• Title/Summary/Keyword: Problem solving patterns

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An Analysis on the Competence and the Methods of Problem Solving of Children at the Before of School Age in Four Operations Word Problems (학령 전 아이들의 사칙연산 문장제 해결 능력과 방법 분석)

  • Lee, Dae-Hyun
    • Journal of the Korean School Mathematics Society
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    • v.13 no.3
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    • pp.381-395
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    • 2010
  • The purpose of this paper is to examine the competence and the methods of problem solving in four operations word problems based on the informal knowledges by five-year-old children. The numbers which are contained in problems consist of the numbers bigger than 5 and smaller than 10. The subjects were 21 five-year-old children who didn't learn four operations. The interview with observation was used in this research. Researcher gave the various materials to children and permitted to use them for problem solving. And researcher read the word problems to children and children solved the problems. The results are as follows: five-year-old children have the competence of problem solving in four operations word problems. They used mental computation or counting all materials strategy in addition problem. The methods of problem solving were similar to that of addition in subtraction, multiplication and division, but the rate of success was different. Children performed poor1y in division word problems. According to this research, we know that kindergarten educators should be interested in children's informal knowledges of four operations including shapes, patterns, statistics and probability. For this, it is needed to developed the curriculum and programs for informal mathematical experiences.

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An Analysis of Small-group Children′s Consensus Patterns in Open-ended Problem Solving (개방형 문제 해결 과정에서 나타난 소집단 구성원의 합의 패턴 분석)

  • 박우자;전평국
    • Education of Primary School Mathematics
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    • v.7 no.2
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    • pp.117-129
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    • 2003
  • The purpose of this study is to analyze the interaction patterns and the commonly accepted norms of reaching a consensus among small-group children when solving open-ended problems. In conclusion, open-ended problems have various strategies or different acceptable answers, so they give children learning opportunities to compare the answers and to participate in communication. And more valuable interaction patterns come from 'measuring','classifying' problems and open-ended problems with implicit solution. Therefore, teachers might as well consider the relation between problems and interaction patterns when they pose open-ended problems in a small-group study setting. They are expected to empower children to have sociomathematical norms of reaching a consensus un der indirect and supportive guidance.

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Analysis on Analogical Transfer between Mathematical Isomorphic Problems with Different Level of Structuredness (구조화 정도가 다른 수학적 동형 문제 사이의 유추적 전이 분석)

  • Sung, Chang-Geun;Park, Sung-Sun
    • Education of Primary School Mathematics
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    • v.15 no.2
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    • pp.59-75
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    • 2012
  • This study aims to find whether the solutions for well-structured problems learned in school can be transferred to the moderately-structured problem and ill-structured problem. For these purpose, research questions were set up as follows: First, what are the patterns of changes in strategies used in solving the mathematics problems with different level of structuredness? Second, From the group using and not using proportion algorithm strategy in solving moderately-structured problem and ill-structured problem, what features were observed when they were solving that problems? Followings are the findings from this study. First, for the lower level of structuredness, the frequency of using multiplicative strategy was increased and frequency of proportion algorithm strategy use was decreased. Second, the students who used multiplicative strategies and proportion algorithm strategies to solve structured and ill-structured problems exhibited qualitative differences in the degree of understanding concept of ratio and proportion. This study has an important meaning in that it provided new direction for transfer and analogical problem solving study in mathematics education.

Analyzing Collaborative Problem-Solving Behaviors Based Upon Cognitive Motions of IT Personnel and Users (정보기술 전문가와 이용자의 인지이동에 기반한 협력적 문제해결 행위 분석 연구)

  • Kim, Sung-Jin
    • Journal of the Korean Society for information Management
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    • v.22 no.1 s.55
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    • pp.209-228
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    • 2005
  • This study is a preliminary work in examining how to manage resources for collaboratively interactive help systems. The purpose of this article is to describe significant patterns of behaviors and cognitive state in collaborative problem-solving situation, and further to explore the relationship between the behavior and the perception of service evaluation. Based on the concept of 'cognitive motion' in Dervin's Sense-Making theory, this study conducted a time-line interview. The sample of this study consists of 22 IT personnel helping other person solve IT problems and 36 users being helped for a IT problem-solving. This study presents a model of collaborative problem-solving behaviors and discusses some implications for designing help systems which collaborative interactions can happen.

