• Title/Summary/Keyword: problem-solving reasoning

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Effects of Practical Reasoning Instruction on Problem Solving Ability (실천적 추론 가정과 수업이 문제해결력에 미치는 효과)

  • Yoo, Tae-Myung;Lee, Hyo-Soon
    • Journal of Korean Home Economics Education Association
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    • v.21 no.2
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    • pp.203-215
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    • 2009
  • A research problem for this study is formulated: "Is practical reasoning instruction effective on raising problem solving ability?" This study is a quasi-experimental study with independent variable of practical reasoning instruction and dependent variable of problem solving ability. Six class hours of experimental input for the 'Housing space' is implemented for an experimental group. T-test results show that practical reasoning instruction is effective on total problem solving ability whereas is not effective on 'implementing alternative action' sub-area of problem solving. This study suggests for the future studies to systematically design practical reasoning classes in consider of appropriate class times and sub-areas of problem solving. Input of an experienced teacher of practical reasoning is also recommended to generalize the results of the experimental study.

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Exploring Student's Ability to Improve Debate Based on Mathematics Competencies (수학교과역량에 기반한 학습자의 토론 능력 향상 방안 탐색)

  • Kim, Soocheol
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.8 no.12
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    • pp.1-10
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    • 2018
  • The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

Evaluation of Effects of a Clinical Reasoning Course among Undergraduate Nursing Students (시뮬레이션을 적용한 임상추론 교과목의 적용효과: 일 대학의 예를 중심으로)

  • Lee, Ju-Hee;Choi, Mo-Na
    • Korean Journal of Adult Nursing
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    • v.23 no.1
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    • pp.1-9
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    • 2011
  • Purpose: To evaluate undergraduate nursing students' ability in clinical competence, critical thinking, and problem solving following enrollment in a clinical reasoning course. Methods: A clinical reasoning course utilizing a human patient simulator and scenarios was offered to 22 senior students at a College of Nursing in Seoul. Students' clinical competence was measured with a checklist of 15 items by analyzing students' performance recorded on video tapes for eight scenarios. Critical thinking disposition and problem solving were measured by a self-administered questionnaire before and after the course. Data were analyzed using descriptive statistics and Wilcoxon signed-rank test. Results: The high scored items of clinical competence were: 'obtain relevant subjective/objective data', 'interpret vital signs', 'communicate with healthcare providers', and 'utilize standard precautions including handwashing.' Students' critical thinking and problem solving scores following the course were increased with statistical significance. Conclusion: A clinical reasoning course utilizing a human patient simulator creates a realistic clinical environment for nursing students and provides the opportunity to obtain clinical competence, critical thinking, and problem solving skills.

Effect of Learning a Divide-and-conquer Algorithm on Creative Problem Solving (분할 정복 알고리즘 학습이 창의적 문제 해결에 미치는 효과)

  • Kim, Yoon Young;Kim, Yungsik
    • The Journal of Korean Association of Computer Education
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    • v.16 no.2
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    • pp.9-18
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    • 2013
  • In secondary education, learning a computer science subject has the purpose to improve creative problem solving ability of students by learning computational thinking and principles. In particular, learning algorithm has been emphasized for this purpose. There are studies that learning algorithm has the effect of creative problem solving based on the leading studies that learning algorithm has the effect of problem solving. However, relatively the importance of the learning algorithm can weaken, because these studies depend on creative problem solving model or special contents for creativity. So this study proves that learning algorithm has the effect of creative problem solving in the view that common problem solving and creative problem solving have the same process. For this, analogical reasoning was selected among common thinking skills and divide-and-conquer algorithm was selected among abstractive principles for analogical reasoning in sorting algorithm. The frequency which solves the search problem by using the binary search algorithm was higher than the control group learning only sequence of sorting algorithm about the experimental group learning divide-and-conquer algorithm. This result means that learning algorithm including abstractive principle like divide-and-conquer has the effect of creative problem solving by analogical reasoning.

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Research Trends in Large Language Models and Mathematical Reasoning (초거대 언어모델과 수학추론 연구 동향)

  • O.W. Kwon;J.H. Shin;Y.A. Seo;S.J. Lim;J. Heo;K.Y. Lee
    • Electronics and Telecommunications Trends
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    • v.38 no.6
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    • pp.1-11
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    • 2023
  • Large language models seem promising for handling reasoning problems, but their underlying solving mechanisms remain unclear. Large language models will establish a new paradigm in artificial intelligence and the society as a whole. However, a major challenge of large language models is the massive resources required for training and operation. To address this issue, researchers are actively exploring compact large language models that retain the capabilities of large language models while notably reducing the model size. These research efforts are mainly focused on improving pretraining, instruction tuning, and alignment. On the other hand, chain-of-thought prompting is a technique aimed at enhancing the reasoning ability of large language models. It provides an answer through a series of intermediate reasoning steps when given a problem. By guiding the model through a multistep problem-solving process, chain-of-thought prompting may improve the model reasoning skills. Mathematical reasoning, which is a fundamental aspect of human intelligence, has played a crucial role in advancing large language models toward human-level performance. As a result, mathematical reasoning is being widely explored in the context of large language models. This type of research extends to various domains such as geometry problem solving, tabular mathematical reasoning, visual question answering, and other areas.

