• Title/Summary/Keyword: Reasoning Ability

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An Analysis of Correlation between Relational Understanding and Creative Math Problem Finding Ability (관계적 이해와 창의적 수학 문제발견능력과의 상관관계 분석)

  • Kim, Eun-Jin;Kwean, Hyuk-Jin
    • Journal of the Korean School Mathematics Society
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    • v.15 no.3
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    • pp.511-533
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    • 2012
  • In order to determine whether there is a significant correlation between relational understanding and creative math. problem finding ability, this study performed relational understanding and problem finding ability tests on a sample of 186 8th grade middle school students. According to the study results, we found a very significant positive correlation between relational understanding and the creativity of the mathematising ability and the combining ability of mathematical concepts in the problem finding ability. Although there was no statistically significant correlation between relational understanding and the extension ability of mathematical facts, the results from analyzing the students response rate and actual scores in each test showed that students with high relational understanding scores also had high response rate and high scores in analogical reasoning and inductive reasoning. Through this study, therefore, relational understanding is found to have a positive impact on the creative mathematics problem finding ability.

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How Do the Prefrontal Lobes Mediate Scientific Reasoning and Conceptual Change in Adolescents ? (청소년들에게서 전두엽연합령은 어떻게 과학적 추론 및 과학개념 변화의 수행을 매개하는가?)

  • Kwon, Yong-Ju
    • Journal of The Korean Association For Science Education
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    • v.18 no.3
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    • pp.427-441
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    • 1998
  • The present study tested the hypothesis that adolescents' performance on scientific reasoning tasks and their ability to change theoretical concepts during instruction are mediated by prefrontal-cognitive functions, such as planning and inhibiting. Subjects sampled from four Korean secondary schools were administered a test of scientific reasoning ability and tests of the prefrontal lobe functions. A series of lessons on theoretical concepts was also administered. Subjects' performance on the test of scientific reasoning and pre- to posttest gains in the concept test were used as dependent variables. This study found that students' planning and inhibiting abilities were highly correlated with and they significantly predicted their scientific reasoning ability and conceptual gains. Further, principal component analysis showed prefrontal lobe functions were categorized into two main components. Component 1, which was loaded by planning and working memory functions, was termed as the representing process. Component 2, which was loaded primarily by the inhibiting functions, was termed as the inhibiting process. Scientific reasoning and conceptual change were also linked to these two components, indicating that these cognitive processes are mediated by both representing and inhibiting processes.

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Z. Cao's Fuzzy Reasoning Method using Learning Ability (학습기능을 사용한 Z. Cao의 퍼지추론방식)

  • Park, Jin-Hyun;Lee, Tae-Hwan
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2008.05a
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    • pp.193-196
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    • 2008
  • Z. Cao had proposed NFRM(new fuzzy reasoning method) which infers in detail using relation matrix. In spite of the small inference rules, it shows good performance than mamdani's fuzzy inference method. In this paper, we propose 2. Cao's fuzzy inference method using learning ability witch is used a gradient descent method in order to improve the performances. Because it is difficult to determine the relation matrix elements by trial and error method which is needed many hours and effort. Simulation results are applied linear and nonlinear system show that the proposed inference method has good performances.

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Z. Cao's Fuzzy Reasoning Method using Learning Ability (학습기능을 이용한 Z. Cao의 퍼지추론방식)

  • Park, Jin-Hyun;Lee, Tae-Hwan;Choi, Young-Kiu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.9
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    • pp.1591-1598
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    • 2008
  • Z. Cao had proposed NFRM(new fuzzy reasoning method) which infers in detail using relation matrix. In spite of the small inference rules, it shows good performance than mamdani's fuzzy inference method. In this paper, we propose Z. Cao's fuzzy inference method with learning ability which is used a gradient descent method in order to improve the performances. It is hard to determine the relation matrix elements by trial and error method. Because this method is needed many hours and effort. Simulation results are applied nonlinear systems show that the proposed inference method using a gradient descent method has good performances.