A Study on the Rule for Creation of the Pattern Language of Christopher Alexander (크리스토퍼 알렉산더의 패턴언어 생성규칙에 관한 연구)

  • Jung, Sung-Wook;Kim, Moon-Duck
    • Korean Institute of Interior Design Journal
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    • v.26 no.1
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    • pp.75-82
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    • 2017
  • This study reviews the process of creating the patterns through the Christopher Alexander's books to discover the fundamental rules for creation of the pattern language. The essential ideas of 11 rules describing the characteristics of the pattern language are organized by keyword depending on the characteristics of each rule. Then, this study analyzes which keyword was applied importantly and how it had been developed chronologically in the Alexander's books. As a result, 5 keywords - reflection of cultural difference, reflection of human desires, solving the repeated problem, function suitable for principal purpose, and network structure - are applied to his early books in which the pattern language was theoretically developed, the pattern of traditional society was discovered and the network structure was developed. Another 5 keywords - user participation method, new problem solving, structure preserving transformation, post-mechanization method, and central invariant structure - are applied to the books in his mid-term after completion of the pattern theory which discover new pattern for contemporary society and apply the pattern language to time and space. In his later books which organize the theory of pattern language and suggest the direction for using the pattern language, 5 keywords - wholeness, post-mechanization method, user participation method, new problem solving, and structure preserving transformation - are applied. Users may use the pattern language more precisely if he/she considers the keywords of the early period in searching the patterns of existing environment, the keywords of the intermediate period in searching the patterns of new environment or in regard to time and space, and the keywords of the later period in considering direction of the application of the pattern language.

Students’ Thought Patterns on Problem and Problem Solving in the Course of General Chemistry (일반화학을 수강하는 학생들의 문제 및 문제해결에 대한 사고유형)

  • Lee, Seon Gyeong;Park, Hyeon Ju
    • Journal of the Korean Chemical Society
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    • v.46 no.6
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    • pp.550-560
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    • 2002
  • This study was to explore students' thought patterns on problem and problem solving in the course of general chemistry. The participants were 9 students taking the course of general chemistry in a university in Seoul. Data were collected from various sources; three individual interviews, classroom observations, and essays written by students.Data were all transcribed and then analyzed circularly in constant component analysis. As the results of this study, six thought patterns of students in the context of learning general chemistry were presented. These thought patterns were common and existed important component within most of students' conceptual ecologies about learning chemistry. Implications of chemistry and science learning related to this results were discussed.

Investigation of the Possibility for Identification of Gifted Elementary School Students through Peer Recommendation (또래추천을 통한 초등영재교육 대상자 선발 가능성 탐색)

  • An, Hyun-Joo;Yoo, Mi-Hyun
    • Journal of Gifted/Talented Education
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    • v.24 no.4
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    • pp.577-595
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    • 2014
  • The purpose of this research was to investigate the possibility of peer recommendation and to provide a diverse perspectives identifying for gifted elementary school students. The subjects were 355 elementary school students who were either fourth, fifth, and sixth grade from D elementary school located in Gyeonggi province, 165 elementary school students who are either fourth, fifth, and sixth grade from J elementary school located in Gyeonggi province, and 16 teachers who were home-room teachers for students surveyed. This research investigate the difference of creative personality, achievement motivation, problem solving patterns, and task preference inventory between students recommended by peer and students not recommended by peer. The results of this research were as follows. Firstly, the students recommended by peer showed the significantly higher creative personality, achievement motivation, problem solving patterns, and task preference than the student not recommended by peer. Secondly, as a result of comparing the students recommended by peer and students not recommended by peer for each grade, fifth and sixth grade students showed a significantly higher score in the test than other graders. Fourth grade students showed significantly higher score in every sections in the test, except for the section of creative personality. Therefore, the peer recommandation method can be applied to fifth, and sixth graders. Thirdly, the student recommended by both teacher and peer showed significantly higher problem solving patterns, and task preference scores than the student recommended only by teacher. Therefore, peer recommendation method can be an useful data for complementing teacher recommendation and it can identify gifted elementary school students.

