Journal of Korean Society of Transportation
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• v.5 no.1
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• pp.47-58
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• 1987

A commodity distribution problem with intertemporal storage facilities and dynamic transportation networks is proposed. mathematical integer programming methods and multiobjective programming techniques are used in the model formulation. Dynamic characteristics of commodity distribution problems are taken into account in the model formulation. storage facility location problems and transportation link addition problems are incorporated into the intertemporal multicommodity distribution problem. The model is capable of generating the most efficient and rational commodity distribution system. Therefore it can be utilized to provided the most effective investment plan for the transportation infrastructure development as well as to evaluate the existing commodity distribution system. The model determines simultaneously the most efficient locations, sizes, and activity levels of storage facilities as well as new highway links. It is extended to multiobjective planning situations for the purpose of generating alternative investment plans in accordance to planning situations. sine the investment in transportation network improvement yields w\several external benefits for a regional economy, the induced benefit maximization objective is incorporated into the cost minimization objective. The multiobjective model generates explicitly the trade-off between cost savings and induced benefits of the investment in transportation network improvement.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.27 no.3
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• pp.7-13
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• 2004

In this paper, machine cell formation problem is discussed. To reflect precisely actual manufacturing situations such as routing sequences, production quantities, and machining (or operation) characteristics, a new network presentation (or the problem is proposed. It is formulated as a simple 0-1 quadratic programming model with linear constraints. Then, the model is converted into a 0-1 integer programming model using a variable transformation technique. Lastly, some computational results are presented.

• Research in Mathematical Education
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• v.11 no.1
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• pp.1-31
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• 2007

Recent research has documented that there is a close relationship between problem posing and problem solving in arithmetic. However, most studies investigated the relationship between problem posing and problem solving only by means of standard problem situations. In order to overcome that shortcoming, a pilot study with Chinese fourth-graders was done to investigate this relationship using a non-standard, realistic problem situation. The results revealed a significant positive relationship between students' problem posing and solving abilities. Based on that pilot study, a more extensive and systematic ascertaining study was carried out to confirm the observed relationship between problem posing and problem solving among Chinese elementary school children. Results confirmed that there was indeed a close relationship between both skills.