Relationships between Piagetian Congnitive Modes and Integrated Science Process Skills for High School Students (고교생의 논리적사고력과 과학탐구 기능 사이의 상관관계에 관한 연구)

  • Lim, Cheong-Hwan;Jeong, Jin-Woo
    • Journal of The Korean Association For Science Education
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    • v.11 no.2
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    • pp.23-30
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    • 1991
  • The purpose of this study is to investigate the interrelationships on integrated science process skills and Piagetian cognitive modes for high school students according to the different cognitive reasoning levels. About 509 high school students were randomly selected for the samples of this study. They were identified as concrete, transitional and formal operational stage with the scores of GALT(Group Assessment of Logical Thinking) developed by Roadrangka, Yeaney and Padilla(1982), and TIPS II(Test of Integrated Process Skills) developed by Burns, Wise and Okey(1983). The result of this study were showed that about 11.8% of the samples were in the concrete operational stage and about 24.4% of the samples were in the transitional stage, while about 63.8% of them were in the formal operational stage. It was also found that the achivement scores of the science process skills increase in accordance with the cognitive reasoning levels. The value of the correlation coefficient between science process skills and cognitive reasoning abilities was 0.49, which was significant at the 0.05 level. This finding seems to support previous research that the student's cognitive reasoning abilities appeared to have influenced student's scores of the science process skills No differences to the logical reasoning ability between male and female students according to each cognitive level were found except formal operational stage.

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A Case Study of the Characteristics of Mathematically Gifted Elementary Students' Statistical Reasoning : Focus on the Recognition of Variability (초등수학영재들의 통계적 사고 특성 사례 분석: 변이성에 대한 인식을 중심으로)

  • Lee, Hyung-Sook;Lee, Kyeong-Hwa;Kim, Ji-Won
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.339-356
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    • 2010
  • It is important for children to develop statistical reasoning as they think through data. In particular, it is imperative to provide children instructional situations in which they are encouraged to consider variability in data because the ability to reason about variability is fundamental to the development of statistical reasoning. Many researchers argue that even highperforming mathematics students show low levels of statistical reasoning; interventions attending to pedagogical concerns about child ren's statistical reasoning are, thus, necessary. The purpose of this study was to investigate 15 gifted elementary students' various ways of understanding important statistical concepts, with particular attention given to 3 students' reasoning about data that emerged as they engaged in the process of generating and graphing data. Analysis revealed that in recognizing variability in a context involving data, mathematically gifted students did not show any difference from previous results with general students. The authors suggest that our current statistics education may not help elementary students understand variability in their development of statistical reasoning.

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Changes of Correlational Reasoning Patterns of Middle School Students Through the Correlational Reasoning Activities (상관논리 활동을 통한 중학생들의 상관논리 유형 변화)

  • Park, Jong-Yoon;Kim, Ji-Young;Nam, Jeong-Hee;Lee, Sang-Kwon;Choi, Byung-Soon
    • Journal of The Korean Association For Science Education
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    • v.22 no.4
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    • pp.696-705
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    • 2002
  • The main purpose of this study is to investigate whether the correlational reasoning activities could improve middle school students' correlational reasoning abilities. The subjects were 8th grade students, and the correlational reasoning activities of the CASE(cognitive acceleration through science education) program was intervened to the experimental group(n=111) during science class while usual science instruction was given to the control group(n=55). The correlational reasoning test was administered before and after the intervention. The pre-test results showed that most of subjects performed poorly in correlation problems and no significant differences were found between the two groups. In the post-test, the experimental group showed enhanced performance while the control group did not. Therefore it can be concluded that CASE program activities help the students to improve correlational reasoning ability. However, the proportions of students gave correct response were not so high: 27% for the multiple-choice item and about 6% for the essay-type items.

