• Title/Summary/Keyword: deductive problem making

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A Concretization and Application of Deductive Problem Making Method (연역적 문제만들기 방법의 구체화와 활용)

  • Han, Inki;Huh, Eunsook;Seo, Eunhee
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.653-674
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    • 2023
  • The development of mathematical problem solving ability and the making(transforming) mathematical problems are consistently emphasized in the mathematics curriculum. However, research on the problem making methods or the analysis of the characteristics of problem making methods itself is not yet active in mathematics education in Korea. In this study, we concretize the method of deductive problem making(DPM) in a different direction from the what-if-not method proposed by Brown & Walter, and present the characteristics and phases of this method. Since in DPM the components of the problem solving process of the initial problem are changed and problems are made by going backwards from the phases of problem solving procedure, so the problem solving process precedes the formulating problem. The DPM is related to the verifying and expanding the results of problem solving in the reflection phase of problem solving. And when a teacher wants to transform or expand an initial problem for practice problems or tests, etc., DPM can be used.

Cognitive Competency, Problem-Solving Skills and Decision-Making: A Case Study of Students' Extracurricular Activities in The Distribution Chains Sector

  • Thuc Duc TRAN;Thai Dinh TRUONG;Thong Van PHAM;Dien Huong PHAM
    • Journal of Distribution Science
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    • v.22 no.2
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    • pp.71-82
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    • 2024
  • Purpose: Despite significant research on decision-making, researchers struggle to comprehend the decision-making process. This paper aims to not only examine the relationship between problem-solving skills, cognitive competency, and decision-making but also develop measurement instruments for cognitive competency and problem-solving skills to better model decision-making. Research Design, Methodology and Approach: A cross-sectional study was conducted by surveying 292 university students in HCM City, Vietnam, via email sent randomly by Google Forms. This study identifies the conceptual framework and tests the hypotheses using a deductive approach. The SPSS program was used to evaluate the scales' reliability, and the SmartPLS program was used to assess the measurement and structural models. Results: The results show that the research model better modelled the relationship between problem-solving skills, cognitive competency, and decision-making. Although thinking ability has no direct impact on decision-making, both creativity and problem-solving skills have a positive impact on decision-making. The mediating role of problem-solving skills is also determined by the positive relationship between cognitive competency and decision-making. Conclusions: This study highlights decision-making efficiency through the cognitive process from low to high levels and provides for policymakers and managers to explain the decision-making process in a variety of sectors, such as distribution chains, marketing, and human resource distribution.

Development of Instructional Models for Problem Solving in Quadratic Functions and Ellipses (이차함수와 타원의 문제해결 지도를 위한 멀티미디어 학습자료 개발)

  • 김인수;고상숙;박승재;김영진
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.59-71
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    • 1998
  • Recently, most classrooms in Korea are fully equipped with multimedia environments such as a powerful pentium pc, a 43″large sized TV, and so on through the third renovation of classroom environments. However, there is not much software teachers can use directly in their teaching. Even with existing software such as GSP, and Mathematica, it turns out that it doesn####t fit well in a large number of students in classrooms and with all written in English. The study is to analyze the characteristics of problem-solving process and to develop a computer program which integrates the instruction of problem solving into a regular math program in areas of quadratic functions and ellipses. Problem Solving in this study included two sessions: 1) Learning of basic facts, concepts, and principles; 2) problem solving with problem contexts. In the former, the program was constructed based on the definitions of concepts so that students can explore, conjecture, and discover such mathematical ideas as basic facts, concepts, and principles. In the latter, the Polya#s 4 phases of problem-solving process contributed to designing of the program. In understanding of a problem, the program enhanced students#### understanding with multiple, dynamic representations of the problem using visualization. The strategies used in making a plan were collecting data, using pictures, inductive, and deductive reasoning, and creative reasoning to develop abstract thinking. In carrying out the plan, students can solve the problem according to their strategies they planned in the previous phase. In looking back, the program is very useful to provide students an opportunity to reflect problem-solving process, generalize their solution and create a new in-depth problem. This program was well matched with the dynamic and oscillation Polya#s problem-solving process. Moreover, students can facilitate their motivation to solve a problem with dynamic, multiple representations of the problem and become a powerful problem solve with confidence within an interactive computer environment. As a follow-up study, it is recommended to research the effect of the program in classrooms.

