• Title/Summary/Keyword: Reasoning ability

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An Analysis of Mathematical Modeling Process and Mathematical Reasoning Ability by Group Organization Method (모둠 구성에 따른 수학적 모델링 과정 수행 및 수학적 추론 능력 분석)

  • An, IhnKyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.497-516
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    • 2018
  • The purpose of this study is to compare the process of mathematical modeling in mathematical modeling class according to group organization, and to investigate whether it shows improvement in mathematical reasoning ability. A total of 24 classes with 3 mathematical modeling activities were designed to investigate the research problem. The result of this study showed that the heterogeneous groups performed better than the homogeneous groups in terms of both the performance ability of mathematical modeling and mathematical reasoning ability. This study implies that, with respect to group design for applying mathematical modeling in teaching mathematics, heterogeneous group design would be more efficient than homogeneous group design.

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Convergence Factors Influencing Clinical Reasoning Competency of Nursing Students (간호대학생의 임상적 추론 역량에 미치는 융합적 영향요인)

  • Hahn, Suk-Won;Chun, Yeoleo
    • Journal of the Korea Convergence Society
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    • v.11 no.10
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    • pp.181-186
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    • 2020
  • In this study, an attempt was made to investigate the clinical reasoning of nursing students and to identify the factors that influence it. This study was held to grasp the learning ability related to core nursing competency for 297 3rd and 4rd grade nursing students. Results indicated that there was a significant difference when comparing clinical competence by grade(p=0.001). Also variables effecting clinical reasoning competence were Problem solving ability, Clinical Decision making ability, Clinical practice performance, and grade of nursing students were found to be significant (p,.001). Outcome of this study can be used as the basis for the development of various curriculums to enhance the clinical reasoning competence, in the future, research for this education development is expected to be needed.

Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning Ability - With Focus on the Area of Multiplication for 2nd Graders - (구성주의 수학 수업이 추론능력에 미치는 영향 - 초등학교 2학년 곱셈을 중심으로 -)

  • Jung, Hyunsil;Kim, Jinho
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.31-61
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    • 2013
  • The purpose of this study is to confirm constructivists' assumption that when a little low level learners are taken in learner-centered instruction based on a constructivism they can also construct knowledge by themselves. To achieve this purpose, the researchers compare the effects of learner-centered instruction based on the constructivism and teacher-centered instruction based on the objective epistemology where second graders learn multiplication facts through the each treatment on learners' reasoning ability and achievement. Some conclusions are drawn from results as follows. First, learner-centered instruction based on a constructivism has significant effect on learners' reasoning ability. Second, learner-centered instruction has slightly positive effect on learners' deductive reasoning ability. Third, learner-centered instruction has more an positive influence on understanding concepts and principles of not-presented mathematical knowledge than teacher-centered instruction when implementing it with a little low level learners.

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Mathematical Reasoning Ability and Error Comparison through the Descriptive Evaluation of Mathematically Gifted Elementary Students and Non-Gifted Students (초등수학영재와 일반학생의 서술형 평가를 통한 수학적 추론 능력 및 오류 비교)

  • Kim, Dong Gwan;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.123-148
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    • 2014
  • The purpose of this study is to figure out the perceptional characteristics of mathematically gifted elementary students by comparing the mathematical reasoning ability and errors between mathematically gifted elementary students and non-gifted students. This research has been targeted at 63 gifted students from 5 elementary schools and 63 non-gifted students from 4 elementary schools. The result of this research is as follows. First, mathematically gifted elementary students have higher inductive reasoning ability compared to non-gifted students. Mathematically gifted elementary students collected proper, accurate, systematic data. Second, mathematically gifted elementary students have higher inductive analogical ability compared to non-gifted students. Mathematically gifted elementary students figure out structural similarity and background better than non-gifted students. Third, mathematically gifted elementary students have higher deductive reasoning ability compared to non-gifted students. Zero error ratio was significantly low for both mathematically gifted elementary students and non-gifted students in deductive reasoning, however, mathematically gifted elementary students presented more general and appropriate data compared to non-gifted students and less reasoning step was achieved. Also, thinking process was well delivered compared to non-gifted students. Fourth, mathematically gifted elementary students committed fewer errors in comparison with non-gifted students. Both mathematically gifted elementary students and non-gifted students made the most mistakes in solving process, however, the number of the errors was less in mathematically gifted elementary students.

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The Effect of Geometry Learning through Spatial Reasoning Activities on Mathematical Problem Solving Ability and Mathematical Attitude (공간추론활동을 통한 기하학습이 수학적 문제해결력과 수학적 태도에 미치는 효과)

  • Shin, Keun-Mi;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.401-420
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    • 2010
  • The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

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An analysis on middle school students' space geometrical thinking based on cylinder (원기둥을 이용한 중학생의 공간기하 이해 능력 분석)

  • Chang, Hyun Suk;Hong, Jeong Ae;Lee, Bongju
    • The Mathematical Education
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    • v.59 no.2
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    • pp.113-130
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    • 2020
  • The purpose of this study is to analyze how well middle school students understand space geometrical concept related to a cylinder. To this end, we developed the test tool based on prior research and examined 433 middle school students in November and December, 2018. And in March 2019, we interviewed 4 students who showed some type of errors. The difference in the correct answer rate of the questions by the grade and gender was tested, and the error type was analyzed based on the student's responses to the questions to evaluate the spatial reasoning ability. The results of this study are as follows. First, the difference by graders was not statistically significant in the questions evaluating spatial visual ability. On the other hand, in the case of the two questions for evaluating spatial measurement ability and spatial reasoning ability, the difference in the correct answer rate between the 7th graders and 8th is not significant, but the difference between lower graders and 9th was significant. Second, there was no significant difference in the spatial geometric ability of all girls and boys participating in this study. Third, analyzing the student's error type for an item which assessed spatial reasoning ability, we found that there are various error types in relation to visual, manipulative, and reasoning errors.

