• School Mathematics
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• v.5 no.3
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• pp.361-384
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• 2003

The purpose of this study was to investigate students' problem solving process based on the model of IDEAL if they learn to solve word problems of simultaneous linear equations through structure-representation instruction. The problem solving model of IDEAL is followed by stages; identifying problems(I), defining problems(D), exploring alternative approaches(E), acting on a plan(A). 160 second-grade students of middle schools participated in a study was classified into those of (a) a control group receiving no explicit instruction of structure-representation in word problem solving, and (b) a group receiving structure-representation instruction followed by IDEAL. As a result of this study, a structure-representation instruction improved word-problem solving performance and the students taught by the structure-representation approach discriminate more sharply equivalent problem, isomorphic problem and similar problem than the students of a control group. Also, students of the group instructed by structure-representation approach have less errors in understanding contexts and using data, in transferring mathematical symbol from internal learning relation of word problem and in setting up an equation than the students of a control group. Especially, this study shows that the model of direct transformation and the model of structure-schema in students' problem solving process of I and D stages.

• Journal of Family Resource Management and Policy Review
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• v.6 no.2
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• pp.157-172
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• 2002

The purpose of this study is to investigate the family resource management problems caused by the Internet use. The family resource management problems are composed of time management problem, money management problem and interpersonal resource management problem. And time management problem is perceived as most serious of the three. The perception of family resource management problem is influenced by socio-demographics variables and Internet related variables. Based on the findings, we suggest several implications for education and public policy.

• Hwankyungkyoyuk
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• v.20 no.3
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• pp.113-124
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• 2007

The purpose of this study is to investigate the direction of how to educate water shortage problem to middle school students. In the reality that many people of the world have been painful of the water shortage problem, Korea is classified as 'water shortage country'. Here, we investigated the awareness of middle school students about the contents related to the water shortage problem by surveying with the questionnaires developed in this study. And we analyzed how water shortage problem appeared in the environmental textbook of middle school. Based on these, we examined the direction of environmental education in middle school on the theme of the water shortage problem. The results of the survey showed that students revealed difference of knowledge and experience, and also revealed difference of knowledge and feeling related to the water shortage problem. The students had the knowledge about water shortage problem but they did not have experience in their real lives. Also, the results of the survey showed that students had attitude of waste in water use, even though they had awareness and knowledge about the importance of water resources. And the students did not have enough knowledge related to the water shortage problem. From the analysis of the textbooks, We found that the contents were not composed to enhance deep understanding of the students about the water shortage problem. Based on the analysis of the results, the directions of middle school environmental education in Korea about water shortage problem were extracted in this research.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.331-352
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• 2012

The purpose of the study is to verify what cognitive variables have significant effect on proportional problem solving. For this aim, the study classified proportional problem into well-structured, moderately-structured, ill-structured problem by the level of structuredness, then classified the cognitive variables as well into factual algorithm knowledge, conceptual knowledge, knowledge of problem type, quantity change recognition and meta-cognition(meta-regulation and meta-knowledge). Then, it verified what cognitive variables have significant effects on 6th graders' proportional problem solving abilities through multiple regression analysis technique. As a result of the analysis, different cognitive variables effect on solving proportional problem classified by the level of structuredness. Through the results, the study suggest how to teach and assess proportional reasoning and problem solving in elementary mathematics class.

• Journal of applied mathematics & informatics
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• v.9 no.2
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• pp.695-703
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• 2002

The fractional order evolutionary integral equations have been considered by first author in [6], the existence, uniqueness and some other properties of the solution have been proved. Here we study the continuation of the solution and its fractional order derivative. Also we study the generality of this problem and prove that the fractional order diffusion problem, the fractional order wave problem and the initial value problem of the equation of evolution are special cases of it. The abstract diffusion-wave problem will be given also as an application.

• Journal of the Korean School Mathematics Society
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• v.5 no.2
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• pp.23-31
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• 2002

The purpose of this study is to analyze thinking process in problem solving and to get some teaching materials to improve students' problem solving abilities. For this study, 14 girl and boy students in highschool were tested with 7 testing questions. The whole process of students' problem solving was observed by using 'Thinking aloud', recorded by Audio Tape and finally drawn up to Protocol. On the basis of that Protocol, coding system was set up and characteristics of thinking process in each stage were analyzed. -In the stage of planning, successful problem solvers tried to check the properties of words included in problems(Pr) and made it clear that they were seeking(O) -In the stage of planning, students used abstraction strategy(Ab, making equation(E) or using variable(V)) appropriately could solve more difficult problems. Successful problem solvers turned used unsystematical trial into systematical method and were good at using partial objects, assistant factors. - In the stage of carring out the plan, successful problem solvers to reduce the error, check the purpose, used formula, knowledge and calculation. -In the looking back stage, successful problem solvers generalized the answer and checked the total process.

• Research in Mathematical Education
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• v.5 no.1
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• pp.59-75
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• 2001

This paper reports an investigation of problem solving activities of students at university level students. The study focused on the cognitive-metacognitive and affective activities appeared in problem solving process. The cognitive-metacognitive framework was used to analyzed and categorize the written response and free response of interviews probing the students\\` cognitive-metacognitive activities. Affective factors were assessed by administering the problem solving survey (Carlson, The emergence of students\\` problem solving behavior, 1999). This study provide an insight for the design of problem solving instruction by identifying cognitive, metacognitive and affective characteristics of the students\\` problem solving behaviors. The results report that the metacognitive factor were significantly related to problem solving performance interacting with both cognitive and affective factors.

• International Journal of Advanced Culture Technology
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• v.9 no.1
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• pp.168-176
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• 2021

This study developed and evaluated a learning model to improve collaborative problem-solving skills for nursing students taking physiology courses. This one-group pretest-posttest design used the jigsaw cooperative learning method on 30 nursing students from one local university. We analyzed the effect of a cooperative problem- solving learning model using SPSS 21.0 to compare changes in the students' collaborative self-efficacy, problem-solving abilities, and team-member exchange. As a result, the participants showed significant increases in collaborative self-efficacy, problem-solving ability, and team-member exchange after experiencing cooperative problem- solving learning model. Therefore, we will help nursing students improve their communication skills by enhancing their collaborative self-efficacy and help them solve problems effectively in conflict situations.

• Kyungpook Mathematical Journal
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• v.62 no.4
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• pp.673-687
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• 2022

In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

• Human Ecology Research
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• v.54 no.4
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• pp.351-363
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• 2016

This study examined in depth what teachers experience in a practical problem-based home economics class. This study established the research question, "What do teachers experience in the practical problem-based home economics class?" and selected three teacher participants who had steadily performed a practical problem-based home economics class to directly observe classes and conducted intensive interviews with the class performing teachers. The three research participants performed the practical problem-based class as a method of practicing their educational beliefs and based on a problem consciousness that textbook centered classes focusing on concepts cannot manage. They also tried to make efforts to reconstruct the textbook centered with practical problems to promote the critical thinking abilities of students. In practicing the practical problem-based class, the research participants recognized that it was important to show the present problems in reality to the students, teach broad value concepts, and establish rapport with students. They tried to make class content correspond to class evaluation. They felt awarded in how they influenced the development of students and the perception of home economics subjects in a positive way as well as experienced various actual difficulties in performing the practical problem-based class. The three research participants examined themselves through the agony and reflection of the class, and integrated the class with daily activities by applying problem solving methods of practical problem-based classes to their lives.