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An Analysis of the Scientific Problem Solving Strategies according to Knowledge Levels of the Gifted Students (영재학생들의 지식수준에 따른 과학적 문제해결 전략 분석)

  • Kim, Chunwoong;Chung, Jungin
    • Journal of Korean Elementary Science Education
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    • v.38 no.1
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    • pp.73-86
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    • 2019
  • The purpose of this study is to investigate the characteristics of problem solving strategies that gifted students use in science inquiry problem. The subjects of the study are the notes and presentation materials that the 15 team of elementary and junior high school students have solved the problem. They are a team consisting of 27 elementary gifted and 29 middle gifted children who voluntarily selected topics related to dimple among the various inquiry themes. The analysis data are the observations of the subjects' inquiry process, the notes recorded in the inquiry process, and the results of the presentations. In this process, the knowledge related to dimple is classified into the declarative knowledge level and the process knowledge level, and the strategies used by the gifted students are divided into general strategy and supplementary strategy. The results of this study are as follows. First, as a result of categorizing gifted students into knowledge level, six types of AA, AB, BA, BB, BC, and CB were found among the 9 types of knowledge level. Therefore, gifted students did not have a high declarative knowledge level (AC type) or very low level of procedural knowledge level (CA type). Second, the general strategy that gifted students used to solve the dimple problem was using deductive reasoning, inductive reasoning, finding the rule, solving the problem in reverse, building similar problems, and guessing & reviewing strategies. The supplementary strategies used to solve the dimple problem was finding clues, recording important information, using tables and graphs, making tools, using pictures, and thinking experiment strategies. Third, the higher the knowledge level of gifted students, the more common type of strategies they use. In the case of supplementary strategy, it was not related to each type according to knowledge level. Knowledge-based learning related to problem situations can be helpful in understanding, interpreting, and representing problems. In a new problem situation, more problem solving strategies can be used to solve problems in various ways.

Critical Thinking of Clinical Nurses (임상간호사의 비판적 사고)

  • Chang, Sung-Ok;Shin, Nah-Mee;Khim, Soon-Yong
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.16 no.4
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    • pp.459-471
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    • 2009
  • Introduction: Critical thinking involves identifying problem(s), assessing resources, and generating possible solutions and allows clinical nurses to decide which solution is the most reasonable under the given circumstances, taking into consideration the "hat ifs" and how they will affect the end result. This research was conducted to further understanding and identification of subjective factors in critical thinking in clinical nurses. Methods: The research design was a Q-Methodological Approach. Q-population was formulated from a non-structured questionnaire and interviews from 17 experienced clinical nurses. Thirty selected Q-statements were sorted by 30 experienced clinical nurses. Results: Four factors for critical thinking were identified: (1) Deductive reasoning based on causal relation, (2) Construction of an effective model based on patients' responses, (3) Formulating categories based on priorities for effective interventions, and (4) Judging validity of the situational significance on clinical performances. Conclusion: Critical thinking is an attitude and reasoning process. From this study, the frame of reference for clinical nurses in formulating critical thinking within the context of clinical settings is identified and indicates the way nurses utilize thinking skills when they care for patients and areas that need further exploration as nurses and faculty develop education systems to advance clinical performance competency.

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A Qualitative Understanding of 'Work and Energy' Unit Lessons in a Middle School: an Investigation from a Constructivist Perspective (중학교 '일과 에너지' 단원 수업의 정성적 이해 - 구성주의적 관점에서의 고찰 -)

  • Yoon, Hye-Gyoung;Pak, Sung-Jae
    • Journal of The Korean Association For Science Education
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    • v.16 no.2
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    • pp.154-163
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    • 1996
  • In Korea, previous survey in science education mainly dealt with Quantitative variables. Qualitative ethnographic observation can bring deeper understanding of the context of school lesson and it's feature. The purpose of this study was to develop qualitative understanding about the learning experiences provided in middle school and students' responses to them through observation and interview and to investigate it from a constructivist perspective. Six lessons of the 9th grade were observed and recorded on the video tape. The topics of the lessons were potential energy, kinetic energy and conservation of mechanical energy. We had also unstructured interview with the teacher and three groups of students. The teacher's deductive explanation starting from scientific definition and quantitative problem solving using formula were the main features of the classroom lectures. The video - watching lesson was taking the role of a break rather than being seen as a useful tool for science learning and teaching by both students and the teacher. The teacher's perception about the lab experiment was not supported by the responses from the students. The teacher and students preferred problem-book to textbook for their teaching and learning. From a constructivist's perspective, however the teacher seemed to have intention of introducing daily life context, he couldn't unfold it to main context of the lessons. Students were so accustomed to passive learning that they did not express directly their complaint about their learning and did not participate in planing and controling their learning. The teacher and the students believed the scientific knowledge came from an exact experiment. There was a cooperation to seek right answer rather than a social process of making sense of knowledge. In conclusion, the observed science lessons of a middle school showed typical cross section of teacher - centered, passive learning environment, which is far from constructivist perspective.

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Using DGE for Recognizing the Generality of Geometrical Theorems (기하 정리의 일반성 인식을 위한 동적기하환경의 활용)

  • Chang, Hyewon;Kang, Jeong-Gi
    • Journal of Educational Research in Mathematics
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    • v.23 no.4
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    • pp.585-604
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    • 2013
  • This study is based on the problem that most middle school students cannot recognize the generality of geometrical theorems even after having proved them. By considering this problem from the point of view of empirical verification, the particularity of geometrical representations, and the role of geometrical variables, we suggest that some experiences in dynamic geometry environment (DGE) can help students to recognize the generality of geometrical theorems. That is, this study aims to observe students' cognitive changes related to their recognition of the generality and to provide some educational implications by making students experience some geometrical explorations in DGE. To do so, we selected three middle school students who couldn't recognize the generality of geometrical theorems although they completed their own proofs for the theorems. We provided them exploratory activities in DGE, and observed and analyzed their cognitive changes. Based on this analysis, we discussed the effects of DGE on studensts' recognition of the generality of geometrical theorems.