Comparative Analysis on Learning Strategies, Motivation, Beliefs in Ability, and Problem Solving Patterns of the Gifted Achievers and the Gifted Underachievers in Elementary School (성취영재와 미성취영재는 어떻게 다른가?: 학습전략, 동기, 능력신념, 그리고 문제해결성향의 차이분석)

  • Han, Ki-Soon;Shin, Jeong-A
    • Journal of Gifted/Talented Education
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    • v.17 no.1
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    • pp.27-50
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    • 2007
  • The purpose of this study was to examine whether gifted achievers and gifted underachievers differ in their learning strategies, motivation, beliefs in ability, and problem solving patterns. The sample for the study consisted of 68 gifted achievers and 34 gifted underachievers who were in 5th and 6th grades in elementary schools in the metropolitan area. Gifted achievers and gifted underachievers showed statistically significant differences in all aspects using the independent sample t-test. In addition, the discriminant analysis correctly classified over 77.5% of the sample as either gifted achievers or gifted underachievers using the variables used in the study, indicating factors related to learning strategies can be effective measures to identify gifted achievers and underachievers. Especially, extrinsic motivation and problem solving patterns were the most discriminant factors in these two groups. The implications of the study related to the identification and education of the gifted underachievers were discussed in depth.

The relationship between a cognitive styles and a technological problem solving among the industrial high school students (공업계 고등학교 학생의 장독립·장의존 인지양식과 기술적 문제해결과의 관계)

  • Lee, Chang-Hoon;Kim, Ki-Soo
    • 대한공업교육학회지
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    • v.30 no.1
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    • pp.46-55
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    • 2005
  • The purpose of this study is to contemplate the relationship between a cognitive styles(field-independence/dependence, Fl/D)and a technological problem solving(TPS) among the industrial high school students. When it comes to perception, remembrance and consideration, we all have our own individual and steady patterns. We call them cognitive styles. FI/D is one kind of cognitive styles and it is about how dependently we perceive the field which each object has. Custer(1995) presented the technological problem among problem solving existed in various types as organizing it with four conceptional frames, which are invention, design, trouble shooting and procedures. We tested 56students belong to B industrial high school in A city, Korea. We used Group Embedded Figures Test(GEFT) to experiment the FI/D cognitive styles. We also did the TPS test by using an appliance which a researcher has developed. The appliance was made according to the technological problem and its validity was justified by an expert. We came up with a correlation coefficient between the FI/D cognitive styles and TPS to figure out what kind of relationship those two variable factors have and how much they are correlated each other. The correlation coefficient turned out ".59" which means they have significant and positive correlation.To find out the TPS difference between FI group and FD group, we compared each group's TPS score. As a result of the analysis, the FI group's TPS score is significantly higher than FD group's one.

Middle School Students' Analogical Transfer in Algebra Word Problem Solving (중학생을 대상으로 한 대수 문장제 해결에서의 유추적 전이)

  • 이종희;김진화;김선희
    • The Mathematical Education
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    • v.42 no.3
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    • pp.353-368
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    • 2003
  • Analogy, based on a similarity, is to infer the properties of the similar object from properties of an object. It can be a very useful thinking tool for learning mathematical patterns and laws, noticing on relational properties among various situations. The purpose of this study, when manipulating hint condition, figure and table conditions and the amount of original learning by using algebra word problems, is to verify the effects of analogical transfer in solving equivalent, isomorphic and similar problems according to the similarity of source problems and target ones. Five study questions were set up for the above purpose. It was 354 first grade students of S and G middle schools in Seoul that were experimented for this study. The data was processed by MANOVA analysis of statistical program, SPSS 10.0. The results of this studies would indicate that most of the students would be poor at solving isomorphic and similar problems in the performance of analogical transfer according to the similarity of source and target problems. Hints, figure and table conditions did not facilitate the analogical transfer. Merely, on the condition that amount of teaming was increased, analogical transfer of the students was facilitated. Therefore, it is necessary to have students do much more analogical problem-solving experience to improve their analogical reasoning ability through the instruction program development in the educational fields.

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