Investigation of the Components for Assessing the Ability of Engineering Design (공학설계능력의 평가 요소 구명)

  • Kim Tae-Hoon;Lee So-Yee;Rho Tae-Cheon
    • Journal of Engineering Education Research
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    • v.8 no.3
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    • pp.49-56
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    • 2005
  • The purposes of this study are to select assessment components for the engineering design ability and to verify the validity of the selected assessment components. From the results of the study, the following conclusions were made. $\cdot$ Social Ability : 'Communication' and 'Teamwork' $\cdot$ Procedure Ability : 'Acknowledging and Defining Problems', 'Planning and Maintaining', 'Collecting Information', 'Deriving Ideas' and 'Evaluating Ideas' $\cdot$ Experience : 'Engineering Experience' and 'Science Experience' $\cdot$ Knowledge : 'Engineering Knowledge', 'Science Knowledge' and 'Mathematics Knowledge', 'Visualization Ability': 'Sketching' and 'Drawing' $\cdot$ Reasoning : 'Converging Reasoning' 'Inductive Reasoning' and 'Intuitive Reasoning'

A Study on Construction of Multiplication Knowledge with Low Reasoning Ability (추론 능력이 열등한 초등학교 2학년 학생의 곱셈 지식 구성 능력에 관한 연구)

  • Lee, So-Min;Kim, Jin-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.1
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    • pp.47-70
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    • 2009
  • The purpose of this research was to confirm one of constructivists' assumptions that even children 조o are with low reasoning ability can make reflective abstracting ability and cognitive structures by this ability can make generation ability of new knowledge by themselves. To investigate the assumption, learner-centered instruction were implemented to 2nd grade classroom located in Suseong Gu, DaeGu City and with lesson plans which initially were developed by Burns and corrected by the researchers. Recordings videoed using 2 video cameras, observations, instructions, children's activity worksheets, instruction journals were analyzed using multiple tests for qualitative analysis. Some conclusions are drawn from the results. First, even children with low reasoning ability can construct mathematical knowledge on multiplication in their own. ways, Thus, teachers should not compel them to learn a learning lesson's goals which is demanded in traditional instruction, with having belief they have reasoning ability. Second, teachers need to have the perspectives of respects out of each child in their classroom and provide some materials which can provoke children's cognitive conflict and promote thinking with the recognition of effectiveness of learner-centered instruction. Third, students try to develop their ability of reflective and therefore establish cognitive structures such as webs, not isolated and fragmental ones.

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A Study on Clinical Reasoning Ability and Academic Achievements in Nursing Students (간호대학생의 임상추론 능력과 학업성취도)

  • Kim, Jeong Ah;Ko, Ja-Kyung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.3
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    • pp.1874-1883
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    • 2015
  • The purpose of this study was to verify clinical reasoning of nursing students as well as clarify the relevance between clinical reasoning and academic achievement. 87 students broke into 30 groups of two or three. The students performed post operative care for adult patients in the simulation practicum course of their final semester. Data were collected by evaluating the video-recorded nursing practicum using the clinical reasoning rubric. Clinical reasoning of 61(70.1%) students was limited to the beginning level and that of 6(6.9%) students of the highest scoring was at the third level among the four levels of ability. There was no significant correlation between clinical reasoning and the final cumulative GPA, while there was low level of significant correlation between clinical reasoning and GPA of adult health nursing course or adult health nursing practicum course. Therefore, it is necessary to improve the nursing curriculum to enhance nursing students' clinical reasoning.

An Investigation on $6^{th}$ Grade Students' Spatial Sense and Spatial Reasoning (초등학교 6학년 학생들의 공간감각과 공간추론능력 실태조사)

  • Kim, Yu-Kyung;Pang, Jeong-Suk
    • School Mathematics
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    • v.9 no.3
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    • pp.353-373
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    • 2007
  • The purpose of this study was to provide instructional suggestions by investigating the spatial sense and spatial reasoning ability of 6th grade students. The questionnaire consisted of 20 questions, 10 for spatial visualization and 10 for spatial orientation. The number of subjects for the survey was 145. The processes through which the students solved the problems were the basis for the assessment of their spatial reasoning. The result of the survey is as follows: First, students performed better in spatial visualization than in spatial orientation. With regard to spatial visualization, they were better in transformation than in rotation. With regard to spatial orientation, students performed better in orientation sense and structure cognitive ability than in situational sense. Second, the students that weren't excellent in spatial visualization tended to answer the familiar figures without using mental images. The students who lacked spatial orientation experienced difficulties finding figures observed from the sides. Third, students had high frequency rate on the cognition and use of transformation, the development and application of visualization methods and the use of analysis and synthesis. However they had a lower rate on a systematic approach and deductive reasoning. Further detailed investigation into how students use spatial reasoning, and apply it to actual teaching practice as a device for advancing their geometric thinking is necessary.

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