A Study on Home Environmental & Social Cognitive Factors Affecting Children's Prosocial Behavior Development (아동의 친사회적 행동발달에 영향을 미치는 가정환경 및 사회인지적 요인들)

  • 한순옥
    • Journal of the Korean Home Economics Association
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    • v.26 no.3
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    • pp.243-253
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    • 1988
  • This study is mainly concerned with providing a basis for children's prosocial behavior development. The objective of this study is to investigate the factors affecting children's prosocial behavior. The Main two factors affecting children's prosocial behavior development are home environmental and social cognitive ability, and concrete variables in these factors are as follows : 1) Home environmental factor; parental warmth, parental restrictiveness and inductive reasoning and prosocial modeling. 2) Social cognitive factor ; children's role taking ability and empathic ability and with these, several situational variables are also concerned with prosocial behavior.

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Children's Generating Hypotheses on the Pendulum Motion: Roles of Abductive Reasoning and Prior Knowledge (진자운동에서 아동의 가설 생성: 귀추와 선지식의 역할)

  • Joeng, Jin-Su;Park, Yun-Bok;Yang, Il-Ho;Kwon, Yong-Ju
    • Journal of the Korean earth science society
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    • v.24 no.6
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    • pp.524-532
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    • 2003
  • The purpose of the present study was to test the hypothesis that student's abductive reasoning skills play an important role in the generation of hypotheses on pendulum motion tasks. To test the hypothesis, a hypothesis-generating test on the pendulum motion and a prior knowledge test about the length of the pendulum motion were developed and administered to a sample of 5th grade children. A significant number of subjects who have the prior knowledge about the length of the pendulum motion failed to apply that prior knowledge to generate a hypothesis on a swing task. These results showed that students' failure in hypothesis-generating was related to their deficiency in abductive reasoning ability, rather than the simple lack of prior knowledge. Furthermore, children's successful generating hypothesis should be required their abductive reasoning skills as well as prior knowledge. Therefore, this study supports the notion that abductive reasoning ability beyond prior knowledge plays an important role in the process of hypothesis-generation. This study suggests that science education should provide teaching about abdctive reasoning as well as scientific declarative knowledge for developing children's hypothesis-generating skills.

A Study on the Solving Proportion Problems of Mathematics Textbooks and Proportional Reasoning in 6th Graders (초등학교 6학년 학생들의 교과서 비례 문제 해결과 비례 추론에 관한 연구)

  • Kwan, Mi-Suk;Kim, Nam-Gyunl
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.211-229
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    • 2009
  • The purpose of this study is analysis of to investigate relation proportion problem of mathematics textbooks of 7th curriculum to proportional reasoning(relative thinking, unitizing, partitioning, ratio sense, quantitative and change, rational number) of Lamon's proposal at sixth grade students. For this study, I develop two test papers; one is for proportion problem of mathematics textbooks test paper and the other is for proportional reasoning test paper which is devided in 6 by Lamon. I test it with 2 group of sixth graders who lived in different region. After that I analysis their correlation. The result of this study is following. At proportion problem of mathematics textbooks test, the mean score is 68.7 point and the score of this test is lower than that of another regular tests. The percentage of correct answers is high if the problem can be solved by proportional expression and the expression is in constant proportion. But the percentage of correct answers is low, if it is hard to student to know that the problem can be expressed with proportional expression and the expression is not in constant proportion. At proportion reasoning test, the highest percentage of correct answers is 73.7% at ratio sense province and the lowest percentage of that is 16.2% at quantitative and change province between 6 province. The Pearson correlation analysis shows that proportion problem of mathematics textbooks test and proportion reasoning test has correlation in 5% significance level between them. It means that if a student can solve more proportion problem of mathematics textbooks then he can solve more proportional reasoning problem, and he have same ability in reverse order. In detail, the problem solving ability level difference between students are small if they met similar problem in mathematics text book, and if they didn't met similar problem before then the differences are getting bigger.

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