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Refusal of care by chronically and terminally ill patients : An ethical problem faced by nurses (간호사의 간호 제공 의무와 말기 환자의 간호 거부에 관련된 윤리 문제에 관한 연구)

  • 엄영란;홍여신
    • Journal of Korean Academy of Nursing
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    • v.24 no.2
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    • pp.190-205
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    • 1994
  • Respect for human life and respect for human dignity are two basic values to which organized nursing has urged its members to adhere in their service to mankind. Thus it is the nurses’ duty to provide health care in support of sustenance of life and to pay respect for the patient’s right to dignity. In practice, however, nurses may experience dilemmas between these duties much due to the de velopment of modern advanced techniques. These dilemmas have become more complex and difficult to resolve. Nurses are often faced with situations in which the terminally ill refuse professional care, posing serious conflicts between respect for human life and respect for human rights to self-determination. In such cases, resolution of the problem is not a simple matter, thus requires intensive study into the ethical questions related to the situation. The purpose of this study was to identify ethical problems that nurses experience in caring for terminally ill patients and explore the ways to the resolution of problems within the context of the situations. The methodology used for the study was a case study method which ‘New Casuistry’ proposed by Jonsen & Toulmin(1988) and the ‘Specified Principlism’ proposed by Degrazia(1992) as an alternative to old deductive and intuitive method. Cases were developed through semistructured indepth interviews according to the casutistry method. A total of seven nurses were interviewd who were caring for therminally ill patients. Four cases out of a total 14 cases were related to the topic. Through the case analysis it became evident that nurses appreciated other values more often than respect for the patient’s right to self-determination. These other values were convenience and efficiency in nursing practice in case 1, preservation of life above all other values in case 2, provision of nursing care to fulfill the nurse’s professional obligation at most in case 3, and respect for the family’s demand against the patient’s wish in case 4. This study showed that the most important ethical problems were conflict between respect for the patient’s right to self-determination and sustenance of life for the fulfillment of professional obligation. For this problem, benefit /burden analysis from the perspective of the patient and family for the promotion of patient’s wellbeing may be a way to resolve the conflict. Further, through these analysis it was shown that physicians’ and families’ opinions dominated in the decision - making and the opinions of nurses’ and patients’ tended not to be reflected. Thus the patient's right to his or her care was not readily respected. To solve this problem. nurses should make efforts to communicate reciprocally with their patients, family members and physicians in an effort to respect for their patient’s rights to life and diginity from the point of view and values of the patient. It is also important that nurses provide good basic nursing care up to the time of death regardless of decisions about providing or not aggressive treat-ment for chronically and terminally ill patients.

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A Study on The Consumer Expectation - Performance according to the Types of Internet Shopping Malls (인터넷 쇼핑몰 유형에 따른 소비자 기대-성과에 관한 연구)

  • Lee, In-Ku;Ryoo, Hak-Soo
    • Korean Business Review
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    • v.17 no.2
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    • pp.63-87
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    • 2004
  • To create and maintain comparative supremacy as a strategic tool of business, many organizations have introduced informational technology and system. By using this system, Some companies got a beneficial value for achieving organizational goals but others could not obtain their effectiveness and efficiency. In particular, a lot of organizations that tried to make strategic supremacy with e-commercial trade are under hard condition because of poor profit. It implies that it is essential to identify and analyse the consumer who uses e-commercial trade. This paper, therefore, focusing on internet shopping malls between business and consumer as one of areas of e-commercial trades, shows the difference between consumer expectation and performance. The results of this study are as follows: First, as for the significant difference of influencing factors to consumer satisfactions according to the types of internet shopping malls, there is a meaningful difference in consumer anxiety and internet usefulness, but not in consumer service. Prior to verify the differences in detail on consumer's anxiety and internet usefulness, we examined that there is any difference between expectation and performance. T-test was used for the variants of consumer anxiety and internet usefulness, and its meaningful probability was 0.000, which means that both showed statistically significant difference. Based on the results, we also found that regardless of the types of internet shopping malls, consumer expectation was greater than performance. although the difference between expectation and performance was not equal according to the internet shopping malls. Second, a regression analysis was performed to understand the relation between consumer service, internet usefulness, consumer anxiety, and consumer satisfaction, it was found that consumer service, internet usefulness, consumer anxiety had significantly effected on consumer satisfaction. Third, To verify the relation between consumer satisfaction and repurchase-intentions, intentions to spread out, Pearson correlation analysis was used. it was found that consumer satisfaction had positive effect on both intentions. This study has some limitations because of the shorts of money and time. since the sample of this study was consumers who have ever bought one or more products via internet shopping mall, this sample was appropriate. but the major parts of sample were college students, and the sample size was so small. therefore this results should carefully be generalized. For further study, it is required to select more precise samples and to include more variables.

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