High School Students' Reasoning Characteristics in Problem Solving (문제해결 과정에서 나타난 고등학생들의 수학적 추론 특성)

  • Kang, Yun Soo;Kim, Min Ju
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.241-263
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    • 2013
  • The purpose of this paper is to investigate high school students' reasoning characteristics in problem solving. To do this, we selected five high school students as participants and presented them some open problems which allow diverse solving approaches, and recorded their problem solving process. Through analyzing their problem solving process relate to their solution, we found the followings: First, students quickly try to calculate without understanding the given problem. Second, students concern whether their solution is right or not rather than consider mathematical warrants for the results of their strategies. Third, students have difficulties to consider more than two conditions at the same time necessary to solve problem. Forth, students are not familiar to use precedence knowledge relate to given tasks. Fifth, students could have difficulties in problem solving because of easy generalization.

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Algebraic Reasoning Abilities of Elementary School Students and Early Algebra Instruction(1) (초등학생의 대수 추론 능력과 조기 대수(Early Algebra) 지도(1))

  • Lee, Hwa Young;Chang, Kyung Yoon
    • School Mathematics
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    • v.14 no.4
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    • pp.445-468
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    • 2012
  • This study is tried in order to link informal arithmetic reasoning to formal algebraic reasoning. In this study, we investigated elementary school student's non-formal algebraic reasoning used in algebraic problem solving. The result of we investigated algebraic reasoning of 839 students from grade 1 to 6 in two schools, Korea, we could recognize that they used various arithmetic reasoning and pre-formal algebraic reasoning which is the other than that is proposed in the text book in word problem solving related to the linear systems of equation. Reasoning strategies were diverse depending on structure of meaning and operational of problems. And we analyzed the cause of failure of reasoning in algebraic problem solving. Especially, 'quantitative reasoning', 'proportional reasoning' are turned into 'non-formal method of substitution' and 'non-formal method of addition and subtraction'. We discussed possibilities that we are able to connect these pre-formal algebraic reasoning to formal algebraic reasoning.

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A Study on Affective Factor and the Differences related to Problem-Solving in Mathematics and Reasoning Ability -Focused on 6th graders in Elementary School- (수학적 문제해결력 및 추론능력과 관련된 정의적 요소와 그 차이에 관한 분석 - 6학년 아동을 중심으로 -)

  • 박경옥;박영희
    • Education of Primary School Mathematics
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    • v.7 no.2
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    • pp.101-116
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    • 2003
  • In recent days, it is stressed that problem solving ability and inference ability to get a higer accomplishment are very important. The purpose of this research is to explore the affective factors related the problem solving ability and reasoning ability. Also, we explored the difference between the two affective factors focusing on 6th graders in primary school.

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Development of the Items for the Assessment of Mathematical Thinking (수학적 사고력 측정을 위한 수학 평가 도구의 개발)

  • Shin, Joon-Sik;Ko, Jung-Hwa;Park, Moon-Hwan;Park, Sung-Sun;Seo, Dong-Yeop
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.619-640
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    • 2011
  • The study aims the introducing the items for the assessment of mathematical thinking including mathematical reasoning, problem solving, and communication and the analyzing on the responses of the 5th grade pupils. We categorized the area of mathematical reasoning into deductive reasoning, inductive reasoning, and analogy; problem solving into external problem solving and internal one; and communication into speaking, reading, writing, and listening. And we proposed the examples of our items for each area and the 5th grade pupils' responses. When we assess on pupil's mathematical reasoning, we need to develop very appropriate items needing the very ability of each kind of mathematical reasoning. When pupils solve items requesting communication, the impact of the form of each communication seem to be smaller than that of the mathematical situation or sturucture of the item. We suggested that we need to continue the studies on mathematical assessment and on the constitution and utilization of cognitive areas, and we also need to in-service teacher education on the development of mathematical assessments, based on this study.

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A Study on Children's Proportional Reasoning Based on An Ill-Structured Problem (초등수학 비구조화된 문제 해결 과정에서의 비례적 추론)

  • Hong, Jee Yun;Kim, Min Kyeong
    • School Mathematics
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    • v.15 no.4
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    • pp.723-742
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    • 2013
  • The purpose of this study was to analyze children's proportional reasoning process on an ill-structured "architectural drawing" problem solving and to investigate their level and characteristics of proportional reasoning. As results, they showed various perspective and several level of proportional reasoning such as illogical, additive, multiplicative, and functional approach. Furthermore, they showed their expanded proportional reasoning from the early stage of perception of various types of quantities and their proportional relation in the problem to application stage of their expanded and generalized relation. Students should be encouraged to develop proportional reasoning by experiencing various quantity in ration and proportion situations.

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